From db3987bfeea26aabc4b372b6f1b1bcbfbeb08760 Mon Sep 17 00:00:00 2001 From: "filipe@flexcompute.com" Date: Thu, 23 Oct 2025 16:07:26 -0300 Subject: [PATCH 1/6] Upload TFLN EOM Tidy3D notebook --- TFLNTidy3d.ipynb | 1638 ++++++++++++++++++++++++++++++ docs/case_studies/pic_active.rst | 1 + img/TFLN_EOM_Tidy3D.png | Bin 0 -> 86113 bytes 3 files changed, 1639 insertions(+) create mode 100644 TFLNTidy3d.ipynb create mode 100644 img/TFLN_EOM_Tidy3D.png diff --git a/TFLNTidy3d.ipynb b/TFLNTidy3d.ipynb new file mode 100644 index 00000000..372b4050 --- /dev/null +++ b/TFLNTidy3d.ipynb @@ -0,0 +1,1638 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "986c97ec", + "metadata": {}, + "source": [ + "# Thin film Lithium Niobate electro-optic modulator using Tidy3D\n", + "\n", + "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", + "\n", + "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", + "\n", + "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n", + "\n", + "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", + "\n", + "\"Schematic" + ] + }, + { + "cell_type": "markdown", + "id": "6fbeeff2", + "metadata": {}, + "source": [ + "### Workflow Overview\n", + "\n", + "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", + "\n", + "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode.\n", + "\n", + "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "7cc91408", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import tidy3d as td\n", + "\n", + "# RF utilities for impedance and port definitions\n", + "import tidy3d.plugins.microwave as mw\n", + "import tidy3d.plugins.smatrix as sm\n", + "from matplotlib import pyplot as plt\n", + "from tidy3d import web\n", + "from tidy3d.plugins.mode import ModeSolver\n", + "\n", + "td.config.logging_level = \"ERROR\"" + ] + }, + { + "cell_type": "markdown", + "id": "49b37a57", + "metadata": {}, + "source": [ + "## Optical Waveguide " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a43b5172", + "metadata": {}, + "outputs": [], + "source": [ + "eff_inf = 1e3\n", + "\n", + "opt_wavelength = 1.55\n", + "freq_opt = td.C_0 / opt_wavelength\n", + "\n", + "\n", + "# Optical materials pulled from the Tidy3D library\n", + "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", + "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", + "\n", + "# Ridge geometry parameters\n", + "sidewall_angle = 15\n", + "core_thickness = 0.2\n", + "core_width = 3.0\n", + "slab_thickness = 0.2\n", + "plane_size = 8\n", + "plane_limits = (-1.5, 1.9)\n", + "plane_height = 3.4\n", + "\n", + "\n", + "ridge = td.Structure(\n", + " name=\"ridge\",\n", + " geometry=td.Box(\n", + " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", + " ),\n", + " medium=LiNbO3,\n", + ")\n", + "\n", + "core = td.Structure(\n", + " geometry=td.PolySlab(\n", + " sidewall_angle=sidewall_angle * np.pi / 180,\n", + " reference_plane=\"top\",\n", + " slab_bounds=[0, core_thickness],\n", + " vertices=[\n", + " [-eff_inf, -core_width / 2],\n", + " [eff_inf, -core_width / 2],\n", + " [eff_inf, core_width / 2],\n", + " [-eff_inf, core_width / 2],\n", + " ],\n", + " ),\n", + " name=\"core\",\n", + " medium=LiNbO3,\n", + ")\n", + "\n", + "\n", + "# Auto grid with 20 pts/λ\n", + "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", + "\n", + "sim_opt = td.Simulation(\n", + " size=(10.0, plane_size, plane_height),\n", + " run_time=1e-12,\n", + " medium=SiO2,\n", + " structures=[ridge, core],\n", + " grid_spec=grid_spec,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "e8801650", + "metadata": {}, + "source": [ + "### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5edff819", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YWCiEEOLnn38WTZo0EZMnTxbLly8XixcvFp07dxa2trYiPj5eCCHEpEmThK+vr5gxY4ZYtWqV+Oyzz0STJk1E06ZNRXZ2dpn1GzOuqKhI9O3bVygUCjFkyBCxZMkSERkZKcaNGycaNGhgcFwzZ84UAES3bt3El19+KZYsWSJCQkLE1KlTpT4TJkwQCoVCfPrpp+KHH36Qfgng8btiH507f39/ERkZKaZNmybs7e1Fs2bNpPkV4uFdsXXq1ClzfsuTlZUl6tevLzw9PcVXX30lFi5cKHx9fUXHjh1L1DN//nwBQHz44Ydiw4YNYtu2bWVuNyMjQzRq1Ej07NlTupMzKytLuLi4iICAgCr5hY1ly5YJAOLNN98Uq1atEiEhIQKA+Oyzzwz6Fc/Do8cixMO7Wm1sbMRHH30kvvnmG9GtWzdhY2Mj9u/fb9Dv+PHjQqVSGfzyhFqtFn369DGqzvfee080adLE4I5WIR7eFWtnZydeeeUVsWLFCjFz5kzh6OgonJycRIsWLcSGDRuEEGX/GSo+rsfv6i7r89CuXTsxbNgwo2omshQMdkQ1LDU1VYSEhAhnZ2ehUqnEM888IyZOnCgKCgqEEOUHOyEePt6kdevWwtbWVri4uIjx48cbhJbLly+Lf/7zn6J58+ZCrVaLBg0aiJ49e4rdu3dLfeLi4sSAAQOEm5ubUCqVws3NTQwdOlT8+eef5dZu7LjCwkLxxRdfCG9vb6FSqUT9+vWFn5+fmDNnTolHd6xZs0b4+vpK/Xr06CF27dolrddqtaJfv36ibt26AoD0WIrSgp0QQmzatEnaXoMGDcTbb78trl27ZtDnSYKdEEIcPnxYdO3aVdjZ2Qk3NzcRFhYmfv/99xL13Lt3T/zjH/8Q9erVEwDKffTJG2+8IerWrSuuXLli0L5161YBQHzxxRcV1mWMlStXilatWgmlUimaN28uFi1aVCJAlRXs8vLyxJQpU4RGoxEqlUp07txZxMbGlrqfgwcPim7dugm1Wi2cnZ3FxIkThU6nM6rGEydOCAAlHpkDQISGhopBgwYJOzs74erqKpYuXSqioqKEvb29GD16tBCiaoLd2bNnBQCDPzdETwP+pBgREVmc3r17w83NDd99953UplAoMGvWrFJ/faKqTZ48GQcOHMDx48d5Vyw9VXiNHRERWZx///vf2LRpk/QYm5p069YtrF69GvPmzWOoo6cOH3dCREQWx9/fv8zn7lW3hg0b4t69e2bZN9GT4hk7IiIiIpngGTsiInoq8JJwoorxjB0RERGRTDDYEREREckEv4o1kl6vx40bN1C3bl3eJUVEREQmEULg7t27cHNzK/H7z1WJwc5IN27cwIoVK5CdnW3Uj2+bSqlUSm+0Xq83y91gNjY2sLH5+yNRUFBQ49e0KBQKqFQq6fWDBw9K/DxWTeD78RDfj7/x/fgb34+H+H78je/H38p6P6ytrbF8+XJcvXoVTZs2rbb9M9gZqW7dusjOzsaIESOg0WjMXQ4RERE9RbRaLZYvX466detW634Y7IykUChQVFQEjUYDDw8Pc5dDRERET6HqvpyLN08QERERyQSDHREREZFMMNgRERERyQSDHREREZFMMNgRERERyQSDHREREZFMWFywO3DgAF577TW4ublBoVAgJiam3P779u2DQqEosWi1WoN+y5YtQ7NmzaBWq+Hv749jx46ZXJtSqTR5DBEREVFNsbhgl5ubi44dO2LZsmUmjTt//jzS09OlpXHjxtK6TZs2ITQ0FLNmzcKJEyfQsWNHBAUFITMz06R9VOdPgBARERE9KYt7QPErr7yCV155xeRxjRs3Rr169Updt3DhQowZMwYjR44EAERFRWH79u1Ys2YNpk6davQ+CgoKTK6LiIiIqKbI5hSUj48PXF1d8dJLL+Hw4cNSe2FhIY4fP47AwECpzcrKCoGBgYiPjy9zewUFBdDpdAZLTf/uHREREZEpnvpg5+rqiqioKPz3v//Ff//7X7i7u+PFF1/EiRMnAABZWVkoKiqCi4uLwTgXF5cS1+E9KiIiAk5OTtLi7u5ercdBRERE9KSe+mDXqlUrvPvuu/Dz80O3bt2wZs0adOvWDYsWLXqi7U6bNg05OTnScvXq1SqqmIiIiKh6WNw1dlWhS5cuOHToEACgUaNGsLa2RkZGhkGfjIwMaDSaMrehUqmgUqmqtU4iIiKiqvTUn7ErTXJyMlxdXQE8fESJn58f4uLipPV6vR5xcXEICAgwV4lEREREVc7iztjdu3cPFy9elF6npKQgOTkZDRo0gIeHB6ZNm4br169j3bp1AIDIyEh4eXnB29sb+fn5WL16Nfbs2YOdO3dK2wgNDcWIESPQqVMndOnSBZGRkcjNzZXukiUiIiKSA4sLdomJiejZs6f0OjQ0FAAwYsQIREdHIz09HWlpadL6wsJC/Otf/8L169dhb2+PDh06YPfu3QbbGDx4MG7evInw8HBotVr4+PggNja2xA0VRERERE8zheAzPIyi0+kQFhaG6dOnw8PDw9zlEBER0VMkLS0Nnp6eyMnJgaOjY7XtR5bX2BERERHVRgx2RERERDLBYEdEREQkEwx2RERERDLBYGcChUJh7hKIiIiIysRgZwL+EgURERFZMgY7E+j1enOXQERERFQmBjsTFBYWmrsEIiIiojIx2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUxYXLA7cOAAXnvtNbi5uUGhUCAmJqbCMfv27cNzzz0HlUqFFi1aIDo6ukSfZcuWoVmzZlCr1fD398exY8dMrs3GxsbkMUREREQ1xeKCXW5uLjp27Ihly5YZ1T8lJQX9+vVDz549kZycjMmTJ2P06NH4/fffpT6bNm1CaGgoZs2ahRMnTqBjx44ICgpCZmamSbUx2BEREZEls7ik8sorr+CVV14xun9UVBS8vLzw1VdfAQDatGmDQ4cOYdGiRQgKCgIALFy4EGPGjMHIkSOlMdu3b8eaNWswdepUo/f14MEDE46EiIiIqGZZ3Bk7U8XHxyMwMNCgLSgoCPHx8QCAwsJCHD9+3KCPlZUVAgMDpT6lKSgogE6nM1gY7IiIiMiSPfXBTqvVwsXFxaDNxcUFOp0OeXl5yMrKQlFRUal9tFptmduNiIiAk5OTtLi7u1dL/URERERV5akPdtVl2rRpyMnJkZarV6+auyQiIiKiclncNXam0mg0yMjIMGjLyMiAo6Mj7OzsYG1tDWtr61L7aDSaMrerUqmgUqmqpWYiIiKi6vDUn7ELCAhAXFycQduuXbsQEBAAAFAqlfDz8zPoo9frERcXJ/UhIiIikgOLC3b37t1DcnIykpOTATx8nElycjLS0tIAPPyKNCQkROo/btw4XL58GWFhYTh37hyWL1+OH3/8ER9++KHUJzQ0FKtWrcJ//vMfnD17FuPHj0dubq50lywRERGRHFjcV7GJiYno2bOn9Do0NBQAMGLECERHRyM9PV0KeQDg5eWF7du348MPP8TXX3+Npk2bYvXq1dKjTgBg8ODBuHnzJsLDw6HVauHj44PY2NgSN1QQERERPc0UQghh7iKeBjqdDmFhYZg+fTo8PDzMXQ4RERE9RdLS0uDp6YmcnBw4OjpW234s7qtYIiIiIqocBjsiIiIimWCwIyIiIpIJBjsiIiIimWCwIyIiIpIJBjsTKJVKc5dAREREVCYGOxNYWXG6iIiIyHIxqZigoKDA3CUQERERlYnBzgR8ljMRERFZMgY7IiIiIplgsCMiIiKSCQY7IiIiIplgsCMiIiKSCQY7IiIiIplgsCMiIiKSCQY7IiIiIplgsCMiIiKSCQY7IiIiIplgsCMiIiKSCQY7IiIiIplgsCMiIiKSCQY7IiIiIpmwyGC3bNkyNGvWDGq1Gv7+/jh27FiZfaOjo6FQKAwWtVpt0EcIgfDwcLi6usLOzg6BgYG4cOGCyXUpFAqTxxARERHVFIsLdps2bUJoaChmzZqFEydOoGPHjggKCkJmZmaZYxwdHZGeni4tqampBuvnz5+PxYsXIyoqCgkJCahTpw6CgoKQn59vUm0qlapSx0RERERUEywu2C1cuBBjxozByJEj0bZtW0RFRcHe3h5r1qwpc4xCoYBGo5EWFxcXaZ0QApGRkZgxYwYGDBiADh06YN26dbhx4wZiYmJMqk2v11f2sIiIiIiqnUUFu8LCQhw/fhyBgYFSm5WVFQIDAxEfH1/muHv37sHT0xPu7u4YMGAATp8+La1LSUmBVqs12KaTkxP8/f3L3WZBQQF0Op3BUlhY+IRHSERERFR9LCrYZWVloaioyOCMGwC4uLhAq9WWOqZVq1ZYs2YNtm7diu+//x56vR7dunXDtWvXAEAaZ8o2ASAiIgJOTk7S4u7u/iSHRkRERFTtLCrYVUZAQABCQkLg4+ODHj16YMuWLXB2dsY333zzRNudNm0acnJypOXq1atVVDERERFR9bCoYNeoUSNYW1sjIyPDoD0jIwMajcaobdja2sLX1xcXL14EAGmcqdtUqVRwdHQ0WIiIiIgsmUUFO6VSCT8/P8TFxUlter0ecXFxCAgIMGobRUVFOHnyJFxdXQEAXl5e0Gg0BtvU6XRISEgweptERERETwMbcxfwuNDQUIwYMQKdOnVCly5dEBkZidzcXIwcORIAEBISgiZNmiAiIgIAMHfuXHTt2hUtWrRAdnY2FixYgNTUVIwePRrAwztmJ0+ejHnz5qFly5bw8vLCzJkz4ebmhuDgYHMdJhEREVGVs7hgN3jwYNy8eRPh4eHQarXw8fFBbGysdPNDWloarKz+PtF4584djBkzBlqtFvXr14efnx+OHDmCtm3bSn3CwsKQm5uLsWPHIjs7G927d0dsbGyJBxkTERERPc0UQghh7iKeBjqdDmFhYZg+fTo8PDzMXQ4RERE9RdLS0uDp6YmcnJxqvW7foq6xIyIiIqLKY7AjIiIikgkGOyIiIiKZYLAjIiIikgkGOyIiIiKZYLAzgY2NxT0dhoiIiEhiUlLR6/XYv38/Dh48iNTUVNy/fx/Ozs7w9fVFYGAg3N3dq6tOi8BgR0RERJbMqDN2eXl5mDdvHtzd3dG3b1/89ttvyM7OhrW1NS5evIhZs2bBy8sLffv2xdGjR6u7ZrN58OCBuUsgIiIiKpNRp6CeffZZBAQEYNWqVXjppZdga2tbok9qaio2bNiAIUOG4JNPPsGYMWOqvFhzY7AjIiIiS2ZUsNu5cyfatGlTbh9PT09MmzYNU6ZMQVpaWpUUR0RERETGM+qr2IpC3aNsbW3RvHnzShdERERERJVTqbsB8vPz8ccffyAzMxN6vd5gXf/+/aukMCIiIiIyjcnBLjY2FiEhIcjKyiqxTqFQoKioqEoKI6KK5RU+QMED/pkjelxdtS2srfhEL6p9TA5277//PgYNGoTw8HC4uLhUR01EZKQ1+0/h1NVb5i6DyOJMfKkj2rk3MncZRDXO5P+dycjIQGhoKEMdkZk9KNLjQnq2ucsgskhnb9w2dwlEZmFysHvzzTexb9++aiiFiEyRcjOHX8MSleEcgx3VUiZ/Fbt06VIMGjQIBw8eRPv27Us80+6DDz6osuKIqGz8i4uobDfu5CLnfgGc7FXmLoWoRpkc7H744Qfs3LkTarUa+/btg0KhkNYpFAoGO6IacvY6gx1Rec7duA3/Fq7mLoOoRpkc7D755BPMmTMHU6dOhRXvOCIyi7zCB7iSpTN3GUQW7SyDHdVCJiezwsJCDB48mKGOyIzOp9+BEOaugsiynbt+G4J/UKiWMTmdjRgxAps2baqOWojISLy+jqhiOXmF0GbnmrsMohpl8lexRUVFmD9/Pn7//Xd06NChxM0TCxcurLLiiKh0vL6OyDhnb9yGa30Hc5dBVGNMPmN38uRJ+Pr6wsrKCqdOnUJSUpLBUhWWLVuGZs2aQa1Ww9/fH8eOHSu3/+bNm9G6dWuo1Wq0b98eO3bsMFgvhEB4eDhcXV1hZ2eHwMBAXLhwoUpqJappt+/lI1N339xlED0V+Dw7qm1MPmO3d+/e6qhDsmnTJoSGhiIqKgr+/v6IjIxEUFAQzp8/j8aNG5fof+TIEQwdOhQRERF49dVXsWHDBgQHB+PEiRNo164dAGD+/PlYvHgx/vOf/8DLywszZ85EUFAQzpw5A7VabXRtSqWyyo6TqLL4NSyR8S6kZ6NIr+fPi1GtUWWf9NTUVLz33ntPvJ2FCxdizJgxGDlyJNq2bYuoqCjY29tjzZo1pfb/+uuv8fLLL+Ojjz5CmzZt8Omnn+K5557D0qVLATw8WxcZGYkZM2ZgwIAB6NChA9atW4cbN24gJibGpNp4wwhZAn4NS2S8ggdFuJyZY+4yiGqMyWfsevbsafDsumLp6elIT0+XAlVlFBYW4vjx45g2bZrUZmVlhcDAQMTHx5c6Jj4+HqGhoQZtQUFBUmhLSUmBVqtFYGCgtN7JyQn+/v6Ij4/HkCFDSt1uQUEBCgoKpNc6nc7gNZE56IXAuXQGOyJTnLtxGy019c1dBlGNMDnY+fj4GLwuKirC5cuXcfHiRURHRz9RMVlZWSgqKirxO7QuLi44d+5cqWO0Wm2p/bVarbS+uK2sPqWJiIjAnDlzDNreffddfBaTACsHXp9HRPS02JF8BTuSr5i7DKrl9Pdq5n/KTQ52ixYtKrV99erVWLp0Kd5+++0nLsoSTJs2zeBMoE6nw7x588xYEREREVH5quyisd69eyM5OfmJttGoUSNYW1sjIyPDoD0jIwMajabUMRqNptz+xf80ZZsAoFKp4OjoaLAQERERWbIqC3Z79uxBz549n2gbSqUSfn5+iIuLk9r0ej3i4uIQEBBQ6piAgACD/gCwa9cuqb+Xlxc0Go1BH51Oh4SEhDK3SURERPQ0Mvmr2DfeeKNEW0ZGBhISEtCzZ0+D9Vu2bDG5oNDQUIwYMQKdOnVCly5dEBkZidzcXIwcORIAEBISgiZNmiAiIgIAMGnSJPTo0QNfffUV+vXrh40bNyIxMRErV64EACgUCkyePBnz5s1Dy5YtpceduLm5ITg42OT6iIiIiCyVycHOycmp1LZnn322SgoaPHgwbt68ifDwcGi1Wvj4+CA2Nla6+SEtLc3gsSPdunXDhg0bMGPGDEyfPh0tW7ZETEyM9Aw7AAgLC0Nubi7Gjh2L7OxsdO/eHbGxsSY9w46IiIjI0ikEfyHZKDqdDmFhYRBte8PKoYG5yyEiIqKniP7ebayc9BZycnKq9bp9o66xY/YjIiIisnxGBTtvb29s3LgRhYWF5fa7cOECxo8fj88//7xKiiMiIiIi4xl1jd2SJUvw8ccfY8KECXjppZfQqVMnuLm5Qa1W486dOzhz5gwOHTqE06dP47333sP48eOru24iIiIieoxRwa53795ITEzEoUOHsGnTJqxfvx6pqanIy8tDo0aN4Ovri5CQELz99tuoX58/20JERERkDibdFdu9e3d07969umohIiIioidQZQ8org0UCoW5SyAiIiIqk8nPsavNVCoVQoP94eHhYe5SiIiI6CmSlpaGlZOqfz88Y2cCvV5v7hKIiIiIysRgZ4KKHvdCREREZE4MdkREREQyYXKw69WrF+bMmVOi/c6dO+jVq1eVFEVEREREpjP55ol9+/bh5MmTSEpKwvr161GnTh0AD7+m3L9/f5UXSERERETGqdRXsbt374ZWq0XXrl1x5cqVKi6JiIiIiCqjUsHO1dUV+/fvR/v27dG5c2fs27evissiIiIiIlOZHOyKH9KrUqmwYcMGTJo0CS+//DKWL19e5cURERERkfFMvsZOCGHwesaMGWjTpg1GjBhRZUURERERkelMDnYpKSlwdnY2aBs4cCBat26NxMTEKiuMiIiIiExjcrDz9PQstd3b2xve3t5PXBARERERVQ4fUExEREQkEwx2RERERDLBYEdEREQkEwx2RERERDLBYEdEREQkExYV7IQQCA8Ph6urK+zs7BAYGIgLFy6UO2b27NlQKBQGS+vWrQ365OfnY+LEiWjYsCEcHBwwcOBAZGRkmFyfjY3JNxETERER1RiLCnbz58/H4sWLERUVhYSEBNSpUwdBQUHIz88vd5y3tzfS09Ol5dChQwbrP/zwQ/zyyy/YvHkz9u/fjxs3buCNN94wuT4GOyIiIrJkFpNUhBCIjIzEjBkzMGDAAADAunXr4OLigpiYGAwZMqTMsTY2NtBoNKWuy8nJwbfffosNGzagV69eAIC1a9eiTZs2OHr0KLp27VrquIKCAhQUFEivdTodHjx4UNnDIyIiIqp2FnPGLiUlBVqtFoGBgVKbk5MT/P39ER8fX+7YCxcuwM3NDc888wzefvttpKWlSeuOHz+Ov/76y2C7rVu3hoeHR7nbjYiIgJOTk7S4u7sz2BEREZFFs5hgp9VqAQAuLi4G7S4uLtK60vj7+yM6OhqxsbFYsWIFUlJS8MILL+Du3bvSdpVKJerVq2fSdqdNm4acnBxpuXr1aiWPjIiIiKhmmC3YrV+/Hg4ODtLy119/VWo7r7zyCgYNGoQOHTogKCgIO3bsQHZ2Nn788ccnqk+lUsHR0dFgISIiIrJkZrvGrn///vD395deF1/PlpGRAVdXV6k9IyMDPj4+Rm+3Xr16ePbZZ3Hx4kUAgEajQWFhIbKzsw3O2mVkZJR5XR4RERHR08hsZ+zq1q2LFi1aSEvbtm2h0WgQFxcn9dHpdEhISEBAQIDR27137x4uXbokhUM/Pz/Y2toabPf8+fNIS0szabtEREREls5irrFTKBSYPHky5s2bh23btuHkyZMICQmBm5sbgoODpX69e/fG0qVLpddTpkzB/v37ceXKFRw5cgSvv/46rK2tMXToUAAPb8AYNWoUQkNDsXfvXhw/fhwjR45EQEBAmXfEEhERET2NLOZxJwAQFhaG3NxcjB07FtnZ2ejevTtiY2OhVqulPpcuXUJWVpb0+tq1axg6dChu3boFZ2dndO/eHUePHoWzs7PUZ9GiRbCyssLAgQNRUFCAoKAgLF++vEaPjYiIiKi6KYQQwtxFPA10Oh3CwsIwffp0eHh4mLscIiIieoqkpaXB09MTOTk51XpDpsV8FUtERERET4bBjoiIiEgmGOyIiIiIZILBjoiIiEgmGOyIiIiIZILBzgRKpdLcJRARERGVicHOBFZWnC4iIiKyXEwqJij+PVsiIiIiS8RgZwI+y5mIiIgsGYMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUww2BERERHJBIMdERERkUxYVLDbsmUL+vTpg4YNG0KhUCA5OdmocZs3b0br1q2hVqvRvn177Nixw2C9EALh4eFwdXWFnZ0dAgMDceHCBZPrUygUJo8hIiIiqikWFexyc3PRvXt3fPHFF0aPOXLkCIYOHYpRo0YhKSkJwcHBCA4OxqlTp6Q+8+fPx+LFixEVFYWEhATUqVMHQUFByM/PN6k+lUplUn8iIiKimqQQQghzF/G4K1euwMvLC0lJSfDx8Sm37+DBg5Gbm4tff/1VauvatSt8fHwQFRUFIQTc3Nzwr3/9C1OmTAEA5OTkwMXFBdHR0RgyZEip2y0oKEBBQYH0WqfTYf78+ZgyZQo8PDye/CCJiIio1khLS4OnpydycnLg6OhYbfuxqDN2lREfH4/AwECDtqCgIMTHxwMAUlJSoNVqDfo4OTnB399f6lOaiIgIODk5SYu7uzsKCwur5yCIiIiIqsBTH+y0Wi1cXFwM2lxcXKDVaqX1xW1l9SnNtGnTkJOTIy1Xr16t4sqJiIiIqpbZgt369evh4OAgLQcPHjRXKaVSqVRwdHQ0WIiIiIgsmY25dty/f3/4+/tLr5s0aVKp7Wg0GmRkZBi0ZWRkQKPRSOuL21xdXQ36VHT9HhEREdHTxGxn7OrWrYsWLVpIi52dXaW2ExAQgLi4OIO2Xbt2ISAgAADg5eUFjUZj0Een0yEhIUHqQ0RERCQHZjtjV5rbt28jLS0NN27cAACcP38ewMOzbsVn3kJCQtCkSRNEREQAACZNmoQePXrgq6++Qr9+/bBx40YkJiZi5cqVAB4+e27y5MmYN28eWrZsCS8vL8ycORNubm4IDg6u+YMkIiIiqiYWdfPEtm3b4Ovri379+gEAhgwZAl9fX0RFRUl90tLSkJ6eLr3u1q0bNmzYgJUrV6Jjx4746aefEBMTg3bt2kl9wsLC8P7772Ps2LHo3Lkz7t27h9jYWKjV6po7OCIiIqJqZpHPsbNEOp0OYWFhmD59Op9jR0RERCbhc+yIiIiIyCQMdkREREQywWBHREREJBMMdkREREQywWBHREREJBMMdiawsbGox/4RERERGWCwMwGDHREREVkyBjsTPHjwwNwlEBEREZWJwc4EDHZERERkyRjsiIiIiGSCwY6IiIhIJhjsiIiIiGSCwY6IiIhIJhjsiIiIiGSCwY6IiIhIJhjsiIiIiGSCwY6IiIhIJhjsiIiIiGSCwY6IiIhIJhjsiIiIiGSCwY6IiIhIJhjsiIiIiGTCooLdli1b0KdPHzRs2BAKhQLJyckVjomOjoZCoTBY1Gq1QR8hBMLDw+Hq6go7OzsEBgbiwoUL1XQUREREROZhUcEuNzcX3bt3xxdffGHSOEdHR6Snp0tLamqqwfr58+dj8eLFiIqKQkJCAurUqYOgoCDk5+ebtB+lUmlSfyIiIqKaZGPuAh41fPhwAMCVK1dMGqdQKKDRaEpdJ4RAZGQkZsyYgQEDBgAA1q1bBxcXF8TExGDIkCGljisoKEBBQYH0WqfTwcrKonIwERERkQFZJJV79+7B09MT7u7uGDBgAE6fPi2tS0lJgVarRWBgoNTm5OQEf39/xMfHl7nNiIgIODk5SYu7u7tB0CMiIiKyNE99sGvVqhXWrFmDrVu34vvvv4der0e3bt1w7do1AIBWqwUAuLi4GIxzcXGR1pVm2rRpyMnJkZarV69CCFF9B0JERET0hMwW7NavXw8HBwdpOXjwYKW2ExAQgJCQEPj4+KBHjx7YsmULnJ2d8c033zxRfSqVCo6OjgYLERERkSUz2zV2/fv3h7+/v/S6SZMmVbJdW1tb+Pr64uLFiwAgXXuXkZEBV1dXqV9GRgZ8fHyqZJ9ERERElsBsZ+zq1q2LFi1aSIudnV2VbLeoqAgnT56UQpyXlxc0Gg3i4uKkPjqdDgkJCQgICKiSfRIRERFZAou6K/b27dtIS0vDjRs3AADnz58H8PCsW/GZt5CQEDRp0gQREREAgLlz56Jr165o0aIFsrOzsWDBAqSmpmL06NEAHt4xO3nyZMybNw8tW7aEl5cXZs6cCTc3NwQHB9f8QRIRERFVE4sKdtu2bcPIkSOl18WPIpk1axZmz54NAEhLSzN47MidO3cwZswYaLVa1K9fH35+fjhy5Ajatm0r9QkLC0Nubi7Gjh2L7OxsdO/eHbGxsSUeZExERET0NFMI3uppFJ1Oh7CwMEyfPh0eHh7mLoeIiIieImlpafD09EROTk613pD51D/uhIiIiIgeYrAjIiIikgkGOyIiIiKZYLAjIiIikgkGOyIiIiKZsKjHnVgyIQRsbGzK/X1ZIiIiotIU54fqfhgJH3dipMuXL6N58+bmLoOIiIieYpcuXcIzzzxTbdvnGTsjNWjQAMDD59A4OTmZuRrz0el0cHd3x9WrV6v1OTyWjvPwN87FQ5yHhzgPD3EeHuI8/C0nJwceHh5SnqguDHZGKv61Cycnp1r/4QQAR0dHzgM4D4/iXDzEeXiI8/AQ5+EhzsPfHv31rGrZfrVunYiIiIhqDIMdERERkUww2BlJpVJh1qxZUKlU5i7FrDgPD3Ee/sa5eIjz8BDn4SHOw0Och7/V1FzwrlgiIiIimeAZOyIiIiKZYLAjIiIikgkGOyIiIiKZYLAjIiIikgkGu//fuHHjoFAoEBkZWWHfZcuWoVmzZlCr1fD398exY8cM1ufn52PixIlo2LAhHBwcMHDgQGRkZFRT5U9u9uzZaN26NerUqYP69esjMDAQCQkJFY6T0zz89ddf+Pjjj9G+fXvUqVMHbm5uCAkJwY0bNyocK6d5AIAtW7agT58+aNiwIRQKBZKTk40at3nzZrRu3RpqtRrt27fHjh07DNYLIRAeHg5XV1fY2dkhMDAQFy5cqIYjqBoVva+Pk9vxA8CBAwfw2muvwc3NDQqFAjExMRWO2bdvH5577jmoVCq0aNEC0dHRJfqYOrfmFhERgc6dO6Nu3bpo3LgxgoODcf78+QrHye0zsWLFCnTo0EF62HBAQAB+++23csfIbQ5K8/nnn0OhUGDy5Mnl9quxuRAktmzZIjp27Cjc3NzEokWLyu27ceNGoVQqxZo1a8Tp06fFmDFjRL169URGRobUZ9y4ccLd3V3ExcWJxMRE0bVrV9GtW7dqPorKW79+vdi1a5e4dOmSOHXqlBg1apRwdHQUmZmZZY6R2zxkZ2eLwMBAsWnTJnHu3DkRHx8vunTpIvz8/ModJ7d5EEKIdevWiTlz5ohVq1YJACIpKanCMYcPHxbW1tZi/vz54syZM2LGjBnC1tZWnDx5Uurz+eefCycnJxETEyP+7//+T/Tv3194eXmJvLy8ajyayjHmfX2U3I6/2I4dO8Qnn3witmzZIgCIn3/+udz+ly9fFvb29iI0NFScOXNGLFmyRFhbW4vY2Fipj6lzawmCgoLE2rVrxalTp0RycrLo27ev8PDwEPfu3StzjBw/E9u2bRPbt28Xf/75pzh//ryYPn26sLW1FadOnSq1vxzn4HHHjh0TzZo1Ex06dBCTJk0qs19NzkWtD3bXrl0TTZo0EadOnRKenp4VBrsuXbqIiRMnSq+LioqEm5ubiIiIEEI8DAi2trZi8+bNUp+zZ88KACI+Pr5ajqGq5eTkCABi9+7dZfapDfNw7NgxAUCkpqaW2UfO85CSkmJ0sHvrrbdEv379DNr8/f3Fu+++K4QQQq/XC41GIxYsWCCtz87OFiqVSvzwww9VWndVqOh9fZzcjr80xgS7sLAw4e3tbdA2ePBgERQUJL02dW4tUWZmpgAg9u/fX2af2vCZEEKI+vXri9WrV5e6Tu5zcPfuXdGyZUuxa9cu0aNHj3KDXU3ORa3+Klav12P48OH46KOP4O3tXWH/wsJCHD9+HIGBgVKblZUVAgMDER8fDwA4fvw4/vrrL4M+rVu3hoeHh9THkhUWFmLlypVwcnJCx44dy+wj93kAHv5gs0KhQL169UpdX1vmwRjx8fEGxwgAQUFB0jGmpKRAq9Ua9HFycoK/v7/FzYMx7+vj5HT8T6KieajM3FqinJwcACj3x9zl/pkoKirCxo0bkZubi4CAgFL7yH0OJk6ciH79+pU4xtLU5FzYmNRbZr744gvY2Njggw8+MKp/VlYWioqK4OLiYtDu4uKCc+fOAQC0Wi2USmWJMODi4gKtVlsldVeHX3/9FUOGDMH9+/fh6uqKXbt2oVGjRqX2lfM8FMvPz8fHH3+MoUOHlvnD1bVhHoyl1WpLnYfiYyz+Z3l9LIUx7+vj5HT8T6KsedDpdMjLy8OdO3dMnltLo9frMXnyZDz//PNo165dmf3k+pk4efIkAgICkJ+fDwcHB/z8889o27ZtqX3lOgcAsHHjRpw4cQL/+9//jOpfk3NRa87YrV+/Hg4ODtKyf/9+fP3114iOjoZCoTB3eTXm8Xk4ePAgAKBnz55ITk7GkSNH8PLLL+Ott95CZmammautPmXNA/DwRoq33noLQgisWLHCjFVWv/LmgYhKmjhxIk6dOoWNGzeauxSzaNWqFZKTk5GQkIDx48djxIgROHPmjLnLqlFXr17FpEmTsH79eqjVanOXU0KtCXb9+/dHcnKytBw5cgSZmZnw8PCAjY0NbGxskJqain/9619o1qxZqdto1KgRrK2tS9zRmJGRAY1GAwDQaDQoLCxEdnZ2mX3M6fF56NSpEwCgTp06aNGiBbp27Ypvv/0WNjY2+Pbbb0vdhpznoTjUpaamYteuXWWerQPkPQ+m0mg0Fc5DcVtZfSyFMe/r4+R0/E+irHlwdHSEnZ1dpebWkrz33nv49ddfsXfvXjRt2rTcvnL9TCiVSrRo0QJ+fn6IiIhAx44d8fXXX5faV65zcPz4cWRmZuK5556T8sP+/fuxePFi2NjYoKioqMSYmpyLWhPs6tatixYtWkjL2LFj8ccffxj8pebm5oaPPvoIv//+e6nbUCqV8PPzQ1xcnNSm1+sRFxcnXWPg5+cHW1tbgz7nz59HWlpamdch1KTH58HOzq7Ufnq9HgUFBaWuk+s8FIe6CxcuYPfu3WjYsGG525DrPFRGQECAwTECwK5du6Rj9PLygkajMeij0+mQkJBgEfPwKGPe18fJ6fifREXzUJm5tQRCCLz33nv4+eefsWfPHnh5eVU4prZ8Jsr7u0Kuc9C7d2+cPHmyxP8Uv/3220hOToa1tXWJMTU6FybdaiFzpd0V26tXL7FkyRLp9caNG4VKpRLR0dHizJkzYuzYsaJevXpCq9VKfcaNGyc8PDzEnj17RGJioggICBABAQE1dRgmuXfvnpg2bZqIj48XV65cEYmJiWLkyJFCpVIZ3MIu93koLCwU/fv3F02bNhXJyckiPT1dWgoKCqR+cp8HIYS4deuWSEpKEtu3bxcAxMaNG0VSUpJIT0+X+gwfPlxMnTpVen348GFhY2MjvvzyS3H27Fkxa9asUm/lr1evnti6dav4448/xIABAyz2sQYVva9yP/5id+/eFUlJSSIpKUkAEAsXLhRJSUnSneJTp04Vw4cPl/oXP+7ko48+EmfPnhXLli0r9XE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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mode_spec = td.ModeSpec(num_modes=5) # Request first five guided modes\n", + "\n", + "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", + "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", + "\n", + "# Configure the optical mode solver at 1.55 μm\n", + "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", + "\n", + "# Quick visual check of geometry before submitting\n", + "mode_solver_opt.plot()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a454c0e0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
15:48:21 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
+       "             'mo-2f61d41e-4b95-40f6-9960-437f4e4f5141' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:21 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-2f61d41e-4b95-40f6-9960-437f4e4f5141'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2f61d41e-4b95-\n",
+       "             40f6-9960-437f4e4f5141'.                                           \n",
+       "
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             Task folder: 'TFLN-VPI'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=595758;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9bd79cdc62d3430a87665710a76ef064", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
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+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:48:24 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
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15:48:26 -03 status = success                                                   \n",
+       "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:48:38 -03 loading simulation from simulation_data.hdf5                       \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:38 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mode_data_opt = web.run(\n", + " mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\"\n", + ") # Submit optical mode solve" + ] + }, + { + "cell_type": "markdown", + "id": "0058eb29", + "metadata": {}, + "source": [ + "We can now visualize and inspect the optical modes." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "11417a3d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode area
fmode_index
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" + ], + "text/plain": [ + " wavelength n eff k eff TE (Ey) fraction \\\n", + "f mode_index \n", + "1.934145e+14 0 1.55 1.851449 0.0 0.999711 \n", + " 1 1.55 1.813747 0.0 0.997992 \n", + " 2 1.55 1.762851 0.0 0.004845 \n", + " 3 1.55 1.753301 0.0 0.978658 \n", + " 4 1.55 1.722364 0.0 0.030296 \n", + "\n", + " wg TE fraction wg TM fraction mode area \n", + "f mode_index \n", + "1.934145e+14 0 0.988385 0.869531 1.395676 \n", + " 1 0.955486 0.874227 1.537450 \n", + " 2 0.775261 0.987734 2.170106 \n", + " 3 0.909164 0.881780 1.840836 \n", + " 4 0.785301 0.951572 2.260011 " + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mode_data_opt.to_dataframe() # Tabulate effective index and loss" + ] + }, + { + "cell_type": "markdown", + "id": "821fae2b", + "metadata": {}, + "source": [ + "## RF CPW Transmission Line \n", + "\n", + "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "fd57cb3d", + "metadata": {}, + "outputs": [], + "source": [ + "rf_freqs = np.linspace(1e9, 65e9, 20) # Broadband sweep for the CPW\n", + "\n", + "# RF materials\n", + "\n", + "si_rf = td.Medium(permittivity=11.7) # High-resistivity silicon substrate\n", + "sio2_rf = td.Medium(permittivity=3.9) # Oxide buffer beneath the CPW electrodes\n", + "air_rf = td.Medium() # Air top cladding\n", + "# RF permittivity tensor for TFLN stack\n", + "tfln_rf = td.AnisotropicMedium(\n", + " xx=td.Medium(permittivity=44), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=44)\n", + ")\n", + "metal = td.LossyMetalMedium(\n", + " frequency_range=(1e8, 1e11),\n", + " conductivity=41,\n", + " fit_param=td.SurfaceImpedanceFitterParam(\n", + " max_num_poles=16,\n", + " ),\n", + ")\n", + "\n", + "# Layer stack parameters (μm)\n", + "tfln_thickness = 0.2\n", + "sio2_thickness = 7\n", + "metal_thickness = 0.9\n", + "tfln_height = 4.7 + tfln_thickness / 2 # Center of the TFLN film above the silicon\n", + "\n", + "# CPW geometry (μm)\n", + "cpw_thickness = 0.9\n", + "cpw_center = sio2_thickness / 2 - cpw_thickness / 2\n", + "cpw_width = 10\n", + "cpw_gap = 4\n", + "\n", + "# Ground electrode on the negative y side\n", + "cpw_left = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, -eff_inf, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", + "\n", + "# Ground electrode on the positive y side\n", + "cpw_right = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, eff_inf, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", + "\n", + "# Signal electrode between grounds\n", + "cpw_center = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, -cpw_width / 2, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, cpw_width / 2, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", + "\n", + "\n", + "# Oxide buffer volume under the CPW\n", + "sio2_slab = td.Structure(\n", + " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", + ")\n", + "# Thicker TFLN slab for RF simulation\n", + "tfln_slab = td.Structure(\n", + " geometry=td.Box(\n", + " center=(0, 0, -sio2_thickness / 2 + tfln_height), size=(eff_inf, eff_inf, tfln_thickness)\n", + " ),\n", + " medium=tfln_rf,\n", + ")\n", + "\n", + "# Backside silicon substrate region\n", + "si_substrate = td.Structure(\n", + " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -3.5)),\n", + " medium=si_rf,\n", + ")\n", + "\n", + "# Upper air region above electrodes\n", + "air_gap = td.Structure(\n", + " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, 3.5), rmax=(eff_inf, eff_inf, eff_inf)),\n", + " medium=air_rf,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "e9ed9e15", + "metadata": {}, + "source": [ + "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "101d737f", + "metadata": {}, + "outputs": [], + "source": [ + "# Define RF frequency range from 1 GHz to 65 GHz\n", + "rf_freqs = np.linspace(1e9, 65e9, 20)\n", + "\n", + "\n", + "# Define Layer refinement spec\n", + "lr_spec = td.LayerRefinementSpec.from_structures(\n", + " structures=[cpw_center, cpw_left, cpw_right],\n", + " min_steps_along_axis=5,\n", + " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", + " refinement_inside_sim_only=False,\n", + ")\n", + "\n", + "\n", + "grid_spec = td.GridSpec.auto(\n", + " min_steps_per_wvl=100,\n", + " wavelength=td.C_0 / max(rf_freqs),\n", + " layer_refinement_specs=[lr_spec],\n", + ")\n", + "\n", + "sim_rf_size = (25, 138, 150)\n", + "\n", + "sim_rf = td.Simulation(\n", + " size=sim_rf_size,\n", + " structures=[sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", + " grid_spec=grid_spec,\n", + " run_time=1e-12,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "3e8dcb6b", + "metadata": {}, + "source": [ + "Now, we can inspect the grid." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "17b2eab6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = sim_rf.plot(x=0) # Visualize CPW layout at x=0\n", + "sim_rf.plot_grid(x=0, ax=ax) # Overlay mesh refinement\n", + "ax.set_xlim(-10, 10)\n", + "ax.set_ylim(-10, 10)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b03b10c2", + "metadata": {}, + "source": [ + "Now, we define a [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object containing a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path defined around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground to calculate impedance." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1318f55c", + "metadata": {}, + "outputs": [], + "source": [ + "# Integration loop encloses signal conductor\n", + "I_int = mw.CurrentIntegralAxisAligned(\n", + " center=cpw_center.geometry.center,\n", + " size=(\n", + " 0,\n", + " cpw_width + cpw_gap,\n", + " 5 * cpw_thickness,\n", + " ),\n", + " sign=\"+\",\n", + ")\n", + "\n", + "# Line integral samples voltage across signal-ground gap\n", + "V_int = mw.VoltageIntegralAxisAligned(\n", + " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", + " size=(0, cpw_gap, 0),\n", + " sign=\"-\",\n", + ")\n", + "\n", + "# WavePort bundles the integrals into a port definition\n", + "WP1 = sm.WavePort(\n", + " center=cpw_center.geometry.center,\n", + " size=(0, sim_rf.size[1], sim_rf.size[2]),\n", + " mode_spec=td.ModeSpec(target_neff=2.2),\n", + " direction=\"+\",\n", + " name=\"WP1\",\n", + " current_integral=I_int,\n", + " voltage_integral=V_int,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "04dad6c3", + "metadata": {}, + "source": [ + "Finally, we can use the [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object to automatically configure the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) based on the RF simulation model." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "4d8cf718", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Obtain mode solver from wave port\n", + "mode_solver_rf = WP1.to_mode_solver(simulation=sim_rf, freqs=rf_freqs)\n", + "\n", + "# Plot V and I integration paths\n", + "fig, ax = plt.subplots(figsize=(10, 3))\n", + "mode_solver_rf.plot(ax=ax) # Show CPW geometry defined by the port plane\n", + "I_int.plot(x=0, ax=ax)\n", + "V_int.plot(x=0, ax=ax)\n", + "ax.set_xlim(-20, 20)\n", + "ax.set_ylim(-10, 10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "7fb8daeb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
15:48:39 -03 Created task 'CPW mode solver' with resource_id                    \n",
+       "             'mo-86904f7a-93d4-4179-aea2-7b505fd2b829' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:39 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'CPW mode solver'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-86904f7a-93d4-4179-aea2-7b505fd2b829'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-\n",
+       "             4179-aea2-7b505fd2b829'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=105546;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=525751;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=105546;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=706786;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=105546;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32m-86904f7a-93d4-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=105546;https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-4179-aea2-7b505fd2b829\u001b\\\u001b[32m4179-aea2-7b505fd2b829'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=859771;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "061e10d2e43c4e93bc4ac62547071355", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:48:42 -03 Estimated FlexCredit cost: 0.006. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:42 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.006\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
15:48:44 -03 status = success                                                   \n",
+       "
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\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:48:58 -03 loading simulation from data/WP1_mode_data.hdf5                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:58 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/WP1_mode_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mode_data_rf = web.run(mode_solver_rf, task_name=\"CPW mode solver\", path=\"data/WP1_mode_data.hdf5\")" + ] + }, + { + "cell_type": "markdown", + "id": "5a07d673", + "metadata": {}, + "source": [ + "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "299e42fb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Characteristic impedance from port integrals\n", + "Z0_mode = np.conjugate(\n", + " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", + " mode_data_rf\n", + " )\n", + ").squeeze()\n", + "\n", + "\n", + "# Inspect RF Ey distribution\n", + "fig, ax = plt.subplots(1, 2, figsize=(9, 3), tight_layout=True)\n", + "\n", + "mode_solver_rf.plot_field(\"Ey\", \"real\", f=rf_freqs[0].item(), robust=False, ax=ax[0])\n", + "ax[0].set_xlim(-20, 20)\n", + "ax[0].set_ylim(-20, 20)\n", + "\n", + "ax[1].plot(Z0_mode.f * 1e-9, Z0_mode.real) # Plot real part of Z0 versus frequency\n", + "_ = ax[1].set(xlabel=\"Frequencies (GHz)\", ylabel=\"Re{Z₀} (Ω)\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "52e82ec2", + "metadata": {}, + "source": [ + "## Computation of Vπ·L \n", + "\n", + "Next, we run a similar mode simulation, this time adding the TFLN waveguides beneath the CPW gaps. We then monitor the RF fields at the waveguides and calculate the index change due to the Pockels effect." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "0b823b69", + "metadata": {}, + "outputs": [], + "source": [ + "# Align RF and optical coordinates\n", + "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", + "\n", + "# Waveguides beneath right CPW gap to sample RF field\n", + "waveguide_r = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"core_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]\n", + "\n", + "# Waveguides beneath left CPW gap\n", + "waveguide_l = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"core_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]\n", + "\n", + "# Mesh overrides tighten resolution in core and gaps\n", + "override_region = td.MeshOverrideStructure(\n", + " geometry=td.Box(\n", + " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", + " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", + " ),\n", + " dl=(None, None, 0.01),\n", + ")\n", + "\n", + "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", + "\n", + "override_region_gap_l = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "override_region_gap_r = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "\n", + "# Updated RF simulation including optical rails\n", + "grid_spec_vpi = grid_spec.updated_copy(\n", + " override_structures=[override_region, override_region_gap_l, override_region_gap_r]\n", + ")\n", + "sim_vpi = sim_rf.updated_copy(\n", + " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", + " + waveguide_r\n", + " + waveguide_l,\n", + " grid_spec=grid_spec_vpi,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "de0b6b55", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mzm_solver = ModeSolver(\n", + " simulation=sim_vpi, # RF mode solver with optical rails present\n", + " plane=mode_solver_rf.plane,\n", + " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", + " freqs=rf_freqs,\n", + ")\n", + "\n", + "\n", + "ax = mzm_solver.plot() # Check geometry with overrides applied\n", + "mzm_solver.plot_grid(ax=ax) # Ensure mesh resolution near rails\n", + "ax.set_ylim(1, 5)\n", + "ax.set_xlim(4, 10)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "38935f5b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
15:48:59 -03 Created task 'MZM mode solver' with resource_id                    \n",
+       "             'mo-52903d65-000d-403f-8f79-c68722127fc6' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:48:59 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-52903d65-000d-403f-8f79-c68722127fc6'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-\n",
+       "             403f-8f79-c68722127fc6'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=486915;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=89770;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=486915;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=977201;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=486915;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32m-52903d65-000d-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=486915;https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-403f-8f79-c68722127fc6\u001b\\\u001b[32m403f-8f79-c68722127fc6'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=471469;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "91aced32453146ca813a2d9a2931f108", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:49:02 -03 Estimated FlexCredit cost: 0.015. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:49:02 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.015\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
15:49:04 -03 status = success                                                   \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:49:04 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "fc67c005e5af4081aa7b558a14e88a2c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:49:27 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m15:49:27 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mzm_mode_data = web.run(\n", + " mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\"\n", + ") # RF fields with waveguides included" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7d132394", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_ = mzm_solver.plot_field(\n", + " \"Ey\", \"real\", f=rf_freqs[0], mode_index=0, robust=True\n", + ") # Ey component couples to r33\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "9bd87dcc", + "metadata": {}, + "source": [ + "Visualizing the results." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "a7147eea", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_eff = mzm_solver.data.n_eff.isel(mode_index=0).values # RF effective index with rails\n", + "\n", + "# Calculate Z0\n", + "Z0_mzm = np.conjugate( # Characteristic impedance versus frequency\n", + " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", + " mzm_mode_data\n", + " )\n", + ").squeeze()\n", + "\n", + "fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", + "\n", + "ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\") # Dispersion of RF effective index\n", + "ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n", + "\n", + "ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\") # Impedance trend across band\n", + "_ = ax[1].set(ylabel=\"Re{Z₀} (Ω)\", xlabel=\"Frequency (GHz)\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f56ba019", + "metadata": {}, + "source": [ + "To calculate the Pockels effect, we apply an electric field along the LiNbO₃ cut direction to perturb the optical medium. First, we normalize the field by the applied voltage and shift its coordinates so they align with the optical simulation, where the dielectric waveguide is centered at y = 0." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "82671b9d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "v0 = WP1.voltage_integral.compute_voltage(\n", + " mzm_solver.data\n", + ") # Extract net port voltage at each frequency\n", + "ey_norm = (\n", + " (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", + ") # Normalize Ey to 1 V drive\n", + "\n", + "offset = cpw_width / 2 + cpw_gap / 2\n", + "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset) # Shift origin so optical core sits at y=0\n", + "\n", + "ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True) # Field sampled through waveguide height\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "eb1d41fe", + "metadata": {}, + "source": [ + "The normalized electric field is applied to the LiNbO₃ crystal along its z-axis, following the Pockels effect model:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "c2e97084", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", + "n_e = eps_e**0.5\n", + "r33 = 30.9e-6 # μm/V electro-optic coefficient\n", + "\n", + "# Index variation derived from the RF field\n", + "Δn = -0.5 * n_e**3 * r33 * ey_norm # Voltage-induced index perturbation\n", + "\n", + "# We plot the whole domain, but the perturbation will only take effect over the LiNbO₃, not everywhere\n", + "_ = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ff40809b", + "metadata": {}, + "source": [ + "We can now define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage, and return a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "6a02f7c3", + "metadata": {}, + "outputs": [], + "source": [ + "# Use a single data point for the homogeneous directions\n", + "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", + "\n", + "\n", + "# Build a voltage-dependent optical simulation\n", + "def perturbed_solver(voltage):\n", + " perturbed_ln = td.CustomAnisotropicMedium(\n", + " xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", + " yy=td.CustomMedium(permittivity=(n_e + voltage * Δn) ** 2, subpixel=True),\n", + " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True), # Assume x and z indices fixed\n", + " )\n", + " perturbed_sim = sim_opt.updated_copy(\n", + " structures=[core.updated_copy(medium=perturbed_ln), ridge.updated_copy(medium=perturbed_ln)]\n", + " )\n", + " ms = mode_solver_opt.updated_copy(simulation=perturbed_sim) # Reuse optical solver settings\n", + " return ms" + ] + }, + { + "cell_type": "markdown", + "id": "344a7394", + "metadata": {}, + "source": [ + "Next, we create a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and run all mode simulations in parallel." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "29e27d6c", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "2f1df252f5e94d88a730c38d0fdbd088", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
15:49:36 -03 Started working on Batch containing 5 tasks.                       \n",
+       "
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15:49:43 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n",
+       "
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             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n",
+       "             Batch has completed.                                               \n",
+       "
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15:49:48 -03 Batch complete.                                                    \n",
+       "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "fff003e876b24adfb3009c49bfdd5c37",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "voltages = np.arange(5)  # 0–4 V sweep\n",
+    "\n",
+    "sims = {str(v): perturbed_solver(v) for v in voltages}  # Label each job by voltage\n",
+    "\n",
+    "batch = web.Batch(\n",
+    "    simulations=sims,  # Submit perturbed optical solves\n",
+    "    folder_name=\"perturbed_mode\",\n",
+    ")\n",
+    "\n",
+    "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")  # Download results when ready"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3e2f7f22",
+   "metadata": {},
+   "source": [
+    "Finally, we can observe the variation of the waveguide mode effective index as a function of the applied voltage and calculate the Vπ·L figure of merit."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "7b8459f0",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_eff = [\n", + " sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()\n", + "] # Optical neff versus voltage\n", + "\n", + "plt.plot(voltages, n_eff, \".-\") # Observe linear index tuning\n", + "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", + "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\") # Annotate axes\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "8093b264", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Vπ·L (single-drive) = 7.62 V·cm\n", + "Vπ·L (push-pull) = 3.81 V·cm\n" + ] + } + ], + "source": [ + "# Use the slope between 0 and 4 V to approximate dn_eff/dV\n", + "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", + "\n", + "vpil = 0.5 * opt_wavelength / dneff_dV # in V·μm\n", + "\n", + "print(f\"Vπ·L (single-drive) = {vpil * 1e-4:.2f} V·cm\") # Convert to standard units\n", + "print(f\"Vπ·L (push-pull) = {vpil * 1e-4 / 2:.2f} V·cm\") # Push-pull halves required voltage" + ] + } + ], + "metadata": { + "applications": [ + "Active photonic integrated circuit components" + ], + "description": "This notebook demonstrates how to simulate a thin-film lithium niobate electro-optic modulator using Tidy3D.", + "feature_image": "./img/TFLN_EOM_Tidy3D.png", + "features": [ + "Wave port" + ], + "kernelspec": { + "display_name": "td2100rc2", + "language": "python", + "name": "python3" + }, + "keywords": "electro-optic modulator, lithium niobate, Pockels effect, Tidy3D, FDTD", + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.13" + }, + "title": "How to model TFLN EOM using Tidy3D | Flexcompute" + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/case_studies/pic_active.rst b/docs/case_studies/pic_active.rst index 15844c30..b64f0460 100644 --- a/docs/case_studies/pic_active.rst +++ b/docs/case_studies/pic_active.rst @@ -15,3 +15,4 @@ At the moment, Tidy3D’s heat solver can be used with the FDTD solver to model ../../HeatDissipationSOI ../../TransientThermoOpticShifter ../../CPOHeat + ../../TFLNTidy3d \ No newline at end of file diff --git a/img/TFLN_EOM_Tidy3D.png b/img/TFLN_EOM_Tidy3D.png new file mode 100644 index 0000000000000000000000000000000000000000..3043d885dc6da95f62f1f6f02e563723668eac0b GIT binary patch literal 86113 zcmcF~V|OJ?(CtZ1aAMoGGqJ6SolI<-6Wg|JXJXs7ZA~z7a-a2H{Db?YQH>A1YVBIJ zcXfoKyd(lFE-U~5K#-OaQw9LQW&RsigTVi5;Rew?{_B9wBGRfL5NLB>Veh{wj*Gaa zi;BIOi@TwdDZt#$-qw`C+1Sa{)Xv$$-sKk9D*ylx1Ej@-RXwt=x@D_vwcIG!N3!3y zymzDQ&3IU^g#p1aj!Iw3=W>3HtYmDgq^!QT-QKs{-gVp-Q{1ZpO!sJY6A3elXSH(OZO>cI z|JJ>0+E2`$w+VI>D?f%EO^X_QA^FJ&9S$+dXb38l$ 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"source": [ - "# Thin film Lithium Niobate electro-optic modulator using Tidy3D\n", + "# Thin film Lithium Niobate Electro-Optic Modulator using Tidy3D\n", "\n", "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", "\n", @@ -13,9 +13,10 @@ "\n", "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n", "\n", - "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", + "You can check here the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", "\n", - "\"Schematic" + "\"Schematic\n", + "\n" ] }, { @@ -29,26 +30,28 @@ "\n", "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode.\n", "\n", - "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L." + "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L.\n" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "7cc91408", "metadata": {}, "outputs": [], "source": [ - "import numpy as np\n", + "# Core simulation and plotting libraries\n", "import tidy3d as td\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "from tidy3d.plugins.mode import ModeSolver\n", + "from tidy3d import web\n", "\n", "# RF utilities for impedance and port definitions\n", "import tidy3d.plugins.microwave as mw\n", "import tidy3d.plugins.smatrix as sm\n", - "from matplotlib import pyplot as plt\n", - "from tidy3d import web\n", - "from tidy3d.plugins.mode import ModeSolver\n", "\n", + "# Suppress verbose logs to keep the notebook output clear\n", "td.config.logging_level = \"ERROR\"" ] }, @@ -57,62 +60,53 @@ "id": "49b37a57", "metadata": {}, "source": [ - "## Optical Waveguide " + "## Optical Waveguide Geometry" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "a43b5172", "metadata": {}, "outputs": [], "source": [ - "eff_inf = 1e3\n", + "eff_inf = 1e3 # Large extent to emulate semi-infinite regions\n", "\n", "opt_wavelength = 1.55\n", "freq_opt = td.C_0 / opt_wavelength\n", "\n", "\n", - "# Optical materials pulled from the Tidy3D library\n", + "# Optical materials: SiO2 cladding and TFLN core\n", "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", "\n", - "# Ridge geometry parameters\n", + "# Ridge geometry parameters from the reference design\n", "sidewall_angle = 15\n", "core_thickness = 0.2\n", "core_width = 3.0\n", "slab_thickness = 0.2\n", "plane_size = 8\n", - "plane_limits = (-1.5, 1.9)\n", + "plane_limits = (-1.5,1.9)\n", "plane_height = 3.4\n", "\n", "\n", "ridge = td.Structure(\n", " name=\"ridge\",\n", - " geometry=td.Box(\n", - " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", - " ),\n", + " geometry=td.Box(center=(0.0, 0.0, -slab_thickness/2), \n", + " size=(eff_inf, eff_inf, slab_thickness)),\n", " medium=LiNbO3,\n", ")\n", "\n", "core = td.Structure(\n", - " geometry=td.PolySlab(\n", - " sidewall_angle=sidewall_angle * np.pi / 180,\n", - " reference_plane=\"top\",\n", - " slab_bounds=[0, core_thickness],\n", - " vertices=[\n", - " [-eff_inf, -core_width / 2],\n", - " [eff_inf, -core_width / 2],\n", - " [eff_inf, core_width / 2],\n", - " [-eff_inf, core_width / 2],\n", - " ],\n", - " ),\n", - " name=\"core\",\n", - " medium=LiNbO3,\n", + " geometry = td.PolySlab(sidewall_angle = sidewall_angle * np.pi / 180, \n", + " reference_plane = 'top',\n", + " slab_bounds = [0, core_thickness], \n", + " vertices = [[-eff_inf, -core_width/2], [eff_inf, -core_width/2], [eff_inf, core_width/2], [-eff_inf, core_width/2]]), \n", + " name = 'core', \n", + " medium = LiNbO3\n", ")\n", "\n", "\n", - "# Auto grid with 20 pts/λ\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", "\n", "sim_opt = td.Simulation(\n", @@ -121,7 +115,7 @@ " medium=SiO2,\n", " structures=[ridge, core],\n", " grid_spec=grid_spec,\n", - ")" + ")\n" ] }, { @@ -129,191 +123,39 @@ "id": "e8801650", "metadata": {}, "source": [ - "### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation.\n", - "\n" + "### Creating the [ModSolver]() object and run mode simulation." ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "5edff819", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "mode_spec = td.ModeSpec(num_modes=5) # Request first five guided modes\n", + "## Creating the ModeSolver\n", "\n", - "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", - "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", + "mode_spec = td.ModeSpec(num_modes=5)\n", "\n", - "# Configure the optical mode solver at 1.55 μm\n", - "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", + "plane_size = (0,sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", + "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", "\n", - "# Quick visual check of geometry before submitting\n", - "mode_solver_opt.plot()\n", + "mode_solver_opt = ModeSolver(simulation=sim_opt,\n", + " freqs=[freq_opt], \n", + " mode_spec=mode_spec,\n", + " plane = plane)\n", "\n", - "plt.show()" + "mode_solver_opt.plot()" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "a454c0e0", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
15:48:21 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
-       "             'mo-2f61d41e-4b95-40f6-9960-437f4e4f5141' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
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             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2f61d41e-4b95-\n",
-       "             40f6-9960-437f4e4f5141'.                                           \n",
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             Task folder: 'TFLN-VPI'.                                           \n",
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15:48:24 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
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15:48:26 -03 status = success                                                   \n",
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15:48:38 -03 loading simulation from simulation_data.hdf5                       \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m15:48:38 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "mode_data_opt = web.run(\n", - " mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\"\n", - ") # Submit optical mode solve" + "mode_data_opt = web.run(mode_solver_opt,task_name = 'TFLN-opt_mode',folder_name = 'TFLN-VPI')" ] }, { @@ -326,155 +168,13 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "11417a3d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode area
fmode_index
1.934145e+1401.551.8514490.00.9997110.9883850.8695311.395676
11.551.8137470.00.9979920.9554860.8742271.537450
21.551.7628510.00.0048450.7752610.9877342.170106
31.551.7533010.00.9786580.9091640.8817801.840836
41.551.7223640.00.0302960.7853010.9515722.260011
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" - ], - "text/plain": [ - " wavelength n eff k eff TE (Ey) fraction \\\n", - "f mode_index \n", - "1.934145e+14 0 1.55 1.851449 0.0 0.999711 \n", - " 1 1.55 1.813747 0.0 0.997992 \n", - " 2 1.55 1.762851 0.0 0.004845 \n", - " 3 1.55 1.753301 0.0 0.978658 \n", - " 4 1.55 1.722364 0.0 0.030296 \n", - "\n", - " wg TE fraction wg TM fraction mode area \n", - "f mode_index \n", - "1.934145e+14 0 0.988385 0.869531 1.395676 \n", - " 1 0.955486 0.874227 1.537450 \n", - " 2 0.775261 0.987734 2.170106 \n", - " 3 0.909164 0.881780 1.840836 \n", - " 4 0.785301 0.951572 2.260011 " - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "mode_data_opt.to_dataframe() # Tabulate effective index and loss" + "mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n", + "mode_data_opt.to_dataframe()" ] }, { @@ -482,100 +182,72 @@ "id": "821fae2b", "metadata": {}, "source": [ - "## RF CPW Transmission Line \n", + "## RF CPW Transmission Line\n", "\n", "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode." ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "fd57cb3d", "metadata": {}, "outputs": [], "source": [ - "rf_freqs = np.linspace(1e9, 65e9, 20) # Broadband sweep for the CPW\n", + "rf_freqs = np.linspace(1e9, 65e9, 20)\n", "\n", - "# RF materials\n", + "# RF mediums\n", "\n", - "si_rf = td.Medium(permittivity=11.7) # High-resistivity silicon substrate\n", - "sio2_rf = td.Medium(permittivity=3.9) # Oxide buffer beneath the CPW electrodes\n", - "air_rf = td.Medium() # Air top cladding\n", - "# RF permittivity tensor for TFLN stack\n", - "tfln_rf = td.AnisotropicMedium(\n", - " xx=td.Medium(permittivity=44), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=44)\n", - ")\n", - "metal = td.LossyMetalMedium(\n", - " frequency_range=(1e8, 1e11),\n", - " conductivity=41,\n", - " fit_param=td.SurfaceImpedanceFitterParam(\n", - " max_num_poles=16,\n", - " ),\n", - ")\n", + "si_rf = td.Medium(permittivity=11.7)\n", + "sio2_rf = td.Medium(permittivity=3.9) \n", + "air_rf = td.Medium() \n", + "tfln_rf = td.AnisotropicMedium(xx = td.Medium(permittivity=44),\n", + " yy = td.Medium(permittivity=27.9),\n", + " zz = td.Medium(permittivity=44)) \n", + "metal = td.LossyMetalMedium(frequency_range=(100000000.0, 100000000000.0),\n", + " conductivity=41,\n", + " fit_param = td.SurfaceImpedanceFitterParam(max_num_poles = 16, ))\n", "\n", - "# Layer stack parameters (μm)\n", "tfln_thickness = 0.2\n", "sio2_thickness = 7\n", "metal_thickness = 0.9\n", - "tfln_height = 4.7 + tfln_thickness / 2 # Center of the TFLN film above the silicon\n", + "tfln_height = 4.7 + tfln_thickness/2 # Distance between the center of the TFLN from the Si substrate\n", "\n", - "# CPW geometry (μm)\n", "cpw_thickness = 0.9\n", - "cpw_center = sio2_thickness / 2 - cpw_thickness / 2\n", + "cpw_center = sio2_thickness/2 - cpw_thickness/2\n", "cpw_width = 10\n", "cpw_gap = 4\n", "\n", - "# Ground electrode on the negative y side\n", - "cpw_left = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, -eff_inf, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", + "cpw_left = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,cpw_center - cpw_thickness/2),\n", + " rmax = (eff_inf,-cpw_width/2-cpw_gap,cpw_center + cpw_thickness/2)),\n", + " medium = metal)\n", "\n", - "# Ground electrode on the positive y side\n", - "cpw_right = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, eff_inf, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", + "cpw_right = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,cpw_width/2+cpw_gap,cpw_center - cpw_thickness/2),\n", + " rmax = (eff_inf,eff_inf,cpw_center + cpw_thickness/2)),\n", + " medium = metal)\n", "\n", - "# Signal electrode between grounds\n", - "cpw_center = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, -cpw_width / 2, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, cpw_width / 2, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", + "cpw_center = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-cpw_width/2,cpw_center - cpw_thickness/2),\n", + " rmax = (eff_inf,cpw_width/2,cpw_center + cpw_thickness/2)),\n", + " medium = metal)\n", "\n", "\n", - "# Oxide buffer volume under the CPW\n", - "sio2_slab = td.Structure(\n", - " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", - ")\n", - "# Thicker TFLN slab for RF simulation\n", - "tfln_slab = td.Structure(\n", - " geometry=td.Box(\n", - " center=(0, 0, -sio2_thickness / 2 + tfln_height), size=(eff_inf, eff_inf, tfln_thickness)\n", - " ),\n", - " medium=tfln_rf,\n", - ")\n", "\n", - "# Backside silicon substrate region\n", - "si_substrate = td.Structure(\n", - " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -3.5)),\n", - " medium=si_rf,\n", - ")\n", + "sio2_slab = td.Structure(geometry = td.Box(center = (0,0,0),\n", + " size = (eff_inf, eff_inf, sio2_thickness)),\n", + " medium = sio2_rf)\n", + "tfln_slab = td.Structure(geometry = td.Box(center = (0,0,-sio2_thickness/2+tfln_height),\n", + " size = (eff_inf, eff_inf, tfln_thickness)),\n", + " medium = tfln_rf) \n", + "\n", + "si_substrate = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,-eff_inf),\n", + " rmax = (eff_inf,eff_inf,-3.5)),\n", + " medium = si_rf)\n", "\n", - "# Upper air region above electrodes\n", - "air_gap = td.Structure(\n", - " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, 3.5), rmax=(eff_inf, eff_inf, eff_inf)),\n", - " medium=air_rf,\n", - ")" + "air_gap = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,3.5),\n", + " rmax = (eff_inf,eff_inf,eff_inf)),\n", + " medium = air_rf)\n", + "\n", + "\n" ] }, { @@ -588,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "101d737f", "metadata": {}, "outputs": [], @@ -599,27 +271,25 @@ "\n", "# Define Layer refinement spec\n", "lr_spec = td.LayerRefinementSpec.from_structures(\n", - " structures=[cpw_center, cpw_left, cpw_right],\n", + " structures=[cpw_center,cpw_left,cpw_right],\n", " min_steps_along_axis=5,\n", " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", " refinement_inside_sim_only=False,\n", ")\n", "\n", - "\n", + "# Overall grid specification\n", "grid_spec = td.GridSpec.auto(\n", " min_steps_per_wvl=100,\n", " wavelength=td.C_0 / max(rf_freqs),\n", " layer_refinement_specs=[lr_spec],\n", ")\n", "\n", - "sim_rf_size = (25, 138, 150)\n", + "sim_rf_size = (25,138,150)\n", "\n", - "sim_rf = td.Simulation(\n", - " size=sim_rf_size,\n", - " structures=[sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", - " grid_spec=grid_spec,\n", - " run_time=1e-12,\n", - ")" + "sim_rf = td.Simulation(size = sim_rf_size,\n", + " structures = [sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", + " grid_spec =grid_spec,\n", + " run_time = 1e-12)" ] }, { @@ -632,26 +302,15 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "17b2eab6", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "ax = sim_rf.plot(x=0) # Visualize CPW layout at x=0\n", - "sim_rf.plot_grid(x=0, ax=ax) # Overlay mesh refinement\n", - "ax.set_xlim(-10, 10)\n", - "ax.set_ylim(-10, 10)\n", + "ax = sim_rf.plot(x = 0)\n", + "sim_rf.plot_grid(x = 0, ax = ax)\n", + "ax.set_xlim(-10,10)\n", + "ax.set_ylim(-10,10)\n", "\n", "plt.show()" ] @@ -661,35 +320,28 @@ "id": "b03b10c2", "metadata": {}, "source": [ - "Now, we define a [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object containing a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path defined around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground to calculate impedance." + "Now, we define a [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object containing a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path defined around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground to calculate impedance.\n" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "1318f55c", "metadata": {}, "outputs": [], "source": [ - "# Integration loop encloses signal conductor\n", - "I_int = mw.CurrentIntegralAxisAligned(\n", - " center=cpw_center.geometry.center,\n", - " size=(\n", - " 0,\n", - " cpw_width + cpw_gap,\n", - " 5 * cpw_thickness,\n", - " ),\n", - " sign=\"+\",\n", - ")\n", - "\n", - "# Line integral samples voltage across signal-ground gap\n", + "# Define current integration path (loop)\n", + "I_int = mw.CurrentIntegralAxisAligned(center=cpw_center.geometry.center, \n", + " size=(0,cpw_width+cpw_gap, 5 * cpw_thickness, \n", + " ), sign=\"+\")\n", + "# Define voltage integration path (line)\n", "V_int = mw.VoltageIntegralAxisAligned(\n", - " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", + " center=(0,cpw_width/2 + cpw_gap/2, cpw_center.geometry.center[2]),\n", " size=(0, cpw_gap, 0),\n", " sign=\"-\",\n", ")\n", "\n", - "# WavePort bundles the integrals into a port definition\n", + "# Define wave ports\n", "WP1 = sm.WavePort(\n", " center=cpw_center.geometry.center,\n", " size=(0, sim_rf.size[1], sim_rf.size[2]),\n", @@ -698,7 +350,17 @@ " name=\"WP1\",\n", " current_integral=I_int,\n", " voltage_integral=V_int,\n", - ")" + ")\n", + "\n", + "# Plot V and I integration paths\n", + "fig, ax = plt.subplots(figsize=(10, 3))\n", + "# mode_solver.plot_field(field_name=\"Ex\", val=\"real\", f=rf_freqs[0], ax=ax)\n", + "mode_solver_rf.plot(ax=ax)\n", + "I_int.plot(x=0, ax=ax)\n", + "V_int.plot(x=0, ax=ax)\n", + "ax.set_xlim(-20,20)\n", + "ax.set_ylim(-10, 10)\n", + "plt.show()" ] }, { @@ -706,185 +368,26 @@ "id": "04dad6c3", "metadata": {}, "source": [ - "Finally, we can use the [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object to automatically configure the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) based on the RF simulation model." + "Finally, we can use our [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object to automatically configure the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) based on the RF simulation model.\n" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "4d8cf718", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Obtain mode solver from wave port\n", - "mode_solver_rf = WP1.to_mode_solver(simulation=sim_rf, freqs=rf_freqs)\n", - "\n", - "# Plot V and I integration paths\n", - "fig, ax = plt.subplots(figsize=(10, 3))\n", - "mode_solver_rf.plot(ax=ax) # Show CPW geometry defined by the port plane\n", - "I_int.plot(x=0, ax=ax)\n", - "V_int.plot(x=0, ax=ax)\n", - "ax.set_xlim(-20, 20)\n", - "ax.set_ylim(-10, 10)\n", - "plt.show()" + "mode_solver_rf = WP1.to_mode_solver(simulation=sim_rf, freqs=rf_freqs)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "7fb8daeb", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
15:48:39 -03 Created task 'CPW mode solver' with resource_id                    \n",
-       "             'mo-86904f7a-93d4-4179-aea2-7b505fd2b829' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
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             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-86904f7a-93d4-\n",
-       "             4179-aea2-7b505fd2b829'.                                           \n",
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             Task folder: 'default'.                                            \n",
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15:48:42 -03 Estimated FlexCredit cost: 0.006. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
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15:48:44 -03 status = success                                                   \n",
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15:48:58 -03 loading simulation from data/WP1_mode_data.hdf5                    \n",
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\n" - ], - "text/plain": [ - "\u001b[2;36m15:48:58 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/WP1_mode_data.hdf5 \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "mode_data_rf = web.run(mode_solver_rf, task_name=\"CPW mode solver\", path=\"data/WP1_mode_data.hdf5\")" ] @@ -894,28 +397,17 @@ "id": "5a07d673", "metadata": {}, "source": [ - "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results." + "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results.\n" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "299e42fb", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# Characteristic impedance from port integrals\n", + "# Calculate Z0\n", "Z0_mode = np.conjugate(\n", " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", " mode_data_rf\n", @@ -923,17 +415,14 @@ ").squeeze()\n", "\n", "\n", - "# Inspect RF Ey distribution\n", "fig, ax = plt.subplots(1, 2, figsize=(9, 3), tight_layout=True)\n", "\n", "mode_solver_rf.plot_field(\"Ey\", \"real\", f=rf_freqs[0].item(), robust=False, ax=ax[0])\n", - "ax[0].set_xlim(-20, 20)\n", - "ax[0].set_ylim(-20, 20)\n", - "\n", - "ax[1].plot(Z0_mode.f * 1e-9, Z0_mode.real) # Plot real part of Z0 versus frequency\n", - "_ = ax[1].set(xlabel=\"Frequencies (GHz)\", ylabel=\"Re{Z₀} (Ω)\")\n", + "ax[0].set_xlim(-20,20)\n", + "ax[0].set_ylim(-20,20)\n", "\n", - "plt.show()" + "ax[1].plot(Z0_mode.f * 1e-9, Z0_mode.real)\n", + "_ = ax[1].set(xlabel=\"Frequencies (GHz)\", ylabel=\"Re{Z₀} (Ω)\")" ] }, { @@ -941,291 +430,106 @@ "id": "52e82ec2", "metadata": {}, "source": [ - "## Computation of Vπ·L \n", + "## Computation of Vπ·L\n", "\n", "Next, we run a similar mode simulation, this time adding the TFLN waveguides beneath the CPW gaps. We then monitor the RF fields at the waveguides and calculate the index change due to the Pockels effect." ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "0b823b69", "metadata": {}, "outputs": [], "source": [ - "# Align RF and optical coordinates\n", "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", "\n", - "# Waveguides beneath right CPW gap to sample RF field\n", - "waveguide_r = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"core_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]\n", - "\n", - "# Waveguides beneath left CPW gap\n", - "waveguide_l = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"core_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]\n", - "\n", - "# Mesh overrides tighten resolution in core and gaps\n", - "override_region = td.MeshOverrideStructure(\n", - " geometry=td.Box(\n", - " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", - " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", - " ),\n", - " dl=(None, None, 0.01),\n", - ")\n", - "\n", - "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", - "\n", - "override_region_gap_l = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", - "\n", - "override_region_gap_r = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", + "waveguide_r = [ridge.updated_copy(geometry = ridge.geometry.translated(x=0,y=cpw_width/2 + cpw_gap/2,z=delta_z),\n", + " name = 'ridge_r',\n", + " medium = tfln_rf), \n", + " core.updated_copy(geometry = core.geometry.translated(x=0,y=-cpw_width/2 - cpw_gap/2,z=delta_z),\n", + " name = 'core_r',\n", + " medium = tfln_rf)]\n", + "\n", + "waveguide_l = [ridge.updated_copy(geometry = ridge.geometry.translated(x=0,y=-cpw_width/2 - cpw_gap/2,z=delta_z),\n", + " name = 'ridge_l',\n", + " medium = tfln_rf), \n", + " core.updated_copy(geometry = core.geometry.translated(x=0,y=cpw_width/2 + cpw_gap/2,z=delta_z),\n", + " name = 'core_l',\n", + " medium = tfln_rf)]\n", + "\n", + "override_region = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", + " eff_inf,\n", + " slab_thickness + core_thickness),\n", + " center = (0,0,tfln_slab.geometry.center[2]+tfln_thickness/2)),\n", + " dl = (None,None,0.01))\n", + "\n", + "gap_center = cpw_center.geometry.center[1] + cpw_width/2 + cpw_gap/2\n", + "\n", + "override_region_gap_l = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", + " cpw_gap,\n", + " eff_inf),\n", + " center = (0,gap_center,0)),\n", + " dl = (None,0.01,None))\n", + "\n", + "override_region_gap_r = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", + " cpw_gap,\n", + " eff_inf),\n", + " center = (0,-gap_center,0)),\n", + " dl = (None,0.01,None)) \n", + "\n", + "\n", + "grid_spec_vpi = grid_spec.updated_copy(override_structures = [override_region,\n", + " override_region_gap_l,\n", + " override_region_gap_r])\n", + "sim_vpi = sim_rf.updated_copy(structures = [sio2_slab, \n", + " si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\\\n", + " + waveguide_r + waveguide_l,\n", + " grid_spec = grid_spec_vpi)\n", "\n", - "\n", - "# Updated RF simulation including optical rails\n", - "grid_spec_vpi = grid_spec.updated_copy(\n", - " override_structures=[override_region, override_region_gap_l, override_region_gap_r]\n", - ")\n", - "sim_vpi = sim_rf.updated_copy(\n", - " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", - " + waveguide_r\n", - " + waveguide_l,\n", - " grid_spec=grid_spec_vpi,\n", - ")" + "\n" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "de0b6b55", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "mzm_solver = ModeSolver(\n", - " simulation=sim_vpi, # RF mode solver with optical rails present\n", - " plane=mode_solver_rf.plane,\n", - " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", - " freqs=rf_freqs,\n", - ")\n", + "mzm_solver = ModeSolver(simulation = sim_vpi,\n", + " plane = mode_solver_rf.plane,\n", + " mode_spec = td.ModeSpec(num_modes=1,\n", + " target_neff=2.2),\n", + " freqs = rf_freqs)\n", "\n", "\n", - "ax = mzm_solver.plot() # Check geometry with overrides applied\n", - "mzm_solver.plot_grid(ax=ax) # Ensure mesh resolution near rails\n", - "ax.set_ylim(1, 5)\n", - "ax.set_xlim(4, 10)\n", "\n", - "plt.show()" + "\n", + "ax = mzm_solver.plot()\n", + "mzm_solver.plot_grid(ax=ax)\n", + "ax.set_ylim(1,5)\n", + "ax.set_xlim(4,10)" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "38935f5b", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
15:48:59 -03 Created task 'MZM mode solver' with resource_id                    \n",
-       "             'mo-52903d65-000d-403f-8f79-c68722127fc6' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
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             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-52903d65-000d-\n",
-       "             403f-8f79-c68722127fc6'.                                           \n",
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             Task folder: 'default'.                                            \n",
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15:49:02 -03 Estimated FlexCredit cost: 0.015. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m15:49:02 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.015\u001b[0m. Minimum cost depends on task \n", - "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", - "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
15:49:04 -03 status = success                                                   \n",
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\n" - ], - "text/plain": [ - "\u001b[2;36m15:49:04 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "fc67c005e5af4081aa7b558a14e88a2c", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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-     "metadata": {},
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-     "data": {
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15:49:27 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m15:49:27 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "mzm_mode_data = web.run(\n", - " mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\"\n", - ") # RF fields with waveguides included" + "mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "7d132394", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "_ = mzm_solver.plot_field(\n", - " \"Ey\", \"real\", f=rf_freqs[0], mode_index=0, robust=True\n", - ") # Ey component couples to r33\n", - "\n", - "plt.show()" + "_ = mzm_solver.plot_field(\"Ey\", \"real\", f=rf_freqs[0], mode_index=0, robust=True)" ] }, { @@ -1238,26 +542,15 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "a7147eea", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "n_eff = mzm_solver.data.n_eff.isel(mode_index=0).values # RF effective index with rails\n", + "n_eff = mzm_solver.data.n_eff.isel(mode_index=0).values\n", "\n", "# Calculate Z0\n", - "Z0_mzm = np.conjugate( # Characteristic impedance versus frequency\n", + "Z0_mzm= np.conjugate(\n", " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", " mzm_mode_data\n", " )\n", @@ -1265,13 +558,11 @@ "\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", "\n", - "ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\") # Dispersion of RF effective index\n", + "ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\")\n", "ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n", "\n", - "ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\") # Impedance trend across band\n", - "_ = ax[1].set(ylabel=\"Re{Z₀} (Ω)\", xlabel=\"Frequency (GHz)\")\n", - "\n", - "plt.show()" + "ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\")\n", + "_ = ax[1].set(ylabel=\"Re{Z₀} (Ω)\", xlabel=\"Frequency (GHz)\")" ] }, { @@ -1284,35 +575,20 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "82671b9d", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "v0 = WP1.voltage_integral.compute_voltage(\n", - " mzm_solver.data\n", - ") # Extract net port voltage at each frequency\n", - "ey_norm = (\n", - " (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", - ") # Normalize Ey to 1 V drive\n", "\n", - "offset = cpw_width / 2 + cpw_gap / 2\n", - "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset) # Shift origin so optical core sits at y=0\n", + "v0 = WP1.voltage_integral.compute_voltage(mzm_solver.data)\n", + "ey_norm = (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", "\n", - "ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True) # Field sampled through waveguide height\n", + "offset = cpw_width/2 + cpw_gap/2\n", + "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset)\n", "\n", - "plt.show()" + "ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True)\n", + "# _ = plt.gca().set(xlim=(-gap, gap), ylim=(-1, 4))" ] }, { @@ -1325,33 +601,20 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "c2e97084", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", + "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0/opt_wavelength))\n", "n_e = eps_e**0.5\n", - "r33 = 30.9e-6 # μm/V electro-optic coefficient\n", + "r33 = 30.9e-6 # μm/V\n", "\n", "# Index variation derived from the RF field\n", - "Δn = -0.5 * n_e**3 * r33 * ey_norm # Voltage-induced index perturbation\n", + "Δn = -0.5 * n_e**3 * r33 * ey_norm\n", "\n", "# We plot the whole domain, but the perturbation will only take effect over the LiNbO₃, not everywhere\n", - "_ = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False)\n", - "\n", - "plt.show()" + "_ = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False)" ] }, { @@ -1359,32 +622,32 @@ "id": "ff40809b", "metadata": {}, "source": [ - "We can now define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage, and return a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object." + "We can now define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage, and return a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object.\n" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "6a02f7c3", "metadata": {}, "outputs": [], "source": [ "# Use a single data point for the homogeneous directions\n", - "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", + "eps_o_array = td.SpatialDataArray(\n", + " np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]}\n", + ")\n", "\n", "\n", - "# Build a voltage-dependent optical simulation\n", "def perturbed_solver(voltage):\n", " perturbed_ln = td.CustomAnisotropicMedium(\n", " xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " yy=td.CustomMedium(permittivity=(n_e + voltage * Δn) ** 2, subpixel=True),\n", - " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True), # Assume x and z indices fixed\n", - " )\n", - " perturbed_sim = sim_opt.updated_copy(\n", - " structures=[core.updated_copy(medium=perturbed_ln), ridge.updated_copy(medium=perturbed_ln)]\n", + " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " )\n", - " ms = mode_solver_opt.updated_copy(simulation=perturbed_sim) # Reuse optical solver settings\n", - " return ms" + " perturbed_sim = sim_opt.updated_copy(structures = [core.updated_copy(medium = perturbed_ln), \n", + " ridge.updated_copy(medium = perturbed_ln)])\n", + " ms = mode_solver_opt.updated_copy(simulation = perturbed_sim)\n", + " return ms " ] }, { @@ -1397,148 +660,19 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "29e27d6c", "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "2f1df252f5e94d88a730c38d0fdbd088", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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+   "outputs": [],
    "source": [
-    "voltages = np.arange(5)  # 0–4 V sweep\n",
+    "voltages = np.arange(5)\n",
     "\n",
-    "sims = {str(v): perturbed_solver(v) for v in voltages}  # Label each job by voltage\n",
+    "sims = {str(v):perturbed_solver(v) for v in voltages}\n",
     "\n",
-    "batch = web.Batch(\n",
-    "    simulations=sims,  # Submit perturbed optical solves\n",
-    "    folder_name=\"perturbed_mode\",\n",
-    ")\n",
+    "batch = web.Batch(simulations = sims,\n",
+    "                  folder_name = 'perturbed_mode')\n",
     "\n",
-    "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")  # Download results when ready"
+    "batch_data = batch.run(path_dir = 'batch_perturbed_mode')"
    ]
   },
   {
@@ -1551,74 +685,43 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": null,
    "id": "7b8459f0",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
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",
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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "n_eff = [\n", - " sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()\n", - "] # Optical neff versus voltage\n", + "n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n", "\n", - "plt.plot(voltages, n_eff, \".-\") # Observe linear index tuning\n", - "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", - "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\") # Annotate axes\n", + "_ = plt.plot(voltages, n_eff, \".-\")\n", + "_ plt.ticklabel_format(style='plain', useOffset=False)\n", + "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "8093b264", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Vπ·L (single-drive) = 7.62 V·cm\n", - "Vπ·L (push-pull) = 3.81 V·cm\n" - ] - } - ], + "outputs": [], "source": [ - "# Use the slope between 0 and 4 V to approximate dn_eff/dV\n", + "# The variation is quite linear, so we simply use the largest interval\n", "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", "\n", - "vpil = 0.5 * opt_wavelength / dneff_dV # in V·μm\n", + "vpil = 0.5 * opt_wavelength / dneff_dV # in V·μm\"\n", "\n", - "print(f\"Vπ·L (single-drive) = {vpil * 1e-4:.2f} V·cm\") # Convert to standard units\n", - "print(f\"Vπ·L (push-pull) = {vpil * 1e-4 / 2:.2f} V·cm\") # Push-pull halves required voltage" + "print(f\"Vπ·L (single-drive) = {vpil * 1e-4:.2f} V·cm\")\n", + "print(f\"Vπ·L (push-pull) = {vpil * 1e-4 / 2:.2f} V·cm\")" ] } ], "metadata": { - "applications": [ - "Active photonic integrated circuit components" - ], - "description": "This notebook demonstrates how to simulate a thin-film lithium niobate electro-optic modulator using Tidy3D.", - "feature_image": "./img/TFLN_EOM_Tidy3D.png", - "features": [ - "Wave port" - ], "kernelspec": { "display_name": "td2100rc2", "language": "python", "name": "python3" }, - "keywords": "electro-optic modulator, lithium niobate, Pockels effect, Tidy3D, FDTD", "language_info": { "codemirror_mode": { "name": "ipython", @@ -1630,8 +733,7 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" - }, - "title": "How to model TFLN EOM using Tidy3D | Flexcompute" + } }, "nbformat": 4, "nbformat_minor": 5 From 36f62c65bfc5b26c32f91b2e22848ef5cb414ffc Mon Sep 17 00:00:00 2001 From: "filipe@flexcompute.com" Date: Mon, 27 Oct 2025 12:03:11 -0300 Subject: [PATCH 3/6] lint --- TFLNTidy3d.ipynb | 1248 +++++++++++++++++++++++++++++++++++++++------- 1 file changed, 1060 insertions(+), 188 deletions(-) diff --git a/TFLNTidy3d.ipynb b/TFLNTidy3d.ipynb index 5bcd3030..5e5a9bfb 100644 --- a/TFLNTidy3d.ipynb +++ b/TFLNTidy3d.ipynb @@ -13,7 +13,7 @@ "\n", "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n", "\n", - "You can check here the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", + "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", "\n", "\"Schematic\n", "\n" @@ -35,21 +35,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "7cc91408", "metadata": {}, "outputs": [], "source": [ "# Core simulation and plotting libraries\n", - "import tidy3d as td\n", "import numpy as np\n", - "from matplotlib import pyplot as plt\n", - "from tidy3d.plugins.mode import ModeSolver\n", - "from tidy3d import web\n", + "import tidy3d as td\n", "\n", "# RF utilities for impedance and port definitions\n", "import tidy3d.plugins.microwave as mw\n", "import tidy3d.plugins.smatrix as sm\n", + "from matplotlib import pyplot as plt\n", + "from tidy3d import web\n", + "from tidy3d.plugins.mode import ModeSolver\n", "\n", "# Suppress verbose logs to keep the notebook output clear\n", "td.config.logging_level = \"ERROR\"" @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "a43b5172", "metadata": {}, "outputs": [], @@ -86,24 +86,32 @@ "core_width = 3.0\n", "slab_thickness = 0.2\n", "plane_size = 8\n", - "plane_limits = (-1.5,1.9)\n", + "plane_limits = (-1.5, 1.9)\n", "plane_height = 3.4\n", "\n", "\n", "ridge = td.Structure(\n", " name=\"ridge\",\n", - " geometry=td.Box(center=(0.0, 0.0, -slab_thickness/2), \n", - " size=(eff_inf, eff_inf, slab_thickness)),\n", + " geometry=td.Box(\n", + " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", + " ),\n", " medium=LiNbO3,\n", ")\n", "\n", "core = td.Structure(\n", - " geometry = td.PolySlab(sidewall_angle = sidewall_angle * np.pi / 180, \n", - " reference_plane = 'top',\n", - " slab_bounds = [0, core_thickness], \n", - " vertices = [[-eff_inf, -core_width/2], [eff_inf, -core_width/2], [eff_inf, core_width/2], [-eff_inf, core_width/2]]), \n", - " name = 'core', \n", - " medium = LiNbO3\n", + " geometry=td.PolySlab(\n", + " sidewall_angle=sidewall_angle * np.pi / 180,\n", + " reference_plane=\"top\",\n", + " slab_bounds=[0, core_thickness],\n", + " vertices=[\n", + " [-eff_inf, -core_width / 2],\n", + " [eff_inf, -core_width / 2],\n", + " [eff_inf, core_width / 2],\n", + " [-eff_inf, core_width / 2],\n", + " ],\n", + " ),\n", + " name=\"core\",\n", + " medium=LiNbO3,\n", ")\n", "\n", "\n", @@ -115,7 +123,7 @@ " medium=SiO2,\n", " structures=[ridge, core],\n", " grid_spec=grid_spec,\n", - ")\n" + ")" ] }, { @@ -128,34 +136,191 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "5edff819", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "## Creating the ModeSolver\n", "\n", "mode_spec = td.ModeSpec(num_modes=5)\n", "\n", - "plane_size = (0,sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", + "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", "\n", - "mode_solver_opt = ModeSolver(simulation=sim_opt,\n", - " freqs=[freq_opt], \n", - " mode_spec=mode_spec,\n", - " plane = plane)\n", + "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", "\n", "mode_solver_opt.plot()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "a454c0e0", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
11:59:38 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
+       "             'mo-d7687704-b36c-40bc-9e28-ca4c65db8e72' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m11:59:38 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-d7687704-b36c-40bc-9e28-ca4c65db8e72'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-\n",
+       "             40bc-9e28-ca4c65db8e72'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=250938;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=605385;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m-d7687704-b36c-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m40bc-9e28-ca4c65db8e72'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'TFLN-VPI'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=29615;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "815af4a01228439590069595ca765740", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
11:59:42 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m11:59:42 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.004\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
11:59:43 -03 status = success                                                   \n",
+       "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
11:59:54 -03 loading simulation from simulation_data.hdf5                       \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m11:59:54 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "mode_data_opt = web.run(mode_solver_opt,task_name = 'TFLN-opt_mode',folder_name = 'TFLN-VPI')" + "mode_data_opt = web.run(mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\")" ] }, { @@ -168,10 +333,141 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "11417a3d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode area
fmode_index
1.934145e+1401.551.8514490.00.9997110.9883850.8695311.395676
11.551.8137470.00.9979920.9554860.8742271.537450
21.551.7628510.00.0048450.7752610.9877342.170106
31.551.7533010.00.9786580.9091640.8817801.840836
41.551.7223640.00.0302960.7853010.9515722.260011
\n", + "
" + ], + "text/plain": [ + " wavelength n eff k eff TE (Ey) fraction \\\n", + "f mode_index \n", + "1.934145e+14 0 1.55 1.851449 0.0 0.999711 \n", + " 1 1.55 1.813747 0.0 0.997992 \n", + " 2 1.55 1.762851 0.0 0.004845 \n", + " 3 1.55 1.753301 0.0 0.978658 \n", + " 4 1.55 1.722364 0.0 0.030296 \n", + "\n", + " wg TE fraction wg TM fraction mode area \n", + "f mode_index \n", + "1.934145e+14 0 0.988385 0.869531 1.395676 \n", + " 1 0.955486 0.874227 1.537450 \n", + " 2 0.775261 0.987734 2.170106 \n", + " 3 0.909164 0.881780 1.840836 \n", + " 4 0.785301 0.951572 2.260011 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n", "mode_data_opt.to_dataframe()" @@ -189,7 +485,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "fd57cb3d", "metadata": {}, "outputs": [], @@ -199,55 +495,75 @@ "# RF mediums\n", "\n", "si_rf = td.Medium(permittivity=11.7)\n", - "sio2_rf = td.Medium(permittivity=3.9) \n", - "air_rf = td.Medium() \n", - "tfln_rf = td.AnisotropicMedium(xx = td.Medium(permittivity=44),\n", - " yy = td.Medium(permittivity=27.9),\n", - " zz = td.Medium(permittivity=44)) \n", - "metal = td.LossyMetalMedium(frequency_range=(100000000.0, 100000000000.0),\n", - " conductivity=41,\n", - " fit_param = td.SurfaceImpedanceFitterParam(max_num_poles = 16, ))\n", + "sio2_rf = td.Medium(permittivity=3.9)\n", + "air_rf = td.Medium()\n", + "tfln_rf = td.AnisotropicMedium(\n", + " xx=td.Medium(permittivity=44), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=44)\n", + ")\n", + "metal = td.LossyMetalMedium(\n", + " frequency_range=(100000000.0, 100000000000.0),\n", + " conductivity=41,\n", + " fit_param=td.SurfaceImpedanceFitterParam(\n", + " max_num_poles=16,\n", + " ),\n", + ")\n", "\n", "tfln_thickness = 0.2\n", "sio2_thickness = 7\n", "metal_thickness = 0.9\n", - "tfln_height = 4.7 + tfln_thickness/2 # Distance between the center of the TFLN from the Si substrate\n", + "tfln_height = (\n", + " 4.7 + tfln_thickness / 2\n", + ") # Distance between the center of the TFLN from the Si substrate\n", "\n", "cpw_thickness = 0.9\n", - "cpw_center = sio2_thickness/2 - cpw_thickness/2\n", + "cpw_center = sio2_thickness / 2 - cpw_thickness / 2\n", "cpw_width = 10\n", "cpw_gap = 4\n", "\n", - "cpw_left = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,cpw_center - cpw_thickness/2),\n", - " rmax = (eff_inf,-cpw_width/2-cpw_gap,cpw_center + cpw_thickness/2)),\n", - " medium = metal)\n", - "\n", - "cpw_right = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,cpw_width/2+cpw_gap,cpw_center - cpw_thickness/2),\n", - " rmax = (eff_inf,eff_inf,cpw_center + cpw_thickness/2)),\n", - " medium = metal)\n", - "\n", - "cpw_center = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-cpw_width/2,cpw_center - cpw_thickness/2),\n", - " rmax = (eff_inf,cpw_width/2,cpw_center + cpw_thickness/2)),\n", - " medium = metal)\n", + "cpw_left = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, -eff_inf, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", "\n", + "cpw_right = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, eff_inf, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", "\n", + "cpw_center = td.Structure(\n", + " geometry=td.Box.from_bounds(\n", + " rmin=(-eff_inf, -cpw_width / 2, cpw_center - cpw_thickness / 2),\n", + " rmax=(eff_inf, cpw_width / 2, cpw_center + cpw_thickness / 2),\n", + " ),\n", + " medium=metal,\n", + ")\n", "\n", - "sio2_slab = td.Structure(geometry = td.Box(center = (0,0,0),\n", - " size = (eff_inf, eff_inf, sio2_thickness)),\n", - " medium = sio2_rf)\n", - "tfln_slab = td.Structure(geometry = td.Box(center = (0,0,-sio2_thickness/2+tfln_height),\n", - " size = (eff_inf, eff_inf, tfln_thickness)),\n", - " medium = tfln_rf) \n", "\n", - "si_substrate = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,-eff_inf),\n", - " rmax = (eff_inf,eff_inf,-3.5)),\n", - " medium = si_rf)\n", + "sio2_slab = td.Structure(\n", + " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", + ")\n", + "tfln_slab = td.Structure(\n", + " geometry=td.Box(\n", + " center=(0, 0, -sio2_thickness / 2 + tfln_height), size=(eff_inf, eff_inf, tfln_thickness)\n", + " ),\n", + " medium=tfln_rf,\n", + ")\n", "\n", - "air_gap = td.Structure(geometry = td.Box.from_bounds(rmin = (-eff_inf,-eff_inf,3.5),\n", - " rmax = (eff_inf,eff_inf,eff_inf)),\n", - " medium = air_rf)\n", + "si_substrate = td.Structure(\n", + " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -3.5)),\n", + " medium=si_rf,\n", + ")\n", "\n", - "\n" + "air_gap = td.Structure(\n", + " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, 3.5), rmax=(eff_inf, eff_inf, eff_inf)),\n", + " medium=air_rf,\n", + ")" ] }, { @@ -260,7 +576,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "101d737f", "metadata": {}, "outputs": [], @@ -271,7 +587,7 @@ "\n", "# Define Layer refinement spec\n", "lr_spec = td.LayerRefinementSpec.from_structures(\n", - " structures=[cpw_center,cpw_left,cpw_right],\n", + " structures=[cpw_center, cpw_left, cpw_right],\n", " min_steps_along_axis=5,\n", " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", " refinement_inside_sim_only=False,\n", @@ -284,12 +600,14 @@ " layer_refinement_specs=[lr_spec],\n", ")\n", "\n", - "sim_rf_size = (25,138,150)\n", + "sim_rf_size = (25, 138, 150)\n", "\n", - "sim_rf = td.Simulation(size = sim_rf_size,\n", - " structures = [sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", - " grid_spec =grid_spec,\n", - " run_time = 1e-12)" + "sim_rf = td.Simulation(\n", + " size=sim_rf_size,\n", + " structures=[sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", + " grid_spec=grid_spec,\n", + " run_time=1e-12,\n", + ")" ] }, { @@ -302,15 +620,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "17b2eab6", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "ax = sim_rf.plot(x = 0)\n", - "sim_rf.plot_grid(x = 0, ax = ax)\n", - "ax.set_xlim(-10,10)\n", - "ax.set_ylim(-10,10)\n", + "ax = sim_rf.plot(x=0)\n", + "sim_rf.plot_grid(x=0, ax=ax)\n", + "ax.set_xlim(-10, 10)\n", + "ax.set_ylim(-10, 10)\n", "\n", "plt.show()" ] @@ -325,18 +654,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "1318f55c", "metadata": {}, "outputs": [], "source": [ "# Define current integration path (loop)\n", - "I_int = mw.CurrentIntegralAxisAligned(center=cpw_center.geometry.center, \n", - " size=(0,cpw_width+cpw_gap, 5 * cpw_thickness, \n", - " ), sign=\"+\")\n", + "I_int = mw.CurrentIntegralAxisAligned(\n", + " center=cpw_center.geometry.center,\n", + " size=(\n", + " 0,\n", + " cpw_width + cpw_gap,\n", + " 5 * cpw_thickness,\n", + " ),\n", + " sign=\"+\",\n", + ")\n", "# Define voltage integration path (line)\n", "V_int = mw.VoltageIntegralAxisAligned(\n", - " center=(0,cpw_width/2 + cpw_gap/2, cpw_center.geometry.center[2]),\n", + " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", " size=(0, cpw_gap, 0),\n", " sign=\"-\",\n", ")\n", @@ -350,17 +685,7 @@ " name=\"WP1\",\n", " current_integral=I_int,\n", " voltage_integral=V_int,\n", - ")\n", - "\n", - "# Plot V and I integration paths\n", - "fig, ax = plt.subplots(figsize=(10, 3))\n", - "# mode_solver.plot_field(field_name=\"Ex\", val=\"real\", f=rf_freqs[0], ax=ax)\n", - "mode_solver_rf.plot(ax=ax)\n", - "I_int.plot(x=0, ax=ax)\n", - "V_int.plot(x=0, ax=ax)\n", - "ax.set_xlim(-20,20)\n", - "ax.set_ylim(-10, 10)\n", - "plt.show()" + ")" ] }, { @@ -373,7 +698,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "4d8cf718", "metadata": {}, "outputs": [], @@ -384,10 +709,177 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, + "id": "d0011c9e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot V and I integration paths\n", + "fig, ax = plt.subplots(figsize=(10, 3))\n", + "mode_solver_rf.plot(ax=ax)\n", + "I_int.plot(x=0, ax=ax)\n", + "V_int.plot(x=0, ax=ax)\n", + "ax.set_xlim(-20, 20)\n", + "ax.set_ylim(-10, 10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, "id": "7fb8daeb", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
11:59:56 -03 Created task 'CPW mode solver' with resource_id                    \n",
+       "             'mo-2291d686-25b0-4507-bbf9-ee62b720fbba' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m11:59:56 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'CPW mode solver'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-2291d686-25b0-4507-bbf9-ee62b720fbba'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-\n",
+       "             4507-bbf9-ee62b720fbba'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=544536;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=952698;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m-2291d686-25b0-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m4507-bbf9-ee62b720fbba'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=893179;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9923e0298dd3408488c7f99d2f39cb32", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
11:59:58 -03 Estimated FlexCredit cost: 0.006. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m11:59:58 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.006\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
12:00:00 -03 status = success                                                   \n",
+       "
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\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
12:00:13 -03 loading simulation from data/WP1_mode_data.hdf5                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:13 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/WP1_mode_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "mode_data_rf = web.run(mode_solver_rf, task_name=\"CPW mode solver\", path=\"data/WP1_mode_data.hdf5\")" ] @@ -402,10 +894,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "299e42fb", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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5cgTdunXj04YnJSVh165dCA8PV0vdXZaLiwsWLFiAZcuWoXfv3hgwYACio6Oxbt06tG/fnk9rfeLECUybNg1Dhw5Fs2bNUFxcjJ9//hlCoRCDBw8GACxfvhz//PMP+vbtC29vb6SmpmLdunVo0KABOnfuXGEbdNlv9OjR+O233zB58mSEhYWhU6dOkMvluHXrFn777TccPnwY7dq1Q5MmTfDhhx9ixYoV6NKlCwYNGgSJRIKLFy/Cw8MDq1atAqBMT71+/Xp89NFHaNKkCVxdXflkFqVZWFjg008/xfjx49GtWzeMGDGCT43esGFDzJ49u7p/NjUdO3aEo6Mjxo4dixkzZoDjOPz8888aP8y3bdsWO3fuxJw5c9C+fXvY2tqif//+GutNTU3FlClT0L17d0ybNg0A8M033yAsLAzjxo1DeHg4P9yvuvdMrVixAlOnTsXQoUMRGhqK06dP45dffsHHH38MJycnvuw333yDZcuWISwsjJ/XKygoCEOHDsWCBQuQmpqKJk2a4KeffsL9+/fx448/qh3r448/RseOHfnneXx8PNasWYNevXqhd+/elbb11VdfxZ49e8AYK9e7d/PmTfTp0wcDBgxAYmIivvzyS0ilUpw9exa//vorRowYUeVrU5GjR4+if//+dM8UIYQQQozLOEkETdODBw/YmDFjmIuLC5NIJKxRo0Zs6tSprKCggDH2LK2zpvTpjClTofv6+jILCwvm5ubGpkyZwp4+fcpvv3fvHnvzzTdZ48aNmaWlJXNycmLdu3dnx44d48scP36cvfrqq8zDw4OJxWLm4eHBRowYwW7fvq217bruV1hYyD799FPWsmVLJpFImKOjI2vbti1btmxZuTTfmzZtYoGBgXy5bt26saNHj/Lbk5OTWd++fZmdnR0DwKewLpsaXWXnzp18fU5OTmzkyJEsPj5erczYsWOZjY1NufNbsmQJ0+XpeubMGfbiiy8yKysr5uHhwd5//312+PDhcu3Jzs5mb7zxBnNwcGAAtKZJHzRoELOzs2P3799XW//nn38yAOzTTz+ttF262LhxI2vevDkTi8WscePGbO3atWrpwxl7dh3KXtu8vDw2d+5cJpPJmEQiYe3bt2eHDh3SeJzTp0+zjh07MktLS+bi4sKmTp3KMjMzdWrj5cuXGYBy6fUBsDlz5rChQ4cyKysr5u7uzr755hu2YcMGZm1tzd566y3GWMX/Q6rzKpvaX9Pz4ebNmwyA2v8NIYQQQogxcIwZYAwOIcRs9ezZEx4eHvj555/5dRzHYcmSJVi6dKnBjz9r1iz8888/iIyMpJ4pQgghhBgV3TNFCKmSlStXYufOnXzK+5r05MkT/PDDD/joo48okCKEEEKI0dE9U4SQKgkKCqpwXixDc3Z2RnZ2tlGOTQghhBBSFvVMEUIIIYQQQkg1mFwwtWrVKrRv3x52dnZwdXXFwIEDy81PlJ+fj6lTp8LZ2Rm2trYYPHgwUlJStNbLGMPixYvh7u4OKysrhISEICYmRq1MWloaRo4cCXt7ezg4OGDChAn0LTghOmCM1cj9UoQQQgghpsTkgqlTp05h6tSpOHfuHI4ePYqioiL06tWLnwMJAGbPno2//voLu3btwqlTp5CYmIhBgwZprfezzz7DV199hQ0bNuD8+fOwsbFBaGgo8vPz+TIjR47E9evXcfToUfz999/4559/MGnSJIOdKyGEEEIIIaT2Mvlsfo8ePYKrqytOnTqFrl27IiMjAy4uLti+fTuGDBkCALh16xb8/PwQERGBF198sVwdjDF4eHjg3Xffxdy5cwEAGRkZcHNzw5YtWzB8+HDcvHkTLVq0wMWLF9GuXTsAwKFDh9CnTx/Ex8fDw8Oj5k6aEEIIIYQQYvJMPgFFRkYGAPATl0ZGRqKoqAghISF8GV9fX3h5eVUYTMXGxiI5OVltH6lUiqCgIERERGD48OGIiIiAg4MDH0gBQEhICAQCAc6fP4/XXnutXL0FBQUoKCjgHysUCqSlpcHZ2ZkyjRFSCcYYsrKy4OHhwU96/Lzy8/N1So4hFothaWmpl2OS2kWhUCAxMRF2dnb0Ok0IIaRCun5OMelgSqFQYNasWejUqRP8/f0BAMnJyRCLxXBwcFAr6+bmhuTkZI31qNa7ublVuE9ycjJcXV3VtotEIjg5OVVY76pVq7Bs2bIqnxch5Jm4uDg0aNDguevJz8+HlZ0TUJxXaVmZTIbY2FgKqOqgxMREeHp6GrsZhBBCaonKPqeYdDA1depUREVFITw83NhN0WjBggWYM2cO/zgjIwNeXl64HXMHdnZ2RmxZ7VNTXxBzhhrVyhSGqdeMZWVloUmz5nr7XyksLASK82DhPwIQWlRcUF6E5KhfUVhYSMFUHaR6vsXFxcHe3t7IrSGEEGKqMjMz4enpWennFJMNpqZNm8YngSgdDcpkMhQWFiI9PV2tdyolJQUymUxjXar1KSkpcHd3V9undevWfJnU1FS1/YqLi5GWllZhvRKJBBKJpNx6Ozs7epOuIgqm6i59D7XiLCzBCcUVbmcCoV6PR2oX1fPN3t6eXqcJIYRUqrLPKSaXzY8xhmnTpmHPnj04ceIEfHx81La3bdsWFhYWOH78OL8uOjoaDx8+RHBwsMY6fXx8IJPJ1PbJzMzE+fPn+X2Cg4ORnp6OyMhIvsyJEyegUCgQFBSkz1MkhBgQJxBWuhBCCCGE6IPJ9UxNnToV27dvx59//gk7Ozv+fiWpVAorKytIpVJMmDABc+bMgZOTE+zt7TF9+nQEBwerJZ/w9fXFqlWr8Nprr4HjOMyaNQsfffQRmjZtCh8fHyxatAgeHh4YOHAgAMDPzw+9e/fGxIkTsWHDBhQVFWHatGkYPnw4ZfIjpBYRiCzAibT0THEmncCUEEIIIbWIyQVT69evBwC89NJLaus3b96McePGAQDWrl0LgUCAwYMHo6CgAKGhoVi3bp1a+ejoaD4TIAC8//77yMnJwaRJk5Ceno7OnTvj0KFDavdMbNu2DdOmTUPPnj35+r/66ivDnCghxCAElfQ+0TA/QgghhOiLyc8zVZtkZmZCKpUiKTmFxuJXEd0zVfdkZmbCzd0DGRkZevl/Uf3/2XaaCU5U/l5GFVZcgOwzX+rtuKR2UT1P6O9PCCFEG13fL0yuZ8pcKShm1a7k8giqGFXpLQirZjDEURClE8bV3O2Zld4XRT1ThBBCCNETCqYIIWZFec9UxanRGSgAJs/veNRZ/PvgFsZ0fQ317ByN3RxCCCFGQsEUIcSscAJBJT1TJpfElNRCy37/GreTYtHKyxchAR2N3RxCCCFGQp8qCCFmheMqSY3O0TA/8vz8GzQFAFyPv23klhBCCDEmCqYIIeZFKASnZYGQginy/Fp6NgMAXIujYIoQQuoyCqYIIWZFIBJXuhDTlZCQgFGjRsHZ2RlWVlYICAjApUuXNJadPHkyOI7DF198UbONBBBQEkxdp2CKEELqNLpnihBiVgQCIQSUza9Wevr0KTp16oTu3bvj4MGDcHFxQUxMDBwdyyd42LNnD86dO2e0SdVVPVOxj+KRnZ8DW0sbo7SDEEKIcVEwRQgxK5UloOAoAYXJ+vTTT+Hp6YnNmzfz63x8fMqVS0hIwPTp03H48GH07du3JpvIc7Z1gIejKxKfpuJ6fAyCmrQ2SjsIIYQYF32qIISYFa3JJyqbg4oY1b59+9CuXTsMHToUrq6uCAwMxPfff69WRqFQYPTo0XjvvffQsmVLI7VUqWVJEoqouBijtoMQQojxUDBFCDErdM9U7XXv3j2sX78eTZs2xeHDhzFlyhTMmDEDP/30E1/m008/hUgkwowZM3Sqs6CgAJmZmWqLvvh7NgcARNF9U4QQUmfRMD9CiFlRpUbXtp2YJoVCgXbt2mHlypUAgMDAQERFRWHDhg0YO3YsIiMj8eWXX+Ly5cvgOE6nOletWoVly5YZpL3+npQenRBC6jrqmSKEmBVtadH59OjEJLm7u6NFixZq6/z8/PDw4UMAwOnTp5GamgovLy+IRCKIRCI8ePAA7777Lho2bKixzgULFiAjI4Nf4uLi9NZeVc/UrcR7KJIX661eQgghtQf1TBFCzIpAZKF9KJ+CPvSaqk6dOiE6Olpt3e3bt+Ht7Q0AGD16NEJCQtS2h4aGYvTo0Rg/frzGOiUSCSQSiUHa6+XsDjtLG2Tl5yAmKRYtSu6hIoQQUndQMEUIMSuVJZmgBBSma/bs2ejYsSNWrlyJYcOG4cKFC9i4cSM2btwIAHB2doazs7PaPhYWFpDJZGjevHmNt5fjOLT0bIZzMVdwLe42BVOEEFIH0TA/QohZEQi4Shdimtq3b489e/bg119/hb+/P1asWIEvvvgCI0eONHbTKvRs8l7K6EcIIXUR9UwRQswKJ+DAaQmYtG0jxtevXz/069dP5/L37983XGN0wKdHpyQUhBBSJ1EwRQgxKwKhAEKhlk53bdsIqaIAL+XwwuvxMWCM6ZxlkBBCiHmgTxWEELPCcRzfO6VxoQ+7RI+ayhrCQihCRm4W4p4kGbs5hBBCahgFU4QQs6I1kKpkCCAhVSUWWcDXoxEAmryXEELqIgqmCCFmRcBxlS5VsXTpUmVvV6nF19dX6z67du2Cr68vLC0tERAQgAMHDjzPKRET17IkCUVUPCWhIISQuoaCKUKIWRGIBJUuVdWyZUskJSXxS3h4eIVlz549ixEjRmDChAm4cuUKBg4ciIEDByIqKup5TouYMH9VMBUXXUlJQggh5oaCKUKIWTFEanSRSASZTMYv9erVq7Dsl19+id69e+O9996Dn58fVqxYgTZt2uCbb755ntMiJsy/AaVHJ4SQuoqCKUKIWeEElS8AkJmZqbYUFBRUWGdMTAw8PDzQqFEjjBw5Eg8fPqywbEREBEJCQtTWhYaGIiIiQi/nR0yPKj16wtMUpGVnGLk1hBBCahKlRjdhTA91KPRRCQDGqleRrpnTVJ0Fcg3H0VaDQMPW6iRr45hCe4FKt1fh+lRWlyacHr730EcWO320w8BU9zVp2w4Anp6eauuXLFmCpUuXlisfFBSELVu2oHnz5khKSsKyZcvQpUsXREVFwc7Orlz55ORkuLm5qa1zc3NDcnJyNc6G1AZ2VjZo6NIA9x/F43r8bXTxbW/sJhFCCKkhFEwRQsyKUMRBqO2+KLkymIqLi4O9vT2/WiKRaCz+yiuv8L+3atUKQUFB8Pb2xm+//YYJEybop9Gk1mvZoCnuP4pHVBwFU4QQUpeY/tfMhBBSBbrOM2Vvb6+2VBRMleXg4IBmzZrhzp07GrfLZDKkpKSorUtJSYFMJnu+EyMmLYBPQkHp0QkhpC6hYIoQYlb0nRq9rOzsbNy9exfu7u4atwcHB+P48eNq644ePYrg4ODnOi4xbZQenRBC6iYKpggh5qWyCXurmM1v7ty5OHXqFO7fv4+zZ8/itddeg1AoxIgRIwAAY8aMwYIFC/jyM2fOxKFDh7BmzRrcunULS5cuxaVLlzBt2jS9niYxLaqeqTvJD5BXmG/k1hBCCKkpFEwRQsyKUCSodKmK+Ph4jBgxAs2bN8ewYcPg7OyMc+fOwcXFBQDw8OFDJCUl8eU7duyI7du3Y+PGjXjhhRewe/du7N27F/7+/no9T2Ja3KT14GznCLlCjluJ94zdHEIIITWEElAQQsyKrtn8dLVjxw6t20+ePFlu3dChQzF06NAqHYfUbhzHIcCzGU7eOI+ouNsIbNjC2E0ihBBSA6hnihBiVnSdZ4oQfVPNN0VJKAghpO6gnilCiFkRCDgItNwXpW0bIc/DnzL6EUJInUPBFCHErAiEAgiEFXc/adtGyPNQBVM3Eu5ArpBDKBAauUWEEEIMjT5VEELMiqpnSttCiCE0cvWEldgSeYX5iE2NN3ZzCCGE1AAKpgghZkXXSXsJ0TehQIgW9ZsAoKF+hBBSV1AwRQgxK0IBV+lCiKG09CxJQhFPwRQhhNQFdM8UIcSsWIgEsNAylxRXxXmmCKmKAM/mAKhnihBC6goKpgghZqWy3icF9UwRA1KlR78WdxuMMRpWSgghZo6+oiWEmBUa5keMya9+Ywg4AZ5kPUVKxmNjN4cQQoiBUc+UGVCwircxpmWjlv0r20vbMTXVpO3zKwdAXupx2bKlv9ktu02h4fyE2r4JZgrd15euW8N2ruy6qtRdmcpmltWwnVU6G62W7Wb07blIAIi0POEYfYVEDMhKbIkmMm/cTopFVFwMZA4uxm4SIYQQAzK5jxX//PMP+vfvDw8PD3Ach71796ptZ4xh8eLFcHd3h5WVFUJCQhATE1Npvd9++y0aNmwIS0tLBAUF4cKFC2rb8/PzMXXqVDg7O8PW1haDBw9GSkqKPk+NEFIDLEQCiLUs2u6nIkQf/EuG+kXFRRu5JYQQQgzN5D5V5OTk4IUXXsC3336rcftnn32Gr776Chs2bMD58+dhY2OD0NBQ5OfnV1jnzp07MWfOHCxZsgSXL1/GCy+8gNDQUKSmpvJlZs+ejb/++gu7du3CqVOnkJiYiEGDBun9/AghhiXkBBAKtCyV9uAR8nz8VUko4iv/oo8QQkjtZnKfKl555RV89NFHeO2118ptY4zhiy++wMKFC/Hqq6+iVatW2Lp1KxITE8v1YJX2+eefY+LEiRg/fjxatGiBDRs2wNraGps2bQIAZGRk4Mcff8Tnn3+OHj16oG3btti8eTPOnj2Lc+fOGepUCSEGQPdMEWPzL0mPfp0y+hFCiNkzuWBKm9jYWCQnJyMkJIRfJ5VKERQUhIiICI37FBYWIjIyUm0fgUCAkJAQfp/IyEgUFRWplfH19YWXl1eF9QJAQUEBMjMz1RZCiHFRMEWMraVnMwBA7KN4ZOXlGLk1hBBCDKlWBVPJyckAADc3N7X1bm5u/LayHj9+DLlcrnWf5ORkiMViODg46FwvAKxatQpSqZRfPD09q3pKhBA9EwsFlS6EGJKzrQM8HF0BADcSaKgfIYSYM/pU8RwWLFiAjIwMfomLizN2kwip8wSV9EoJqGeK1AD/kt6pazTUjxBCzFqtCqZkMhkAlMuyl5KSwm8rq169ehAKhVr3kclkKCwsRHp6us71AoBEIoG9vb3aQggxLhrmR0xBywbKYOp6HPVMEUKIOatVwZSPjw9kMhmOHz/Or8vMzMT58+cRHByscR+xWIy2bduq7aNQKHD8+HF+n7Zt28LCwkKtTHR0NB4+fFhhvYQQ0yQScJUuhBiaKgkFpUcnhBDzZnLBVHZ2Nq5evYqrV68CUCaduHr1Kh4+fAiO4zBr1ix89NFH2LdvH65du4YxY8bAw8MDAwcO5Ovo2bMnvvnmG/7xnDlz8P333+Onn37CzZs3MWXKFOTk5GD8+PEAlEksJkyYgDlz5iAsLAyRkZEYP348goOD8eKLL9bk6RNCnpO2OaZUCzFdCQkJGDVqFJydnWFlZYWAgABcunQJAFBUVIR58+YhICAANjY28PDwwJgxY5CYmGjkVpenSo8enRSLwuIiI7eGEEKIoYiM3YCyLl26hO7du/OP58yZAwAYO3YstmzZgvfffx85OTmYNGkS0tPT0blzZxw6dAiWlpb8Pnfv3sXjx4/5x6+//joePXqExYsXIzk5Ga1bt8ahQ4fUklKsXbsWAoEAgwcPRkFBAUJDQ7Fu3boaOGNCiD4JOe1D+YQc9UyZqqdPn6JTp07o3r07Dh48CBcXF8TExMDR0REAkJubi8uXL2PRokV44YUX8PTpU8ycORMDBgzgAy5T4eXsDnsrW2TmZSMm+T5alkzkSwghxLxwjDFm7EaYi8zMTEilUiQlp5S7f0pRjcus6x4KLQV1+fNq2r+yvbQdUxNtI6vKbipbliv14bfcNg31afsgzSnkFawvLr+y9LVjivL7lF2noYzW9dpUNrGshu2sGvs826ZjgFHNCW81tS0zMxNu7h7IyMjQy/2Gqv+/BXsuwdLGtsJy+TnZWPVaO70dl+jP/PnzcebMGZw+fVrnfS5evIgOHTrgwYMH8PLyqrS86nlSE3//19ZMQUTMFXw5dhFeD+5r0GMRQgjRL13fL0yuZ8pcCarxbXh1AjDd6lV/zDSsLx2ElQ4FyjbpeYKq0pek9EdtVfCkKsuVPmiZQEmor04GDddaLcAqHRCpfi+9TvHsd52DrHIHVA84ygUgAkH5sqXKlL4UlQZWlRy7IlWu1wgqSzJBCShM1759+xAaGoqhQ4fi1KlTqF+/Pt555x1MnDixwn0yMjLAcVy5qS1UCgoKUFBQwD+uyfkA/T2bISLmijIJBd1+SwghZsn0PxkRQkgViEVcJfdMUTBlqu7du4f169ejadOmOHz4MKZMmYIZM2bgp59+0lg+Pz8f8+bNw4gRIyr81tCY8wE+S49OSSgIIcRcUTBFCDErlBq99lIoFGjTpg1WrlyJwMBATJo0CRMnTsSGDRvKlS0qKsKwYcPAGMP69esrrNOY8wGqgqnr8TE6DbkmhBBS+1AwRQgxKxRM1V7u7u5o0aKF2jo/Pz88fPhQbZ0qkHrw4AGOHj2qdSy7MecDbCprCLHIApl52Xj4JKnGjksIIaTmUDBFCDErgkoCKUEVg6lVq1ahffv2sLOzg6urKwYOHIjoaO3DtrZs2QKO49SW0hlHiWadOnUqd21v374Nb29v/rEqkIqJicGxY8fg7Oxc083UmVhkgebuPgCA63G3jdwaQgghhkDBFCHErFgIBJUuVXHq1ClMnToV586dw9GjR1FUVIRevXohJydH63729vZISkrilwcPHjzPadUJs2fPxrlz57By5UrcuXMH27dvx8aNGzF16lQAykBqyJAhuHTpErZt2wa5XI7k5GQkJyejsLDQyK3XrCV/3xQFU4QQYo4omx8hxKwIoT3Lo7CK9R06dEjt8ZYtW+Dq6orIyEh07dq1wv04joNMJqvi0eq29u3bY8+ePViwYAGWL18OHx8ffPHFFxg5ciQA5YS++/btAwC0bt1abd+wsDC89NJLNdziyj27b4qCKUIIMUcUTBFCzIqgkqF8qm1lU2RLJBJIJJJK68/IyAAAODk5aS2XnZ0Nb29vtaQKLVu2rLT+uq5fv37o16+fxm0NGzasdYkc/Bsog6ko6pkihBCzRMGUAXBc+TlQDfn+r+0WELkOx1XNFVV2binVQwVTblPNlvRsvfKXsodQVDwtFD8XkmreLY5TjjUtPbcUx9eoXKe3uaSeR+m5ouTK+ac4pig15xQDmOLZHFNl56XSNNdU2Tmbys4dxQlKlpILwATP5nnSNFKt0kl7jXghNbXNQHNWCTkOQi3nqtpWNkX2kiVLsHTpUq11KxQKzJo1C506dYK/v3+F5Zo3b45NmzahVatWyMjIwOrVq9GxY0dcv34dDRo00P1kSK3XskFTAEDi01Q8yU6Hs62DcRtECCFEryiYIoSYFZGAg4WWbxiKSrbFxcWpZXbTpVdq6tSpiIqKQnh4uNZywcHBCA5+Nktrx44d4efnh++++w4rVqyo9Di1yc2bN7Fjxw6cPn0aDx48QG5uLlxcXBAYGIjQ0FAMHjxYp2trruysbNDQpQHuP4rHjfgYdPFtb+wmEUII0SNKQEEIMSuqYX7aFgDl0mVX9oF/2rRp+PvvvxEWFlbl3iULCwsEBgbizp071T4vU3P58mWEhIQgMDAQ4eHhCAoKwqxZs7BixQqMGjUKjDF8+OGH8PDwwKeffoqCggJjN9lo+Ml7H9JQP0IIMTfUM0UIMSsCjuOHkVa0vSoYY5g+fTr27NmDkydPwsfHp8ptksvluHbtGvr06VPlfU3V4MGD8d5772H37t1wcHCosFxERAS+/PJLrFmzBh988EHNNdCE+Ddoir8vn6AkFIQQYoYomCKEmBUhV0k2vyreOjZ16lRs374df/75J+zs7JCcnAwAkEqlsLKyAgCMGTMG9evXx6pVqwAAy5cvx4svvogmTZogPT0d//vf//DgwQO89dZb1TonU3T79m1YWFhUWk415LGoqKgGWmWa/D2bA6D06IQQYo5omB8hxKxYCAWVLlWxfv16ZGRk4KWXXoK7uzu/7Ny5ky/z8OFDJCUl8Y+fPn2KiRMnws/PD3369EFmZibOnj2LFi1a6O08jU2XQKqoqAj//POPzuXNlb+nMgnFneQHyCvMN3JrCCGE6BP1TJkwXYcjKbSkCuQ01CEok39P9ah05j/G1LP8yZnyOAyq7H6AAqxMuZL2lMvvBwhQKnsfB3AcgwAcuJJeBEFJBkTGAGHJPS1MVY8xs9CplMrGx2fsU8ifZfBTFJf6XcFn9+PLa8nmx8pl8ePAhCJwJdn8mEBUsk3BZ0NkKLNP6XrKrNe6TtO+tZwhhvlV5uTJk2qP165di7Vr11bpOLVVfn4+Vq1ahZ07d+LBgwewt7dH586d8eGHH6J+/fro3r075HK5sZtpVG7SenC2c8STrKe4mXAXbXwoRT4hhJgLCqYIIWZF38P8SMVyc3PRvXt33LlzB2PHjkXTpk3x9OlTHDhwAEFBQVi2bJmxm2gSOI5DgGcznLxxHtfjYyiYIoQQM0LBFCHErHCV9Exp6q0l1bNy5Uqkp6fj9u3bcHZ25td/8MEH2L17N8aNG2e8xpmYlg2a4uSN87gWF23sphBCCNEjCqYIIWbFQsDBQkv3k7Y5qEjV7Ny5E5999plaIKUyZMgQ5OfnY9GiRUZomekJKElCcT0uxsgtIYQQok8UTNWQ6nwZrsOtGgC03wPCNNy/9OzOGyWu5EDCUh8yFQrG30ylgPJ+qWIFIGcMCqb8yRhQJGf8PVvykp+a7uFStVFY0msgFCiPZyFQ3jDFwCAEB3DPrpWqB6H0Z9+yn4Orev9LhTTUU/o+Ik7DvUkc5Pz9UpyiGCguUv6UF4EVFynvqQKgqOB+EU4oVP4iEisfC0qOIbRQ7isQ8vdOMeUOz9okKPnXreg+qUrOp9pqwb1VQo6DUMvzQts2UjVxcXF44YUXKtw+atQojBo1qgZbZLpaliShuJFwB3KFHEKB0MgtIoQQog+m/8mIEEKqQJWAQttC9MPR0RFxcXEVbj9x4gR69OhRgy0yXY1cPWEltkReYT7upVZ8zQghhNQuFEwRQsyKstdT+0L0o1evXvzcWmXduHEDo0ePxqlTp2q4VaZJKBCiRf0mAGioHyGEmBMa5mfCdP0CXdtwQE1DmriyQ/9UqchLVyTgoBrnx+RAMZTD+IoUDIXFDAVyOeQK5ZC+Z8P7lLvKFc/q0TTkz0IogIWAg0QkgLWFUNnGkmYKBc+GaAlLrXvW9udU0TA1TetLr2Ia/lUUxc9+l8vBFeWBFeaDFeRDUZjPD/MrX6+w5JAlw3xKhvdxJcP9IBCAk1iBEysnhGVC8bMU6SVlmKZhfqWGDVV5SF8tGL6nK5GAg4Wg4vMR0T1TerNs2TK0a9cOL730EubOnYsmTZogLS0Nf/31F9atW4eXX34Ze/bsMXYzTYa/ZzNExkbhWlw0BrZ/2djNIYQQogcUTBFCzIq+55kiFWvYsCHCw8Px9ttvY8CAAeA4DowxuLi4YOXKlRg8eDD++OMPYzfTZPh7NgMAXI+nnilCCDEXFEwRQsxKZUP5zH2Y3yeffILJkyfDwcGhRo7n6+uLU6dOISkpCffv34e9vT18fX0hFAqRn5+PzZs310g7aoOWDZRJKK7F3QZjjNL0E0KIGahSMKVQKHDq1CmcPn0aDx48QG5uLlxcXBAYGIiQkBB4enoaqp1EC23vx5qGAJb/Zr5kOF/p9QqmljpPzpTD93IK5cgtkqOgWAE50zyMr/Qwv6KS34vlCr4eIQcIBBxsxSK42XCwthBAyHEQC7mSIVrKfVXD+0q3tmzb9fVZRNOwuNJVM6FFqQ3qGfS4YgAogCIrHYrcLChyMsGKi55l5xMIwYlK7a8aqlf2eMJnw/64wnwIpQJAaAEmtOCH+PHD+1RD+jRkGayQGQ3l06Yu90xlZWVh4cKF6NatG4KDg2v02O7u7nB3d1dbZ2lpibFjx9ZoO0yZX/3GEHACPMl6ipSMx5A5uBi7SYQQQp6TTsFUXl4e1qxZg/Xr1yMtLQ2tW7eGh4cHrKyscOfOHezduxcTJ05Er169sHjxYrz44ouGbjfRkS6fGwUa7kTiBIDqDhwhp7x9KLsQSM0pRHZBsVpQJChzj5O8VJRQUKwMonKLlPcP5RfLUVisgFzBYCUWop61BWwsBHwQJRRwfGtU9dbIZ18NgYZacMIUz4qWrGcCIZhQDE4khgBA8ZNkFD9KgDy/EAILEQQWyn8vgZUNILZ8VpdCUXLIknqKi0oOIS/5qeC3cR5OYGJrZRAlEPLt1Bg41ZFgqTJ1JTV6YWEhDhw4gISEBMjlchQUFGD//v2oX78+Jk6ciDfeeAO2trYQCoVwd3dHnz59YGlpWXnFOurduzeWLl1a6et9VlYW1q1bB1tbW0ydOlVvx6+NrMSWaCLzxu2kWFyLu03BFCGEmAGdgqlmzZohODgY33//PV5++WVYWFiUK/PgwQNs374dw4cPx4cffoiJEyfqvbHEMDR9tiz9gVMk4CARAXYSITaeewBXewmk1hawEAhgIeRgWTJuSqHhxv6iksAhv1gZKGTkFiE9twjZBcVISs/DpLYeBjijirHqfpDmSiV3QNn5Yawht3LA1U+2ol5zF1i5OsLS2R4WNsoEEhYCoVpyCFXiCT54UgVTBXnKn4X5KMrKRfqpc3Bb9l312lsLVPtvUQmO0x6Am0kshTFjxmD37t2QyWSwsLCAhYUFmjVrhrCwMCxfvhxbt25FQUEB5HI5UlJSEBAQgEuXLunt+EOHDsXgwYMhlUrRv39/tGvXDh4eHrC0tMTTp09x48YNhIeH48CBA+jbty/+97//6e3YtVmAZzPcTorF9bjbeDmgk7GbQwgh5DnpFEwdOXIEfn5+Wst4e3tjwYIFmDt3Lh4+fKiXxtVWHMeZ7Vj4hg4SWFoIYGvBQSRUDs0TlwRRgpKfilLD/CxUE++ykt4rhQBChRBWAgYxJGZ1nZxfDIDQSgxmaw0mtYPCSgIAkFtbgrOy4ctxFhK1/Zi8JCugUNlroBAXQgEbWPvamdX1KctQ51YyD7TW7ebgyJEjOHjwIF5+uXxWuC1btqg9vnv3Lpo1a4a0tDQ4OTnp5fgTJkzAqFGjsGvXLuzcuRMbN25ERkYGAOXftkWLFggNDcXFixcrff+oS1o2aIbfLxxGFCWhIIQQs6BTMFWVN0ILCws0bty42g0ipk11H5OcsQqfPILSn1YV6ttKOqo03mtV23GlUswzRalhgYKyPVm61kfD9qqjrvRMOTo6onXr1jqVbdy4MZo3b47c3Fy9BVMAIJFIMGrUKIwaNQoAkJGRgby8PDg7O2scwUCAAC9lRr+ouNtGbgkhhBB9qFY2v/z8fPz3339ITU2FQqH+aXnAgAF6aRgxTUVyBQSlPuSXvplf9XvpQOnZ/VSq3ivldoWCoaCognmYaqniQuX5CC2VPU9qwVDpgKqie5tKlVco5FAUm9f1qSmCSu6ZMpcEFHfv3q1S+Rs3bhioJc9IpVJIpVKDH6c2a9lAGUzdfxSPrLwc2JXqtSaEEFL7VDmYOnToEMaMGYPHjx+X28ZxHORy+gBozjLyilBPKIGQ4yDiOAjA8T1RfChQOsAqSSchKrmvSliSaU3OGAoLimFOshKyYONqDbEUEIhEz8aTCUVqQ9rK9TiVbGOqpBMcBygY8tOyQB9Lq66uDPMjtZOTrRT1Hd2Q8DQF1+Nj8GLT1sZuEiGEkOdQ5WBq+vTpGDp0KBYvXgw3NzdDtKnWKy4uRnGxeQUKKimZ+XC1l0AsFEIkVN43JVL1OpV8SC0dKihKUvyJ5MqfEgshrMUK5BYKUVwgN6vrdCjqEfoH1YdAJIRQYgGhuGSYk0gElE6tXjaYUm0r6dHjFApAkI2kyDg4m9H1KctQf3sO0JCfUn27uenWrRsmTJiAoUOHwsrKytjNIZVo6dkUCU9TEBV/m4IpQgip5aocTKWkpGDOnDkUSJkTDbcvKcD41YwB+XKGJ7nF6O0vg4IxiAUCCATKQEokVAVTGob5lfyqKmMlVg53sxBxcLIR40pSDho7WcFCwEEkUMYZfGp0TR97n/OTMFele7U0l+VUadIZAxRycIoicPlZmLGkLwozsiEQW0BoJeETTXBCkXpvVElmQK6i2WM5DpauLmg1fRAE6fFg1o5gAgu1m4E0zylVu8KEqv0tdFcX55kKDAzE3LlzMX36dAwbNgwTJkygKSpMWMsGzXDkv3C6b4oQQsxAlYOpIUOG4OTJk5RkorbQ4fOqQjVpb+ndGFAyzy7kjKGomEHAcfCwtUR+sZzPKyFA+Q+nanfRCdV/EYCDpUgAqZUIYoEAYqEA+cUKyAXKoMyCcfx8VawkElObtJeV+SCst8/F5S8UV2puKbXZj0tSmnNMDq64ACgugqAwDxLPRrBwygQrKgREFuCEyn8vTigCJy6VwU8VCPHD+kp+8hP7WgGcAAJbKSAvBoryAaFcOYGvKhDjStpT6tpXOmlvLQu2qkuIZ3OeVbTd3HzxxRdYvXo19u3bh59++gldu3ZFkyZN8Oabb2L06NH05ZeJCfBU3jd1nYIpQgip9aocTH3zzTcYOnQoTp8+jYCAgHIZm2bMmKG3xhEdVfELfkWZHVSPSucSUTBlEAUAxQpADgYhB9hKhBCLOBTLGRQVHLd0/YKSGXxFJR/+LUXKD/wCKO+jshQJoACDXLljyU6cqiLlw1IxQtm2lwuugGrFDGqBk4qGAEpZtiSYKi5QBjuqxzb2EIrEYMWFZSoX8IGVstHqwVT5xgjBiUTgJNbKuZgUcnBQ/p1U010x1XmXnr+qVBirObDS9kQxn0CrsqkJzDXdvEgkwqBBgzBo0CCkpqZi48aNWLRoET744AP06dMHM2bMQI8ePYzdTAKgZUkwdSvxHgqLiyAWUeZDQgipraocTP366684cuQILC0tcfLkSfUb6zmOgikTUzb4AFAuCFLFDPLSsQNj/GPGGDgoP/tbgIOIE0IhUmXlezas79mxnj0nFMLyxxeUJK5Q3W8lAMe3QaFgKOZ3Vw+qgIrjD91VEFBoGnKmIYACAMiLSrYrlPsxBZhACIGVHSCxApMX8xPxasKnSi+XiKKk10kkAjghmECo7HliDGAMnKL42RXmJ/5Vq1jTr89OsdKeK/NQ1xNQXLhwAZs3b8aOHTvg6uqKcePGISEhAf369cM777yD1atXG/T4n3zyCSZPngwHBweDHqc283J2h72VLTLzshGTfB8tGzQ1dpMIIYRUU5U/XX344YdYtmwZMjIycP/+fcTGxvLLvXv3DNFGQgjRmerWMm2LuUlNTcWaNWvg7++PLl264NGjR/j1119x//59LFu2DD/88AOOHDmCDRs2GLQdWVlZWLhwIW7evGnQ49R2HMfxARTdN0UIIbVblXumCgsL8frrr6vNNUTURUVFwcZGD3OH6Dh8T1Pvk7YqFGUn0mXqPwHlsL7SE+zKmXJYH2Mlx2PK8qzUMfjeJS2JBQQcp/xAC/C9XcKSdUIof4pUqdZVmcVLffotm7NBUy+DtgQDGofzAeAU5VP6c4pS2ebkReXLyosBKJQ9WEyhXK9QlBxDUeqCVDBdgKqHim+v8uRUPVLKn4KScsrsHIzv1VL9fPYvzEoP1dM0UbCW66J7r5X+IpGcnBy91VWasJJ5prRtq60aNGiAxo0b480338S4cePg4uJSrkyrVq3Qvn17vR2zsLAQBw4cQEJCAuRyOQoKCrB//37Ur18fEydOxBtvvAFbW1sIhUK4u7ujT58+sLS01Nvxa7sAz+aIiLmCqLjbeD24r7GbQwghpJqqHEyNHTsWO3fuxAcffGCI9pgFf39/2NvbP39FNRRMPRvOV2pdqWBKGUipB1MlI89KHpepX0MwpTa5r+qnQPn5vnQwhVLBlNBUgyl+mJ+85CKUCqYYK/mpAH/1KwumoJpnShVcCdSDKa5kuJ9AWD6YKhUEqZJTqNdd+oRMK5jKzMzUW12l1cVhfsePH0eXLl20lrG3t0dYWJjejjlmzBjs3r0bMpkMFhYWsLCwQLNmzRAWFobly5dj69atKCgogFwuR0pKCgICAnDp0iW9Hb+2a+lJPVOEEGIOqhxMyeVyfPbZZzh8+DBatWpVLgHF559/rrfGkZrFKgjKSnLNARwD4wCOcWAAFJwyqOLKBGNag5lSQ60EJT1RpT/cGq2/syppulXnxwmUgRTHARCACZTBmippxLPi2vPHsbI9VBynDG5KgirlUubKqNprhoGBPtSVy5KamgpXV9cKA6ni4mJcvnwZHTp00Puxjxw5goMHD+Lll18ut23Lli1qj+/evYtmzZohLS0NTk5OWutNSEjAvHnzcPDgQeTm5qJJkybYvHkz2rVrB0B5D+eSJUvw/fffIz09HZ06dcL69evRtGntuu+Iz+gXH6O8L9UMe0wJIaQuqPJn12vXriEwMBACgQBRUVG4cuWK2lJTvv32WzRs2BCWlpYICgrChQsXtJbftWsXfH19YWlpiYCAABw4cEBtO2MMixcvhru7O6ysrBASEoKYmBhDngIhxABUPVPalurQ92uOPri7uyM1NZV/HBAQgLi4OP7xkydPEBwcrPfjAoCjoyNat26tU9nGjRujefPmyM3N1Vru6dOn6NSpEywsLHDw4EHcuHEDa9asgaOjI1/ms88+w1dffYUNGzbg/PnzsLGxQWhoKPLz85/ndGpcE1lDiEUWyMzLxsMnScZuDiGEkGqqcs+UPoeJVNfOnTsxZ84cbNiwAUFBQfjiiy8QGhqK6OhouLq6lit/9uxZjBgxAqtWrUK/fv2wfft2DBw4EJcvX4a/vz+AZ2/QP/30E3x8fLBo0SKEhobixo0btXqc//PMi/rsi1JlYm5VGnJFqR4qcKVuDdJhXKKqN0pVP1eyDpwysq9V386WDL0DK0lcznFgTKAc8ld6/qfK/ghlJ+JV9UhB8KxXqqqZEzQdszZd2+cgFHAQaomYtG2riCFec/Sh7HPr/v37KCoq0lpGX+7evVul8jdu3Ki0zKeffgpPT09s3ryZX+fj48P/zhjDF198gYULF+LVV18FAGzduhVubm7Yu3cvhg8fXqU2GZNYZIHm7j64FncbUXHR8K7nYewmEUIIqQa9jap68OABpk2bpq/qtPr8888xceJEjB8/Hi1atMCGDRtgbW2NTZs2aSz/5Zdfonfv3njvvffg5+eHFStWoE2bNvjmm28AlH+DbtWqFbZu3YrExETs3bu3Rs6JEKIfnA5LVen7Nacm1aYvKPbt24d27dph6NChcHV1RWBgIL7//nt+e2xsLJKTkxESEsKvk0qlCAoKQkREhDGa/Fz8PZsDAKLiaBQEIYTUVlXumerevbvGN+ekpCQkJSUZ/MNCYWEhIiMjsWDBAn6dQCBASEhIhW+mERERmDNnjtq60NBQPlCq7A26Nn3bqYuKJtvl1D5mPiukSg7BwKBASU8SA8CVJKNQzR+rSqRQqv6yT5Vnees4foWAL8updcBwpnTnS+meJk51Fxk/y3BJ552qh0qovFKlL4SmxBd8T1TZ8yzVI6XaXu5Clr82XKm/mWH6ImoHAcdpvW9P2zZNDPGaY44SExOxePFiREZGgjEGoVCINm3aYNmyZfDw0K3X5d69e1i/fj3mzJmDDz74ABcvXsSMGTMgFosxduxYJCcnAwDc3NzU9nNzc+O3lVVQUICCggL+saESn1THsyQU0UZuCSGEkOqqcjBVdoy8XC7HvXv3cOfOnXI3HRvC48ePIZfLNb6Z3rp1S+M+ycnJWt98q/MGDZj2mzQhdVVlIyJV28r+v0okEkgkknLlDfGaoy8cxyErKwuWlpZ8EoPs7Gz+3GryNWns2LGYP38+fvjhB37dsWPHMHbsWBw9elSnOhQKBdq1a4eVK1cCAAIDAxEVFYUNGzZg7Nix1WrXqlWrsGzZsmrta2ilk1AQQgipnaocTK1du1bj+h9++AHffPMNRo4c+dyNqi1M+U2akLqKU8g1provvR0APD091dYvWbIES5cuNWTT9I4xhmbNmqk9DgwMVHtcU8P88vPz0bNnT7V1ISEhVbqm7u7uaNGihdo6Pz8//P777wAAmUwGAEhJSYG7uztfJiUlpcJkGAsWLFDrJczMzCz3tzeWFvWVPVOJT1PxJDsdzrYOxm0QIYSQKqtyMFWRnj17Yvr06fqqrkL16tWDUChESkqK2vqUlBT+jbYsmUymtXx13qCBKr5JG3DcVVWrLnv/vVxDBQIAinIjy7hnadBLjiooNdhNI03zQJWqT/kTaj+fbddWsRGVDL9jQEnG+JIroBrvyBgAofrQPl0SQpROf17moqglp6gAq2xYpLZEBDpf6+o+kWvuj8kxRYXziam2A0BcXJzafHCaeqUAw7zm6IspJARSCQkJQb9+/dC/f384Ojri6dOn2Ldvn8bU6RXp1KkToqPVh7zdvn0b3t7eAJTJKGQyGY4fP86/NmdmZuL8+fOYMmWKxjor6nE0BXZWNvBxaYDYR/G4HncbXf30n8KeEEKIYektmDpx4gS6d++ur+oqJBaL0bZtWxw/fhwDBw4EoBwacvz48QoTYAQHB+P48eOYNWsWv+7o0aN8yuDqvEEDpv0mTUidxRSa71ErvR3KSWx1mVzbEK85+tKtWze91vc8lixZguvXr+P06dO4e/cunJyc8Nlnn6Fly5Y61zF79mx07NgRK1euxLBhw3DhwgVs3LgRGzduBKD8AmbWrFn46KOP0LRpUz7zqoeHB/+3qW1aejZD7KN4RMXFUDBFCCG1UJWDqUGDBpVbl5KSgvPnz6N79+5q2//444/na10F5syZg7Fjx6Jdu3bo0KEDvvjiC+Tk5GD8+PEAgDFjxqB+/fpYtWoVAGDmzJno1q0b1qxZg759+2LHjh24dOmSWb9BE1JnMaa9F64aqcL1/ZpjLuLi4tR641u2bKkWPBUVFeGff/5B165ddaqvffv22LNnDxYsWIDly5fDx8cHX3zxhdrw8ffffx85OTmYNGkS0tPT0blzZxw6dKjWTmER4NkMf18+QUkoCCGklqpyMCWVSjWuKz1u39Bef/11PHr0CIsXL0ZycjJat26NQ4cO8Td8P3z4EALBs+FQHTt2xPbt27Fw4UJ88MEHaNq0Kfbu3as234spvkHrMm+TPnDlflFm0uNKJ6NTPeBQMqzvWWFBFZpZdmRb6UFrqux9z7L5lZSpiRFiGsYUMvZsHSco9a9SZlgfY4Ly2wCtQ800YWWH8Gkc9qelzHPQta3l2miClPdMFWvdXlWGeM15XhMmTMAXX3wBOzs7ncq/8847WL58OerVq6e3NjRs2BADBgzAL7/8Ahsbm3Lb09LS0L17d8jlul/zfv36oV+/fhVu5zgOy5cvx/Lly6vVZlPTsoHyvTOKklAQQkitxDFDzehYB2VmZkIqlSIhMbH88KFqXGVdgyltpTT9dcuuU/D3QVVcjpXaWvZjd1WeQc8bTJXbX9M9WVputqooaND4AbvUutJpx58FU6qfmlOg13QwpXbPlKagR5cUd1Vto87K15+ZmQmP+vWRkZGh03C7yqj+/x49uAN7+4oDjMzMLLh4N9HbcY3F1tYWZ8+eRatWrSotm5WVBUdHR8THx+v1vi2BQAAPDw84ODhg3759aNSokdp21X2oCkXV/hcMSfU8MZW/f3L6I7Se3x8CToA7X56Atbh29rARQoi50fX9QqeeqZrMCEUIIc9Fx3umars2bdqgT58+aNOmDUQiESwsLODn54d58+Zh06ZNOHPmDPLz86FQKHDjxg3IZDK9J8DgOA7Hjx/HzJkz0b59e+zcuVNtvj5VGVIxN2k9uNg74VFmGvZePII3Og0wdpMIIYRUgU5fM7ds2RI7duxAYWGh1nIxMTGYMmUKPvnkE700jhBCqkwVTGlbzMC2bdswfvx4uLi4QCqVQiAQ4IcffkD37t3x4YcforCwEFKpFPXq1cOwYcNw4sQJvbeBMQZHR0ccPHgQEyZMQJ8+fSqcPoNoxnEcJvVUTgy/8Le1uJfy0MgtIoQQUhU69Ux9/fXXmDdvHt555x28/PLLaNeuHTw8PGBpaYmnT5/ixo0bCA8Px/Xr1zFt2jStGfAIIcSQOEUxOLm2e6Yq3labeHp6YsWKFWrrHj58iIYNG+Lvv/9Gnz59aqwtHMfhs88+Q2BgIN566y38+++/Zpdsw5DeeXkkTkRFICLmCt7ZtBR/vb8RFkK9JdslhBBiQDq9Wvfs2ROXLl1CeHg4du7ciW3btuHBgwfIy8tDvXr1EBgYiDFjxmDkyJFwdHQ0dJtJFegywkZT96SCld23JNmCpvLVHMWjaTdt90dpWifQ1/xFGg9W+n4ktQ0lP4Tq91LxhRUa9qluuzR3HmucU0rTPVZ1UR0Z5qeJl5cXQkNDtc6PZ0gjRoxA8+bNMWjQIHTt2hXr1q0zSjtqG6FAiG/GL0XPj0bj6oMb+N9f3+ODgfSlJCGE1AZV+uqrc+fO6Ny5s6HaQgghz88AqdFrk4MHDxr1+G3atMHFixcxZMiQcvdPkYrVd3LD6lHz8dbGD/D14a3o6tcBnZu3NXazCCGEVML08xwTQkhV1JF7pkyBt7c3hEJhufUuLi44fvw4RowYAUoYq7t+bXrgjU79wRjD9M1L8TQnw9hNIoQQUgkKpgghZkU1z1TFS9XnmaoNTp8+jVGjRiE4OBgJCQkAgJ9//hnh4eEGO2ZsbCycnZ01bhOJRPj2229NKi16bbBi6Gw0cvVEUvojzP3lEwpGCSHExFEwRQgxL3WwZ+r3339HaGgorKyscOXKFRQUFAAAMjIysHLlSiO3jlSFjaU11k1YDpFAiP1XwvDr2b+M3SRCCCFaUDBlCEzDYkCclkVjeU59EQjKL8IKFpE+F2H5Ra0dXPlFCE5t0dfVYpyg3KLxwggEgEDIL0wg0rBY6G/hhBqX0m3gl9J/VF3+8JWV1ytN/xQG+seog8HURx99hA0bNuD777+HhYUFv75Tp064fPmyQY45YcIEZGVl6Vz+nXfewePHjw3SFnPT2tsP81+dDAD4cOfnuJP8wMgtIoQQUhEKpgghZoWTF1e6mJvo6Gh07dq13HqpVIr09HSDHHPnzp2IjY3VqWxWVhY2btyI4mLzu/aG8s7LI9G5eTvkFebjnU1LUFhcZOwmEUII0aDKE1n06NED3bp1w5IlS9TWP336FIMHDzbIxJCEEKKzOpjNTyaT4c6dO2jYsKHa+vDwcDRq1Mggx2zTpg369OmDNm3aQCQSwcLCAn5+fpg3bx42bdqEM2fOID8/HwqFAjdu3IBMJoNMJjNIW8yRQCDA1+MWo8dHo/Dfw1v4dN93WDRomrGbRQghpIwqB1MnT57EtWvXcOXKFWzbtg02NjYAgMLCQpw6dUrvDayNcvPyIBQ9/4SLCiN+6FPUwKEF1RhdJtBhSJq2IlxF11TT0K+qlFUvUMl2fajGxatgzqqq1aG/IYF5ubl6q0tNHZxnauLEiZg5cyY2bdoEjuOQmJiIiIgIvPvuu1i8eLFBjrlt2zZs3LgRiYmJUCgUyM/Pxw8//IBDhw7h1q1bCAkJgVQqhVAoxLBhwzBmzBiDtMOcuTu6Ys2oD/Dmd/Ox7ug2dG/xIjr7tjN2swghhJRSrU/8x44dw9tvv40XX3wRf/31V7lvQwkhxFg4pgCnJWDStq22mj9/PhQKBXr27Inc3Fx07doVEokE7733Ht566y2DHNPT0xMrVqxQW/fw4UM0bNgQf//9N/r06WOQ49Y1fQJfwuguA/Hz6b2YtnkZTiz6BU62UmM3ixBCSIlqfVXt7u6OU6dOISAgAO3bt8fJkyf13CxCCKkmhRxQFGtZzC81Osdx+PDDD5GWloaoqCicO3cOjx49glQqhY+PT421w8vLC6GhoWjdunWNHbMuWDpkJpq4eSM54xHm/rKS0qUTQogJqXIwxZUM85FIJNi+fTtmzpyJ3r17Y926dXpvHCGEVBmTlwRUFSzMfIKpgoICLFiwAO3atUOnTp1w4MABtGjRAtevX0fz5s3x5ZdfYvbs2TXapoMHD8LDw6NGj2nubCRWWD9hOSyEIhy4egrbwv80dpMIIYSUqHIwVfYbsYULF2Lbtm1Ys2aN3hpFCCHVxRSKShdzsXjxYqxfvx4NGzZEbGwshg4dikmTJmHt2rVYs2YNYmNjMW/ePGM3k+hBgFdzLHh1CgBg0W9rEZN837gNIoQQAqAawVRsbCxcXFzU1g0ePBjnz5/Hpk2b9NYwYlya5njS96J7Wzh+KcugUyZVVCknqGQRQvvsX/pYNLW3knbVFdp6pVSLmdi1axe2bt2K3bt348iRI5DL5SguLsa///6L4cOHQygU1lhbTp8+jVGjRiE4OBgJCQkAgJ9//hnh4eE11gZzNzlkBLr6tkdeUQHe+XExCooKjd0kQgip86r8Ccvb25sf6lday5YtMXbsWL00ihBCqosVFVa6mIv4+Hi0bdsWAODv7w+JRILZs2drfI02pN9//x2hoaGwsrLClStXUFBQAADIyMjAypUra7Qt5kwgEOCrcYvhZCPFtbjb+GTfd8ZuEiGE1Hl16OtqQkidoFBUvpgJuVwOsVjMPxaJRLC1ta3xdnz00UfYsGEDvv/+e1hYWPDrO3XqhMuXL9d4e8yZzMEFa8d8CABYf3Qb/rl5wcgtIoSQuu35J0MihBBTolBoH8pnRsEUYwzjxo2DRCIBAOTn52Py5Mn8/H8qf/zxh0HbER0dja5du5ZbL5VKkZ6ebtBj10WhL3TFmK6vYes/ezB9y3KcWPQLnG0djN0sQgipk6hnihBiVphCXuliLsaOHQtXV1dIpVJIpVKMGjUKHh4e/GPVYmgymQx37twptz48PByNGjUy+PHroqVDZqKprCFSMh5jztaPKV06IYQYCfVMEULMCpMXgRUXad1uLjZv3mzsJgAAJk6ciJkzZ2LTpk3gOA6JiYmIiIjA3LlzsWjRImM3zyxZiy2xfsJy9Pl0Ag7/dxpbT+/B2K6DjN0sQgipcyiYIoSYl8oy9plRz5SpmD9/PhQKBXr27Inc3Fx07doVEokEc+fOxfTp043dPLPl79kMHw58B0t2f4mlu75EcNNANHOvuUmaCSGE0DA/Qoi5qUMJKEwFx3H48MMPkZaWhqioKJw7dw6PHj3CihUrkJeXZ+zmmbWJPV7HSy2CkFdUgCmULp0QQmocBVOEELPC5PJKF2IYYrEYLVq0QIcOHWBhYYHPP/8cPj7UU2JIAoEAX45dBCdbB1yPj8HKP9cbu0mEEFKnUDBFCDEvxUVAcaGWxTD3TN2/fx8TJkyAj48PrKys0LhxYyxZsgSFhdp7Cl566SVwHKe2TJ482SBt1LeCggIsWLAA7dq1Q8eOHbF3714Aynu5fHx8sHbtWsyePdu4jawD3KT18MWYhQCA7479ipM3zhu5RYQQUnfQPVMmTKDjxJuKWpbFSdfz0sRgc5FyGr5XYKWGg1X5wLXse4oanuTVkJhCAaZlKJ+2bc/j1q1bUCgU+O6779CkSRNERUVh4sSJyMnJwerVq7XuO3HiRCxfvpx/bG1tbZA26tvixYvx3XffISQkBGfPnsXQoUMxfvx4nDt3Dp9//jmGDh0KoVBo7GbWCb1adcb4bkOw+dRuTN28FJvf/gQdmrxg7GYRQojZo2CKEGJejJSAonfv3ujduzf/uFGjRoiOjsb69esrDaasra0hk8kM0i5D2rVrF7Zu3YoBAwYgKioKrVq1QnFxMf79919wZhSg1xaLB0/Dhbv/4np8DF77/B28338ipoeOgUBQy77cIYSQWoReYQkh5oXJnwVUmhZWc/dMZWRkwMnJqdJy27ZtQ7169eDv748FCxYgNze3Blr3/OLj49G2bVsAgL+/PyQSCWbPnk2BlJFYiS3x59wNGNS+F+QKOVb9uQHDv5qJ1Iwnxm4aIYSYLeqZIoSYFVZcrH2eqeJiAEBmZqbaeolEAolEord23LlzB19//XWlvVJvvPEGvL294eHhgf/++w/z5s1DdHQ0/vjjD721xVDkcjnEYjH/WCQSwdbW1ogtIraWNvj2zWXo4tcBH+xYjX9uXUSPj0bh2/FL0a1FkLGbRwghZoeCKUKIedFxmJ+np6fa6iVLlmDp0qXlis+fPx+ffvqp1kPevHkTvr6+/OOEhAT07t0bQ4cOxcSJE7XuO2nSJP73gIAAuLu7o2fPnrh79y4aN26sdV9jY4xh3LhxfBCan5+PyZMnw8bGRq1cbQgMzQnHcRjRsR/a+rTE2z8sxM2Euxj+9SxMDx2D9/pPhIWQ3voJIURfaJgfIcSs6JoaPS4uDhkZGfyyYMECjfW9++67uHnzptalUaNGfPnExER0794dHTt2xMaNG6vc/qAgZe/BnTt3qnH2NWvs2LFwdXWFVCqFVCrFqFGj4OHhwT9WLbpaunRpucyGpYPU5ORkjB49GjKZDDY2NmjTpg1+//13Q5yaWWjm7oMD837EmK6vgTGGrw79hEFrpiDuSZKxm0YIIWaDvp4ihJiXyibmLdlmb28Pe3v7SqtzcXGBi4uLTodOSEhA9+7d0bZtW2zevLlaN/5fvXoVAODu7l7lfWva5s2b9V5ny5YtcezYMf6xSPTsbWrMmDFIT0/Hvn37UK9ePWzfvh3Dhg3DpUuXEBgYqPe2mAMrsSU+e2MeOjdvh3d/XomL964h5OMx+GLMQrzSupuxm0cIIbUe9UwRQswKKy6sdDGEhIQEvPTSS/Dy8sLq1avx6NEjJCcnIzk5Wa2Mr68vLly4AAC4e/cuVqxYgcjISNy/fx/79u3DmDFj0LVrV7Rq1cog7TR1IpEIMpmMX+rVq8dvO3v2LKZPn44OHTqgUaNGWLhwIRwcHBAZGWnEFtcOA9r2xLGFPyOwYQtk5GZh/IZ5+GDHauQXFRi7aYQQUqtRMEUIMSuqeaa0LYZw9OhR3LlzB8ePH0eDBg3g7u7OLypFRUWIjo7ms/WJxWIcO3YMvXr1gq+vL959910MHjwYf/31l0HaWBvExMTAw8MDjRo1wsiRI/Hw4UN+W8eOHbFz506kpaVBoVBgx44dyM/Px0svvVRhfQUFBcjMzFRb6irveh74c+53mPLySADAppO70e+zibib8rCSPQkhhFSEY6yWzfhqwjIzMyGVShFz5y7s7Oxq7Lg0aW8V9q/KtWLP8aG7lv1NjDFpb1ZWFho3bYaMjAydhttVRvX/F79hPuytKs7Kl5lXgAaTP9HbcYn+HDx4ENnZ2WjevDmSkpKwbNkyJCQkICoqCnZ2dkhPT8frr7+OI0eOQCQSwdraGrt27UKvXr0qrHPp0qVYtmxZufV1/e9/POospm9ZjrTsdFhLrPDpiPcx9MVXjN0sQggxGarPFZW9X1DPFCHErDC5otKFmKZXXnkFQ4cORatWrRAaGooDBw4gPT0dv/32GwBg0aJFSE9Px7Fjx3Dp0iXMmTMHw4YNw7Vr1yqsc8GCBWqJRuLi4mrqdExaT/+OOLHwZ3Rq3ha5BXmYvmUZZmxZjpz82jHHGSGEmApKQEEIMSuKomIoREKt20nt4ODggGbNmuHOnTu4e/cuvvnmG0RFRaFly5YAgBdeeAGnT5/Gt99+iw0bNmisQ9/zh5kTmYMLfpv5Fb48+BNW//0Dfjt3AJdjr+O7iR+hZYOmxm4eIYTUCtQzRQgxK9QzZT6ys7Nx9+5duLu78/eZlc2QKBQKoTDQfXB1gVAgxJy+b+L3Od/C3cEFd1IeoM8nE7D55G7QXQCEEFI5CqYIIWaFyeVQaFlU80wR0zN37lycOnUK9+/fx9mzZ/Haa69BKBRixIgR8PX1RZMmTfD222/jwoULuHv3LtasWYOjR49i4MCBxm56rRfcNBDHFv6MlwM6oaC4EAt2rMZbGz9ARm6WsZtGCCEmzaSCqT/++AO9evWCs7MzOI7j51spLT8/H1OnToWzszNsbW0xePBgpKSkaK2XMYbFixfD3d0dVlZWCAkJQUxMjFqZtLQ0jBw5Evb29nBwcMCECROQnZ2tz9MzGAHH1apFG47TvtQoTlD5UuG+lZyIqS1mhLFKsvk9T2IRYlDx8fEYMWIEmjdvjmHDhsHZ2Rnnzp2Di4sLLCwscODAAbi4uKB///5o1aoVtm7dip9++gl9+vQxdtPNgrOtA7a+sxrLhsyEhVCE/VfC0GXpcKw/uo3upSKEkAqYVDCVk5ODzp0749NPP62wzOzZs/HXX39h165dOHXqFBITEzFo0CCt9X722Wf46quvsGHDBpw/fx42NjYIDQ1Ffn4+X2bkyJG4fv06jh49ir///hv//PMPJk2apLdzI4TUDEVhcaULMU07duxAYmIiCgoKEB8fjx07dqBx48b89qZNm+L3339HSkoKcnJy8O+//2L06NFGbLH54TgOb4eMwF/vfw8flwZIzXyCZb9/jXYfDsSa/T8iPafuppYnhBBNTDI1+v379+Hj44MrV66gdevW/PqMjAy4uLhg+/btGDJkCADg1q1b8PPzQ0REBF588cVydTHG4OHhgXfffRdz587l63Fzc8OWLVswfPhw3Lx5Ey1atMDFixfRrl07AMChQ4fQp08fxMfHw8PDQ6d2Gys1ujkxdCdJlVKj64J6OarNUKnRY5ZNgp2luOLj5hei6ZKNdT41dl2la6pbAhQWF2H3+YP4+tBWxD6KBwDYSKwxrtsgvN1zBFylzkZuISGEGI5ZpkaPjIxEUVERQkJC+HW+vr7w8vJCRESExn1iY2ORnJysto9UKkVQUBC/T0REBBwcHPhACgBCQkIgEAhw/vx5A50NIcQQFHJFpQshpHJikQXe6DQA4ct2YsNbK9CifhPkFOTi2yO/oP2Hr2H+r/9D3JMkYzeTEEKMqlYFU8nJyRCLxXBwcFBb7+bmhuTk5Ar3UZWpaJ/k5GS4urqqbReJRHBycqqwXgAoKChAZmam2kIIMS7K5keIfgkFQgxs9zKOL/wZW99ZjbY+/igoLsSWU78jeNEQzNiyHLeTYo3dTEIIMQqjBVPbtm2Dra0tv5w+fdpYTam2VatWQSqV8ounp6exm0RInacoLlbONVXRUkz3TBFSHRzHoVerzvj7/e/x++xv0c2vA4oVcvx27gC6LX8DE75bgH8f3DJ2MwkhpEYZLZgaMGAArl69yi+lh9hVRCaTobCwEOnp6WrrU1JSIJPJKtxHVaaifWQyGVJTU9W2FxcXIy0trcJ6AWDBggXIyMjgl7i4uErPgRBiWNQzRYhhcRyHTs3bYufMr3Bw/ib0ad0NjDHsvxKG0FXjMOKrWTgXc9XYzSSEkBphtGDKzs4OTZo04RcrK6tK92nbti0sLCxw/Phxfl10dDQePnyI4OBgjfv4+PhAJpOp7ZOZmYnz58/z+wQHByM9PR2RkZF8mRMnTkChUCAoKKjC9kgkEtjb26sthBDjomCKkJoT2LAFNk3+FCcXb8eQoN4QCoQIu3EOA9dMxqur38bxqLM0+S8hxKyZ1D1TaWlpuHr1Km7cuAFAGShdvXqVv29JKpViwoQJmDNnDsLCwhAZGYnx48cjODhYLZOfr68v9uzZA0D5DdqsWbPw0UcfYd++fbh27RrGjBkDDw8PfqJHPz8/9O7dGxMnTsSFCxdw5swZTJs2DcOHD9c5kx8hxDQoFIpKF0KIfvl6NMI345fi7LLfMKbLaxCLLHD+zr8Y+c0c9Fo5Fn9FnoBcQRNmE0LMj8jYDSht3759GD9+PP94+PDhAIAlS5Zg6dKlAIC1a9dCIBBg8ODBKCgoQGhoKNatW6dWT3R0NDIyMvjH77//PnJycjBp0iSkp6ejc+fOOHToECwtLfky27Ztw7Rp09CzZ0++/q+++sqAZ0sIMQRFYTEUWnLs0zxThBiOt0t9fDZyHub0fRMbjv2Kraf34FrcbUz8/gM0cJJhYPuX8WrbEPh7NgNnZhOGE0LqJpOcZ6q2onmmnh/NM1V3GGqeqStvD4KdxKLi4xYUIfC7P2ieoTqK5pmqWWnZGfgx7Df8GLYL6bnPMt42dvPCq+2UgVVzDx8jtpAQQjTT9f3CpHqmCCHkeTGF9vuiGA3zI6TGONlK8V7/iZgWOhrHo85i76VjOHbtDO6mPMTn+3/E5/t/hF/9xhjY7mW82i4EDV0aGLvJhBBSJRRMEULMS2VJJigBBSE1zkpsiX5teqBfmx7Izs/Bkf/CsffSUYRdP4ebCXdxM+EuVv25AS94+2FguxAMaBuC+k5ulVdMCCFGRsEUIcSsyIuKIdcyXlReRPdMEWJMtpY2GNQhFIM6hCI9JxMHrp7CvshjOH3rEv59cBP/PriJZb9/jQ6NW+HVdi+jf5secJU6G7vZhBCiEQVThBCzUln6c0qNTojpcLCxxxud+uONTv3xKDMN+6+EYe+lYzh/5you3P0PF+7+h0W/rUXHZm0wsF0I+gR2h5Ot1NjNJoQQHgVThBCzwuQMTF5xohFt2wghxuNi74Rx3QZjXLfBSHqair8un8DeS0dxOfY6wqMvITz6Eub/+j909euAV1p3Q1ff9vB2qW/sZhNC6jgKpgghZkWhUEChpfeJ5pkixPS5O7piUs/hmNRzOB48TsS+yGP489IxRMXdxonrEThxPQIA4Onsji6+7dDFtz06N28LF3saDkgIqVkUTBFCzIq8iEGOigMmeRH1TBFSm3jX88D00DGYHjoGd5IfYF/kcZy6eR6R96IQ9yQJ28/8he1n/gIA+Ho0Lgmu2iG4aRvYWdkYufWEEHNHwRQhxKwwuQJMQPdMEWKOmsi8Mafvm5jT903k5Ofi3J2rOH1LOQQwKu42biXexa3Eu/j+xE4IBUK09vZDV7/26Ny8Hdo1CoDEQmzsUyCEmBkKpgghZoXJGZiA7pkixNzZWFqjp39H9PTvCAB4kp2OM9GRCL91CadvXUTso3hExkYhMjYKaw9shpWFBB2avIDOJcMCAzybQSgQGvksCCG1HQVTBsBxyoXUAZzA2C2ovQx07RRyBoWWYEpBwRQhZsnZ1gED2vbEgLY9AQBxT5IQHh2J0zcvIDw6EqmZT3Dq5gWcunkBAOBgbY+OzQIR1KQ1Wjf0Q4CXL6zFlsY8BUJILUTBFCHErMiL5ZBDyzxTxXKDHbthw4Z48OCB2rpVq1Zh/vz5Fe6Tn5+Pd999Fzt27EBBQQFCQ0Oxbt06uLnRhKWEPA9PZ3eM6NgPIzr2A2MM0UmxCL91EadvXcLZ25eRnquc4+rA1VMAAKFAiObuPghs2AKtG7ZAYMMWaO7RCBZC+qhECKkYvUIQQsyLnIFxWnqfDNwztXz5ckycOJF/bGdnp7X87NmzsX//fuzatQtSqRTTpk3DoEGDcObMGYO2k5C6hOM4+Ho0gq9HI7zV43UUy4vx38NbCI+OxOXY67hy/wZSMh7jRsId3Ei4g21n9gEALC0kCPBsxgdXrb394OPqCY6GnxBCSlAwRQgxKwq5AgpOS2p0AyegsLOzg0wm06lsRkYGfvzxR2zfvh09evQAAGzevBl+fn44d+4cXnzxRUM2lZA6SyQUoY2PP9r4+PPrkp6m4uqDm7hy/wau3r+Bqw9uIjMvGxfvXcPFe9f4cg7W9njB27ckuGqBQJ8WcJPWM8ZpEEJMAAVThBCzwirpmTJ0AopPPvkEK1asgJeXF9544w3Mnj0bIpHml9rIyEgUFRUhJCSEX+fr6wsvLy9ERERQMEVIDXJ3dIW7oytead0NgHJOuthH8bhy/zqu3lcGWVFxt5Gem6l27xUAuDu4oLV3C7T0bAq/+o3h69EYDV3qU4ILQuoACqYIIWZFXiiHXFH5PVOZmZlq6yUSCSQSyXMde8aMGWjTpg2cnJxw9uxZLFiwAElJSfj88881lk9OToZYLIaDg4Paejc3NyQnJz9XWwghz0cgEKCxmxcau3lhSNArAIDC4iLcSrzLB1dX7t/A7aRYJKU/QlL6KRz89xS/v0QkRjP3hmju0bhkiGFj+NZvhPqObjRMkBAzQsEUIcSsMMbAFFp6pphym6enp9r6JUuWYOnSpeXKz58/H59++qnWY968eRO+vr6YM2cOv65Vq1YQi8V4++23sWrVqucO1AghxicWWaCVly9aefliTNfXAAA5+bn4Ly4a/z64iZsJd3Er8R5uJ95DXlEBrsXdxrW422p12FpaKwOrknu4fD0ao7lHI7jYOxnjlAghz4mCKUKIWVHIGRSoPDV6XFwc7O3t+fUVBTvvvvsuxo0bp/WYjRo10rg+KCgIxcXFuH//Ppo3b15uu0wmQ2FhIdLT09V6p1JSUnS+74oQYlw2ltYIbhqI4KaB/DqFQoGHTxJxK+FeyUTC93Ar8R7uJN9Hdn4uLt27hkul7sMCAGc7R7UAq7GbFxq5esJNWo96sggxYRRMEULMCpMzMFScZEJ1z5S9vb1aMFURFxcXuLi4VKstV69ehUAggKurq8btbdu2hYWFBY4fP47BgwcDAKKjo/Hw4UMEBwdX65iEEOMTCARo6NIADV0aoHfrrvz6wuIi3EuNw63Eu4hOvMf3ZD14nIAnWU9xJjoSZ6Ij1eqyllihkasnfFw80ci1AXxcPdHYzQs+rp5wtnWgQIsQI6NgihBiVuSFCsiFWu6ZMlA2v4iICJw/fx7du3eHnZ0dIiIiMHv2bIwaNQqOjo4AgISEBPTs2RNbt25Fhw4dIJVKMWHCBMyZMwdOTk6wt7fH9OnTERwcTMknCDFDYpEF3/tUWk5BHmKS7+NWSXAVnXgP91LjEPckCbkFeYiKu42oMsMFAcDeyhY+rp5oVGpRPXawqfzLIkLI86NgihBiVphCAablm1qmMEwwJZFIsGPHDixduhQFBQXw8fHB7Nmz1e6jKioqQnR0NHJzc/l1a9euhUAgwODBg9Um7SWE1B02Eiu09vZDa28/tfWFxUV4+DgR91If4l5qHO6lxiE2NQ73UuOR+DQFmXnZ+PfBTfz74Ga5Op1spGhU0oPl5ewOz1KLh6MrRDQZMSF6wTHV3djkuWVmZkIqleLO3buVTtRJjIOjp7vJyMrKQuMmTZCRkaHTcLvKqP7/fm/UCjbCitMR58jlGHzvP70dl9QuqucJ/f1JbZdXmI/7jxJKgqu4Uj/jkZzxSOu+QoEQ7g4uaFAmyCodbFlQsEXqOF3fL+g/hRBiVpiCgWlJQKEt0x8hhNQWVmJL+NVvDL/6jctty8nPReyjeNxLjcP9R/GIe5LEL/FPklFQXIj4tGTEpyXjXMyVcvsLOAHcHV354KqBk6zkdxk8HN3g7ugKa7FlTZwmISaPgilCiFlRFMohF2jZrpDXXGNIlSxduhTLli1TW9e8eXPcunWLfxwREYEPP/wQ58+fh1AoROvWrXH48GFYWVnVdHMJMVk2ltbw92wGf89m5bYpFAo8ykpTC7BKB1pxT5JQUFyIhLRkJFQQbAGAg7U93B1d4O7gCo+SCY/dHVzh7uACd0flOjtLG0qQQcweBVOEELPC5AzaRi9Tz5Rpa9myJY4dO8Y/FomevU1FRESgd+/eWLBgAb7++muIRCL8+++/EAi0RM+EEDUCgQBu0npwk9ZDu0YB5bYrFAo8znqqMdiKe5KExPRU5BbkIT03E+m5mbiZcLfCY9lIrOFREnApgy0XtaDLTVoPznYOEAoqHppNiKmjYIoQYlYUjEGhJZjSto0Yn0gkqnCOrdmzZ2PGjBmYP38+v07T/F2EkOoTCARwlTrDVeqMto38y21njCErPweJT1OR9DQVSemppX5/hKT0VCQ9fYT03EzkFOQiJvkBYpIfVHg8oUCIenaOcLV3gqu0HtykznC1dy73u6u9E6xoaCExQRRMEULMipwxyLUETNq2EeOLiYmBh4cHLC0tERwcjFWrVsHLywupqak4f/48Ro4ciY4dO+Lu3bvw9fXFxx9/jM6dOxu72YTUGRzHwd7KFvZWtuVSvJeWU5CH5PRHSHqaisT0UsFWqQDsSXY65Ao5UjIeIyXjMaAh/Xtp9la2ygBLWq8kyFIGW25SZ9Szc0I9O0fUs3OEs50jJdAgNYaeaYQQs1KoYBBpSUBRSMP8TFZQUBC2bNmC5s2bIykpCcuWLUOXLl0QFRWFe/fuAVDeV7V69Wq0bt0aW7duRc+ePREVFYWmTZtqrLOgoAAFBQX848zMzBo5F0LqOhuJFRq7eaGxm1eFZYrlxXic9RSpmU+QkvEEqRmPy/yehpSMx0jNeIKC4kJk5mUjMy9ba0+XioO1vVpwVa/Uov7YCQ7WdjRcmFQbBVOEELMiZ8pF23Ziml555RX+91atWiEoKAje3t747bff4OennH/n7bffxvjx4wEAgYGBOH78ODZt2oRVq1ZprHPVqlXlkloQQkyDSCiCzMEFMgcXreUYY8jMy1YGVplpGoKuJ3iSlY7HWU/53i7VPV13UioPvIQCIZxtHUoCLQc42TrAycYBTrZSONk6wNnWAY429sr1tsr1NOSQqFAwRQgxK4pKhvnRPVO1h4ODA5o1a4Y7d+6gR48eAIAWLVqolfHz88PDhw8rrGPBggVqEydnZmbC09PTMA0mhBgEx3GQWttBam2HZu4+WssqFAqk52bhcVYaHmc9LbOk4UmZdRm5WZAr5EjNfILUzCc6t8lKbFkSdKkHWcp1UjjaSuFs6wAHa3s42NjD0cYeNhJrym5ohiiYIoSYFTkq6ZmqsZaQ55WdnY27d+9i9OjRaNiwITw8PBAdHa1W5vbt22o9WmVJJBJIJBJDN5UQYiIEAkFJUCOtNPACgMLionIB1tOcDKRlpyMtJwNp2SW/8z/TUayQI68wn08fryuRQMgHVqogy8FGCseS36XWdsptJdtVv9tb2VLGQxNGwRQhxKwUKhiEnJZ7pqhnymTNnTsX/fv3h7e3NxITE7FkyRIIhUKMGDECHMfhvffew5IlS/DCCy+gdevW+Omnn3Dr1i3s3r3b2E0nhNRSYpGFMl27o6tO5RljyM7PRVp2Op6ogqycdDzNLh2ApeNJdgae5mQgPScTT3MyUFhchGKFnA/YqkKV9ENqbQeplS2k1vaQWisf21vZwcHaDvbWJT+t7OBgYwd7K1s4WNvD3toWlhb0hZIhUTBFCDErcqa994numTJd8fHxGDFiBJ48eQIXFxd07twZ586dg4uL8n6KWbNmIT8/H7Nnz0ZaWhpeeOEFHD16FI0bNzZyywkhdQXHcbCzsoGdlQ28XerrtA9jDHlFBUjPyUR6Tgae5ijv51IGWpp/T8/JxNPcTOQW5IExhozcLGTkZlWrzZYWkmfBmLUdn43R3soW9tbKn3aWNsqfVraQqtaVlLGVWFOCDi0omCKEmBU5Y5BryeZHqdFN144dOyotM3/+fLV5pgghxNRxHAdrsSWsxZbw0LEHTKWgqBDpuZl8MJWRm42M3Exk5GUjMzcL6blZyMzTtC0bGXlZYIwhv6gA+UUFVbonrGz7bSXWsLe2g73Vs6DL3tIGdla2yuDS0ga2lsog097SFrYl6+wsrWFnpdxmaSExy3vGKJgihJgVRSU9U5QZnRBCSG0hsRDDTVoPbtJ6Vd5XoVAguyAX6TmZyMzLRnpuFjJyM5GZl4OskjTzWXnZyCj5qUw9n1Pq92wUFhfxEzVn5ecg4TnORSQQ8oGVXUngVfp3G4k1bC2tSwIza9hYWsNWovxdtajKmFJgRsEUIcSsFCoYBHTPFCGEkDpOIBDww/mqK7+ooCS4ynkWfOVmIytfFYzlILsk0MrKy332e34OsvOe/c4YQ7FCjqclwxmfl1AgVAZYEmXQpQrAVAFXU/eGmB465rmPowsKpgghZkV5z5S2YX412BhCCCGkFrO0kMDSQgIXe+dq16FQKJBbmIeskuAqOz+H/z0rPxfZeTnIzM9Gdn4ucvKVAVl2QS6y85VLTpnfAUCukGu9j6xD41YUTBFCSHVQAgpCCCHEdAgEAtiW3FPl/px1lQ7MVAFXTkmglV2QwwddrtLqB39VRcEUIcSsUAIKQgghxDyVDsxMBQVThBCzUswYirQEU8UUTBFCCCFETyiYIoSYFRrmRwghhJCaYjIzcBUVFWHevHkICAiAjY0NPDw8MGbMGCQmJqqVS0tLw8iRI2Fvbw8HBwdMmDAB2dnZWuvOz8/H1KlT4ezsDFtbWwwePBgpKSlqZR4+fIi+ffvC2toarq6ueO+991BcXKz38ySEGJacsUoXQgghhBB9MJlgKjc3F5cvX8aiRYtw+fJl/PHHH4iOjsaAAQPUyo0cORLXr1/H0aNH8ffff+Off/7BpEmTtNY9e/Zs/PXXX9i1axdOnTqFxMREDBo0iN8ul8vRt29fFBYW4uzZs/jpp5+wZcsWLF682CDnSggxHDmrfCGEEEII0QeOMdP9mvbixYvo0KEDHjx4AC8vL9y8eRMtWrTAxYsX0a5dOwDAoUOH0KdPH8THx8PDw6NcHRkZGXBxccH27dsxZMgQAMCtW7fg5+eHiIgIvPjiizh48CD69euHxMREuLm5AQA2bNiAefPm4dGjRxCLxTq1NzMzE1KpFHfu3oWdnZ2ergLRJ850n+51TlZWFho3aYKMjAzY29s/d32q/7+3OS+IuYq/JypkCnzHHurtuKR2UT1P6O9PCCFEG13fL0ymZ0qTjIwMcBwHBwcHAEBERAQcHBz4QAoAQkJCIBAIcP78eY11REZGoqioCCEhIfw6X19feHl5ISIigq83ICCAD6QAIDQ0FJmZmbh+/boBzowQYig0zI8QQgghNcVkE1Dk5+dj3rx5GDFiBB8NJicnw9XVVa2cSCSCk5MTkpOTNdaTnJwMsVjMB2Qqbm5u/D7JyclqgZRqu2pbRQoKClBQUMA/zsjIAKD8xp2YJuqZMh2q/xN9d47nQaF1KF8hFHo9HqldVM+3zMxMI7eEEEKIKVO9T1T2OcVowdS2bdvw9ttv848PHjyILl26AFAmoxg2bBgYY1i/fr2xmlipVatWYdmyZeXWB7ZuXfONIaSWevLkCaRS6XPXIxaLIZPJsC05odKyMplM5+G7xLyognhPT08jt4QQQkhtkJWVpfVzitGCqQEDBiAoKIh/XL9+fQDPAqkHDx7gxIkTamMUZTIZUlNT1eopLi5GWloaZDKZxuPIZDIUFhYiPT1drXcqJSWF30cmk+HChQtq+6my/VVULwAsWLAAc+bM4R+np6fD29sbDx8+1MuHQ2PKzMyEp6cn4uLiav19BXQupikjIwNeXl5wcnLSS32WlpaIjY1FYWFhpWXFYjEsLS31clxSu3h4eCAuLg52dnbgOE6nfczp/04TOr/ajc6vdjP38wNq7zkyxpCVlaUxJ0NpRgum7OzsyiVpUAVSMTExCAsLg7Ozs9r24OBgpKenIzIyEm3btgUAnDhxAgqFQi0wK61t27awsLDA8ePHMXjwYABAdHQ0Hj58iODgYL7ejz/+GKmpqfwwwqNHj8Le3h4tWrSo8BwkEgkkEkm59VKptFY9WbSxt7enczFB5nQuAoH+bt20tLSkIIloJRAI0KBBg2rta07/d5rQ+dVudH61m7mfH1A7z1GXzhGTSUBRVFSEIUOG4NKlS9i2bRvkcjmSk5ORnJzMf9Ps5+eH3r17Y+LEibhw4QLOnDmDadOmYfjw4XzUmJCQAF9fX76nSSqVYsKECZgzZw7CwsIQGRmJ8ePHIzg4GC+++CIAoFevXmjRogVGjx6Nf//9F4cPH8bChQsxdepUjcESIYQQQgghhJhMAoqEhATs27cPANC6zD1HYWFheOmllwAo77WaNm0aevbsCYFAgMGDB+Orr77iyxYVFSE6Ohq5ubn8urVr1/JlCwoKEBoainXr1vHbhUIh/v77b0yZMgXBwcGwsbHB2LFjsXz5csOdMCGEEEIIIaRWM5lgqmHDhjpl9XJycsL27durVI+lpSW+/fZbfPvttxXu5+3tjQMHDujeYA0kEgmWLFliFr1ZdC6mic6FkJpn7s9VOr/ajc6vdjP38wPM/xxNetJeQgghhBBCCDFVJnPPFCGEEEIIIYTUJhRMEUIIIYQQQkg1UDBFCCGEEEIIIdVAwVSJoqIizJs3DwEBAbCxsYGHhwfGjBmDxMREtXJpaWkYOXIk7O3t4eDggAkTJiA7O1tr3fn5+Zg6dSqcnZ1ha2uLwYMH85MCqzx8+BB9+/aFtbU1XF1d8d5776G4uLja5/PHH3+gV69ecHZ2BsdxuHr1arXaVRZjDIsXL4a7uzusrKwQEhKCmJgYtTLVuUZV8e2336Jhw4awtLREUFBQuQmXy9q1axd8fX1haWmJgICAcolGdDknffjnn3/Qv39/eHh4gOM47N27Vy/tqOx6VOfvrM2qVavQvn172NnZwdXVFQMHDkR0dPRzH9MUnluElFXV1xtTZqjXIFNgqNclU7F+/Xq0atWKn6cnODgYBw8e5LfX5nPT5JNPPgHHcZg1axa/rraf49KlS8FxnNri6+vLb6/t5wcoM3OPGjUKzs7OsLKyQkBAAC5dusRvr82vMVoxwhhjLD09nYWEhLCdO3eyW7dusYiICNahQwfWtm1btXK9e/dmL7zwAjt37hw7ffo0a9KkCRsxYoTWuidPnsw8PT3Z8ePH2aVLl9iLL77IOnbsyG8vLi5m/v7+LCQkhF25coUdOHCA1atXjy1YsKDa57N161a2bNky9v333zMA7MqVK1VulyaffPIJk0qlbO/evezff/9lAwYMYD4+PiwvL48vU51rpKsdO3YwsVjMNm3axK5fv84mTpzIHBwcWEpKisbyZ86cYUKhkH322Wfsxo0bbOHChczCwoJdu3atSuekDwcOHGAffvgh++OPPxgAtmfPHrXt1WmHLtejOn9nbUJDQ9nmzZtZVFQUu3r1KuvTpw/z8vJi2dnZz3VMYz+3CCmrqq83ps4Qr0GmwlCvS6Zi3759bP/+/ez27dssOjqaffDBB8zCwoJFRUUxxmr3uZV14cIF1rBhQ9aqVSs2c+ZMfn1tP8clS5awli1bsqSkJH559OgRv722n19aWhrz9vZm48aNY+fPn2f37t1jhw8fZnfu3OHL1ObXGG0omNLiwoULDAB78OABY4yxGzduMADs4sWLfJmDBw8yjuNYQkKCxjrS09OZhYUF27VrF7/u5s2bDACLiIhgjCnf4AQCAUtOTubLrF+/ntnb27OCgoLnOofY2FiNwZQu7SpLoVAwmUzG/ve//6nVI5FI2K+//soYq941qooOHTqwqVOn8o/lcjnz8PBgq1at0lh+2LBhrG/fvmrrgoKC2Ntvv63zORlC2Q8y1W1HZdejOn/nqkpNTWUA2KlTp6p9TFN4bhFSVlVfb2oTfb0GmSp9vC6ZOkdHR/bDDz+Y1bllZWWxpk2bsqNHj7Ju3brxwZQ5nOOSJUvYCy+8oHGbOZzfvHnzWOfOnSvcbm6vMaXRMD8tMjIywHEcHBwcAAARERFwcHBAu3bt+DIhISEQCAQ4f/68xjoiIyNRVFSEkJAQfp2vry+8vLwQERHB1xsQEAA3Nze+TGhoKDIzM3H9+nUDnJlu7SorNjYWycnJavtIpVIEBQWpnUtVr5GuCgsLERkZqXZ8gUCAkJCQCtscERGhVh5QXltVeV3OqSZUpx26XI/q/J2rKiMjA4ByDrjqHtPYzy1CyqrO601tZiqvhfqij9clUyWXy7Fjxw7k5OQgODjYrM5t6tSp6Nu3b7n3bXM5x5iYGHh4eKBRo0YYOXIkHj58CMA8zm/fvn1o164dhg4dCldXVwQGBuL777/nt5vba0xpFExVID8/H/PmzcOIESNgb28PAEhOToarq6taOZFIBCcnJyQnJ2usJzk5GWKxmA/IVNzc3Ph9kpOT1QIp1XbVNkPQpV2a9indNk37VOca6erx48eQy+Vaj6+pzZW1V7VO1zoNoTrt0OV6VOfvXBUKhQKzZs1Cp06d4O/vX+1jGvu5RUhZ1Xm9qc1M5bVQH/T1umRqrl27BltbW0gkEkyePBl79uxBixYtzOLcAGDHjh24fPkyVq1aVW6bOZxjUFAQtmzZgkOHDmH9+vWIjY1Fly5dkJWVZRbnd+/ePaxfvx5NmzbF4cOHMWXKFMyYMQM//fQTAPN6jSlLZOwGGMu2bdvw9ttv848PHjyILl26AFAmoxg2bBgYY1i/fr2xmqgzbedCiCFNnToVUVFRCA8PN3ZTCCEEgPm+LjVv3hxXr15FRkYGdu/ejbFjx+LUqVPGbpZexMXFYebMmTh69CgsLS2N3RyDeOWVV/jfW7VqhaCgIHh7e+O3336DlZWVEVumHwqFAu3atcPKlSsBAIGBgYiKisKGDRswduxYI7fOsOpsz9SAAQNw9epVflENHVIFUg8ePMDRo0f5XikAkMlkSE1NVaunuLgYaWlpkMlkGo8jk8lQWFiI9PR0tfUpKSn8PjKZrFzGFtXjiurV5Vy00aVdmvYp3baKzqWq10hX9erVg1Ao1Hp8TW2urL2qdbrWaQjVaYcu16M6f2ddTZs2DX///TfCwsLQoEEDtXOpbc8tQsqqzutNbWYqr4XPS5+vS6ZGLBajSZMmaNu2LVatWoUXXngBX375pVmcW2RkJFJTU9GmTRuIRCKIRCKcOnUKX331FUQiEdzc3Gr9OZbl4OCAZs2a4c6dO2bxN3R3d0eLFi3U1vn5+fFDGc3lNUaTOhtM2dnZoUmTJvxiZWXFB1IxMTE4duwYnJ2d1fYJDg5Geno6IiMj+XUnTpyAQqFAUFCQxuO0bdsWFhYWOH78OL8uOjoaDx8+RHBwMF/vtWvX1D4oqgK5sk9MXc+lMrq0qywfHx/IZDK1fTIzM3H+/Hm1c6nqNdKVWCxG27Zt1Y6vUChw/PjxCtscHBysVh5QXltVeV3OqSZUpx26XI/q/J0rwxjDtGnTsGfPHpw4cQI+Pj5q22vjc4uQsqrzelObmcprYXUZ4nXJ1CkUChQUFJjFufXs2RPXrl0r98XwyJEj+d9r+zmWlZ2djbt378Ld3d0s/oadOnUqNx3B7du34e3tDaD2v8ZoZeQEGCajsLCQDRgwgDVo0IBdvXpVLXVl6Yx6vXv3ZoGBgez8+fMsPDycNW3aVC01c3x8PGvevDk7f/48v27y5MnMy8uLnThxgl26dIkFBwez4OBgfrsqNXqvXr3Y1atX2aFDh5iLi8tzpUZ/8uQJu3LlCtu/fz8DwHbs2MGuXLnCkpKSdG4XY4w1b96c/fHHH/zjTz75hDk4OLA///yT/ffff+zVV1/VmL5a2zV6Hjt27GASiYRt2bKF3bhxg02aNIk5ODjwmRBHjx7N5s+fz5c/c+YME4lEbPXq1ezmzZtsyZIlGlOjV3ZO+pCVlcWuXLnCrly5wgCwzz//nF25coXPFqlLO3r06MG+/vprna8HY7r9natiypQpTCqVspMnT6r9n+Tm5lbpmKb23CKkLF3+v2oTfbwGmSp9vS6Zqvnz57NTp06x2NhY9t9//7H58+czjuPYkSNHGGO1+9wqUjqbH2O1/xzfffdddvLkSRYbG8vOnDnDQkJCWL169VhqaipjrPaf34ULF5hIJGIff/wxi4mJYdu2bWPW1tbsl19+4cvU5tcYbSiYKqFKIa5pCQsL48s9efKEjRgxgtna2jJ7e3s2fvx4lpWVVa6e0vvk5eWxd955hzk6OjJra2v22muvqQU1jDF2//599sorrzArKytWr1499u6777KioqJqn8/mzZs1nsuSJUuq1C4AbPPmzfxjhULBFi1axNzc3JhEImE9e/Zk0dHRavtUdo2e19dff828vLyYWCxmHTp0YOfOneO3devWjY0dO1at/G+//caaNWvGxGIxa9myJdu/f7/adl3OSR/CwsI0/k1U7dWlHd7e3mp/Q8a0Xw/GdPs7V0VF/yelnye19blFSFmV/X/VJvp4DTJV+npdMlVvvvkm8/b2ZmKxmLm4uLCePXvygRRjtfvcKlI2mKrt5/j6668zd3d3JhaLWf369dnrr7+uNgdTbT8/xhj766+/mL+/P5NIJMzX15dt3LhRbXttfo3RhmOMMQN2fBFCCCGEEEKIWaqz90wRQgghhBBCyPOgYIoQQgghhBBCqoGCKUIIIYQQQgipBgqmCCGEEEIIIaQaKJgihBBCCCGEkGqgYIoQQgghhBBCqoGCKUIIIYQQQgipBgqmCCGEEEIIIaQaKJgiZuHHH39Er169DH6cQ4cOoXXr1lAoFAY/FiGEEFKTTp48CY7jkJ6ebtDjjB49GitXrjToMbSh93KiTxRMkVovPz8fixYtwpIlSwx+rN69e8PCwgLbtm0z+LEIIYTUvHHjxoHjuHLLnTt3jN00g+vYsSOSkpIglUoNdox///0XBw4cwIwZM9TW37lzB2+++Sa8vLwgkUhQv3599OzZE9u2bUNxcTFfjuM47N27t1y948aNw8CBA3VqA72XE32iYIrUert374a9vT06depUI8cbN24cvvrqqxo5FiGEkJrXu3dvJCUlqS0+Pj7lyhUWFhqhdYYjFoshk8nAcZzBjvH1119j6NChsLW15ddduHABbdq0wc2bN/Htt98iKioKJ0+exFtvvYX169fj+vXrem8HvZcTfaFgipiMrVu3wtnZGQUFBWrrBw4ciNGjR1e4344dO9C/f3+1dS+99BJmzZpVrp5x48bxjxs2bIiPPvoIY8aMga2tLby9vbFv3z48evQIr776KmxtbdGqVStcunRJrZ7+/fvj0qVLuHv3bvVOlBBCiEmTSCSQyWRqi1AoxEsvvYRp06Zh1qxZqFevHkJDQwEAUVFReOWVV2Braws3NzeMHj0ajx8/5uvLycnh32vc3d2xZs2acu9TmnpcHBwcsGXLFv5xXFwchg0bBgcHBzg5OeHVV1/F/fv3+e2q3pnVq1fD3d0dzs7OmDp1KoqKivgyBQUFmDdvHjw9PSGRSNCkSRP8+OOPADQP8wsPD0eXLl1gZWUFT09PzJgxAzk5Ofz2devWoWnTprC0tISbmxuGDBlS4XWVy+XYvXu32ns2Ywzjxo1Ds2bNcObMGfTv3x9NmzZF06ZNMWLECISHh6NVq1Za/15l3b9/X2Pv4ksvvcSXofdyoi8UTBGTMXToUMjlcuzbt49fl5qaiv379+PNN9+scL/w8HC0a9euWsdcu3YtOnXqhCtXrqBv374YPXo0xowZg1GjRuHy5cto3LgxxowZA8YYv4+Xlxfc3Nxw+vTpah2TEEJI7fXTTz9BLBbjzJkz2LBhA9LT09GjRw8EBgbi0qVLOHToEFJSUjBs2DB+n/feew+nTp3Cn3/+iSNHjuDkyZO4fPlylY5bVFSE0NBQ2NnZ4fTp0zhz5gxsbW3Ru3dvtR6ysLAw3L17F2FhYfjpp5+wZcsWtYBszJgx+PXXX/HVV1/h5s2b+O6779R6iUq7e/cuevfujcGDB+O///7Dzp07ER4ejmnTpgEALl26hBkzZmD58uWIjo7GoUOH0LVr1wrP4b///kNGRobae/bVq1dx8+ZNzJ07FwKB5o+lVe0p8/T0VOtVvHLlCpydndXaRu/lRG8YISZkypQp7JVXXuEfr1mzhjVq1IgpFAqN5Z8+fcoAsH/++Udtfbdu3djMmTPV1r366qts7Nix/GNvb282atQo/nFSUhIDwBYtWsSvi4iIYABYUlKSWl2BgYFs6dKlVT09QgghJm7s2LFMKBQyGxsbfhkyZAhjTPneEhgYqFZ+xYoVrFevXmrr4uLiGAAWHR3NsrKymFgsZr/99hu//cmTJ8zKykrtfQoA27Nnj1o9UqmUbd68mTHG2M8//8yaN2+u9n5YUFDArKys2OHDh/m2e3t7s+LiYr7M0KFD2euvv84YYyw6OpoBYEePHtV47mFhYQwAe/r0KWOMsQkTJrBJkyaplTl9+jQTCAQsLy+P/f7778ze3p5lZmZqrK+sPXv2MKFQqHYOO3bsYADY5cuX+XUpKSlq1//bb79Vu06WlpZq221sbJhIJGKvvvpquWPm5eWxoKAg1q9fPyaXy9W20Xs50QeR0aI4QjSYOHEi2rdvj4SEBNSvXx9btmzhbwbWJC8vDwBgaWlZreOVHjrg5uYGAAgICCi3LjU1FTKZjF9vZWWF3Nzcah2TEEKIaevevTvWr1/PP7axseF/b9u2rVrZf//9F2FhYRp7d+7evYu8vDwUFhYiKCiIX+/k5ITmzZtXqU3//vsv7ty5Azs7O7X1+fn5akPVWrZsCaFQyD92d3fHtWvXACh7gYRCIbp166bzMf/77z+1RA2MMSgUCsTGxuLll1+Gt7c3GjVqhN69e6N379547bXXYG1trbG+vLw8SCSSSnuanJ2dcfXqVQDKYftl701bu3YtQkJC1NbNmzcPcrm8XF1vvvkmsrKycPTo0XI9X/ReTvSBgiliUgIDA/HCCy9g69at6NWrF65fv479+/dXWN7Z2Rkcx+Hp06eV1q3pRdbCwoL/XfXirmld2fSpaWlpcHFxqfSYhBBCah8bGxs0adKkwm2lZWdno3///vj000/LlXV3d9c5CyDHcWpDygGo3euUnZ2Ntm3basxAV/r9qPR7mKpe1XuYlZWVTm0pfcy33367XOY9QDlMTiwW4/Llyzh58iSOHDmCxYsXY+nSpbh48SIcHBzK7VOvXj3k5uaisLAQYrEYANC0aVMAQHR0NAIDAwEAQqGQv/4iUfmPqjKZrNzfx87OrlxK948++giHDx/GhQsXygWhAL2XE/2ge6aIyXnrrbewZcsWbN68GSEhIfD09KywrFgsRosWLXDjxo1y21JSUtQe37t3Ty/tU30LqHrRJ4QQUne1adMG169fR8OGDdGkSRO1xcbGBo0bN4aFhQXOnz/P7/P06VPcvn1brR4XFxckJSXxj2NiYtR6Tdq0aYOYmBi4urqWO46uqcwDAgKgUChw6tQpnc/txo0b5Y7XpEkTPhgSiUQICQnBZ599hv/++w/379/HiRMnNNbXunVrAFB7zw4MDISvry9Wr16t13mffv/9dyxfvhy//fYbGjduXG47vZcTfaFgipicN954A/Hx8fj++++1Jp5QCQ0NRXh4eLn1f/75J/744w/cvXsXH3/8MW7cuIEHDx4gISHhudp37tw5SCQSBAcHP1c9hBBCar+pU6ciLS0NI0aMwMWLF3H37l0cPnwY48ePh1wuh62tLSZMmID33nsPJ06cQFRUFMaNG1duyFmPHj3wzTff4MqVK7h06RImT56s1ss0cuRI1KtXD6+++ipOnz6N2NhYnDx5EjNmzEB8fLxObW3YsCHGjh2LN998E3v37uXr+O233zSWnzdvHs6ePYtp06bh6tWriImJwZ9//sknoPj777/x1Vdf4erVq3jw4AG2bt0KhUJR4RBGFxcXtGnTRu09m+M4bN68GdHR0ejUqRP27duHmJiY/7d3xyDJxGEcx3/vWES6JhRtpx5FRoNIt1i0RIvWUtCiDSWCQxAtTS4lYZM523C01NasQkvUFg1NjUKRuJRLvO8gyOvbG9x77/UmvN8P3CJ3+Hfx4cf/uf+ju7s7lctlPT4+9rQtOnF7e6v19XXt7OzINE01Gg01Gg09Pz9376GWwyuEKfQdn8+nZDKpoaEhRwP4UqmULi4u1Gq1ej5fXFzUwcGBwuGw6vW6SqWSrq6udHJy8lfrs21ba2trH/aEAwD+H4FAQJeXl3p7e9PCwoImJiaUy+Xk9/u7galQKMiyLC0tLWl+fl6zs7Pv3r06PDzU6OioLMvS6uqqtre3e+rM4OCg6vW6xsbGlEgkFAqFlEql1G63NTw87Hi9x8fHWl5e1tbWloLBoDY2NnqOOv/Z5OSkarWa7u/vZVmWIpGI9vb2FAgEJHWObj87O1M8HlcoFFK5XJZt2zJN88PvT6fT71oVo9Gobm5uZBiGMpmMwuGwYrGYbNtWsVjU5uam498ndU4ZfHl5UT6f18jISPdKJBLde6jl8Mq377826AJ9YG5uTqZpOh6ot7Kyounpae3u7krqvLA6NTWlo6MjT9f19PQkwzB0fX392wGOAAA48Vl1qt+9vr7KMAydnp5+2a4QtRxeYmcKfaXZbOr8/FzValWZTMbxc4VC4cM5GV56eHhQqVTizxcAABcGBgZUqVR6hhr/a9RyeInT/NBXIpGIms2m9vf3/+jY2PHxcWWz2U9cWcfMzIzrAcEAAKCzK/eVqOXwEm1+AAAAAOACbX4AAAAA4AJhCgAAAABcIEwBAAAAgAuEKQAAAABwgTAFAAAAAC4QpgAAAADABcIUAAAAALhAmAIAAAAAFwhTAAAAAODCD4HhphyOmkWjAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Calculate Z0\n", "Z0_mode = np.conjugate(\n", @@ -418,8 +921,8 @@ "fig, ax = plt.subplots(1, 2, figsize=(9, 3), tight_layout=True)\n", "\n", "mode_solver_rf.plot_field(\"Ey\", \"real\", f=rf_freqs[0].item(), robust=False, ax=ax[0])\n", - "ax[0].set_xlim(-20,20)\n", - "ax[0].set_ylim(-20,20)\n", + "ax[0].set_xlim(-20, 20)\n", + "ax[0].set_ylim(-20, 20)\n", "\n", "ax[1].plot(Z0_mode.f * 1e-9, Z0_mode.real)\n", "_ = ax[1].set(xlabel=\"Frequencies (GHz)\", ylabel=\"Re{Z₀} (Ω)\")" @@ -437,97 +940,279 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "0b823b69", "metadata": {}, "outputs": [], "source": [ "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", "\n", - "waveguide_r = [ridge.updated_copy(geometry = ridge.geometry.translated(x=0,y=cpw_width/2 + cpw_gap/2,z=delta_z),\n", - " name = 'ridge_r',\n", - " medium = tfln_rf), \n", - " core.updated_copy(geometry = core.geometry.translated(x=0,y=-cpw_width/2 - cpw_gap/2,z=delta_z),\n", - " name = 'core_r',\n", - " medium = tfln_rf)]\n", - "\n", - "waveguide_l = [ridge.updated_copy(geometry = ridge.geometry.translated(x=0,y=-cpw_width/2 - cpw_gap/2,z=delta_z),\n", - " name = 'ridge_l',\n", - " medium = tfln_rf), \n", - " core.updated_copy(geometry = core.geometry.translated(x=0,y=cpw_width/2 + cpw_gap/2,z=delta_z),\n", - " name = 'core_l',\n", - " medium = tfln_rf)]\n", - "\n", - "override_region = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", - " eff_inf,\n", - " slab_thickness + core_thickness),\n", - " center = (0,0,tfln_slab.geometry.center[2]+tfln_thickness/2)),\n", - " dl = (None,None,0.01))\n", - "\n", - "gap_center = cpw_center.geometry.center[1] + cpw_width/2 + cpw_gap/2\n", - "\n", - "override_region_gap_l = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", - " cpw_gap,\n", - " eff_inf),\n", - " center = (0,gap_center,0)),\n", - " dl = (None,0.01,None))\n", - "\n", - "override_region_gap_r = td.MeshOverrideStructure(geometry = td.Box(size = (eff_inf,\n", - " cpw_gap,\n", - " eff_inf),\n", - " center = (0,-gap_center,0)),\n", - " dl = (None,0.01,None)) \n", - "\n", - "\n", - "grid_spec_vpi = grid_spec.updated_copy(override_structures = [override_region,\n", - " override_region_gap_l,\n", - " override_region_gap_r])\n", - "sim_vpi = sim_rf.updated_copy(structures = [sio2_slab, \n", - " si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\\\n", - " + waveguide_r + waveguide_l,\n", - " grid_spec = grid_spec_vpi)\n", + "waveguide_r = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"core_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]\n", + "\n", + "waveguide_l = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"core_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]\n", + "\n", + "override_region = td.MeshOverrideStructure(\n", + " geometry=td.Box(\n", + " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", + " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", + " ),\n", + " dl=(None, None, 0.01),\n", + ")\n", "\n", - "\n" + "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", + "\n", + "override_region_gap_l = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "override_region_gap_r = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "\n", + "grid_spec_vpi = grid_spec.updated_copy(\n", + " override_structures=[override_region, override_region_gap_l, override_region_gap_r]\n", + ")\n", + "sim_vpi = sim_rf.updated_copy(\n", + " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", + " + waveguide_r\n", + " + waveguide_l,\n", + " grid_spec=grid_spec_vpi,\n", + ")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "id": "de0b6b55", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(4.0, 10.0)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "mzm_solver = ModeSolver(simulation = sim_vpi,\n", - " plane = mode_solver_rf.plane,\n", - " mode_spec = td.ModeSpec(num_modes=1,\n", - " target_neff=2.2),\n", - " freqs = rf_freqs)\n", - "\n", - "\n", + "mzm_solver = ModeSolver(\n", + " simulation=sim_vpi,\n", + " plane=mode_solver_rf.plane,\n", + " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", + " freqs=rf_freqs,\n", + ")\n", "\n", "\n", "ax = mzm_solver.plot()\n", "mzm_solver.plot_grid(ax=ax)\n", - "ax.set_ylim(1,5)\n", - "ax.set_xlim(4,10)" + "ax.set_ylim(1, 5)\n", + "ax.set_xlim(4, 10)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "38935f5b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
12:00:15 -03 Created task 'MZM mode solver' with resource_id                    \n",
+       "             'mo-2cc0f904-09e7-4efd-a998-13eaae14f231' and task_type            \n",
+       "             'MODE_SOLVER'.                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:15 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-2cc0f904-09e7-4efd-a998-13eaae14f231'\u001b[0m and task_type \n", + "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             View task using web UI at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-\n",
+       "             4efd-a998-13eaae14f231'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=918486;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=657276;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m-2cc0f904-09e7-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m4efd-a998-13eaae14f231'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Task folder: 'default'.                                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=753555;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "fc8a0663330b4348ac0312af96da45ea", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
12:00:18 -03 Estimated FlexCredit cost: 0.015. Minimum cost depends on task     \n",
+       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
+       "             FlexCredit cost after a simulation run.                            \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:18 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.015\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", + "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
12:00:20 -03 status = success                                                   \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:20 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "952482b8281845c195c6962c074d5aa1", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
12:00:39 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:39 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "id": "7d132394", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "_ = mzm_solver.plot_field(\"Ey\", \"real\", f=rf_freqs[0], mode_index=0, robust=True)" ] @@ -542,15 +1227,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "id": "a7147eea", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "n_eff = mzm_solver.data.n_eff.isel(mode_index=0).values\n", "\n", "# Calculate Z0\n", - "Z0_mzm= np.conjugate(\n", + "Z0_mzm = np.conjugate(\n", " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", " mzm_mode_data\n", " )\n", @@ -575,16 +1271,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "id": "82671b9d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "\n", "v0 = WP1.voltage_integral.compute_voltage(mzm_solver.data)\n", "ey_norm = (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", "\n", - "offset = cpw_width/2 + cpw_gap/2\n", + "offset = cpw_width / 2 + cpw_gap / 2\n", "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset)\n", "\n", "ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True)\n", @@ -601,12 +1317,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "id": "c2e97084", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0/opt_wavelength))\n", + "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", "n_e = eps_e**0.5\n", "r33 = 30.9e-6 # μm/V\n", "\n", @@ -627,15 +1354,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "id": "6a02f7c3", "metadata": {}, "outputs": [], "source": [ "# Use a single data point for the homogeneous directions\n", - "eps_o_array = td.SpatialDataArray(\n", - " np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]}\n", - ")\n", + "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", "\n", "\n", "def perturbed_solver(voltage):\n", @@ -644,10 +1369,11 @@ " yy=td.CustomMedium(permittivity=(n_e + voltage * Δn) ** 2, subpixel=True),\n", " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " )\n", - " perturbed_sim = sim_opt.updated_copy(structures = [core.updated_copy(medium = perturbed_ln), \n", - " ridge.updated_copy(medium = perturbed_ln)])\n", - " ms = mode_solver_opt.updated_copy(simulation = perturbed_sim)\n", - " return ms " + " perturbed_sim = sim_opt.updated_copy(\n", + " structures=[core.updated_copy(medium=perturbed_ln), ridge.updated_copy(medium=perturbed_ln)]\n", + " )\n", + " ms = mode_solver_opt.updated_copy(simulation=perturbed_sim)\n", + " return ms" ] }, { @@ -660,19 +1386,145 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "id": "29e27d6c", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4a8a2d64c2da4fa899e13655803855e6", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
12:00:49 -03 Started working on Batch containing 5 tasks.                       \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:49 -03\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m5\u001b[0m tasks. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
12:00:56 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:00:56 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.020\u001b[0m for the whole batch. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n",
+       "             Batch has completed.                                               \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n", + "\u001b[2;36m \u001b[0mBatch has completed. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "684fa8490c094907a5d4e795baf0d256", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
12:01:00 -03 Batch complete.                                                    \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m12:01:00 -03\u001b[0m\u001b[2;36m \u001b[0mBatch complete. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "7ab4b49506d44bba8a78a0d9d3673a2e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/html": [
+       "
\n"
+      ],
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "voltages = np.arange(5)\n",
     "\n",
-    "sims = {str(v):perturbed_solver(v) for v in voltages}\n",
+    "sims = {str(v): perturbed_solver(v) for v in voltages}\n",
     "\n",
-    "batch = web.Batch(simulations = sims,\n",
-    "                  folder_name = 'perturbed_mode')\n",
+    "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")\n",
     "\n",
-    "batch_data = batch.run(path_dir = 'batch_perturbed_mode')"
+    "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")"
    ]
   },
   {
@@ -685,15 +1537,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 23,
    "id": "7b8459f0",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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ZDAwMVI6xY8cO9O7dG/Xr14ckSVAoFCX2J4SAi4tLqfnu37+PN954A5IkISMjQ7n+2LFjRbJIkoTU1NQXjpNeP0mS4NX1U/wybR0aN3wDtx+kwn3RSKw6FIXCwkK54xERURUlazGWk5ODtm3bIjQ0tEztT548CQ8PD3h7eyMuLg5bt27FmTNn4OPjo9LOyMgIKSkpyiUhIaFIv126dMGCBQte2GdISAgkSSq1jbe3N9q0aVPi9qtXr6rkMTExeWG/JJ82Vs0R/dVGuHfoiaeFBZi9YwU8VvvhQTYvWxIRUfnTkbNzFxcXuLi4lLn96dOn0bhxY0yYMAEAYGNjg5EjRxYpqiRJgpmZWYnHGTJkCADg5s2bpfanUCiwePFinD17Fubm5sW2Wb16NTIyMjBjxgzs37+/2DYmJiaoU6dOqX1R5VLbsCbWeH8Lx7fewddbluLwpZPoOXcI1nh/i462beWOR0REVYhGzRmzt7dHYmIi9u3bByEE0tLSsG3bNri6uqq0y87OhrW1NSwtLeHu7o64OPVvV5Cbm4uBAwciNDS0xMLu8uXLmD17NiIjI6GlVfJb2a5dO5ibm6NXr144efJkqf3m5eUhKytLZSF5SJIEj/c/xj7/DWhqaoXk9Dv4eMkYrDgYycuWRERUbjSqGHN0dERUVBT69+8PPT09mJmZwdjYWOUyZ7NmzRAWFobdu3dj06ZNKCwshIODA5KSktTqa9KkSXBwcIC7u3ux2/Py8jBgwAAEBwfDysqq2Dbm5uZYs2YNtm/fju3bt8PS0hJdu3bF+fPnS+w3KCgIxsbGysXS0lKt3FT+Wr3xJg4GhOOTd3ujoLAAc3euwuDQKbj3MF3uaEREVBWISgKA2LlzZ6lt4uLihLm5uVi4cKG4cOGCOHDggGjdurXw8vIqcZ/8/HzRtGlTMX369CLb4uPjBQARGxursn737t3C1tZWPHz4sMR8kyZNEv3791e+Pnr0qAAg0tPTSx3D+++/LwYPHlzi9sePH4vMzEzlkpiYKACIzMzMUo9LFa+wsFBsOrFLWI97X5iO7CTaTvtQnP47Vu5YRERUCWVmZpb5+1ujzowFBQXB0dERfn5+aNOmDZydnbFq1SqEhYUhJSWl2H10dXVhZ2eH69evl7mfmJgY3LhxA3Xq1IGOjg50dJ5NrevXrx+6du2qbLN161bl9h49egAAGjRogJkzZ5Z47I4dO5aaRV9fH0ZGRioLVQ6SJGFQF3fs99+AN82skZp5F58sGYOQfeG8bElERC9N1gn86srNzVUWRv/S1tYGgBLvmF5QUIBLly4VmVdWGn9/fwwfPlxlXevWrbF06VK4ubkBALZv345Hjx4pt//xxx/w8vLCiRMn0LRp0xKPrVAoSvwxAGmGFo1sccA/HF/+GIxt/9uP+XvW4vS1WKwc9g0aGtWTOx4REWkYWYux7OxslbNE8fHxUCgUqFevHqysrBAQEIDbt28jMjISAODm5gYfHx+sXr0azs7OSElJga+vLzp27AgLCwsAwOzZs9G5c2fY2toiIyMDwcHBSEhIUCmuHjx4gFu3biE5ORnAs1tPAICZmZnK8jwrKyvY2NgAQJGC6969ewCAFi1aKH85GRISAhsbG7Rq1QqPHz/G+vXrERMTg0OHDpXH20cyqmlQAyuGzoBjs3fw1Y/B+PXKGfSc64FVXrPg2OwdueMREZEGkfUy5dmzZ2FnZwc7OzsAwOTJk2FnZ4cZM2YAAFJSUnDr1i1l+6FDh2LJkiVYuXIl3n77bXz22Wdo1qwZduzYoWyTnp4OHx8ftGjRAq6ursjKysKpU6fQsmVLZZs9e/bAzs4Offr0AQB88cUXsLOzw5o1a8p1fPn5+ZgyZQpat24NJycnXLhwAYcPH1Ze0iTNJkkSBjh8iP0B4XjL3AZpmffwWch4LN67AQWFBXLHIyIiDSGJkq7vUaWQlZUFY2NjZGZmcv5YJZaT9wiBPy3G5lO/AADea94BocNmwcS4vszJiIhIDup8f2vUBH6iyqqmviFCPKZjxdCZMNQzwIm/zqLH3CE48dcfckcjIqJKjsUYUTn6rLMLDgaEo7lFU9zNeoDPl03Awp/X8bIlERGViMUYUTl7y9wG+/w3YJDjRxBCYMneDfgsZDzSMu/JHY2IiCohFmNEFaCGngEWD/kKq7xmoaZ+DZz6+zx6zBmCXy//T+5oRERUybAYI6pAn3R0xqGvItDqjTdx72E6vljhi/m71+BpwVO5oxERUSXBYoyogjU1tcIv09bB4/2PIYRAyP4IfLp0HFLS78gdjYiIKgEWY0SvgaGeARYO/BJrhn+LWgY18Pt1BXrM9UBM3Gm5oxERkcxYjBG9Rn079MKhgAi0tnwLD7IzMHDFJMzduYqXLYmIqjEWY0SvWRNTK/w8bR2GOX0KAFhxMBKfLBmD2w/SZE5GRERyYDFGJAMDXX0EDZiKdT7zUNugJs7cuIiec4cg+tJJuaMREdFrxmKMSEZu73RHdOBGtLFqjvScLAwJnYJZ21fgCS9bEhFVGyzGiGTWuOEb+NnvOwzv9jkAYHV0FPouGoXE+ykyJyMioteBxRhRJaCvq4c5/Sdjw8ggGBnWwrn4P9FrricOXjgudzQiIqpgLMaIKpE+dt0QHRiJdtYtkZGbBc/V0zBzawjynz6ROxoREVUQFmNElYx1Awvs8VuLkT2+AACsPbIZ7otGIuFesszJiIioIrAYI6qE9HR0MeszX2wcvRB1ahgh9uZl9JrrgX2xx+SORkRE5YzFGFEl5tz2fUQHbsQ7Nm8j61E2vNb6I/Cnxch7ki93NCIiKicsxogqOcv65tg1dQ1G9xoEANhwdCvcgkcg4e5tJKffwW9XzyGZz7kkItJYkhBCyB2CSpaVlQVjY2NkZmbCyMhI7jgks+hLJzEhYhbSc7Kgr6OH/IInEEJAS9LCosH+GOj4kdwRiYgI6n1/88wYkQbp1doRhwO/Rzvr5sh7mo9//y1VKArhFzWfZ8iIiDQQizEiDdOonikC+o4psr6gsBDxdxJlSERERK+CxRiRBnrTrDG0pKJ/vldT/pEhDRERvQoWY0QayKKuCRYN9oe2luqf8FebF2PqpiA8yn8sUzIiIlIXJ/BXcpzAT6VJTr+D+DuJsKxvjh9P/YKQ/eEQQqC5RVN85zMHb5nbyB2RiKhaUuf7m8VYJcdijNRx/MoZjA3/BnezHsBQzwDzB/ihv30fuWMREVU7/DUlUTX1fouOOBL4Pd5r3gGP8h9j4sZvMSFiNnLyHskdjYiISsBijKiKMTGuj80TlmGa2whoSVrY8vs+fBA0DFdu35A7GhERFUPtYuyvv/4qcdvBgwdfKQwRlQ9tLW1M7uOFbZNWwsy4Ia6l3oTLfC9E/bYbnJlARFS5qF2MtW/fHqGhoSrr8vLyMG7cOLi7u5dbMCJ6dQ5vtcfh6ZHo1qozHj/Jw5RNQRgbNhPZj3PkjkZERP9H7WIsIiICM2bMgKurK9LS0qBQKGBnZ4fDhw/jxIkTFZGRiF5Bg9p1ETV2CQI/HgNtLW3s+OMQes8bij8T/5Y7GhER4SWKsc8//xwXLlzAkydP0KpVK9jb28PJyQnnz5/Hu+++q9axjh8/Djc3N1hYWECSJOzateuF+0RFRaFt27aoUaMGzM3N4eXlhfv37yu3R0REQJIklcXAwEDlGDt27EDv3r1Rv359SJIEhUJRYn9CCLi4uJSa7/79+3jjjTcgSRIyMjJUth07dgzt27eHvr4+bG1tERER8cIxEpU3LS0tjHf2wK4pq9Gorin+uZOIPguGI+LX7bxsSUQks5eewJ+fn4+CggIUFBTA3Ny8SMFTFjk5OWjbtm2Ry54lOXnyJDw8PODt7Y24uDhs3boVZ86cgY+Pj0o7IyMjpKSkKJeEhIQi/Xbp0gULFix4YZ8hISGQJKnUNt7e3mjTpk2R9fHx8ejTpw+6desGhUIBX19fDB8+nHPrSDbvNm2D6MBI9G7TBXlP8+H/YzBGrJuOrEfZckcjIqq+hJp+/PFHUadOHeHm5ibu3LkjDh06JBo1aiQcHBzEjRs31D2cEgCxc+fOUtsEBweLJk2aqKxbvny5aNSokfJ1eHi4MDY2LlOf8fHxAoCIjY0tdntsbKxo1KiRSElJKTHfqlWrhJOTkzhy5IgAINLT05Xbpk2bJlq1aqXSvn///sLZ2blM+YQQIjMzUwAQmZmZZd6H6EUKCwvF6ugo0Wi0gzAd2Ul0DPxExN68LHcsIqIqQ53vb7XPjHl7e2PevHnYs2cPGjZsiF69euHSpUto1KgR2rVrV66F4vPs7e2RmJiIffv2QQiBtLQ0bNu2Da6urirtsrOzYW1tDUtLS7i7uyMuLk7tvnJzczFw4ECEhobCzMys2DaXL1/G7NmzERkZCS2tom/l6dOn0bNnT5V1zs7OOH36dIn95uXlISsrS2UhKm+SJGFUz4HY4/cdLOubI+Hebbgt9MG6Iz/xsiUR0WumdjF2/vx5jB49WmVd3bp1sWXLljJfbnxZjo6OiIqKQv/+/aGnpwczMzMYGxur9NusWTOEhYVh9+7d2LRpEwoLC+Hg4ICkpCS1+po0aRIcHBxK/IVoXl4eBgwYgODgYFhZWRXbJjU1FaampirrTE1NkZWVhUePir8JZ1BQEIyNjZWLpaWlWrmJ1NHephUOB0aij11XPCl4iq+3LoXXGn9k5PAfAUREr4vaxVizZs3w9OlTHD58GGvXrsXDhw8BAMnJyfj444/LPeB/Xb58GRMnTsSMGTNw7tw5HDhwADdv3sSoUaOUbezt7eHh4YF27drByckJO3bsQMOGDbF27doy97Nnzx7ExMQgJCSkxDYBAQFo0aIFBg8e/CpDKva4mZmZyiUxMbFcj0/0POMatbF+RBDm9p8CPR1d7L/wK3rO9cC5f/6UOxoRUbWgdjGWkJCA1q1bw93dHWPHjsXdu3cBAAsWLMDUqVPLPeB/BQUFwdHREX5+fmjTpg2cnZ2xatUqhIWFISUlpdh9dHV1YWdnh+vXr5e5n5iYGNy4cQN16tSBjo4OdHR0AAD9+vVD165dlW22bt2q3N6jRw8AQIMGDTBz5kwAgJmZGdLS0lSOnZaWBiMjIxgaGhbbt76+PoyMjFQWooomSRK8u32GX6atQ+OGbyDpQSrcF43EqkNRKCwslDseEVGVpnYxNnHiRHTo0AHp6ekqBcXHH3+MI0eOlGu45+Xm5haZm6WtrQ0AJc5zKSgowKVLl2Bubl7mfvz9/XHx4kUoFArlAgBLly5FeHg4AGD79u24cOGCcvv69esBACdOnMDYsWMBPDtL9/x7Eh0dDXt7+zJnIXqd2lg1R/RXG+HeoSeeFhZg9o4V8Fjth/vZGXJHIyKqsnTU3eHEiRM4deoU9PT0VNY3btwYt2/fVutY2dnZKmes4uPjoVAoUK9ePVhZWSEgIAC3b99GZGQkAMDNzQ0+Pj5YvXo1nJ2dkZKSAl9fX3Ts2BEWFhYAgNmzZ6Nz586wtbVFRkYGgoODkZCQgOHDhyv7efDgAW7duoXk5GQAwNWrVwE8O5P13+V5VlZWsLGxAQA0bdpUZdu9e/cAAC1atECdOnUAAKNGjcLKlSsxbdo0eHl5ISYmBlu2bMHevXvVep+IXqfahjWxxvtbdGnWAdN/WoLDl06i55whWO39LTq/2U7ueEREVY7aZ8YKCwtRUFBQZH1SUhJq166t1rHOnj0LOzs72NnZAQAmT54MOzs7zJgxAwCQkpKCW7duKdsPHToUS5YswcqVK/H222/js88+Q7NmzbBjxw5lm/T0dPj4+KBFixZwdXVFVlYWTp06hZYtWyrb7NmzB3Z2dujTpw8A4IsvvoCdnR3WrFmjVv4XsbGxwd69exEdHY22bdti8eLFWL9+PZydncu1H6LyJkkShrzXF/v9N8DW1BopGXfRb+lYLNsfwcuWRETlTBJq/o69f//+MDY2xnfffYfatWvj4sWLaNiwIdzd3WFlZaW8jEflIysrC8bGxsjMzOT8MZJFzuNcfPljMLb9bz8AoGvLTlgxdCYaGtWTORkRUeWlzve32sVYUlISnJ2dIYTAtWvX0KFDB1y7dg0NGjTA8ePHYWJi8krhSRWLMaoMhBDYfHovvvoxGI+e5MHEqD5Wec9Gl2bvyB2NiKhSqtBiDACePn2KzZs34+LFi8jOzkb79u0xaNCgEn8hSC+PxRhVJleT4+Gz7iv8nRIPLUkLk/t4YZLrMGhracsdjYioUqnwYoxeHxZjVNnk5j9G4ObF+PHUzwAAx2bvYJXXLJgaN5A5GRFR5VHuxdiePXvK3PlHH31U5rb0YizGqLLa9r/9mPbDQuTmPUKD2nUROuwbOLXsJHcsIqJKodyLsefv7SVJUpH7ekmSBADF/tKSXh6LMarMrqcmYMS6QFy+fR2SJGHiB56Y+uFw6GirfdccIqIqRZ3v7zLd2qKwsFC5HDp0CO3atcP+/fuRkZGBjIwM7N+/H+3bt8eBAwfKZQBEpBlszayx98v18Hj/YwghELI/Ap8uHYfk9DtyRyMi0hhqzxl7++23sWbNGnTp0kVl/YkTJzBixAhcuXKlXANWdzwzRppi99nDmLJpHrIf56JeTWMsHzoTPVs7yB2LiEgW5X5m7L/+fWbj84yNjXHz5k11D0dEVYR7h56I/moj2lg1w4OcTAwOnYzZ21fgScFTuaMREVVqahdj7777LiZPnqzyAOy0tDT4+fmhY8eO5RqOiDSLjYklfvZbB+9unwEAVkVHoe+iUUi8nyJzMiKiykvtYiwsLAwpKSmwsrKCra0tbG1tYWVlhdu3b2PDhg0VkZGINIi+rh7m9p+CsJHzYVyjNs7F/4lecz1xQHFc7mhERJXSS91nTAiB6Oho/PXXXwCePRy7Z8+eyl9UUvnhnDHSZLfuJWPk+umIvXkZAODTvT++/mQc9HR0ZU5GRFSxeNPXKoTFGGm6/KdPMG/Xaqw5/AMAoK11C3w3fA6sGzaSORkRUcWp8GLsyJEjOHLkCO7cuYPCwkKVbWFhYeoejkrBYoyqikMXT2Dixm+RnpOF2gY1sWRIINze6S53LCKiClGhv6acNWsWevfujSNHjuDevXtIT09XWYiIitO7zXs4HPg9OjZtg4ePc+Cz7iv4/xiMx0/y5I5GRCQrtc+MmZubY+HChRgyZEhFZaL/4JkxqmqeFDxF8M/rsPzARgDA25Zv4bvhc9DE1ErmZERE5adCz4zl5+fDwYE3ciSil6OrrYOv+o7Gj+NDUL92XfyZ+Dd6zRuKnX8ckjsaEZEs1C7Ghg8fjh9++KEishBRNdKtVWccCYyE/Zt2yMnLxegNMzDl+3nIzX8sdzQiotdK7cuUEydORGRkJNq0aYM2bdpAV1f1J+pLliwp14DVHS9TUlX3tOApluwLx9J9YRBCoLlFU3znMwdvmdvIHY2I6KVV6K8pu3XrVvLBJAkxMTHqHI5egMUYVRcn/voDY8Jm4m7WAxjqGWD+AD/0t+8jdywiopfC+4xVISzGqDq5m3UfY8O+wfG//gAAfN7ZFUED/FBT31DmZERE6qnQCfxERBWloVF9/DghBP4fjYSWpIUtv+/DB0FDceX2dbmjERFVmDKfGfvkk0/KdMAdO3a8UiBSxTNjVF2dvhaL0etnIDXzLgx09TG3/2QMdPyIj10jIo1QIWfGjI2Ny7QQEZUH+zftcHh6JLq16ozHT/IwZVMQxobNRPbjHLmjERGVK84Zq+R4Zoyqu8LCQqyKjkLQ7jUoKCxAExNLfOczF29bviV3NCKiEnHOGBFVGVpaWhjnPAS7pqxGo7qm+OdOIvosGI7wY9vAf0sSUVXAYoyINMK7Tdvg8PRIOLd5D3lP8xGweRF81gUi61G23NGIiF4JizEi0hh1axojYvRCzPp0InS1dfDL+Rj0nOsBRcIVuaMREb00FmNEpFEkScLIngOwe+paWNY3x617yXBb6IN1R37iZUsi0kgsxohII7W3aYXDgZHoY9cVTwqe4uutSzFszZdIz8mUOxoRkVpeqhj7/vvv4ejoCAsLCyQkJAAAQkJCsHv37nINR0RUGuMatbF+RBDmfTEVejq6OHDhOHrO9cS5f/6UOxoRUZmpXYytXr0akydPhqurKzIyMlBQUAAAqFOnDkJCQso7HxFRqSRJglfXT7F32nrYNHwDtx+kwn3RSIQe2oTCwkK54xERvZDaxdiKFSuwbt06BAYGQltbW7m+Q4cOuHTpklrHOn78ONzc3GBhYQFJkrBr164X7hMVFYW2bduiRo0aMDc3h5eXF+7fv6/cHhERAUmSVBYDAwOVY+zYsQO9e/dG/fr1IUkSFApFif0JIeDi4lIk3/379/HBBx/AwsIC+vr6sLS0xLhx45CVlaVsc+zYsSJZJElCampqmd8jIiqb1lbNcOirjejboReeFhbg2x0rMWTVVNzPzpA7GhFRqdQuxuLj42FnZ1dkvb6+PnJy1Lszdk5ODtq2bYvQ0NAytT958iQ8PDzg7e2NuLg4bN26FWfOnIGPj49KOyMjI6SkpCiXfy+l/rffLl26YMGCBS/sMyQkpNjHr2hpacHd3R179uzB33//jYiICBw+fBijRo0q0vbq1asqeUxMTMo0XiJST23DmljtPRvBg/xhoKuPI3+eQs85Q/D7NYXc0YiISqSj7g42NjZQKBSwtrZWWX/gwAG0aNFCrWO5uLjAxcWlzO1Pnz6Nxo0bY8KECcosI0eOLFJUSZIEMzOzEo8zZMgQAMDNmzdL7U+hUGDx4sU4e/YszM3NVbbVrVsXo0ePVr62trbGmDFjEBwcXOQ4JiYmqFOnTql9/SsvLw95eXnK1/8900ZELyZJEoa81xfv2LTCiHXTcT0tAf2WjsU0Nx+Md/aAlhZ/t0RElYva/1WaPHkyxo4di59+evYz8jNnzmDu3LkICAjAtGnTKiKjkr29PRITE7Fv3z4IIZCWloZt27bB1dVVpV12djasra1haWkJd3d3xMXFqd1Xbm4uBg4ciNDQ0FILu38lJydjx44dcHJyKrKtXbt2MDc3R69evXDy5MlSjxMUFKTyrE9LS0u1sxMR0PKNN3EwIByfdnJBQWEBgnavwYAVvribdf/FOxMRvU7iJWzatEnY2toKSZKEJEmiUaNGYv369S9zKCUAYufOnS9st2XLFlGrVi2ho6MjAAg3NzeRn5+v3H7q1CmxceNGERsbK44dOyY+/PBDYWRkJBITE4scKz4+XgAQsbGxRbaNGDFCeHt7vzDfF198IQwNDZVZHj16pNz2119/iTVr1oizZ8+KkydPimHDhgkdHR1x7ty5Esf3+PFjkZmZqVwSExMFAJGZmfnC94aIivfjyZ9F4/FOwnRkJ9Haz1WcuPKH3JGIqIrLzMws8/f3SxVj/8rJyRFpaWmvcoj/H6QMxVhcXJwwNzcXCxcuFBcuXBAHDhwQrVu3Fl5eXiXuk5+fL5o2bSqmT59eZFtJxdju3buFra2tePjw4QvzpaSkiCtXrojdu3eLli1bitGjR5c6hvfff18MHjy41Db/pc6HSUQl++v2P+L9WQOE6chOwmxUZ7Fwz3fiacFTuWMRURWlzve32pcp58yZg/j4eABAjRo1Xutk9KCgIDg6OsLPzw9t2rSBs7MzVq1ahbCwMKSkpBS7j66uLuzs7HD9+vUy9xMTE4MbN26gTp060NHRgY7Os6l1/fr1Q9euXVXampmZoXnz5vjoo4+wdu1arF69usQsANCxY0e1shBR+WhmYYP9/mEY6OgGIQQW792Az5dNQFrmPbmjEVE1p3YxtnXrVtja2sLBwQGrVq3CvXuv7z9kubm5RSbf/nt7DVHCY1AKCgpw6dKlIhPwS+Pv74+LFy9CoVAoFwBYunQpwsPDS9zv33sa/XcC/vMUCoVaWYio/NTQM8CSIYEIHfYNaugb4uTVc+g+ZwiOXf6f3NGIqBpT+9eUFy5cQFxcHKKiorBo0SL4+vqiV69eGDRoEPr27YsaNWqU+VjZ2dkqZ4ni4+OhUChQr149WFlZISAgALdv30ZkZCQAwM3NDT4+Pli9ejWcnZ2RkpICX19fdOzYERYWFgCA2bNno3PnzrC1tUVGRgaCg4ORkJCA4cOHK/t58OABbt26heTkZADPbj0BPDvL9d/leVZWVrCxsQEA7Nu3D2lpaXj33XdRq1YtxMXFwc/PD46OjmjcuDGAZ7fFsLGxQatWrfD48WOsX78eMTExOHTokBrvOBGVt36dPkC7xi0xYl0g4pKuYcAKX0xw9oCfmw90tNX+zyIR0at51Wuiv/32mxgzZoxo2LChqF27tlr7Hj16VAAosnh6egohhPD09BROTk4q+yxfvly0bNlSGBoaCnNzczFo0CCRlJSk3O7r6yusrKyEnp6eMDU1Fa6uruL8+fMqxwgPDy+235kzZ5aYFc/NGYuJiRH29vbC2NhYGBgYiDfffFN8+eWXIj09XdlmwYIFomnTpsLAwEDUq1dPdO3aVcTExKj1HnHOGFHFeZT/WEyLWiBMR3YSpiM7iY+CR4jbD8pnHiwRVW/qfH9LQpRwfa+MFAoFNm3ahM2bN+P+/ft49OjRqxyOnpOVlQVjY2NkZmbCyMhI7jhEVdLus4cxZdM8ZD/ORb2axlg+dCZ6tnaQOxYRaTB1vr9f6u6H8fHxmDt3Llq1aoUOHTogNjYWs2bN4mN+iEgjuXfoicOBkWhj1RwPcjIxOHQyZm9fgScFT+WORkTVgNpnxjp37ow//vgDbdq0waBBgzBgwAA0atSoovJVezwzRvT65D3Jx7c7VmL90S0AgHds3saa4d/Csj5/dENE6qnQM2M9evTApUuXEBsbi6lTp7IQI6IqQ19XD3P6T0b4qAUwrlEb5+L/RM+5Htiv+FXuaERUhb3ynDGqWDwzRiSPW/eSMWrD1zgf/+xxaj7d++PrT8ZBT0dX5mREpAnU+f4uUzE2efJkfPvtt6hZsyYmT55catslS5aol5ZKxWKMSD75T59g3q7VWHP4BwBAW+sW+G74HFg35BUBIiqdOt/fZbqhTmxsLJ48eaL830RE1YGeji6++XQCHN5qj4kbZ+NCwhX0nOuBJUMC4fZOd7njEVEVwcuUlRzPjBFVDrcfpGH0hq9x5sZFAIDn+59g1mcTYaCrL3MyIqqMKnQCv5eXFx4+fFhkfU5ODry8vNQ9HBGRRmhUzxQ7Jq/ChA88AQAbj+9AnwXDcSPtlszJiEjTqX1mTFtbGykpKUUeEH7v3j2YmZnh6VPel6c88cwYUeVzNO53jIuYhfsP01FTvwaCB32JTzo6yx2LiCqRCjkzlpWVhczMTAgh8PDhQ2RlZSmX9PR07Nu3r0iBRkRUFXVr1RlHAiPh8FZ75OTlYkzYTEz5fh5y8x/LHY2INFCZz4xpaWlBkqSSDyRJmDVrFgIDA8stHPHMGFFlVlBYgMV7w7B0XxiEEGhu0RTf+czBW+Y2ckcjIpmV+60tAODXX3+FEALdu3fH9u3bUa9ePeU2PT09WFtbw8LC4tWSUxEsxogqv9/+OosxYTNxJ+s+DPUMMH+AH/rb95E7FhHJqEKKsX8lJCTAysqq1LNkVH5YjBFphrtZ9zE27Bsc/+sPAMBnnV0xf4AfauobypyMiORQob+mjImJwbZt24qs37p1KzZu3Kju4YiIqoSGRvWxecIy+H80ElqSFrb+vg8fBA3FldvX5Y5GRJWc2sVYUFAQGjRoUGS9iYkJ5s2bVy6hiIg0kZaWFnxdh2HH5FUwr9MQ11IT4DLfG1G/7QZv6UhEJVG7GLt16xZsbIpOTrW2tsatW7zfDhFR5zfb4fD079G9lT0eP8nDlE1BGBM2E9mPc+SORkSVkNrFmImJCS5evFhk/YULF1C/fv1yCUVEpOnq16qDTWMX4+tPxkFbSxs7/ziEXnM9cenWVbmjEVElo3YxNmDAAEyYMAFHjx5FQUEBCgoKEBMTg4kTJ+KLL76oiIxERBpJS0sLY3sPxu6pa9Conhni7yahz8LhCD+2jZctiUhJ7V9T5ufnY8iQIdi6dSt0dJ49Z7ywsBAeHh5Ys2YN9PT0KiRodcVfUxJVDek5mfDdOAcHL54AAHzYvjumufngTtYDNDGxhEVd3jSbqCqp0Ftb/Ovvv//GhQsXYGhoiNatW8Pa2vqlwlLpWIwRVR1CCKyP2YLZO1bgScH/f3SclqSFRYP9MdDxIxnTEVF5ei3FWH5+PuLj49G0aVPlGTIqfyzGiKqeQxd/g8eqqSrrtLW08MfcXTxDRlRFVOh9xnJzc+Ht7Y0aNWqgVatWyl9Qjh8/HvPnz3+5xERE1UiNYm4EW1BYiEu3/pIhDRHJTe1iLCAgABcuXMCxY8dgYGCgXN+zZ0/89NNP5RqOiKgqamJiCS2p6H9+v/wxGGf/uSRDIiKSk9rF2K5du7By5Up06dJF5ZFIrVq1wo0bN8o1HBFRVWRR1wSLBvtDW+vZf4K1JC00qFUXqRl34b5oFFYe/B6FhYUypySi10XtyV53796FiUnROQ05OTl8XiURURkNdPwIXVt2RvydRNiYWMLIsCb8ohZg5x+HMGdnKE79fR7Lh85Ag9p15Y5KRBVM7TNjHTp0wN69e5Wv/y3A1q9fD3t7+/JLRkRUxVnUNYFjs3dgUdcEtQxqYpXXLCweHAADXX3ExJ1GzzkeOH0tVu6YRFTB1D4zNm/ePLi4uODy5ct4+vQpli1bhsuXL+PUqVP49ddfKyIjEVG1IEkSBnVxR3ubVhixLhDXUhPQb8lY+LkNx4QPPKGtpS13RCKqAGqfGevSpQsUCgWePn2K1q1b49ChQzAxMcHp06fxzjvvVERGIqJqpUUjWxwIiMDnnV1RKAqxYM93GLDcF3ez7ssdjYgqQJnuMzZ58mR8++23qFmzJo4fPw4HBwfeW+w14X3GiKq3n07vhf+PwXiU/xgNjephldcsvNf8XbljEdELlPtNX3V1dZGUlARTU1Noa2sjJSWl2En8VP5YjBHR3ynxGLFuOv5KvgFJkjDJ1QtT+njxsiVRJVbuN31t3Lgxli9fjl9//RVCCJw+fRrHjx8vdlHH8ePH4ebmBgsLC0iShF27dr1wn6ioKLRt2xY1atSAubk5vLy8cP/+/z91HxERAUmSVJb/3g8NAHbs2IHevXujfv36kCQJCoWixP6EEHBxcSmS7/79+/jggw9gYWEBfX19WFpaYty4ccjKylLZ/9ixY2jfvj309fVha2uLiIiIsrw1RERKb5nbYL//Bgzu4g4hBJbs3YBPl45DasZduaMRUTkoUzEWHByMDRs2oFu3bpAkCR9//DG6du1aZOnWrZtanefk5KBt27YIDQ0tU/uTJ0/Cw8MD3t7eiIuLw9atW3HmzBn4+PiotDMyMkJKSopySUhIKNJvly5dsGDBghf2GRISUuwtO7S0tODu7o49e/bg77//RkREBA4fPoxRo0Yp28THx6NPnz7o1q0bFAoFfH19MXz4cBw8eLBM4yUi+pehngEWDQ7Aau/ZqKlfA6evxaL7nCGIiTstdzQielVCDQ8fPhSSJIm///5bZGRkFLu8LABi586dpbYJDg4WTZo0UVm3fPly0ahRI+Xr8PBwYWxsXKY+4+PjBQARGxtb7PbY2FjRqFEjkZKSUqZ8y5YtE2+88Yby9bRp00SrVq1U2vTv3184OzuXKZ8QQmRmZgoAIjMzs8z7EFHVdiM1QfSYM0SYjuwkTEd2EnN2hIr8p0/kjkVE/6HO93eZzoxNnjwZOTk5qFWrFo4ePQobGxsYGxsXu1Qke3t7JCYmYt++fRBCIC0tDdu2bYOrq6tKu+zsbFhbW8PS0hLu7u6Ii4tTu6/c3FwMHDgQoaGhMDMze2H75ORk7NixA05OTsp1p0+fRs+ePVXaOTs74/Tpkv8lm5eXh6ysLJWFiOi/mpha4Zdp6zDM6VMAwIqDkfhk8WjcfpAmczIiehllKsZWrFiB7OxsAED37t3x4MGDCg1VEkdHR0RFRaF///7Q09ODmZkZjI2NVS5zNmvWDGFhYdi9ezc2bdqEwsJCODg4ICkpSa2+Jk2aBAcHB7i7u5fabsCAAahRowYaNWoEIyMjrF+/XrktNTUVpqamKu1NTU2RlZWFR48eFXu8oKAgleLW0tJSrdxEVD0Y6OojaMBUrB8xD0aGtfDHP5fQc+4QHLp4Qu5oRKQmWSfwq+vy5cuYOHEiZsyYgXPnzuHAgQO4efOmyjwte3t7eHh4oF27dnBycsKOHTvQsGFDrF27tsz97NmzBzExMQgJCXlh26VLl+L8+fPYvXs3bty4gcmTJ7/M0JQCAgKQmZmpXBITE1/peERUtX3Yvjuiv9qIdtYtkZ6TBY9Vfpi5bRnynz6ROxoRlVGZbhYWHByMUaNGISgoSDmBvziSJKGgoKBcA/5XUFAQHB0d4efnBwBo06YNatasiffeew9z5syBubl5kX10dXVhZ2eH69evl7mfmJgY3LhxA3Xq1FFZ369fP7z33ns4duyYcp2ZmRnMzMzQvHlz1KtXD++99x6+/vprmJubw8zMDGlpqpcN0tLSYGRkBENDw2L71tfXh76+fpmzEhFZN2yEPX5rMXdnKNYe2Yy1h3/EmesXsGb4HFg3sJA7HhG9QJnOjPXt2xepqanIysqCEAJXr15Fenp6kaWiL1/m5uZCS0s1srb2s/vsiBJul1ZQUIBLly4VW6iVxN/fHxcvXoRCoVAuwLOzYOHh4SXuV1hYCODZvC/g2Vm6I0eOqLSJjo7mMzyJqNzp6ehi1me+2Dh6IerUMELszcvoNdcDe2OPyh2NiF5Ardvo/3cCf3ncgT87O1vljFV8fDwUCgXq1asHKysrBAQE4Pbt24iMjAQAuLm5wcfHB6tXr4azszNSUlLg6+uLjh07wsLi2b/+Zs+ejc6dO8PW1hYZGRkIDg5GQkIChg8fruznwYMHuHXrFpKTkwEAV69eBfD/z3L9uzzPysoKNjY2AIB9+/YhLS0N7777LmrVqoW4uDj4+fnB0dERjRs3BgCMGjUKK1euxLRp0+Dl5YWYmBhs2bJF5UHrRETlybnt+zg8PRKj1n+Ns/9cgvfaAHh1/RQz+o2HgS7PuhNVSmX9ieZPP/0k8vLylK8TExNFQUGB8nVOTo5YsGCBGj/6FOLo0aMCQJHF09NTCCGEp6encHJyUtln+fLlomXLlsLQ0FCYm5uLQYMGiaSkJOV2X19fYWVlJfT09ISpqalwdXUV58+fVzlGeHh4sf3OnDmzxKx47tYWMTExwt7eXhgbGwsDAwPx5ptvii+//FKkp6cXGWO7du2Enp6eaNKkiQgPD1frPeKtLYjoZeQ/fSJmb1+hvP1FzzlDxD9pt+SORVRtqPP9XabHIQEo8hgkIyMjKBQKNGnSBMCzuVAWFhYVOmesOuLjkIjoVRz58xTGR8zGg+wM1DKogUWDAtD33V5yxyKq8sr9cUhA0TlZZazhiIhIRj3edsCRwEh0tm2H7Me5GLXha/hFzcej/MdyRyOi/1PmYoyIiDSTeV0TbJu0EpNch0GSJHx/YhdcF3jjWupNuaMREViMERFVCzraOvjyo5H4acIyNDSqhyu3b6D3vKHY8vs+uaMRVXtq/STy4MGDykceFRYW4siRI/jzzz8BABkZGeUejoiIytf7LTriSOD3GBM2E79dPYsJEbNx8uo5zPtiKmrqF3//QyKqWGWewP/8/b2KPVgF3/S1OuIEfiKqCAWFBVi2fyMW/bIehaIQb5o1xnc+c9GiUVO5oxFVCRUygb+wsPCFCwsxIiLNoK2ljcl9vLBt0kqYGTfEtdSbcJnvhajfdvMHWkSvGeeMERFVYw5vtcfh6ZHo1qozHj/Jw5RNQRgbNhPZj3PkjkZUbbAYIyKq5hrUrouosUsQ+PEYaGtpY8cfh9B73lD8mfi33NGIqgUWY0REBC0tLYx39sCuKavRqK4p/rmTiD4LhiP82DZetiSqYCzGiIhI6d2mbRAdGInebbog72k+AjYvgs+6QGQ9ypY7GlGVxWKMiIhU1KtljI2jgzHr04nQ1dbBL+dj0HOuB2JvXpY7GlGVxGKMiIiKkCQJI3sOwO6pa2FZ3xy37iXjo+AR+O7IZl62JCpnZbrPWN26dSFJUpkO+ODBg1cORf8f7zNGRHLLzH2Iyd/Pxd7YYwAA5zbvIcRzOurWNJY3GFElps73d5mKsY0bN5a5c09PzzK3pRdjMUZElYEQAuG/bsc325Yh/+kTNKpnhrXDv0WHJq3ljkZUKZV7MUbyYTFGRJXJpVtXMWJdIOLvJkFbSxsB7qMwptegMj2lhag6qZA78Bfn8ePHyMrKUlmIiKjqam3VDIe+2oi+HXqhoLAAc3aGYnDoFNx7mC53NCKNpXYxlpOTg3HjxsHExAQ1a9ZE3bp1VRYiIqraahvWxGrv2Vg0yB8GuvqIiTuNnnM8cPparNzRiDSS2sXYtGnTEBMTg9WrV0NfXx/r16/HrFmzYGFhgcjIyIrISERElYwkSRj8Xl/s99+AN82skZp5F/2WjMXSfWEoKORzionUofacMSsrK0RGRqJr164wMjLC+fPnYWtri++//x4//vgj9u3bV1FZqyXOGSOiyi7ncS78Ny/C1t+f/ff//ebvItTrGzQ0qi9vMCIZVeicsQcPHqBJkyYAACMjI+WtLLp06YLjx4+/RFwiItJkNQ1qYMXQGVjm+TUM9Qxw/K8/0H3OEJz46w+5oxFpBLWLsSZNmiA+Ph4A0Lx5c2zZsgUA8PPPP6NOnTrlGo6IiDRHf/s+OOAfjuYWTXE36wE+XzYBC39ex8uWRC+gdjE2bNgwXLhwAQDg7++P0NBQGBgYYNKkSfDz8yv3gEREpDmaWdhgn/8GDHL8CEIILNm7AZ8uHYfUjLtyRyOqtF75PmMJCQk4d+4cbG1t0aZNm/LKRf+Hc8aISFPtOHMQflELkJOXi3q16mDlsJno3spe7lhErwVv+lqFsBgjIk12I+0WRq6fjj8T/wYAjHf2wLSPRkBXW0fmZEQVq0In8E+YMAHLly8vsn7lypXw9fVV93BERFSFNTW1wi/T1mGoUz8AwIqDkfhk8WjcfpAmczKiykPtYmz79u1wdHQsst7BwQHbtm0rl1BERFR1GOjqY/4AP6zzmYfaBjXxxz+X0HPuEBy6eELuaESVgtrF2P3792FsbFxkvZGREe7du1cuoYiIqOpxe6c7DgdGoq11C6TnZMFjlR9m/t+Dx4mqM7WLMVtbWxw4cKDI+v379yvvP0ZERFQc64aNsGfqWozo/gUAYO3hH+G+aCQS7iXLnIxIPmrPoJw8eTLGjRuHu3fvonv37gCAI0eOYPHixQgJCSnvfEREVMXo6+ph9ue+cHirPSZGfovYm5fRa64HlnoEoo9dN7njEb12L/VrytWrV2Pu3LlITn72L5nGjRvjm2++gYeHR7kHrO74a0oiqsoS76dg1PqvcS7+TwCAV9dPMaPfeBjo6sucjOjVVOivKQFg9OjRSEpKQlpaGrKysvDPP/+8VCF2/PhxuLm5wcLCApIkYdeuXS/cJyoqCm3btkWNGjVgbm4OLy8v3L9/X7k9IiICkiSpLAYGBirH2LFjB3r37o369etDkiQoFIoS+xNCwMXFpUi+CxcuYMCAAbC0tIShoSFatGiBZcuWqex77NixIlkkSUJqamqZ3h8ioqrOsr45dk1dg7G9BwMAwo5tg9tCH8TfSZQ5GdHr81LF2L8aNmyIWrVqvfT+OTk5aNu2LUJDQ8vU/uTJk/Dw8IC3tzfi4uKwdetWnDlzBj4+PirtjIyMkJKSolwSEhKK9NulSxcsWLDghX2GhIRAkqQi68+dOwcTExNs2rQJcXFxCAwMREBAAFauXFmk7dWrV1XymJiYlGm8RETVga62Dr7+ZBw2jV2CejWNcSnxb/Sa54ldZ6Pljkb0WpRpzlj79u1x5MgR1K1bF3Z2dsUWJ/86f/58mTt3cXGBi4tLmdufPn0ajRs3xoQJEwAANjY2GDlyZJGiSpIkmJmZlXicIUOGAABu3rxZan8KhQKLFy/G2bNnYW5urrLNy8tL5XWTJk1w+vRp7NixA+PGjVPZZmJiwud2EhG9QM/WDjg8/XuM2TADv19XYNT6r3Hy6jnM/swXhnoGLz4AkYYqUzHm7u4OfX195f8urRirSPb29vjqq6+wb98+uLi44M6dO9i2bRtcXV1V2mVnZ8Pa2hqFhYVo37495s2bh1atWqnVV25uLgYOHIjQ0NBSC7v/yszMRL169Yqsb9euHfLy8vD222/jm2++KfY+bf/Ky8tDXl6e8nVWVpZauYmINJlFXRNsm7QSi/duQMj+CHx/YhfO/nMJ3/nMxZtmjeWOR1QxRCUBQOzcufOF7bZs2SJq1aoldHR0BADh5uYm8vPzldtPnTolNm7cKGJjY8WxY8fEhx9+KIyMjERiYmKRY8XHxwsAIjY2tsi2ESNGCG9v7zLnO3nypNDR0REHDx5Urvvrr7/EmjVrxNmzZ8XJkyfFsGHDhI6Ojjh37lyJx5k5c6YAUGTJzMx8wTtDRFS1HIv7XbSa+oEwHdlJ2EzoKrac3id3JKIyy8zMLPP3t9rFmI2Njbh3716R9enp6cLGxkbdw/3/IGUoxuLi4oS5ublYuHChuHDhgjhw4IBo3bq18PLyKnGf/Px80bRpUzF9+vQi20oqxnbv3i1sbW3Fw4cPy5Tv0qVLokGDBuLbb78tNb8QQrz//vti8ODBJW5//PixyMzMVC6JiYksxoio2krNuCv6LRkrTEd2EqYjO4kJEbNF9uNcuWMRvZA6xZjaE/hv3ryJgoKCIuvz8vKQlJT0cqfnyigoKAiOjo7w8/NDmzZt4OzsjFWrViEsLAwpKSnF7qOrqws7Oztcv369zP3ExMTgxo0bqFOnDnR0dKCj8+xqbr9+/dC1a1eVtpcvX0aPHj0wYsQITJ8+/YXH7tixY6lZ9PX1YWRkpLIQEVVXpsYN8NPEZfBz84GWpIWfTu+Fy3wv/JX8j9zRiMpNmW/6umfPHuX/PnjwoMojkQoKCnDkyBHY2NiUb7rn5ObmKgujf2lrawN4dguK4hQUFODSpUtF5pWVxt/fH8OHD1dZ17p1ayxduhRubm7KdXFxcejevTs8PT0xd+7cMh1boVAU+TEAERGVTFtLG1P6eKOzbTuMCZuJv1Pi4RI0DHO/mIIBDm6yzWMmKi9lLsb69u0L4NkvFT09PVW26erqonHjxli8eLFanWdnZ6ucJYqPj4dCoUC9evVgZWWFgIAA3L59G5GRkQAANzc3+Pj4YPXq1XB2dkZKSgp8fX3RsWNHWFhYAABmz56Nzp07w9bWFhkZGQgODkZCQoJKcfXgwQPcunVLedPaq1evAgDMzMxUludZWVkpC84///wT3bt3h7OzMyZPnqy8d5i2tjYaNmwI4NltMWxsbNCqVSs8fvwY69evR0xMDA4dOqTW+0RERIBjs3dwODASEyJm4+jl3zH5+3k4efUcFgychloGNeWOR/Ty1L0G2rhxY3H37t2XuXxaxNGjR4udrO7p6SmEEMLT01M4OTmp7LN8+XLRsmVLYWhoKMzNzcWgQYNEUlKScruvr6+wsrISenp6wtTUVLi6uorz58+rHCM8PLzYfmfOnFliVjw3Z6ykifbW1tbKNgsWLBBNmzYVBgYGol69eqJr164iJiZGrfdInWvORETVQUFBgVi+f6OwGO0gTEd2Eg4zPhOXbl2VOxaRCnW+v1/qcUj0+vBxSERExTtz/QJGbfgayel3oK+jh1mfTYTn+5/wsiVVChX+OKQjR47gww8/RNOmTdG0aVN8+OGHOHz48EuFJSIiehkdbdvicOD36NXaEXlP8+H/YzBGrJuOrEfZckcjUovaxdiqVavwwQcfoHbt2pg4cSImTpwIIyMjuLq6lvmxRkREROWhXi1jRI5ZhG8+nQAdLW38fP4Ies31hCLhitzRiMpM7cuUb7zxBvz9/Ys88ic0NBTz5s3D7du3yzVgdcfLlEREZXM+Pg4j109H4v0U6GrrYMYn4zG8++e8bEmyqNDLlBkZGfjggw+KrO/duzcyMzPVPRwREVG5aG/TCocDI9HHriueFDzF11uXYtiaL5Gew+8mqtzULsY++ugj7Ny5s8j63bt348MPPyyXUERERC/DuEZtrB8RhLn9p0BPRxcHLhxHz7meOPfPn3JHIyqR2pcp58yZg0WLFsHR0RH29vYAgN9//x0nT57ElClTVE7FTZgwoXzTVkO8TElE9HIu3voLI9ZNx827SdDR0kZA39EY3XMgtLRe6rdrRGpR5/tb7WKsrHfZlyQJ//zDx1W8KhZjREQv7+GjHEyNCsLus89+8d/jbQcsHzoD9WvVkTcYVXkVWozR68VijIjo1QghsOm33fh6y1I8fpIH8zoNsdr7W3R+s53c0agKq/D7jAHAvXv3cO/evZfdnYiI6LWQJAlD3uuLfV+uh62pNVIy7uKTJWMQsi8chYWFcscjUq8Yy8jIwNixY9GgQQOYmprC1NQUDRo0wLhx45CRkVFBEYmIiF5dyzfexMGAcHzayQWFohDz96zFgBW+uJt1X+5oVM2V+TLlgwcPYG9vj9u3b2PQoEFo0aIFAODy5cv44YcfYGlpiVOnTqFu3boVGri64WVKIqLyt/nULwjYvAiP8h/DxKg+VnnNQpfmHeSORVVIhcwZ8/X1xZEjR3D48GGYmpqqbEtNTUXv3r3Ro0cPLF269OWTUxEsxoiIKsbV5HiMWB+Iq8n/QJIkTHL1wpQ+XtDW0pY7GlUBFTJnbNeuXVi0aFGRQgwAzMzMsHDhwmLvP0ZERFQZNbOwwX7/MAx0dIMQAkv2bsBnIeORmnFX7mhUzZS5GEtJSUGrVq1K3P72228jNTW1XEIRERG9DjX0DLBkSCBCh32DGvqGOPX3efSY64Gjcb/LHY2qkTIXYw0aNMDNmzdL3B4fH4969eqVRyYiIqLXql+nDxD91Ua0euNN3H+YjgErfDF35yo8LXgqdzSqBspcjDk7OyMwMBD5+flFtuXl5eHrr78u9pmVREREmqCpqRX2frkenu9/AgBYcTASnywZg9sP0mRORlVdmSfwJyUloUOHDtDX18fYsWPRvHlzCCFw5coVrFq1Cnl5eTh79iwsLS0rOnO1wgn8RESv3+6zhzF1UxAePs5B3ZpGWOY5A73bdJE7FmmQCrsDf3x8PMaMGYNDhw7h390kSUKvXr2wcuVK2NravlpyKoLFGBGRPG7eTcKIddNx8dZfAICRPQcgsO8Y6OnoypyMNEGFPw4pPT0d165dAwDY2tpyrlgFYjFGRCSfvCf5mLMzFOtifgIA2DVuiTXD58C6gYXMyaiy47MpqxAWY0RE8tuv+BW+kXOQmfsQRoa1sNQjEH3suskdiyqx1/JsSiIiourCpZ0TDgdG4h2bt5H1KBveawPw1eZFuHknCb9dPYfk9DtyRyQNxjNjlRzPjBERVR5PCp4iaNdqrIqOUlmvJWlh0WB/DHT8SKZkVNnwzBgREVEF0NXWwYx+47HM82uV9YWiEH5R83mGjF4KizEiIiI1NapnVmRdQWEhribfkCENaToWY0RERGpqYmIJLanoV+iMrctwPTVBhkSkyViMERERqcmirgkWDfaHttazr1EtSUJN/Rq4lnoTvYOGYtv/9suckDQJJ/BXcpzAT0RUeSWn30H8nUTYmFhCW0sLY8Jm4uTVcwCALxw+xLwvpqKGnoHMKUkOvM9YFcJijIhIcxQUFmDpvnAs3rsBQgi8ZW6D73zmorlFE7mj0WvGX1MSERHJQFtLG1M/HI6tvithYlQff6fEwyVoGH489Qt47oNKwmKMiIionHVp9g6OTI+EU4uOePQkD5Mi52B8xCzkPM6VOxpVQizGiIiIKkBDo/r4cXwIAtxHQUvSwrb/HYBz0DBcTromdzSqZGQtxo4fPw43NzdYWFhAkiTs2rXrhftERUWhbdu2qFGjBszNzeHl5YX79+8rt0dERECSJJXFwEB18uSOHTvQu3dv1K9fH5IkQaFQlNifEAIuLi5F8l24cAEDBgyApaUlDA0N0aJFCyxbtqzI/seOHUP79u2hr68PW1tbREREvHCMRERUNWhpaWGiy1DsmLwK5nUa4npaAlzme+P7E7t42ZKUZC3GcnJy0LZtW4SGhpap/cmTJ+Hh4QFvb2/ExcVh69atOHPmDHx8fFTaGRkZISUlRbkkJKje8yUnJwddunTBggULXthnSEgIJEkqsv7cuXMwMTHBpk2bEBcXh8DAQAQEBGDlypXKNvHx8ejTpw+6desGhUIBX19fDB8+HAcPHizTeImIqGro/GY7HJ7+Pbq3skfe03z4Rc3H6A0z8PBRjtzRqDIQlQQAsXPnzlLbBAcHiyZNmqisW758uWjUqJHydXh4uDA2Ni5Tn/Hx8QKAiI2NLXZ7bGysaNSokUhJSSlTvjFjxohu3bopX0+bNk20atVKpU3//v2Fs7Nzicd4/PixyMzMVC6JiYkCgMjMzCzTmIiIqPIqKCgQKw9+LyxGOwjTkZ1E5+n9xIWEK3LHogqQmZlZ5u9vjZozZm9vj8TEROzbtw9CCKSlpWHbtm1wdXVVaZednQ1ra2tYWlrC3d0dcXFxaveVm5uLgQMHIjQ0FGZmRR97UZzMzEzUq1dP+fr06dPo2bOnShtnZ2ecPn26xGMEBQXB2NhYuVhaWqqdnYiIKictLS2M7T0Yu6euQaN6Zoi/m4QPF/pgw9GtvGxZjWlUMebo6IioqCj0798fenp6MDMzg7GxscplzmbNmiEsLAy7d+/Gpk2bUFhYCAcHByQlJanV16RJk+Dg4AB3d/cytT916hR++uknjBgxQrkuNTUVpqamKu1MTU2RlZWFR48eFXucgIAAZGZmKpfExES1chMRUeXXoUlrHA7cCOc27yH/6RME/rQYw7/7Cpm5D+WORjLQqGLs8uXLmDhxImbMmIFz587hwIEDuHnzJkaNGqVsY29vDw8PD7Rr1w5OTk7YsWMHGjZsiLVr15a5nz179iAmJgYhISFlav/nn3/C3d0dM2fORO/evdUdlgp9fX0YGRmpLEREVPXUrWmMiNELMfszX+hq62Bv7FH0nOuB8/HqX80hzaZRxVhQUBAcHR3h5+eHNm3awNnZGatWrUJYWBhSUlKK3UdXVxd2dna4fv16mfuJiYnBjRs3UKdOHejo6EBHRwcA0K9fP3Tt2lWl7eXLl9GjRw+MGDEC06dPV9lmZmaGtLQ0lXVpaWkwMjKCoaFhmfMQEVHVJEkSRvT4Anv8voNVAwsk3k+B+6KRWHv4R162rEY0qhjLzc2FlpZqZG1tbQAo8f+0BQUFuHTpEszNzcvcj7+/Py5evAiFQqFcAGDp0qUIDw9XtouLi0O3bt3g6emJuXPnFjmOvb09jhw5orIuOjoa9vb2Zc5CRERVn13jloj+aiP62HXDk4KnmLltGYaunob0nEy5o9FroCNn59nZ2SpnrOLj46FQKFCvXj1YWVkhICAAt2/fRmRkJADAzc0NPj4+WL16NZydnZGSkgJfX1907NgRFhYWAIDZs2ejc+fOsLW1RUZGBoKDg5GQkIDhw4cr+3nw4AFu3bqF5ORkAMDVq1cBPDuT9d/leVZWVrCxsQHw7NJk9+7d4ezsjMmTJyM1NRXAs+KwYcOGAIBRo0Zh5cqVmDZtGry8vBATE4MtW7Zg79695f1WEhGRhjOuURvrR8xD+K/b8c22ZTh48QR6zvHAWp856NCktdzxqCJV8C87S3X06FEBoMji6ekphBDC09NTODk5qeyzfPly0bJlS2FoaCjMzc3FoEGDRFJSknK7r6+vsLKyEnp6esLU1FS4urqK8+fPqxwjPDy82H5nzpxZYlY8d2uLmTNnFnsMa2vrImNs166d0NPTE02aNBHh4eFqvUfq/DSWiIiqhosJf4nO0/sJ05GdhMVoB7HiQKQoKCiQOxapQZ3vb0kIXpSuzNR56jsREVUdDx/lwC9qPnadjQYAdG9lj+VDZ6BB7boyJ6OyUOf7W6PmjBEREVUXtQ1rYrX3bAQP8oeBrj5i4k6j5xwP/H5NIXc0KmcsxoiIiCopSZIw5L2+2PfletiaWiM18y4+WTIGIfvCUVhYKHc8KicsxoiIiCq5lm+8iYMB4fi0kwsKRSHm71mLASt8cTfrvtzRqBywGCMiItIANQ1qYMXQGVjqMR2Guvr49coZ9Jjjgd/+Oit3NHpFLMaIiIg0hCRJGODwIQ4ERKCZRRPcybqPz5aNR/DP61BQWCB3PHpJLMaIiIg0TDMLG+z3D8MABzcIIbB47wZ8FjIeaZn35I5GL4HFGBERkQaqoWeApR6BWDlsJmroG+LU3+fRfc4QHLv8P7mjkZpYjBEREWmwTzu54FBABFo2ssX9h+kYsMIXQbtW42nBU7mjURmxGCMiItJwtmbW2Pvleni8/zGEEFh2YCP6LR2L5PQ7ckejMmAxRkREVAUY6hlg4cAvsWb4t6hlUAP/u34BPecMweFLp+SORi/AYoyIiKgK6duhF6K/2og2Vs3wICcTg0MnY/b2FXjCy5aVFosxIiKiKsbGxBI/+62Dd7fPAACroqPQd9EoJN5PkTkZFYfFGBERURWkr6uHuf2nYMPIIBgZ1sK5+D/Ra64nDiiOyx2NnsNijIiIqArrY9cN0YGRaGfdEhm5WRi6Zhq+3rIU+U+fyB2N/g+LMSIioirOuoEF9vitxcieAwAA62J+glvwCCTcvS1zMgJYjBEREVULejq6mPXpRESOCUadGka4kHAFPed64OdzMXJHq/ZYjBEREVUjvdu8h8PTI/Fuk9Z4+DgHPuu+gv+PwXj8JE/uaNUWizEiIqJq5o16ZtgxZTXGOQ8BAET8uh1uC33wT9otmZNVTyzGiIiIqiFdbR1M/3gsosYtQb1adXAp8W/0mjcUu/6IljtatcNijIiIqBrr8bYDjgRGorNtO+Tk5WLUhq/hFzUfj/Ifyx2t2mAxRkREVM2Z1zXBtkkrMcl1GCRJwvcndsF1gTeupd6UO1q1wGKMiIiIoKOtgy8/GomfJixDg9p1ceX2DfSeNxRbft8nd7Qqj8UYERERKb3foiOOTP8eXZp1wKP8x5gQMRsTN36LnLxHckersliMERERkQpT4wb4aeIy+Ln5QEvSwk+n98Jlvhf+Sv5H7mhVEosxIiIiKkJbSxtT+nhjq+8KmBo3wN8p8XAJGoYfTv4MIYTc8aoUFmNERERUIsdm7+BwYCS6tuyER0/yMPn7uRgX/g2yH+fIHa3KYDFGREREpWpoVA8/jFuKwL5joK2lje1nDsI5aBjikq7JHa1KYDFGREREL6SlpYXxH3hgx+RQWNQ1wY20W3Cd743I4zt52fIVsRgjIiKiMutk2w7RgZHo2doReU/zMe2HBRi5fjoePuJly5fFYoyIiIjUUr9WHUSODsaMT8ZDR0sbe84dQa95nriQ8Jfc0TSSrMXY8ePH4ebmBgsLC0iShF27dr1wn6ioKLRt2xY1atSAubk5vLy8cP/+feX2iIgISJKkshgYGKgcY8eOHejduzfq168PSZKgUChK7E8IARcXl2LzTZgwAe+88w709fXRrl27IvvevHmzSBZJkvD777+/cJxERESVmZaWFsb0HoTdU9fijXpmuHk3CW7BPlh/dAsvW6pJ1mIsJycHbdu2RWhoaJnanzx5Eh4eHvD29kZcXBy2bt2KM2fOwMfHR6WdkZERUlJSlEtCQkKRfrt06YIFCxa8sM+QkBBIklTidi8vL/Tv37/UYxw+fFglzzvvvPPCfomIiDTBO03exuHASLi0dUL+0yeY/tMSDP8uAJm5D+WOpjF05OzcxcUFLi4uZW5/+vRpNG7cGBMmTAAA2NjYYOTIkUWKKkmSYGZmVuJxhgwZAuDZmavSKBQKLF68GGfPnoW5uXmR7cuXLwcA3L17FxcvXizxOPXr1y81DxERkSarU9MIYaPmY8PRLZi1fQX2xh7DxVtXsXb4HLS3aSV3vEpPo+aM2dvbIzExEfv27YMQAmlpadi2bRtcXV1V2mVnZ8Pa2hqWlpZwd3dHXFyc2n3l5uZi4MCBCA0NfeVC6qOPPoKJiQm6dOmCPXv2lNo2Ly8PWVlZKgsREVFlJ0kShnfvj5+nrYN1g0ZIvJ+Cj4JHYM3hH3jZ8gU0qhhzdHREVFQU+vfvDz09PZiZmcHY2FjlMmezZs0QFhaG3bt3Y9OmTSgsLISDgwOSkpLU6mvSpElwcHCAu7v7S+etVasWFi9ejK1bt2Lv3r3o0qUL+vbtW2pBFhQUBGNjY+ViaWn50v0TERG9bu2sWyA6cCM+bN8dTwsL8M225fBc7Yf0nEy5o1VaGlWMXb58GRMnTsSMGTNw7tw5HDhwADdv3sSoUaOUbezt7eHh4YF27drByckJO3bsQMOGDbF27doy97Nnzx7ExMQgJCTklfI2aNAAkydPRqdOnfDuu+9i/vz5GDx4MIKDg0vcJyAgAJmZmcolMTHxlTIQERG9bkaGtbDOZy7mD/CDvo4eDl38DT3neOCPGyVP6anONKoYCwoKgqOjI/z8/NCmTRs4Oztj1apVCAsLQ0pKSrH76Orqws7ODtevXy9zPzExMbhx4wbq1KkDHR0d6Og8m1rXr18/dO3a9ZXG0KlTp1Kz6Ovrw8jISGUhIiLSNJIkYahTP+z9cj2amFjidnoa+i4ejRUHI1FYWCh3vEpFo4qx3NxcaGmpRtbW1gaAEq9HFxQU4NKlS8VOwC+Jv78/Ll68CIVCoVwAYOnSpQgPD3+58P9HoVColYWIiEiTvW35Fg59FYFP3u2NgsICzN25CoNCJ+Pew3S5o1Uasv6aMjs7W+UsUXx8PBQKBerVqwcrKysEBATg9u3biIyMBAC4ubnBx8cHq1evhrOzM1JSUuDr64uOHTvCwsICADB79mx07twZtra2yMjIQHBwMBISEjB8+HBlPw8ePMCtW7eQnJwMALh69SoAwMzMTGV5npWVFWxsbJSvr1+/juzsbKSmpuLRo0fKoq1ly5bQ09PDxo0boaenBzs7OwDP7m8WFhaG9evXl+O7SEREVLnVMqiJUK9ZcGz2DgJ/WoKjcb+j5xwPrB4+G/Zv2skdT35CRkePHhUAiiyenp5CCCE8PT2Fk5OTyj7Lly8XLVu2FIaGhsLc3FwMGjRIJCUlKbf7+voKKysroaenJ0xNTYWrq6s4f/68yjHCw8OL7XfmzJklZgUgdu7cqbLOycmp2OPEx8cLIYSIiIgQLVq0EDVq1BBGRkaiY8eOYuvWrWq9R5mZmQKAyMzMVGs/IiKiyuhy0jXRZebnwnRkJ2E+yl4s2btBPC14KnescqfO97ckBH9vWpllZWXB2NgYmZmZnD9GRERVQk7eIwT8GIwtv+8DALzf/F2Een2Dhkb15Q1WjtT5/taoOWNERESk+WrqG2L50BlY5vk1DPUMcPyvP9B9zhCc+OsPuaPJgsUYERERyaK/fR8c8A9Hc4umuJv1AJ8vm4CFP69DQWGB3NFeKxZjREREJJtmFjbY578Bgxw/ghACS/ZuwGch45GacVfuaK8NizEiIiKSVQ09Aywe8hVWec1CTf0aOPX3efSY64Gjcb/LHe21YDFGRERElcInHZ1x6KsItHrjTdx/mI4BK3wxb9dqPC14Kne0CsVijIiIiCqNpqZW2Pvleni+/wkAYPmBjfhkyRjcfpAmc7KKw2KMiIiIKhUDXX0sGDgNa4fPQW2Dmjhz4yJ6zh2C6Esn5Y5WIViMERERUaXk3qEnogM3oo1Vc6TnZGFI6BTM2r4CT6rYZUsWY0RERFRpNW74Bn72+w7Du30OAFgdHQX3RSNx616yzMnKD4sxIiIiqtT0dfUwp/9khI9aAOMatXE+Pg695nliv+JXuaOVCxZjREREpBFc2jkh+quNaG/TCpm5DzFszZf4estS5D3JlzvaK2ExRkRERBrDqoEFdk1Zg1E9BwIA1sX8BLfgEUi4e1vmZC+PxRgRERFpFD0dXXzz6QREjlmEujWNcPHWX+g51wM/n4uRO9pLYTFGREREGql3my44HPg9OjZtg4ePc+Cz7it8+cNCPH6SJ3c0tbAYIyIiIo3VqJ4ptk9ehQkfeAIANh7fgQ8X+uCftFsyJys7FmNERESk0XS1dfBV39H4cXwI6teuiz8T/0aveUOx849DckcrExZjREREVCV0a9UZRwIjYf+mHXLycjF6wwxM+X4eHuU/ljtaqViMERERUZVhVqchtvquwOQ+3pAkCVEn98Blvjf+TomXO1qJWIwRERFRlaKjrYNpbj7YMnE5GhrVw1/JN+AcNAw/nd4rd7RisRgjIiKiKum95u/iSOD3eK95BzzKf4yJG7/FhIjZyMl7JHc0FSzGiIiIqMoyMa6PzROW4cuPRkBL0sKW3/fhg6BhuHL7htzRlFiMERERUZWmraWNSa5e2DZpJcyMG+Ja6k24zPdC1G+7cftBGn67eg7J6XdkyycJIYRsvdMLZWVlwdjYGJmZmTAyMpI7DhERkUa79zAd4yNm4Wjc7yrrtSQtLBrsj4GOH5VLP+p8f/PMGBEREVUbDWrXRdTYJRj/gYfK+kJRCL+o+bKcIWMxRkRERNWKlpYWnFp0KrK+oLAQ8XcSX3+e194jERERkcyamFhCS1Itg7S1tGBjYvnas7AYIyIiomrHoq4JFg32h7bWs1JIW0sLwYP8YVHX5LVn0XntPRIRERFVAgMdP0LXlp0RfycRNiaWshRiAIsxIiIiqsYs6prIVoT9i5cpiYiIiGQkazF2/PhxuLm5wcLCApIkYdeuXS/cJyoqCm3btkWNGjVgbm4OLy8v3L9/X7k9IiICkiSpLAYGBirH2LFjB3r37o369etDkiQoFIoS+xNCwMXFpdh8EyZMwDvvvAN9fX20a9eu2P0vXryI9957DwYGBrC0tMTChQtfOEYiIiKqPmQtxnJyctC2bVuEhoaWqf3Jkyfh4eEBb29vxMXFYevWrThz5gx8fHxU2hkZGSElJUW5JCQkFOm3S5cuWLBgwQv7DAkJgSRJJW738vJC//79i92WlZWF3r17w9raGufOnUNwcDC++eYbfPfdd2UYLREREVUHss4Zc3FxgYuLS5nbnz59Go0bN8aECRMAADY2Nhg5cmSRokqSJJiZmZV4nCFDhgAAbt68WWp/CoUCixcvxtmzZ2Fubl5k+/LlywEAd+/excWLF4tsj4qKQn5+PsLCwqCnp4dWrVpBoVBgyZIlGDFiRKl9ExERUfWgUXPG7O3tkZiYiH379kEIgbS0NGzbtg2urq4q7bKzs2FtbQ1LS0u4u7sjLi5O7b5yc3MxcOBAhIaGllrYleb06dN4//33oaenp1zn7OyMq1evIj09vdh98vLykJWVpbIQERFR1aVRxZijoyOioqLQv39/6OnpwczMDMbGxiqXOZs1a4awsDDs3r0bmzZtQmFhIRwcHJCUlKRWX5MmTYKDgwPc3d1fOm9qaipMTU1V1v37OjU1tdh9goKCYGxsrFwsLV//zeeIiIjo9dGoYuzy5cuYOHEiZsyYgXPnzuHAgQO4efMmRo0apWxjb28PDw8PtGvXDk5OTtixYwcaNmyItWvXlrmfPXv2ICYmBiEhIRUwitIFBAQgMzNTuSQmvv7HMhAREdHro1H3GQsKCoKjoyP8/PwAAG3atEHNmjXx3nvvYc6cOcXO69LV1YWdnR2uX79e5n5iYmJw48YN1KlTR2V9v3798N577+HYsWNlOo6ZmRnS0tJU1v37uqRLn/r6+tDX1y9zViIiItJsGnVmLDc3F1pazz1HSlsbwLNbUBSnoKAAly5dKrZQK4m/vz8uXrwIhUKhXABg6dKlCA8PL/Nx7O3tcfz4cTx58kS5Ljo6Gs2aNUPdunXLfBwiIiKqumQ9M5adna1yxio+Ph4KhQL16tWDlZUVAgICcPv2bURGRgIA3Nzc4OPjg9WrV8PZ2RkpKSnw9fVFx44dYWFhAQCYPXs2OnfuDFtbW2RkZCA4OBgJCQkYPny4sp8HDx7g1q1bSE5OBgBcvXoVwLOzVf9dnmdlZQUbGxvl6+vXryM7Oxupqal49OiRsmhr2bIl9PT0MHDgQMyaNQve3t748ssv8eeff2LZsmVYunRp+b6RREREpLmEjI4ePSoAFFk8PT2FEEJ4enoKJycnlX2WL18uWrZsKQwNDYW5ubkYNGiQSEpKUm739fUVVlZWQk9PT5iamgpXV1dx/vx5lWOEh4cX2+/MmTNLzApA7Ny5U2Wdk5NTsceJj49Xtrlw4YLo0qWL0NfXF40aNRLz589X6z3KzMwUAERmZqZa+xEREZF81Pn+loQo4foeVQqZmZmoU6cOEhMTYWRkJHccIiIiKoOsrCxYWloiIyMDxsbGpbbVqAn81dHDhw8BgLe4ICIi0kAPHz58YTHGM2OVXGFhIZKTk1G7du1SH8v0Mv6t2qvqWbeqPj6g6o+R49N8VX2MHJ/mq6gxCiHw8OFDWFhYFPnx4fN4ZqyS09LSwhtvvFGhfRgZGVXZPzKg6o8PqPpj5Pg0X1UfI8en+SpijC86I/Yvjbq1BREREVFVw2KMiIiISEYsxqoxfX19zJw5s8re8b+qjw+o+mPk+DRfVR8jx6f5KsMYOYGfiIiISEY8M0ZEREQkIxZjRERERDJiMUZEREQkIxZjRERERDJiMVbFhYaGonHjxjAwMECnTp1w5syZUttv3boVzZs3h4GBAVq3bo19+/a9pqQvR53xRUREQJIklcXAwOA1plXP8ePH4ebmBgsLC0iShF27dr1wn2PHjqF9+/bQ19eHra0tIiIiKjznq1B3jMeOHSvyGUqShNTU1NcTWA1BQUF49913Ubt2bZiYmKBv3764evXqC/fTpL/BlxmjJv0drl69Gm3atFHeDNTe3h779+8vdR9N+vwA9ceoSZ9fcebPnw9JkuDr61tqu9f9ObIYq8J++uknTJ48GTNnzsT58+fRtm1bODs7486dO8W2P3XqFAYMGABvb2/Exsaib9++6Nu3L/7888/XnLxs1B0f8OwOyykpKcolISHhNSZWT05ODtq2bYvQ0NAytY+Pj0efPn3QrVs3KBQK+Pr6Yvjw4Th48GAFJ3156o7xX1evXlX5HE1MTCoo4cv79ddfMXbsWPz++++Ijo7GkydP0Lt3b+Tk5JS4j6b9Db7MGAHN+Tt84403MH/+fJw7dw5nz55F9+7d4e7ujri4uGLba9rnB6g/RkBzPr/n/fHHH1i7di3atGlTajtZPkdBVVbHjh3F2LFjla8LCgqEhYWFCAoKKrb9559/Lvr06aOyrlOnTmLkyJEVmvNlqTu+8PBwYWxs/JrSlS8AYufOnaW2mTZtmmjVqpXKuv79+wtnZ+cKTFZ+yjLGo0ePCgAiPT39tWQqT3fu3BEAxK+//lpiG037G3xeWcaoyX+HQghRt25dsX79+mK3afrn96/Sxqipn9/Dhw/Fm2++KaKjo4WTk5OYOHFiiW3l+Bx5ZqyKys/Px7lz59CzZ0/lOi0tLfTs2ROnT58udp/Tp0+rtAcAZ2fnEtvL6WXGBwDZ2dmwtraGpaXlC//1p2k06fN7Ve3atYO5uTl69eqFkydPyh2nTDIzMwEA9erVK7GNpn+GZRkjoJl/hwUFBdi8eTNycnJgb29fbBtN//zKMkZAMz+/sWPHok+fPkU+n+LI8TmyGKui7t27h4KCApiamqqsNzU1LXF+TWpqqlrt5fQy42vWrBnCwsKwe/dubNq0CYWFhXBwcEBSUtLriFzhSvr8srKy8OjRI5lSlS9zc3OsWbMG27dvx/bt22FpaYmuXbvi/PnzckcrVWFhIXx9feHo6Ii33367xHaa9Df4vLKOUdP+Di9duoRatWpBX18fo0aNws6dO9GyZcti22rq56fOGDXt8wOAzZs34/z58wgKCipTezk+R50KOzJRJWNvb6/yrz0HBwe0aNECa9euxbfffitjMiqrZs2aoVmzZsrXDg4OuHHjBpYuXYrvv/9exmSlGzt2LP7880/89ttvckepMGUdo6b9HTZr1gwKhQKZmZnYtm0bPD098euvv5ZYrGgidcaoaZ9fYmIiJk6ciOjo6Er9QwMWY1VUgwYNoK2tjbS0NJX1aWlpMDMzK3YfMzMztdrL6WXG9zxdXV3Y2dnh+vXrFRHxtSvp8zMyMoKhoaFMqSpex44dK3WRM27cOPzyyy84fvw43njjjVLbatLf4H+pM8bnVfa/Qz09Pdja2gIA3nnnHfzxxx9YtmwZ1q5dW6Stpn5+6ozxeZX98zt37hzu3LmD9u3bK9cVFBTg+PHjWLlyJfLy8qCtra2yjxyfIy9TVlF6enp45513cOTIEeW6wsJCHDlypMS5APb29irtASA6OrrUuQNyeZnxPa+goACXLl2Cubl5RcV8rTTp8ytPCoWiUn6GQgiMGzcOO3fuRExMDGxsbF64j6Z9hi8zxudp2t9hYWEh8vLyit2maZ9fSUob4/Mq++fXo0cPXLp0CQqFQrl06NABgwYNgkKhKFKIATJ9jhX20wCS3ebNm4W+vr6IiIgQly9fFiNGjBB16tQRqampQgghhgwZIvz9/ZXtT548KXR0dMSiRYvElStXxMyZM4Wurq64dOmSXEMolbrjmzVrljh48KC4ceOGOHfunPjiiy+EgYGBiIuLk2sIpXr48KGIjY0VsbGxAoBYsmSJiI2NFQkJCUIIIfz9/cWQIUOU7f/55x9Ro0YN4efnJ65cuSJCQ0OFtra2OHDggFxDeCF1x7h06VKxa9cuce3aNXHp0iUxceJEoaWlJQ4fPizXEEo0evRoYWxsLI4dOyZSUlKUS25urrKNpv8NvswYNenv0N/fX/z6668iPj5eXLx4Ufj7+wtJksShQ4eEEJr/+Qmh/hg16fMryfO/pqwMnyOLsSpuxYoVwsrKSujp6YmOHTuK33//XbnNyclJeHp6qrTfsmWLeOutt4Senp5o1aqV2Lt372tOrB51xufr66tsa2pqKlxdXcX58+dlSF02/97G4fnl3zF5enoKJyenIvu0a9dO6OnpiSZNmojw8PDXnlsd6o5xwYIFomnTpsLAwEDUq1dPdO3aVcTExMgT/gWKGxcAlc9E0/8GX2aMmvR36OXlJaytrYWenp5o2LCh6NGjh7JIEULzPz8h1B+jJn1+JXm+GKsMn6MkhBAVd96NiIiIiErDOWNEREREMmIxRkRERCQjFmNEREREMmIxRkRERCQjFmNEREREMmIxRkRERCQjFmNEREREMmIxRkRERCQjFmNERGpo3LgxQkJC5I5Rqg0bNqB3795q7XPv3j2YmJggKSmpglIRUUlYjBFRteDm5oYPPvig2G0nTpyAJEm4ePGi2seVJAm7du16xXTl5/Hjx/j6668xc+ZMAMD48ePRokWLYtveunUL2tra2LNnDxo0aAAPDw/lfkT0+rAYI6JqwdvbG9HR0cWe+QkPD0eHDh3Qpk0bGZKVr23btsHIyAiOjo4Ano37r7/+wqlTp4q0jYiIgImJCVxdXQEAw4YNQ1RUFB48ePBaMxNVdyzGiKha+PDDD9GwYUNERESorM/OzsbWrVvh7e0NANi+fTtatWoFfX19NG7cGIsXLy7xmI0bNwYAfPzxx5AkSfn6xo0bcHd3h6mpKWrVqoV3330Xhw8fVtk3JSUFffr0gaGhIWxsbPDDDz8UuQSakZGB4cOHo2HDhjAyMkL37t1x4cKFUse5efNmuLm5KV+3a9cO7du3R1hYmEo7IQQiIiLg6ekJHR0dAECrVq1gYWGBnTt3ltoHEZUvFmNEVC3o6OjAw8MDEREREEIo12/duhUFBQUYMGAAzp07h88//xxffPEFLl26hG+++QZff/11kQLuX3/88QeAZ2fWUlJSlK+zs7Ph6uqKI0eOIDY2Fh988AHc3Nxw69Yt5b4eHh5ITk7GsWPHsH37dnz33Xe4c+eOyvE/++wz3LlzB/v378e5c+fQvn179OjRo9QzV7/99hs6dOigss7b2xtbtmxBTk6Oct2xY8cQHx8PLy8vlbYdO3bEiRMnSnkniajcCSKiauLKlSsCgDh69Khy3XvvvScGDx4shBBi4MCBolevXir7+Pn5iZYtWypfW1tbi6VLlypfAxA7d+58Yd+tWrUSK1asUMnxxx9/KLdfu3ZNAFAe+8SJE8LIyEg8fvxY5ThNmzYVa9euLbaP9PR0AUAcP368yHoDAwMRHh6uXDdkyBDRpUuXIseYNGmS6Nq16wvHQ0Tlh2fGiKjaaN68ORwcHJSX7K5fv44TJ04oL1FeuXJFOdfqX46Ojrh27RoKCgrK3E92djamTp2KFi1aoE6dOqhVqxauXLmiPDN29epV6OjooH379sp9bG1tUbduXeXrCxcuIDs7G/Xr10etWrWUS3x8PG7cuFFsv48ePQIAGBgYqKyvU6cOPvnkE+W4s7KysH37duW4/8vQ0BC5ubllHisRvToduQMQEb1O3t7eGD9+PEJDQxEeHo6mTZvCycmpXPuYOnUqoqOjsWjRItja2sLQ0BCffvop8vPzy3yM7OxsmJub49ixY0W21alTp9h96tevD0mSkJ6eXmSbt7c3evTogevXr+Po0aPQ1tbGZ599VqTdgwcP0LBhwzLnJKJXxzNjRFStfP7559DS0sIPP/yAyMhIeHl5QZIkAECLFi1w8uRJlfYnT57EW2+9BW1t7WKPp6urW+Ss2cmTJzF06FB8/PHHaN26NczMzHDz5k3l9mbNmuHp06eIjY1Vrrt+/bpKEdW+fXukpqZCR0cHtra2KkuDBg2KzaKnp4eWLVvi8uXLRbZ169YNNjY2CA8PR3h4OL744gvUrFmzSLs///wTdnZ2xR6fiCoGizEiqlZq1aqF/v37IyAgACkpKRg6dKhy25QpU3DkyBF8++23+Pvvv7Fx40asXLkSU6dOLfF4jRs3xpEjR5Camqospt58803s2LEDCoUCFy5cwMCBA1FYWKjcp3nz5ujZsydGjBiBM2fOIDY2FiNGjIChoaGyMOzZsyfs7e3Rt29fHDp0CDdv3sSpU6cQGBiIs2fPlpjH2dkZv/32W5H1kiTBy8sLq1evxunTp4u9RJmbm4tz586pfcNYInpFck9aIyJ63U6dOiUACFdX1yLbtm3bJlq2bCl0dXWFlZWVCA4OVtn+/AT+PXv2CFtbW6GjoyOsra2FEELEx8eLbt26CUNDQ2FpaSlWrlwpnJycxMSJE5X7JScnCxcXF6Gvry+sra3FDz/8IExMTMSaNWuUbbKyssT48eOFhYWF0NXVFZaWlmLQoEHi1q1bJY4tLi5OGBoaioyMjCLbEhMThZaWlmjVqlWx+/7www+iWbNmJR6biCqGJMR/fuNNRESySEpKgqWlJQ4fPowePXq80rE+++wztG/fHgEBAWrt17lzZ0yYMAEDBw58pf6JSD28TElEJIOYmBjs2bMH8fHxOHXqFL744gs0btwY77///isfOzg4GLVq1VJrn3v37uGTTz7BgAEDXrl/IlIPz4wREcng4MGDmDJlCv755x/Url0bDg4OCAkJgbW1tdzRiOg1YzFGREREJCNepiQiIiKSEYsxIiIiIhmxGCMiIiKSEYsxIiIiIhmxGCMiIiKSEYsxIiIiIhmxGCMiIiKSEYsxIiIiIhn9P/yuXk2GZP8fAAAAAElFTkSuQmCC",
+      "text/plain": [
+       "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n", "\n", "_ = plt.plot(voltages, n_eff, \".-\")\n", - "_ plt.ticklabel_format(style='plain', useOffset=False)\n", + "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n", "\n", "plt.show()" @@ -701,10 +1564,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "id": "8093b264", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Vπ·L (single-drive) = 7.62 V·cm\n", + "Vπ·L (push-pull) = 3.81 V·cm\n" + ] + } + ], "source": [ "# The variation is quite linear, so we simply use the largest interval\n", "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", From c6b24acd7e12b88ca6ac57bf6ad9924a790ca925 Mon Sep 17 00:00:00 2001 From: "filipe@flexcompute.com" Date: Tue, 28 Oct 2025 16:50:58 -0300 Subject: [PATCH 4/6] comments --- TFLNTidy3d.ipynb | 865 ++++++++++++++++++++++++----------------------- 1 file changed, 441 insertions(+), 424 deletions(-) diff --git a/TFLNTidy3d.ipynb b/TFLNTidy3d.ipynb index 5e5a9bfb..f811766c 100644 --- a/TFLNTidy3d.ipynb +++ b/TFLNTidy3d.ipynb @@ -7,16 +7,15 @@ "source": [ "# Thin film Lithium Niobate Electro-Optic Modulator using Tidy3D\n", "\n", - "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", + "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on the Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", "\n", - "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", + "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/).\n", "\n", "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n", "\n", "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", "\n", - "\"Schematic\n", - "\n" + "\"Schematic" ] }, { @@ -26,11 +25,11 @@ "source": [ "### Workflow Overview\n", "\n", - "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", + "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", "\n", - "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode.\n", + "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode and its overlap with the optical waveguide.\n", "\n", - "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L.\n" + "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L." ] }, { @@ -60,7 +59,7 @@ "id": "49b37a57", "metadata": {}, "source": [ - "## Optical Waveguide Geometry" + "## Optical Waveguide Geometry " ] }, { @@ -70,12 +69,12 @@ "metadata": {}, "outputs": [], "source": [ + "# Simulation parameters\n", "eff_inf = 1e3 # Large extent to emulate semi-infinite regions\n", "\n", "opt_wavelength = 1.55\n", "freq_opt = td.C_0 / opt_wavelength\n", "\n", - "\n", "# Optical materials: SiO2 cladding and TFLN core\n", "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", @@ -89,7 +88,7 @@ "plane_limits = (-1.5, 1.9)\n", "plane_height = 3.4\n", "\n", - "\n", + "# Define waveguide structures\n", "ridge = td.Structure(\n", " name=\"ridge\",\n", " geometry=td.Box(\n", @@ -114,9 +113,10 @@ " medium=LiNbO3,\n", ")\n", "\n", - "\n", + "# Grid specification\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", "\n", + "# Create optical simulation\n", "sim_opt = td.Simulation(\n", " size=(10.0, plane_size, plane_height),\n", " run_time=1e-12,\n", @@ -131,7 +131,7 @@ "id": "e8801650", "metadata": {}, "source": [ - "### Creating the [ModSolver]() object and run mode simulation." + "### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation" ] }, { @@ -140,16 +140,6 @@ "id": "5edff819", "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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", @@ -164,14 +154,14 @@ "source": [ "## Creating the ModeSolver\n", "\n", - "mode_spec = td.ModeSpec(num_modes=5)\n", + "mode_spec = td.ModeSpec(num_modes=5, group_index_step=True)\n", "\n", "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", "\n", "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", "\n", - "mode_solver_opt.plot()" + "_ = mode_solver_opt.plot()" ] }, { @@ -183,14 +173,14 @@ { "data": { "text/html": [ - "
11:59:38 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
-       "             'mo-d7687704-b36c-40bc-9e28-ca4c65db8e72' and task_type            \n",
+       "
16:42:40 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
+       "             'mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c' and task_type            \n",
        "             'MODE_SOLVER'.                                                     \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m11:59:38 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", - "\u001b[2;36m \u001b[0m\u001b[32m'mo-d7687704-b36c-40bc-9e28-ca4c65db8e72'\u001b[0m and task_type \n", + "\u001b[2;36m16:42:40 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" ] }, @@ -201,14 +191,14 @@ "data": { "text/html": [ "
             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-\n",
-       "             40bc-9e28-ca4c65db8e72'.                                           \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-\n",
+       "             4254-8a40-93319e87b10c'.                                           \n",
        "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", - "\u001b[2;36m \u001b[0m\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=250938;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=605385;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m-d7687704-b36c-\u001b[0m\u001b]8;;\u001b\\\n", - "\u001b[2;36m \u001b[0m\u001b]8;id=734769;https://tidy3d.simulation.cloud/workbench?taskId=mo-d7687704-b36c-40bc-9e28-ca4c65db8e72\u001b\\\u001b[32m40bc-9e28-ca4c65db8e72'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m \u001b[0m\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=870978;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=973395;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m-2fd6ccf9-bf00-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m4254-8a40-93319e87b10c'\u001b[0m\u001b]8;;\u001b\\. \n" ] }, "metadata": {}, @@ -221,7 +211,7 @@ "
\n" ], "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=29615;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=600642;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n" ] }, "metadata": {}, @@ -230,7 +220,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "815af4a01228439590069595ca765740", + "model_id": "dc1bb3dadab44afe8f5f383d07b98a9a", "version_major": 2, "version_minor": 0 }, @@ -254,13 +244,13 @@ { "data": { "text/html": [ - "
11:59:42 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
+       "
16:42:44 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
        "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
        "             FlexCredit cost after a simulation run.                            \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m11:59:42 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.004\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m16:42:44 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.004\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" ] @@ -271,11 +261,30 @@ { "data": { "text/html": [ - "
11:59:43 -03 status = success                                                   \n",
+       "
16:42:46 -03 status = queued                                                    \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m11:59:43 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" + "\u001b[2;36m16:42:46 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             To cancel the simulation, use 'web.abort(task_id)' or              \n",
+       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
+       "             Terminating the Python script will not stop the job running on the \n",
+       "             cloud.                                                             \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", + "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", + "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", + "\u001b[2;36m \u001b[0mcloud. \n" ] }, "metadata": {}, @@ -284,7 +293,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "5fee7ed787b64750a5166f506963daec", + "model_id": "4edd22fa256c478ab65edc1f0de68881", "version_major": 2, "version_minor": 0 }, @@ -308,11 +317,101 @@ { "data": { "text/html": [ - "
11:59:54 -03 loading simulation from simulation_data.hdf5                       \n",
+       "
16:42:52 -03 starting up solver                                                 \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m16:42:52 -03\u001b[0m\u001b[2;36m \u001b[0mstarting up solver \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
             running solver                                                     \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mrunning solver \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
16:43:00 -03 status = success                                                   \n",
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+       "
             View simulation result at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-\n",
+       "             4254-8a40-93319e87b10c'.                                           \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView simulation result at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=249657;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=626342;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=249657;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=827206;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=249657;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34m-2fd6ccf9-bf00-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=249657;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[4;34m4254-8a40-93319e87b10c'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "bf44e05699d04af0b1b1e574c9467fb6", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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+      ],
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+     "data": {
+      "text/html": [
+       "
16:43:08 -03 loading simulation from simulation_data.hdf5                       \n",
+       "
\n" + ], + "text/plain": [ + "\u001b[2;36m16:43:08 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n" ] }, "metadata": {}, @@ -328,7 +427,7 @@ "id": "0058eb29", "metadata": {}, "source": [ - "We can now visualize and inspect the optical modes." + "We can now visualize and inspect the optical modes. We are interested in the TE-like fundamental mode (with *mode_index == 0*), which has an effective index of 1.85 and a group index of 2.20. This information is very important to ensure velocity matching between the optical and RF modes, and hence optimize the electro-optical effect." ] }, { @@ -366,6 +465,8 @@ " wg TE fraction\n", " wg TM fraction\n", " mode area\n", + " group index\n", + " dispersion (ps/(nm km))\n", " \n", " \n", " f\n", @@ -377,6 +478,8 @@ " \n", " \n", " \n", + " \n", + " \n", " \n", " \n", " \n", @@ -390,6 +493,8 @@ " 0.988385\n", " 0.869531\n", " 1.395676\n", + " 2.203290\n", + " -419.798243\n", " \n", " \n", " 1\n", @@ -400,6 +505,8 @@ " 0.955486\n", " 0.874227\n", " 1.537450\n", + " 2.235663\n", + " -341.654372\n", " \n", " \n", " 2\n", @@ -410,6 +517,8 @@ " 0.775261\n", " 0.987734\n", " 2.170106\n", + " 2.316117\n", + " -1372.697792\n", " \n", " \n", " 3\n", @@ -420,6 +529,8 @@ " 0.909164\n", " 0.881780\n", " 1.840836\n", + " 2.276735\n", + " -435.043857\n", " \n", " \n", " 4\n", @@ -430,6 +541,8 @@ " 0.785301\n", " 0.951572\n", " 2.260011\n", + " 2.346229\n", + " -1383.333042\n", " \n", " \n", "\n", @@ -444,13 +557,21 @@ " 3 1.55 1.753301 0.0 0.978658 \n", " 4 1.55 1.722364 0.0 0.030296 \n", "\n", - " wg TE fraction wg TM fraction mode area \n", - "f mode_index \n", - "1.934145e+14 0 0.988385 0.869531 1.395676 \n", - " 1 0.955486 0.874227 1.537450 \n", - " 2 0.775261 0.987734 2.170106 \n", - " 3 0.909164 0.881780 1.840836 \n", - " 4 0.785301 0.951572 2.260011 " + " wg TE fraction wg TM fraction mode area \\\n", + "f mode_index \n", + "1.934145e+14 0 0.988385 0.869531 1.395676 \n", + " 1 0.955486 0.874227 1.537450 \n", + " 2 0.775261 0.987734 2.170106 \n", + " 3 0.909164 0.881780 1.840836 \n", + " 4 0.785301 0.951572 2.260011 \n", + "\n", + " group index dispersion (ps/(nm km)) \n", + "f mode_index \n", + "1.934145e+14 0 2.203290 -419.798243 \n", + " 1 2.235663 -341.654372 \n", + " 2 2.316117 -1372.697792 \n", + " 3 2.276735 -435.043857 \n", + " 4 2.346229 -1383.333042 " ] }, "execution_count": 5, @@ -478,9 +599,11 @@ "id": "821fae2b", "metadata": {}, "source": [ - "## RF CPW Transmission Line\n", + "## RF CPW Transmission Line \n", + "\n", + "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode.\n", "\n", - "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode." + "For more information on CPW mode calculation, one can refer to [this](https://www.flexcompute.com/tidy3d/examples/notebooks/CPWRFPhotonics1/) example." ] }, { @@ -490,10 +613,10 @@ "metadata": {}, "outputs": [], "source": [ + "# RF frequency range\n", "rf_freqs = np.linspace(1e9, 65e9, 20)\n", "\n", - "# RF mediums\n", - "\n", + "# RF materials\n", "si_rf = td.Medium(permittivity=11.7)\n", "sio2_rf = td.Medium(permittivity=3.9)\n", "air_rf = td.Medium()\n", @@ -508,6 +631,7 @@ " ),\n", ")\n", "\n", + "# Layer thickness and positioning parameters\n", "tfln_thickness = 0.2\n", "sio2_thickness = 7\n", "metal_thickness = 0.9\n", @@ -515,11 +639,13 @@ " 4.7 + tfln_thickness / 2\n", ") # Distance between the center of the TFLN from the Si substrate\n", "\n", + "# CPW geometry parameters\n", "cpw_thickness = 0.9\n", "cpw_center = sio2_thickness / 2 - cpw_thickness / 2\n", "cpw_width = 10\n", "cpw_gap = 4\n", "\n", + "# Define CPW transmission line structures\n", "cpw_left = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, cpw_center - cpw_thickness / 2),\n", @@ -544,7 +670,7 @@ " medium=metal,\n", ")\n", "\n", - "\n", + "# Define substrate and layer structures\n", "sio2_slab = td.Structure(\n", " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", ")\n", @@ -568,98 +694,130 @@ }, { "cell_type": "markdown", - "id": "e9ed9e15", + "id": "caea1e80", "metadata": {}, "source": [ - "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners." + "Now we define the optical waveguide." ] }, { "cell_type": "code", "execution_count": 7, - "id": "101d737f", + "id": "0b823b69", "metadata": {}, "outputs": [], "source": [ - "# Define RF frequency range from 1 GHz to 65 GHz\n", - "rf_freqs = np.linspace(1e9, 65e9, 20)\n", - "\n", - "\n", - "# Define Layer refinement spec\n", - "lr_spec = td.LayerRefinementSpec.from_structures(\n", - " structures=[cpw_center, cpw_left, cpw_right],\n", - " min_steps_along_axis=5,\n", - " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", - " refinement_inside_sim_only=False,\n", - ")\n", - "\n", - "# Overall grid specification\n", - "grid_spec = td.GridSpec.auto(\n", - " min_steps_per_wvl=100,\n", - " wavelength=td.C_0 / max(rf_freqs),\n", - " layer_refinement_specs=[lr_spec],\n", - ")\n", + "# Calculate vertical offset to position waveguides at TFLN slab level\n", + "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", "\n", - "sim_rf_size = (25, 138, 150)\n", + "# Define right waveguide positioned under CPW gap\n", + "waveguide_r = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"core_r\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]\n", "\n", - "sim_rf = td.Simulation(\n", - " size=sim_rf_size,\n", - " structures=[sio2_slab, tfln_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center],\n", - " grid_spec=grid_spec,\n", - " run_time=1e-12,\n", - ")" + "# Define left waveguide positioned under CPW gap\n", + "waveguide_l = [\n", + " ridge.updated_copy(\n", + " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", + " name=\"ridge_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + " core.updated_copy(\n", + " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", + " name=\"core_l\",\n", + " medium=tfln_rf,\n", + " ),\n", + "]" ] }, { "cell_type": "markdown", - "id": "3e8dcb6b", + "id": "2171248e", "metadata": {}, "source": [ - "Now, we can inspect the grid." + "### Grid Definition\n", + "\n", + "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners.\n", + "\n", + "For the rest of the simulation, we use the automatic grid with `min_steps_per_sim_size = 100`, which ensures at least 100 grid cells along the longest dimension of the simulation domain.\n", + "\n", + "We will also add mesh override regions to properly resolve the thickness of the optical waveguide, as well as the gaps, to ensure accurate results." ] }, { "cell_type": "code", "execution_count": 8, - "id": "17b2eab6", + "id": "1610730f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "ax = sim_rf.plot(x=0)\n", - "sim_rf.plot_grid(x=0, ax=ax)\n", - "ax.set_xlim(-10, 10)\n", - "ax.set_ylim(-10, 10)\n", + "# Define layer refinement specification for enhanced mesh at CPW corners\n", + "lr_spec = td.LayerRefinementSpec.from_structures(\n", + " structures=[cpw_center, cpw_left, cpw_right],\n", + " min_steps_along_axis=5,\n", + " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", + " refinement_inside_sim_only=False,\n", + ")\n", "\n", - "plt.show()" + "\n", + "# Mesh override for waveguide region (fine mesh in z-direction)\n", + "override_region = td.MeshOverrideStructure(\n", + " geometry=td.Box(\n", + " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", + " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", + " ),\n", + " dl=(None, None, 0.01),\n", + ")\n", + "\n", + "# Calculate gap center position\n", + "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", + "\n", + "# Mesh override for left CPW gap (fine mesh in y-direction)\n", + "override_region_gap_l = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "# Mesh override for right CPW gap (fine mesh in y-direction)\n", + "override_region_gap_r = td.MeshOverrideStructure(\n", + " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", + " dl=(None, 0.01, None),\n", + ")\n", + "\n", + "# Overall grid specification\n", + "grid_spec = td.GridSpec.auto(\n", + " min_steps_per_sim_size=30,\n", + " wavelength=td.C_0 / max(rf_freqs),\n", + " layer_refinement_specs=[lr_spec],\n", + " override_structures=[override_region, override_region_gap_l, override_region_gap_r],\n", + ")" ] }, { "cell_type": "markdown", - "id": "b03b10c2", + "id": "afda2110", "metadata": {}, "source": [ - "Now, we define a [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object containing a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path defined around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground to calculate impedance.\n" + "For impedance calculation, we define a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground." ] }, { "cell_type": "code", "execution_count": 9, - "id": "1318f55c", + "id": "57007847", "metadata": {}, "outputs": [], "source": [ - "# Define current integration path (loop)\n", + "# Define current integration path (loop around CPW signal)\n", "I_int = mw.CurrentIntegralAxisAligned(\n", " center=cpw_center.geometry.center,\n", " size=(\n", @@ -669,53 +827,94 @@ " ),\n", " sign=\"+\",\n", ")\n", - "# Define voltage integration path (line)\n", + "\n", + "# Define voltage integration path (line from signal to ground)\n", "V_int = mw.VoltageIntegralAxisAligned(\n", " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", " size=(0, cpw_gap, 0),\n", " sign=\"-\",\n", - ")\n", - "\n", - "# Define wave ports\n", - "WP1 = sm.WavePort(\n", - " center=cpw_center.geometry.center,\n", - " size=(0, sim_rf.size[1], sim_rf.size[2]),\n", - " mode_spec=td.ModeSpec(target_neff=2.2),\n", - " direction=\"+\",\n", - " name=\"WP1\",\n", - " current_integral=I_int,\n", - " voltage_integral=V_int,\n", ")" ] }, { "cell_type": "markdown", - "id": "04dad6c3", + "id": "3b4ffda0", "metadata": {}, "source": [ - "Finally, we can use our [WavePort](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.smatrix.WavePort.html) object to automatically configure the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) based on the RF simulation model.\n" + "Finally, we can create the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) objects." ] }, { "cell_type": "code", "execution_count": 10, - "id": "4d8cf718", + "id": "b96fcbc7", "metadata": {}, "outputs": [], "source": [ - "# Obtain mode solver from wave port\n", - "mode_solver_rf = WP1.to_mode_solver(simulation=sim_rf, freqs=rf_freqs)" + "# Simulation domain size\n", + "sim_rf_size = (25, 138, 150)\n", + "\n", + "# Create RF simulation\n", + "sim_vpi = td.Simulation(\n", + " size=sim_rf_size,\n", + " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", + " + waveguide_r\n", + " + waveguide_l,\n", + " grid_spec=grid_spec,\n", + " run_time=1e-12,\n", + ")" ] }, { "cell_type": "code", "execution_count": 11, - "id": "d0011c9e", + "id": "de0b6b55", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create and visualize the mode solver\n", + "\n", + "plane = td.Box(\n", + " center=cpw_center.geometry.center,\n", + " size=(0, sim_vpi.size[1], sim_vpi.size[2]),\n", + ")\n", + "\n", + "mzm_solver = ModeSolver(\n", + " simulation=sim_vpi,\n", + " plane=plane,\n", + " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", + " freqs=rf_freqs,\n", + ")\n", + "\n", + "# Visualize the mesh\n", + "\n", + "ax = mzm_solver.plot()\n", + "mzm_solver.plot_grid(ax=ax)\n", + "ax.set_ylim(1, 5)\n", + "ax.set_xlim(4, 10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "ddd67053", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -727,7 +926,7 @@ "source": [ "# Plot V and I integration paths\n", "fig, ax = plt.subplots(figsize=(10, 3))\n", - "mode_solver_rf.plot(ax=ax)\n", + "mzm_solver.plot(ax=ax)\n", "I_int.plot(x=0, ax=ax)\n", "V_int.plot(x=0, ax=ax)\n", "ax.set_xlim(-20, 20)\n", @@ -737,21 +936,21 @@ }, { "cell_type": "code", - "execution_count": 12, - "id": "7fb8daeb", + "execution_count": 13, + "id": "38935f5b", "metadata": {}, "outputs": [ { "data": { "text/html": [ - "
11:59:56 -03 Created task 'CPW mode solver' with resource_id                    \n",
-       "             'mo-2291d686-25b0-4507-bbf9-ee62b720fbba' and task_type            \n",
+       "
16:43:10 -03 Created task 'MZM mode solver' with resource_id                    \n",
+       "             'mo-083aec84-4655-4b4c-831a-b60d07f90466' and task_type            \n",
        "             'MODE_SOLVER'.                                                     \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m11:59:56 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'CPW mode solver'\u001b[0m with resource_id \n", - "\u001b[2;36m \u001b[0m\u001b[32m'mo-2291d686-25b0-4507-bbf9-ee62b720fbba'\u001b[0m and task_type \n", + "\u001b[2;36m16:43:10 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", + "\u001b[2;36m \u001b[0m\u001b[32m'mo-083aec84-4655-4b4c-831a-b60d07f90466'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n" ] }, @@ -762,14 +961,14 @@ "data": { "text/html": [ "
             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-\n",
-       "             4507-bbf9-ee62b720fbba'.                                           \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-\n",
+       "             4b4c-831a-b60d07f90466'.                                           \n",
        "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", - "\u001b[2;36m \u001b[0m\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=544536;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=952698;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m-2291d686-25b0-\u001b[0m\u001b]8;;\u001b\\\n", - "\u001b[2;36m \u001b[0m\u001b]8;id=108546;https://tidy3d.simulation.cloud/workbench?taskId=mo-2291d686-25b0-4507-bbf9-ee62b720fbba\u001b\\\u001b[32m4507-bbf9-ee62b720fbba'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m \u001b[0m\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=975803;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=877767;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m-083aec84-4655-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m4b4c-831a-b60d07f90466'\u001b[0m\u001b]8;;\u001b\\. \n" ] }, "metadata": {}, @@ -782,7 +981,7 @@ "
\n" ], "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=893179;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=504119;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" ] }, "metadata": {}, @@ -791,7 +990,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9923e0298dd3408488c7f99d2f39cb32", + "model_id": "2e285455cab64ccd8489489122d79f36", "version_major": 2, "version_minor": 0 }, @@ -815,13 +1014,13 @@ { "data": { "text/html": [ - "
11:59:58 -03 Estimated FlexCredit cost: 0.006. Minimum cost depends on task     \n",
+       "
16:43:12 -03 Estimated FlexCredit cost: 0.016. Minimum cost depends on task     \n",
        "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
        "             FlexCredit cost after a simulation run.                            \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m11:59:58 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.006\u001b[0m. Minimum cost depends on task \n", + "\u001b[2;36m16:43:12 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.016\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" ] @@ -832,25 +1031,11 @@ { "data": { "text/html": [ - "
12:00:00 -03 status = success                                                   \n",
+       "
16:43:14 -03 status = queued                                                    \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:00:00 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "080e5da181ab4808ac66490ee4d5c797", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" + "\u001b[2;36m16:43:14 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued \n" ] }, "metadata": {}, @@ -859,213 +1044,42 @@ { "data": { "text/html": [ - "
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-     "metadata": {},
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-    {
-     "data": {
-      "text/html": [
-       "
12:00:13 -03 loading simulation from data/WP1_mode_data.hdf5                    \n",
+       "
             To cancel the simulation, use 'web.abort(task_id)' or              \n",
+       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
+       "             Terminating the Python script will not stop the job running on the \n",
+       "             cloud.                                                             \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:00:13 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/WP1_mode_data.hdf5 \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mode_data_rf = web.run(mode_solver_rf, task_name=\"CPW mode solver\", path=\"data/WP1_mode_data.hdf5\")" - ] - }, - { - "cell_type": "markdown", - "id": "5a07d673", - "metadata": {}, - "source": [ - "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "299e42fb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", + "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", + "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", + "\u001b[2;36m \u001b[0mcloud. \n" ] }, "metadata": {}, "output_type": "display_data" - } - ], - "source": [ - "# Calculate Z0\n", - "Z0_mode = np.conjugate(\n", - " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", - " mode_data_rf\n", - " )\n", - ").squeeze()\n", - "\n", - "\n", - "fig, ax = plt.subplots(1, 2, figsize=(9, 3), tight_layout=True)\n", - "\n", - "mode_solver_rf.plot_field(\"Ey\", \"real\", f=rf_freqs[0].item(), robust=False, ax=ax[0])\n", - "ax[0].set_xlim(-20, 20)\n", - "ax[0].set_ylim(-20, 20)\n", - "\n", - "ax[1].plot(Z0_mode.f * 1e-9, Z0_mode.real)\n", - "_ = ax[1].set(xlabel=\"Frequencies (GHz)\", ylabel=\"Re{Z₀} (Ω)\")" - ] - }, - { - "cell_type": "markdown", - "id": "52e82ec2", - "metadata": {}, - "source": [ - "## Computation of Vπ·L\n", - "\n", - "Next, we run a similar mode simulation, this time adding the TFLN waveguides beneath the CPW gaps. We then monitor the RF fields at the waveguides and calculate the index change due to the Pockels effect." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "0b823b69", - "metadata": {}, - "outputs": [], - "source": [ - "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", - "\n", - "waveguide_r = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"core_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]\n", - "\n", - "waveguide_l = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"core_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]\n", - "\n", - "override_region = td.MeshOverrideStructure(\n", - " geometry=td.Box(\n", - " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", - " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", - " ),\n", - " dl=(None, None, 0.01),\n", - ")\n", - "\n", - "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", - "\n", - "override_region_gap_l = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", - "\n", - "override_region_gap_r = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", - "\n", - "\n", - "grid_spec_vpi = grid_spec.updated_copy(\n", - " override_structures=[override_region, override_region_gap_l, override_region_gap_r]\n", - ")\n", - "sim_vpi = sim_rf.updated_copy(\n", - " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", - " + waveguide_r\n", - " + waveguide_l,\n", - " grid_spec=grid_spec_vpi,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "de0b6b55", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(4.0, 10.0)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" }, { "data": { - "image/png": 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", + "application/vnd.jupyter.widget-view+json": { + "model_id": "d270a5e5b5334124a8bae6b180dcdee4", + "version_major": 2, + "version_minor": 0 + }, "text/plain": [ - "
" + "Output()" ] }, "metadata": {}, "output_type": "display_data" - } - ], - "source": [ - "mzm_solver = ModeSolver(\n", - " simulation=sim_vpi,\n", - " plane=mode_solver_rf.plane,\n", - " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", - " freqs=rf_freqs,\n", - ")\n", - "\n", - "\n", - "ax = mzm_solver.plot()\n", - "mzm_solver.plot_grid(ax=ax)\n", - "ax.set_ylim(1, 5)\n", - "ax.set_xlim(4, 10)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "38935f5b", - "metadata": {}, - "outputs": [ + }, { "data": { "text/html": [ - "
12:00:15 -03 Created task 'MZM mode solver' with resource_id                    \n",
-       "             'mo-2cc0f904-09e7-4efd-a998-13eaae14f231' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
-       "
\n" + "
\n"
       ],
-      "text/plain": [
-       "\u001b[2;36m12:00:15 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id                    \n",
-       "\u001b[2;36m             \u001b[0m\u001b[32m'mo-2cc0f904-09e7-4efd-a998-13eaae14f231'\u001b[0m and task_type            \n",
-       "\u001b[2;36m             \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m.                                                     \n"
-      ]
+      "text/plain": []
      },
      "metadata": {},
      "output_type": "display_data"
@@ -1073,15 +1087,11 @@
     {
      "data": {
       "text/html": [
-       "
             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-\n",
-       "             4efd-a998-13eaae14f231'.                                           \n",
+       "
16:43:21 -03 starting up solver                                                 \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", - "\u001b[2;36m \u001b[0m\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=918486;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=657276;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m-2cc0f904-09e7-\u001b[0m\u001b]8;;\u001b\\\n", - "\u001b[2;36m \u001b[0m\u001b]8;id=776406;https://tidy3d.simulation.cloud/workbench?taskId=mo-2cc0f904-09e7-4efd-a998-13eaae14f231\u001b\\\u001b[32m4efd-a998-13eaae14f231'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m16:43:21 -03\u001b[0m\u001b[2;36m \u001b[0mstarting up solver \n" ] }, "metadata": {}, @@ -1090,11 +1100,11 @@ { "data": { "text/html": [ - "
             Task folder: 'default'.                                            \n",
+       "
16:43:22 -03 running solver                                                     \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=753555;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n" + "\u001b[2;36m16:43:22 -03\u001b[0m\u001b[2;36m \u001b[0mrunning solver \n" ] }, "metadata": {}, @@ -1102,13 +1112,12 @@ }, { "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "fc8a0663330b4348ac0312af96da45ea", - "version_major": 2, - "version_minor": 0 - }, + "text/html": [ + "
16:43:47 -03 status = success                                                   \n",
+       "
\n" + ], "text/plain": [ - "Output()" + "\u001b[2;36m16:43:47 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" ] }, "metadata": {}, @@ -1127,28 +1136,15 @@ { "data": { "text/html": [ - "
12:00:18 -03 Estimated FlexCredit cost: 0.015. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
+       "
             View simulation result at                                          \n",
+       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-\n",
+       "             4b4c-831a-b60d07f90466'.                                           \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:00:18 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.015\u001b[0m. Minimum cost depends on task \n", - "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", - "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
12:00:20 -03 status = success                                                   \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m12:00:20 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n" + "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView simulation result at \n", + "\u001b[2;36m \u001b[0m\u001b]8;id=549881;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=96522;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549881;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=4286;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549881;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34m-083aec84-4655-\u001b[0m\u001b]8;;\u001b\\\n", + "\u001b[2;36m \u001b[0m\u001b]8;id=549881;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[4;34m4b4c-831a-b60d07f90466'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m \n" ] }, "metadata": {}, @@ -1157,7 +1153,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "952482b8281845c195c6962c074d5aa1", + "model_id": "51eef9719c13454d88894739512aa753", "version_major": 2, "version_minor": 0 }, @@ -1181,11 +1177,11 @@ { "data": { "text/html": [ - "
12:00:39 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
+       "
16:44:13 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:00:39 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" + "\u001b[2;36m16:44:13 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" ] }, "metadata": {}, @@ -1196,15 +1192,23 @@ "mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")" ] }, + { + "cell_type": "markdown", + "id": "981f469e", + "metadata": {}, + "source": [ + "Visualizing the results:" + ] + }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 14, "id": "7d132394", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1214,7 +1218,12 @@ } ], "source": [ - "_ = mzm_solver.plot_field(\"Ey\", \"real\", f=rf_freqs[0], mode_index=0, robust=True)" + "# Visualize the RF mode\n", + "ax = mzm_solver.plot_field(\"E\", \"abs\", f=rf_freqs[0], mode_index=0, robust=True, shading=\"gouraud\")\n", + "ax.set_xlim(0, 15)\n", + "ax.set_ylim(-5, 10)\n", + "\n", + "plt.show()" ] }, { @@ -1222,18 +1231,18 @@ "id": "9bd87dcc", "metadata": {}, "source": [ - "Visualizing the results." + "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results." ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "id": "a7147eea", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -1263,31 +1272,23 @@ }, { "cell_type": "markdown", - "id": "f56ba019", + "id": "9381c163", "metadata": {}, "source": [ + "## Computation of Vπ·L \n", + "\n", "To calculate the Pockels effect, we apply an electric field along the LiNbO₃ cut direction to perturb the optical medium. First, we normalize the field by the applied voltage and shift its coordinates so they align with the optical simulation, where the dielectric waveguide is centered at y = 0." ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "id": "82671b9d", "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -1297,14 +1298,16 @@ } ], "source": [ - "v0 = WP1.voltage_integral.compute_voltage(mzm_solver.data)\n", + "# Compute voltage across the gap and normalize electric field\n", + "v0 = V_int.compute_voltage(mzm_solver.data)\n", "ey_norm = (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", "\n", + "# Shift coordinates to align with optical simulation (waveguide centered at y = 0)\n", "offset = cpw_width / 2 + cpw_gap / 2\n", "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset)\n", "\n", - "ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True)\n", - "# _ = plt.gca().set(xlim=(-gap, gap), ylim=(-1, 4))" + "# Plot normalized electric field\n", + "_ = ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True)" ] }, { @@ -1312,18 +1315,28 @@ "id": "eb1d41fe", "metadata": {}, "source": [ - "The normalized electric field is applied to the LiNbO₃ crystal along its z-axis, following the Pockels effect model:" + "The normalized electric field is applied to the LiNbO₃ crystal along its z-axis, following the Pockels effect model:\n", + "\n", + "\n", + "$$ \\Delta_n = -0.5 n_e^3 r_{33} E $$\n", + "\n", + "\n", + "Where:\n", + "- $\\Delta_n$: Index variation\n", + "- $n_e$: Extraordinary refractive index\n", + "- $r_{33}$: Pockels coefficient (30.9 pm/V) \n", + "- $E$: Normalized electric field from CPW (1V across gap)" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 17, "id": "c2e97084", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -1333,14 +1346,15 @@ } ], "source": [ + "# Extract LiNbO3 material properties at optical wavelength\n", "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", "n_e = eps_e**0.5\n", - "r33 = 30.9e-6 # μm/V\n", + "r33 = 30.9e-6 # Pockels coefficient in μm/V\n", "\n", - "# Index variation derived from the RF field\n", + "# Calculate refractive index variation from Pockels effect\n", "Δn = -0.5 * n_e**3 * r33 * ey_norm\n", "\n", - "# We plot the whole domain, but the perturbation will only take effect over the LiNbO₃, not everywhere\n", + "# Plot index variation (perturbation will only take effect over the LiNbO₃ regions)\n", "_ = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False)" ] }, @@ -1349,12 +1363,14 @@ "id": "ff40809b", "metadata": {}, "source": [ - "We can now define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage, and return a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object.\n" + "Now, assuming that the field scales with the applied voltage, we can define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage. \n", + "\n", + "This incorporates the index change due to the RF fields and returns a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object." ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 18, "id": "6a02f7c3", "metadata": {}, "outputs": [], @@ -1386,14 +1402,14 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 19, "id": "29e27d6c", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "4a8a2d64c2da4fa899e13655803855e6", + "model_id": "8251b56375ae464eb57584d5addf0f5c", "version_major": 2, "version_minor": 0 }, @@ -1417,11 +1433,11 @@ { "data": { "text/html": [ - "
12:00:49 -03 Started working on Batch containing 5 tasks.                       \n",
+       "
16:44:22 -03 Started working on Batch containing 5 tasks.                       \n",
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\n" ], "text/plain": [ - "\u001b[2;36m12:00:49 -03\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m5\u001b[0m tasks. \n" + "\u001b[2;36m16:44:22 -03\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m5\u001b[0m tasks. \n" ] }, "metadata": {}, @@ -1430,11 +1446,11 @@ { "data": { "text/html": [ - "
12:00:56 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n",
+       "
16:44:29 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:00:56 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.020\u001b[0m for the whole batch. \n" + "\u001b[2;36m16:44:29 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.020\u001b[0m for the whole batch. \n" ] }, "metadata": {}, @@ -1458,7 +1474,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "684fa8490c094907a5d4e795baf0d256", + "model_id": "8b93a4772d5644adba18ba640c0e0c55", "version_major": 2, "version_minor": 0 }, @@ -1472,11 +1488,11 @@ { "data": { "text/html": [ - "
12:01:00 -03 Batch complete.                                                    \n",
+       "
16:44:44 -03 Batch complete.                                                    \n",
        "
\n" ], "text/plain": [ - "\u001b[2;36m12:01:00 -03\u001b[0m\u001b[2;36m \u001b[0mBatch complete. \n" + "\u001b[2;36m16:44:44 -03\u001b[0m\u001b[2;36m \u001b[0mBatch complete. \n" ] }, "metadata": {}, @@ -1495,7 +1511,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "7ab4b49506d44bba8a78a0d9d3673a2e", + "model_id": "632aa8e6f6f94d1c8b0b518122bc2bf4", "version_major": 2, "version_minor": 0 }, @@ -1518,12 +1534,13 @@ } ], "source": [ + "# Define voltages to apply and create a Batch of simulations\n", "voltages = np.arange(5)\n", - "\n", "sims = {str(v): perturbed_solver(v) for v in voltages}\n", "\n", "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")\n", "\n", + "# Run all simulations in parallel\n", "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")" ] }, @@ -1537,13 +1554,13 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 20, "id": "7b8459f0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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zU)S_FCfsTkTED@p8~)EO{iNMORlI!XCNl%5p|OCGtM=K6__J8(+V}ZIzD`ZAI;Tiw ztL1bROy>+)xREYILz@zAF%bbzQkroSLP-0=qoT`$7_-Key7uDa&lu9#DLBq}V~VV+ zH@rV7x9-byV-<|wc*&{Yn}=El_ZpVsmKOh!^&Vj9$5!E$Pti!X?933%pk%g=Q;|h_ z7L+^I0}WFAv~xnY|M_74!InYW(N(*}X3W>`)<$XQI~vBNIxWB|v6@Q1z`jrffCY|h)${y|;{T2f2^9|~(v^C(+A>Tyjy4%xEGWi@ z8b-yHRW_^)*fD%lS-`cGlyv>v=~-G)y=wQL42sUb8FTW+qa^SLzK?5e$*XYaUsT%y zrlS2F(MRrPKmHv3$QdI>4J`z~=%g8wk=Bx_%FOEG&7t^&f z@@fAPlf7R4*<@Yjf83Ba+1~rt%5=s4Uk)*3oiZ)s>t&TzfWOk$Hqom8Td)5gDMXhV From cd341deb2ae8c96a2181b3b3142acd89c98c5620 Mon Sep 17 00:00:00 2001 From: "filipe@flexcompute.com" Date: Wed, 26 Nov 2025 16:57:32 -0300 Subject: [PATCH 6/6] adding paper results --- TFLNTidy3d.ipynb | 1630 +--------------------------------------------- 1 file changed, 1 insertion(+), 1629 deletions(-) diff --git a/TFLNTidy3d.ipynb b/TFLNTidy3d.ipynb index f811766c..527452c2 100644 --- a/TFLNTidy3d.ipynb +++ b/TFLNTidy3d.ipynb @@ -1,1629 +1 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "986c97ec", - "metadata": {}, - "source": [ - "# Thin film Lithium Niobate Electro-Optic Modulator using Tidy3D\n", - "\n", - "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on the Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", - "\n", - "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/).\n", - "\n", - "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n", - "\n", - "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", - "\n", - "\"Schematic" - ] - }, - { - "cell_type": "markdown", - "id": "6fbeeff2", - "metadata": {}, - "source": [ - "### Workflow Overview\n", - "\n", - "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", - "\n", - "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode and its overlap with the optical waveguide.\n", - "\n", - "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "7cc91408", - "metadata": {}, - "outputs": [], - "source": [ - "# Core simulation and plotting libraries\n", - "import numpy as np\n", - "import tidy3d as td\n", - "\n", - "# RF utilities for impedance and port definitions\n", - "import tidy3d.plugins.microwave as mw\n", - "import tidy3d.plugins.smatrix as sm\n", - "from matplotlib import pyplot as plt\n", - "from tidy3d import web\n", - "from tidy3d.plugins.mode import ModeSolver\n", - "\n", - "# Suppress verbose logs to keep the notebook output clear\n", - "td.config.logging_level = \"ERROR\"" - ] - }, - { - "cell_type": "markdown", - "id": "49b37a57", - "metadata": {}, - "source": [ - "## Optical Waveguide Geometry " - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a43b5172", - "metadata": {}, - "outputs": [], - "source": [ - "# Simulation parameters\n", - "eff_inf = 1e3 # Large extent to emulate semi-infinite regions\n", - "\n", - "opt_wavelength = 1.55\n", - "freq_opt = td.C_0 / opt_wavelength\n", - "\n", - "# Optical materials: SiO2 cladding and TFLN core\n", - "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", - "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", - "\n", - "# Ridge geometry parameters from the reference design\n", - "sidewall_angle = 15\n", - "core_thickness = 0.2\n", - "core_width = 3.0\n", - "slab_thickness = 0.2\n", - "plane_size = 8\n", - "plane_limits = (-1.5, 1.9)\n", - "plane_height = 3.4\n", - "\n", - "# Define waveguide structures\n", - "ridge = td.Structure(\n", - " name=\"ridge\",\n", - " geometry=td.Box(\n", - " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", - " ),\n", - " medium=LiNbO3,\n", - ")\n", - "\n", - "core = td.Structure(\n", - " geometry=td.PolySlab(\n", - " sidewall_angle=sidewall_angle * np.pi / 180,\n", - " reference_plane=\"top\",\n", - " slab_bounds=[0, core_thickness],\n", - " vertices=[\n", - " [-eff_inf, -core_width / 2],\n", - " [eff_inf, -core_width / 2],\n", - " [eff_inf, core_width / 2],\n", - " [-eff_inf, core_width / 2],\n", - " ],\n", - " ),\n", - " name=\"core\",\n", - " medium=LiNbO3,\n", - ")\n", - "\n", - "# Grid specification\n", - "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", - "\n", - "# Create optical simulation\n", - "sim_opt = td.Simulation(\n", - " size=(10.0, plane_size, plane_height),\n", - " run_time=1e-12,\n", - " medium=SiO2,\n", - " structures=[ridge, core],\n", - " grid_spec=grid_spec,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "e8801650", - "metadata": {}, - "source": [ - "### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "5edff819", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "## Creating the ModeSolver\n", - "\n", - "mode_spec = td.ModeSpec(num_modes=5, group_index_step=True)\n", - "\n", - "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", - "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", - "\n", - "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", - "\n", - "_ = mode_solver_opt.plot()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "a454c0e0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
16:42:40 -03 Created task 'TFLN-opt_mode' with resource_id                      \n",
-       "             'mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
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             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-\n",
-       "             4254-8a40-93319e87b10c'.                                           \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", - "\u001b[2;36m \u001b[0m\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=870978;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=973395;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m-2fd6ccf9-bf00-\u001b[0m\u001b]8;;\u001b\\\n", - "\u001b[2;36m \u001b[0m\u001b]8;id=94428;https://tidy3d.simulation.cloud/workbench?taskId=mo-2fd6ccf9-bf00-4254-8a40-93319e87b10c\u001b\\\u001b[32m4254-8a40-93319e87b10c'\u001b[0m\u001b]8;;\u001b\\. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
             Task folder: 'TFLN-VPI'.                                           \n",
-       "
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16:42:44 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
-       "
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16:42:46 -03 status = queued                                                    \n",
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             To cancel the simulation, use 'web.abort(task_id)' or              \n",
-       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
-       "             Terminating the Python script will not stop the job running on the \n",
-       "             cloud.                                                             \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", - "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", - "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", - "\u001b[2;36m \u001b[0mcloud. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "4edd22fa256c478ab65edc1f0de68881", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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16:42:52 -03 starting up solver                                                 \n",
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             running solver                                                     \n",
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16:43:00 -03 status = success                                                   \n",
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             View simulation result at                                          \n",
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-       "             4254-8a40-93319e87b10c'.                                           \n",
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16:43:08 -03 loading simulation from simulation_data.hdf5                       \n",
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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode areagroup indexdispersion (ps/(nm km))
fmode_index
1.934145e+1401.551.8514490.00.9997110.9883850.8695311.3956762.203290-419.798243
11.551.8137470.00.9979920.9554860.8742271.5374502.235663-341.654372
21.551.7628510.00.0048450.7752610.9877342.1701062.316117-1372.697792
31.551.7533010.00.9786580.9091640.8817801.8408362.276735-435.043857
41.551.7223640.00.0302960.7853010.9515722.2600112.346229-1383.333042
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" - ], - "text/plain": [ - " wavelength n eff k eff TE (Ey) fraction \\\n", - "f mode_index \n", - "1.934145e+14 0 1.55 1.851449 0.0 0.999711 \n", - " 1 1.55 1.813747 0.0 0.997992 \n", - " 2 1.55 1.762851 0.0 0.004845 \n", - " 3 1.55 1.753301 0.0 0.978658 \n", - " 4 1.55 1.722364 0.0 0.030296 \n", - "\n", - " wg TE fraction wg TM fraction mode area \\\n", - "f mode_index \n", - "1.934145e+14 0 0.988385 0.869531 1.395676 \n", - " 1 0.955486 0.874227 1.537450 \n", - " 2 0.775261 0.987734 2.170106 \n", - " 3 0.909164 0.881780 1.840836 \n", - " 4 0.785301 0.951572 2.260011 \n", - "\n", - " group index dispersion (ps/(nm km)) \n", - "f mode_index \n", - "1.934145e+14 0 2.203290 -419.798243 \n", - " 1 2.235663 -341.654372 \n", - " 2 2.316117 -1372.697792 \n", - " 3 2.276735 -435.043857 \n", - " 4 2.346229 -1383.333042 " - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n", - "mode_data_opt.to_dataframe()" - ] - }, - { - "cell_type": "markdown", - "id": "821fae2b", - "metadata": {}, - "source": [ - "## RF CPW Transmission Line \n", - "\n", - "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode.\n", - "\n", - "For more information on CPW mode calculation, one can refer to [this](https://www.flexcompute.com/tidy3d/examples/notebooks/CPWRFPhotonics1/) example." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "fd57cb3d", - "metadata": {}, - "outputs": [], - "source": [ - "# RF frequency range\n", - "rf_freqs = np.linspace(1e9, 65e9, 20)\n", - "\n", - "# RF materials\n", - "si_rf = td.Medium(permittivity=11.7)\n", - "sio2_rf = td.Medium(permittivity=3.9)\n", - "air_rf = td.Medium()\n", - "tfln_rf = td.AnisotropicMedium(\n", - " xx=td.Medium(permittivity=44), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=44)\n", - ")\n", - "metal = td.LossyMetalMedium(\n", - " frequency_range=(100000000.0, 100000000000.0),\n", - " conductivity=41,\n", - " fit_param=td.SurfaceImpedanceFitterParam(\n", - " max_num_poles=16,\n", - " ),\n", - ")\n", - "\n", - "# Layer thickness and positioning parameters\n", - "tfln_thickness = 0.2\n", - "sio2_thickness = 7\n", - "metal_thickness = 0.9\n", - "tfln_height = (\n", - " 4.7 + tfln_thickness / 2\n", - ") # Distance between the center of the TFLN from the Si substrate\n", - "\n", - "# CPW geometry parameters\n", - "cpw_thickness = 0.9\n", - "cpw_center = sio2_thickness / 2 - cpw_thickness / 2\n", - "cpw_width = 10\n", - "cpw_gap = 4\n", - "\n", - "# Define CPW transmission line structures\n", - "cpw_left = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, -eff_inf, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", - "\n", - "cpw_right = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, eff_inf, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", - "\n", - "cpw_center = td.Structure(\n", - " geometry=td.Box.from_bounds(\n", - " rmin=(-eff_inf, -cpw_width / 2, cpw_center - cpw_thickness / 2),\n", - " rmax=(eff_inf, cpw_width / 2, cpw_center + cpw_thickness / 2),\n", - " ),\n", - " medium=metal,\n", - ")\n", - "\n", - "# Define substrate and layer structures\n", - "sio2_slab = td.Structure(\n", - " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", - ")\n", - "tfln_slab = td.Structure(\n", - " geometry=td.Box(\n", - " center=(0, 0, -sio2_thickness / 2 + tfln_height), size=(eff_inf, eff_inf, tfln_thickness)\n", - " ),\n", - " medium=tfln_rf,\n", - ")\n", - "\n", - "si_substrate = td.Structure(\n", - " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -3.5)),\n", - " medium=si_rf,\n", - ")\n", - "\n", - "air_gap = td.Structure(\n", - " geometry=td.Box.from_bounds(rmin=(-eff_inf, -eff_inf, 3.5), rmax=(eff_inf, eff_inf, eff_inf)),\n", - " medium=air_rf,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "caea1e80", - "metadata": {}, - "source": [ - "Now we define the optical waveguide." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "0b823b69", - "metadata": {}, - "outputs": [], - "source": [ - "# Calculate vertical offset to position waveguides at TFLN slab level\n", - "delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", - "\n", - "# Define right waveguide positioned under CPW gap\n", - "waveguide_r = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"core_r\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]\n", - "\n", - "# Define left waveguide positioned under CPW gap\n", - "waveguide_l = [\n", - " ridge.updated_copy(\n", - " geometry=ridge.geometry.translated(x=0, y=-cpw_width / 2 - cpw_gap / 2, z=delta_z),\n", - " name=\"ridge_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - " core.updated_copy(\n", - " geometry=core.geometry.translated(x=0, y=cpw_width / 2 + cpw_gap / 2, z=delta_z),\n", - " name=\"core_l\",\n", - " medium=tfln_rf,\n", - " ),\n", - "]" - ] - }, - { - "cell_type": "markdown", - "id": "2171248e", - "metadata": {}, - "source": [ - "### Grid Definition\n", - "\n", - "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners.\n", - "\n", - "For the rest of the simulation, we use the automatic grid with `min_steps_per_sim_size = 100`, which ensures at least 100 grid cells along the longest dimension of the simulation domain.\n", - "\n", - "We will also add mesh override regions to properly resolve the thickness of the optical waveguide, as well as the gaps, to ensure accurate results." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "1610730f", - "metadata": {}, - "outputs": [], - "source": [ - "# Define layer refinement specification for enhanced mesh at CPW corners\n", - "lr_spec = td.LayerRefinementSpec.from_structures(\n", - " structures=[cpw_center, cpw_left, cpw_right],\n", - " min_steps_along_axis=5,\n", - " corner_refinement=td.GridRefinement(dl=cpw_thickness / 10, num_cells=5),\n", - " refinement_inside_sim_only=False,\n", - ")\n", - "\n", - "\n", - "# Mesh override for waveguide region (fine mesh in z-direction)\n", - "override_region = td.MeshOverrideStructure(\n", - " geometry=td.Box(\n", - " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", - " center=(0, 0, tfln_slab.geometry.center[2] + tfln_thickness / 2),\n", - " ),\n", - " dl=(None, None, 0.01),\n", - ")\n", - "\n", - "# Calculate gap center position\n", - "gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", - "\n", - "# Mesh override for left CPW gap (fine mesh in y-direction)\n", - "override_region_gap_l = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", - "\n", - "# Mesh override for right CPW gap (fine mesh in y-direction)\n", - "override_region_gap_r = td.MeshOverrideStructure(\n", - " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", - " dl=(None, 0.01, None),\n", - ")\n", - "\n", - "# Overall grid specification\n", - "grid_spec = td.GridSpec.auto(\n", - " min_steps_per_sim_size=30,\n", - " wavelength=td.C_0 / max(rf_freqs),\n", - " layer_refinement_specs=[lr_spec],\n", - " override_structures=[override_region, override_region_gap_l, override_region_gap_r],\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "afda2110", - "metadata": {}, - "source": [ - "For impedance calculation, we define a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "57007847", - "metadata": {}, - "outputs": [], - "source": [ - "# Define current integration path (loop around CPW signal)\n", - "I_int = mw.CurrentIntegralAxisAligned(\n", - " center=cpw_center.geometry.center,\n", - " size=(\n", - " 0,\n", - " cpw_width + cpw_gap,\n", - " 5 * cpw_thickness,\n", - " ),\n", - " sign=\"+\",\n", - ")\n", - "\n", - "# Define voltage integration path (line from signal to ground)\n", - "V_int = mw.VoltageIntegralAxisAligned(\n", - " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", - " size=(0, cpw_gap, 0),\n", - " sign=\"-\",\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "3b4ffda0", - "metadata": {}, - "source": [ - "Finally, we can create the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) objects." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "b96fcbc7", - "metadata": {}, - "outputs": [], - "source": [ - "# Simulation domain size\n", - "sim_rf_size = (25, 138, 150)\n", - "\n", - "# Create RF simulation\n", - "sim_vpi = td.Simulation(\n", - " size=sim_rf_size,\n", - " structures=[sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center]\n", - " + waveguide_r\n", - " + waveguide_l,\n", - " grid_spec=grid_spec,\n", - " run_time=1e-12,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "de0b6b55", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Create and visualize the mode solver\n", - "\n", - "plane = td.Box(\n", - " center=cpw_center.geometry.center,\n", - " size=(0, sim_vpi.size[1], sim_vpi.size[2]),\n", - ")\n", - "\n", - "mzm_solver = ModeSolver(\n", - " simulation=sim_vpi,\n", - " plane=plane,\n", - " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", - " freqs=rf_freqs,\n", - ")\n", - "\n", - "# Visualize the mesh\n", - "\n", - "ax = mzm_solver.plot()\n", - "mzm_solver.plot_grid(ax=ax)\n", - "ax.set_ylim(1, 5)\n", - "ax.set_xlim(4, 10)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "ddd67053", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Plot V and I integration paths\n", - "fig, ax = plt.subplots(figsize=(10, 3))\n", - "mzm_solver.plot(ax=ax)\n", - "I_int.plot(x=0, ax=ax)\n", - "V_int.plot(x=0, ax=ax)\n", - "ax.set_xlim(-20, 20)\n", - "ax.set_ylim(-10, 10)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "38935f5b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
16:43:10 -03 Created task 'MZM mode solver' with resource_id                    \n",
-       "             'mo-083aec84-4655-4b4c-831a-b60d07f90466' and task_type            \n",
-       "             'MODE_SOLVER'.                                                     \n",
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             View task using web UI at                                          \n",
-       "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-\n",
-       "             4b4c-831a-b60d07f90466'.                                           \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", - "\u001b[2;36m \u001b[0m\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=975803;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=877767;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m-083aec84-4655-\u001b[0m\u001b]8;;\u001b\\\n", - "\u001b[2;36m \u001b[0m\u001b]8;id=630299;https://tidy3d.simulation.cloud/workbench?taskId=mo-083aec84-4655-4b4c-831a-b60d07f90466\u001b\\\u001b[32m4b4c-831a-b60d07f90466'\u001b[0m\u001b]8;;\u001b\\. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
             Task folder: 'default'.                                            \n",
-       "
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-      ],
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16:43:12 -03 Estimated FlexCredit cost: 0.016. Minimum cost depends on task     \n",
-       "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n",
-       "             FlexCredit cost after a simulation run.                            \n",
-       "
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16:43:14 -03 status = queued                                                    \n",
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             To cancel the simulation, use 'web.abort(task_id)' or              \n",
-       "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
-       "             Terminating the Python script will not stop the job running on the \n",
-       "             cloud.                                                             \n",
-       "
\n" - ], - "text/plain": [ - "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or \n", - "\u001b[2;36m \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI. \n", - "\u001b[2;36m \u001b[0mTerminating the Python script will not stop the job running on the \n", - "\u001b[2;36m \u001b[0mcloud. \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "d270a5e5b5334124a8bae6b180dcdee4", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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16:43:21 -03 starting up solver                                                 \n",
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16:43:22 -03 running solver                                                     \n",
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16:43:47 -03 status = success                                                   \n",
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             View simulation result at                                          \n",
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-       "             4b4c-831a-b60d07f90466'.                                           \n",
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16:44:13 -03 loading simulation from data/MZM_mode_data.hdf5                    \n",
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\n" - ], - "text/plain": [ - "\u001b[2;36m16:44:13 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")" - ] - }, - { - "cell_type": "markdown", - "id": "981f469e", - "metadata": {}, - "source": [ - "Visualizing the results:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "7d132394", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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IR6K0W2yxxUBTXJ/73Odw6aWX4t3vfjdOOeUUHHnkkXjrW9+KX/ziF166mfjwPOtZz8LWW2+NCy64wON1wQUXYOHChV773HXXXbjllls8H7AXv/jF6Pf7uOiii2zYhg0b8MlPfhIHHnigtdwtWbIEhxxyCP7lX/7FAyf//M//jPvvvx9HHHFEbRs85jGPwY477ph8RwBE2xB87Wtfw0MPPTQrS8dvvPFGLFmyBHvttdfIeXfU0ZzTXHlLd/TIoP/93//lpUuX8sKFC/nkk0/mj370o/y2t72N99prL77nnnuY2a0wSa3kOuOMMxgAP/e5z+Xzzz+fX/Oa13BZlnzAAQfw1NQUMzN/4Qtf4Mc85jF88skn80c+8hH+4Ac/yAcccACPjY3x9ddfz8zMr3vd63jfffflt771rfyxj32M3/nOd/JjHvMY3mGHHfjee+/Nyt8mX7/f5+c///lMRHzkkUfyhz70IT7vvPP4hBNO4K233tqr12mnncYA+OCDD+b3v//9/KEPfYiPOuooPuWUU2yaV7/61UxE/Pa3v53/9V//1e58G67Skm134IEH8nnnncennnoqL1y4kHfZZRfbvsxqldYWW2yRbd86uuuuu3irrbbinXfemc8++2w+55xzeN999+UnPOEJkTzvfe97GQC//vWv50suuYT//d//Pcv3jjvu4Ec/+tH8zGc+064suuuuu3j77bfngw46aCQ7Sn/4wx9mAPziF7+YP/axj/FRRx3FAPid73ynl860g6wLs1pl1ev1+I1vfCN/9KMf5YMPPph7vR5/61vf8tLdeOONPDEx4e20PDk5yc997nNbyXnSSSfxYx7zmGjjQQC8YMECft7znscXXHABn3baabx48WJesmQJP/axj+VLLrmEmfPvkKlXuMow1x/23ntvfvnLX95K5o462tyoAzwdzTr99re/5aOOOoq33XZbnpiY4D/5kz/hVatW8YYNG5i5HvAwq2Xoe+yxB4+NjfH222/PJ554oqfMf/3rX/Pf/d3f8a677sqTk5O89dZb8zOf+Uz++te/btNcffXV/MIXvpCXL1/O4+PjvHz5cn7pS1/Kv/jFL2plb5tvamqK3/Oe9/Bee+3FExMTvNVWW/F+++3HZ555ZrTE+hOf+ATvu+++Nt3Tn/50vuqqq2z87bffzoceeihvueWWDMAuH04BHmbmSy+91PLbeuut+WUvexn/7//+r5dmGMDDzPyd73yH//zP/5wXLFjAy5cv5ze96U185ZVXRvLcf//9/P/+3//jRz3qUQygdon6X//1X/OWW27J//M//+OFf+lLX2IA/J73vKdRrjZ00UUX8e67787j4+O866678rnnnhsBixzgWb9+Pb/hDW/gpUuX8sTEBB9wwAF8xRVXJMv5z//8Tz744IN5cnKSt912W161ahWvW7eulYw//OEPGUC0tQEAXr16NR9xxBG8YMECXrZsGZ9//vl84YUX8sKFC/m4445j5tEAnp/97GcMwHtvOuro4UTE3G2p2VFHHXU01/TsZz8by5cvxz//8z/bMCLCGWeckdxtedR08skn49vf/jZuvPHGbpVWRw9L6nx4Ouqoo47mAb3rXe/CpZdearcb2JR099134+Mf/zje8Y53dGCno4ctdcvSO+qoo47mAR144IHZfYNmm7bZZhvcf//9c1J2Rx1tKuosPB111FFHHXXU0cOe5hTwfPvb38Zhhx2G5cuXg4i8QxYBtQz29NNPx7Jly7BgwQIccsgh+OUvf9nI98Mf/jB22WUXTE5O4sADD8T3v/99L/6hhx7CqlWrsM0222DRokV40YtehDvuuGOUVeuoo446GpqYeZP473TU0SOB5hTwPPDAA3jCE56AD3/4w8n49773vfjgBz+ICy+8EN/73vewxRZbYOXKlXZr9xRdeumlWL16Nc444wz88Ic/xBOe8ASsXLnS26jr9a9/Pb785S/jsssuw7e+9S383//9H/76r/965PXrqKOOOuqoo47mB82bVVpEhC984Qs4/PDDAagvm+XLl+Pv//7v8YY3vAGAOrNn++23x8UXX4wjjzwyyefAAw/EAQccgPPPPx+AOsByxx13xGte8xqccsopWLt2LbbddltccsklePGLXwwAuOWWW7Dnnnvi+uuvx5//+Z/PfmU76qijjjrqqKNNSvPWafk3v/kNbr/9dhxyyCE2bMmSJTjwwANx/fXXJwHP1NQUbrzxRpx66qk2rCgKHHLIIbj++usBqJ1EN27c6PHdY489sNNOO9UCng0bNni72VZVhT/+8Y/YZpttulUNHXXUUUePIGJm3HfffVi+fHnt4cMdzS+at4Dn9ttvBwBsv/32Xvj2229v40K666670O/3k3luueUWy3d8fByPetSjWvMFgDVr1uDMM88ctBodddRRRx09TOl3v/sddthhh7kWw9Jb3noU/u1z1+Cmm34+1GHMD1eat4BnvtGpp56K1atX2/u1a9dip512wh5L/gYljWXzEUZn/WHUzz7OXll+uTMpR/KT3IoWvCr4507J8n0pK7BOSyhAwkWNwajQ12WWlkcfG3WYehWmeSMKFGAAjGkwCECl5SfNqY8KBEq0C1v5Kh1r/iUhLQe5SIf2o1Yy7ebzRsQ/JFN3JWsshftVnGNuorSKDVPRmiKdvmFSz4As11C2KuLv6mZiCMC01wKyVgSK+gPCdEyatSvDtZz5twBjWvUTKlBxX6cvQKTkqbgvelohJHItGjSMF97GWyBuI46fBPsluNjcOyr6GedzxPnS8viXCQ5RPeNeHFNYUs1dwD/frm3au236tMyGKu5jw9T/Ysstt2wsc1PRrbfeinPP+SyWLdsG55z7WrzlzfHZfo90mreAZ+nSpQCAO+64A8uWLbPhd9xxR/b04Uc/+tEoyzJacXXHHXdYfkuXLsXU1BTuvfdez8oj06RoYmICExMTUXiPxlFsIsAD1IOeTVXWTMthDSN8Ts28Cg1XXC4fyMhrH/D4vCutSEkAHqNKSoxZXgV6mhMlAU+FUudMA54iASHaAZ6iFvD4ai8EDz45wFNqaZwUMhdZqUPVVNlSQbruFkSw4MSWkwI8/YEAj6u7BDwmhWkzF0eJMF8OCFnhpSFRW9LPlkAgKgQfsoDHa3OS5QDMfQSFRBT391yaODR95/f1MEXyI4XYu43RUw3AiXiJa07ED8iTophmIMMMkOmPA+QbTVp3b3vLPHJneMtbjsNf/dVTcexxh+KvDn8rjn/lu7DtttvOtVjziubt5OOKFSuwdOlSXH311TZs3bp1+N73voeDDjoomWd8fBz77befl6eqKlx99dU2z3777YexsTEvzc9//nPceuutWb71RDX/mYF0dH+bvqywtjMn+YU9eF4pW8g1jku1UCouVIZpKWOZU609k9o1tW/IO9UCw1AI/PKSpCSq51zPM1WrJllmUvumVmvqV3V8m0vOFmX/KP4TxJl8qeQp9mmpUr3K3PlvghsJ5Jvh0iv5pECZOllh2449NTLbcur+uG2DDECjfPNGSzfddBP+7d++jbe/41g8/en74GlPewLOOutVcy3WvKM5tfDcf//9+NWvfmXvf/Ob3+BHP/oRtt56a+y00044+eST8Y53vAO77bYbVqxYgdNOOw3Lly+3K7kAdf7MX/3VX+Gkk04CAKxevRpHH3009t9/fzzpSU/CeeedhwceeADHHHMMAOX4fOyxx2L16tXYeuutsXjxYrzmNa/BQQcdNKMVWsMNiTOh1JfzbJZleBtLw8wxsrMhKI7FALycTSGEYfKri5KTHSH54Me3H4Rh8i6+Mnx8GcLS3NeszOcsN6GdKKbcV2nMT1GqXdNtFoaFnJqpCSgNzjFfUhOA4uiekmlT9zqUTNuFvNLlGGsRvJAwZ/iMZXxqkkmWkXq+Tf1BXrswC55qeQxIyuSSjhqStX277IUCMQlI2Lrs3DiZs2XXxcwXYma88Y2vxKtXHY6dd1azFGvefTwO2P94vPa1v8Ruu+02xxLOH5pTwHPDDTfgmc98pr03PjJHH300Lr74YrzpTW/CAw88gOOPPx733nsvnvKUp+CKK67A5OSkzfPf//3fuOuuu+z9S17yEvzhD3/A6aefjttvvx377LMPrrjiCs+R+dxzz0VRFHjRi16EDRs2YOXKlfjIRz4yw1oo60oIQkY9vZQmOd0x2zR8GU7OQVUqIWUAN7Gp+zQwM34YoQILvh5RAFwhtuMMJvXgQ/5gZdQBszbSxGCgrbzpCauYcxqE5HIMr4LruVjATGxnenJ2PQmX1LRFPPnS2CuIQveTAYiC37Bkc+2kja/hhcVWkxjUpaYWk2USAczJKZ0UhzAOQZr8J1wILueaRgfgR0VXXnklfvjDX+Azl55hw/bcc2f87d8+F6ecchz+7d++NYfSzS+aN/vwbG60bt06LFmyBI971FEoaRx16mT0tGnLkpaZYcGV88UZjJdxOA7zhWpXpWPrhCypr314ShFnnJZLKD+sjdiAEj0wVzo9AdYZWjuz2jpw8GumFtn+J4kTeQqUooWrTLq47Z08Mc/Qx8mkjeWFBeuVLUfWRl9VWtV4j0vUTg8hzmm5EJCIIctjGN+XVJ2MSqug2txXeqZeaadlk46VIGSUvIElBay9kpR1sWLjtEzaadlZeJTTsvYHiwAPt3actekyXT0FG9O8ZRsG8ZyLYz+sxrm4Tp6UdYm1nCm4k+Iai5p6N1IycZAvJ1csXzIdp8Pz5afDmPtYv+G3WLt2LRYvXpwSbpNQv9/HPvvshlcc8zycfPIRXtztt/8Re+z+clx55ddx8MEHz5GE84vmrQ/P5kLu+z+eHJm9v/hbbTbL8n+H+5u5zGTVVjP/XJp6/wQ/rBBtnZI8fAJtiYLfmVL7/MOWpJjUcBnIcXMU9W7ikZv8km0fXsf35OWbYU+2yQfo6VSIIupkDtOkrwkQ81l1dU/xzvDn8C1LtUebsLCE3LNtBmvDUH2PSsWO5K0amj75yVPxwAMP4cQTXxjFLV26NVb//Uvw9284vtWKwUcCdYBnaJIvs5oCmW244w/Ko3dWzg3uoyhrOCfr5jyEQvsG5eLKIKzU1iB1X+prQoESEyjQQw9jKDGOHibQw7jgX4i/EmR5F/q6iMqX+QqMBXxSdSoF76ImbaHT+nEMAkfpSy1jT9tApFwyryuPuDAmHDAT2N7rPxQAm3qHy8xTz1DJy1ZGGYfgmnTanAUCIp3jTyhRYsw+3wIliEpVF12GL2c4HPr9f2Y0Qx5s2mQ+0qaTi9lYd+ZXW8wHAPHggw/ijDM+iXe+8zhMTIwn06xe/Tf4n9/8Hl/4whc2sXTzk+btsvTNheQKoE3jSyPL3TSzyWYZd9M+QG15FSBvgXIbKlGCgMZ8PS1rKl0PPRQgvTONDCvQ11NmE5hU8QSMoYeN2IhSg6jK7jGzMJioMdDCd0F17ZU2mJvnZ3qPmbaTU4gml+Ft8qT3gom9J4zM8fQaw02/AeBEi4mpKgKByU2NxTMDDJApT7aKbAOycpsl4ampGjsFx6Y82LQs4lPtCwBcsMgDVNRHH309fdjX7TKNMZpw05zUA4FsPyAAINPvE1NoVGqg1+QmT17d0rGZCNOu0bMNnzM3XhMRmKWs4egh84SSMUJJlQtPXf62YRSk8MsyxsMYYIx29KvnFMfOh+XoZ5/zWix/zKNxxN88M5tm0aIFOOOMV+CUU16Hww47DGNj+S1UHgnUWXhGTOnF3LNb2uZIg9p21Pd33F1TdpycjQ1A1Frh93cqrQtrau9c3GBf+XVc0iHD9QES/7aVJmwndx2nZ5sq9W9d2TlKSew/RW/rAQ6fAAUp5V3YqrlaEoqk0kv3xlyfztfQ8I9zSJ5uqipVupQCgRRhalmz5mlfIK/06+qWq7+653x8tq3blJ5r8bwk+XZSYXNt4Lnzzjvxvvf+K9773hMawdcxf/d89HolLrjwDZtIuvlLHeAZkupf4Nn7q5Nhtv4K0Ej/m0mtQx+enEKoH/Y9lRG1awxrUi3uX8WKPk7ThnwrUejwm+Lv9zrj2Cvrl97GIJRYWkvY3sq8+TzpmvjXdSow5JWq22AUP7+4H8RhcdrCuw85q7ci/2a2lTT+i+0soXzq2um6dLzHgULZh6HmOg9bgjVwGX6tQc+oKN2/3eaHc0dve9vxeMYz1H47TdTrlVjz7lfh7Wd9CmvXrt0E0s1f6gDP0OQPmvJuNuFHsQnLwohLgm2tmUkwDGyKnZ7DpxarPll3SRSlkfK5MD9WqkgSINKlkp5gBRzQlLL73mKp/uDaudD/xTVEUHb4nE2LFUEe8688GKQI8iFI74fEbexqGuZMpfbTpHtYWJewBj5v9VbJcB8gIxGSrlu6x+Z8tNJka0HpPi5T1nPyrRGxZKmeH6b07zkCIf4bVvsG1m1KGPyR5R+W10y5sSGfvt0fwIP56M8C/fznP8cnP/k1rHl3+40FDz30z/Fne+2CNe9+9SxKNv+pAzxDUqz0woF2dv5C4+9sliWV6SjbbNA8bhiT4Wn4E8OTOt5+/Rw3qcSlHPF1He/2cgxGufT5MqlFmmEkas8jVT6Jf3Nc4qdfX3Iqffi+SpgWK/46CdzbUQfA6ySNAXzIJSVD7jrsqbpGQ2no2fNfyS4dBwacM8qNKLk2bBvuP0muzb/p6B/+4TgcffRfYI89dmqdh4jw3veeiA9+4N/wu9/9bhalm9/UOS0PTW6wTMXNhuEz/brNXlnuXKHBFHian1S6g8tC8FevxBs+5p+IgzFyyiCtSkN+Mo1qk3byhtdxuW3yz7zN2wOblFNsULp3KKcJS/Mi28ZVwDFs79ApVxJ7KWOJUg62TYAv7iEcxUvHWdVj/L2MBFwid7ZqShbJimz7yeimnhRLGZZidiJO1Vo5+4qeRKETdtj2HueIa2rvHeUQ3TS9OdjoFJc8SHkNosyA5sOqLAC49tprcfXVN+Lnv/iXgfPuv//ueOELn4zTTjseF1/8tVmQbv5TZ+EZknyFmPKVGP2fKmn2y3JTKf5X7LAk+bel2JfC8Ep9HefLDa8cD6cGQ4uPnysNpNpSU8rBW1fWahA5hnmOOXDYlmcKCjqSkyKjIQNzU3LIyUETFlpqpDSp33Tf9NMBbedCovVIWd+bUK74mogSxaZ7dhsic45VfapMGSnZU+0oysmUNXv+PPG4Ol/ADjPjDW98Ff7+DS/B9ttvPSMeb3/Hcbj00m/gv/7rv0Ys3eZBHeAZAckpkEEU8DBlhSBkNsoyFC8Indl/zkMjhhdN/0m1U3jh6TZKtY6ELGGbSV4+X6cUwzLaUpizPQ0KLAZ7/iEfq3o4n6ZduaOFKk2l1eXOAVTZEwHYTh4CH58Teb85cOT9R0HvC16mXG/PAwL/OraBueucniaQNgvFPOO6xKWlAF7Tiq08BEqszOJUzpjDpl0aXoO+NhF97nOfw62/vQOrV//NjHmsWLEMJ5z4QrzxjceNULLNhzrAMyS1UQgzBQi5oRDIG4hHVU7aQTaWY9DWigfVtrnCkHR96w4klQop5J1SN+a3yeIweGt4KrCWU7v+NSSN6AM2JUchfjeNuqDg14WHztcuPO4FAKzi9c9lS/XcNjYpw6e596fOgXPKvQk+p/arSZRHYZowfeo+1RtH+1RVk9e3o3cXpc1Dq3bhfnv5mx7OraXnLW9ZjTPOeAW22GLBUHze/OaX4wc/uAXf/va3RyTZ5kOdD88IyIch6Zd1FK9KqKhzNIoNAptqNRPQM1PA4ECI+i1QvwGhUVrhhnGSj3NBdCDM969JgRKXn738beolS0iFO5niJ83Bb748/3zw9GaR7Z6da2snHQc+KWn1Cp22sPIEfiTZtvBl9GVPKZ1mPjKnvSfSe/OQ5SiftKlv6tkj89zTh25C+5u4VHHTx3xcj5Qhub4jaxDEJg49DQprjVdcm8Q+PLbmkW9N7pl5uQJmpo3mfhppvkxlGbr11j/g6c/YZ2g+W2+9GI9/wq747W9/O7xQmxl1gGdYYjkwNimj2iQ1ZcTZGPkPoZlbYEz+8D49Mg62jiIN1nJKOZfX3ee+jutBYV1s7huw7r4uPOeOK61I4bCfVmvkxaXy5cgHZzkvM3O0JgvJ4vL9PL4E9X2urtXyztKSezNgjMtxMqVtekiGGYjnAxsH0tLAgrnmCYosxC1AmpfEAGHTB8Je5bvw2yu1WYyQ0ReGQDWHsDYJB79OQYphgIIBaXmQZ0pkL8+od2Keb2DHUlWpv2FpnlZvtqkDPCOkpg+mYWBIW8UrZRkVuWMAQhnal1Kn0Jvy1QOXfFw45BWCW7zI1KgViniE1zNt2/Z523zR++lCENUOgMTnkauLtJRRWjSndQDCUJsWMLnNFFA7xSfDm/qMMiIQQAieeCp1XJ45ZT5OXc8nPuIBcXyuTT3FHgIwCYoAkIzPPaPwzDMA0b1L68f7sbZdNLKaCWBgnvkeN0Ot3Kppn5xFcb7ioY7qqQM8Q5KvEJttxOJ4oAHKiDO0A1eDv5WDzdK3gzzxt/Sgo1pKpjo5jQoLla2EBRSkTQ/xxjPInOKUkkGqwXqg0gby1LdNWjm3pZryEx1KTrLlYtr0lrD2KTUCxJINZ6kMe52BgXJi1NRE9py0jdCBg4xMCU2dk54bqyUT+KDGBx51Vh+//n7bCnDCfljqaThrUUu4PgPUosCOse7MjNpMqVHUtjKdkGWovjeLNCoLzyPUxNMBnqEpVp61qUf0HuUsH5JGddpyncWgDeSReXPf47lhLrd0PZUnBwxVnP+U/GvjUOoGkhQMCuFN3gogS87Fy5AQmJnw2R502yux0ZXYFrJF9pgBymiKTcFeCXVS73MBIn1gK6eeTaoPp4BLfMisS2FsqaHtKDV9I8FBYO2xl4M837SFh+FPjc2M6uVwjsFmpGn3GTUaX8VQljpr5DwACczdlNYQ1AGeIclXic0WHkC/4C3HkJzSa29ZGWTaKQcu8jQoqGoD1PIlh+CjGVRIhZZWU77yM6n6QXxannpKw6FmJdROTc1MCeVBVPtSQ3N+WxUVcxpMAvOk5EaY7crwQY769VdnpbKF/jY5m5bj2CSLe/GbWizk1RY+M9DsrCzzN00FKYYNXMKptRZ8s/mBCMAl0wNhmYOXG3C12cLyw2nEOSTmEc2nPTIRTwd4hqbBLDwABjh4Ls+vLXBoX1KeW52CaZIhXs3SntIQxfHtB8CmrYUnlMvPFStBOey5odBMiaQG37YD40wG0DjPqC1BbRzJ23JKhYTqI2y5SkCRkFq3LpPV07knbUOJNLgxYERa3EyYaZOUdY8zbTaYhSd0Tq+nVMsBbpVTHWgIW7Ad+BquR2QsSIN8/SU4cnAFpEBP+Bzi8Ng3qqOHI3WAZ0gazGLhcrV5z+stK21LagnCGnnUA6K2NEh7tflmbsqfs+iYVUly3x45rZH59kcODqRgSExN7ZQbbI2iTPGIpfSH93pwxNmbWKrUdFQKvKQsIWzrkJqy8Qt34LX9tKAPJuInIW0rBAJRvCeOVyLnJM2VHcfFd02rj5reJV1HT6EHFijPujMT4B0AObnSq4FLCD7aWlvkCjhuJXtzvYZzYpY0z8BPt0prKOoAz0ip/dcK+aNwKkV9/tYlNQOSJmDhlisPlr/O4pJOO5jlwrfS5GRgG992esqpPzntgcbSJCxpD+py4bn6pCcAJPnfsNJCEQ+UzqrgVHFuVV4aUBhgEEoT2mKMlVBCJyC2kIU18KWtf2kIfpl+TFiKzOFaCSCWZ2dJmXI9gCOp21lEJVgZ1NKRSCtWOQ1kSdV7BYWAmu101uisH54/H8s+MSwlxo+WoIdd5RORISDP9aRNRJ3T8lDUAZ4hKe3s2I6avuVmmjfmNbylZFQS1XEafHKn/dRLaJ2If0mouPRaHRZp05vizWQY3HQDZztfm3qg1SZ0UKkUDTLNm7eCmev80/agjS7a75UyheTP7KxIqTrknM/TtaBagOTbbQwsENNiWpmn/XWan3SUwxavYY+3j0/OAhSWGgK30Bo1emrsgQ0Y2YE6IKpjNC02D0BC57Q8FHWAZw6p2cpTk3cG2XJqok2+5nRxirSNoI5DqGLaUL1FxZyMHquzVCm+NSds42GHvLQlJE6VbvGw9FAJwsZLq009j3zpaQnzFpR67oO03EwAYDNk96/Vnw9uZRumnoEEOm3q0/bNasrdrizfF6bpjQ2Xt2setf2lDpjm0ukWJkSgx1/qrnsyh7wGpYSVBwQmDtJYIcIQX8YZStHR/KUO8AxJvlIcHL2k9uRo43czk5cx9dXXpqyZrMGpsxTUD8W+0q4vgeCWktdzTQMjvxT/vKfQOiBzNIMGJFMNaydJD+jNuUZjRUqp+/yJ9zF4bdsuzfLm2rEe/HqUePGM/UZReJ6VsFoEpfiWv6pWhpRVJ7TmtH67o0J8ADFTyhtkhgAiHs6Q1iORJpo6q2tF+aY2+YTJXcRzXDYTeNNNaQ1FHeAZCaWVY+ucM7DyzMTCE0KXtvnzPh11JeV4tcs3iGxN6dtKH09jUfJuGPg3rJUo5Dd4vlA95PYzGoUFY1QkpWwDONMTzST+Ci9GOq4b3gwf9EhlHAK0tBQ+makpYdEI4poVveSt/anYACxfpvaQPAX84vDB+2wMYtM7U7ezIQ1SVrZ86ePUMM3WHS3x8KQO8AxJw1p4AP9jc9RLjEOaCeTx96Jtl6MupskW08TD59e2zUMIE+/n4q/SIq0YY+O/4RMbxNvCmXp588uW87xmAqRG19diABCuRkqVlbJX1fEYTArJLwV5QguU20lZwhI/BYHFDk15Keqk8/ub6YPSsjnQlgDGl2egZ5mGGH7Zg9g+fAtqbqUVAdo52oX7zzh3PRpSU2tSGiN7m/vZkWlQImZQzdEkrfk8QhFPB3jmAamBgAba0HRm0MqUNljewRXpzHkpVTSIdG3AQzvAll71JcL02UuA8w1Kf1nKko1FgXRqTuZTTtPqhHEVJS0ahqSNwwEzkzqeInG8jTSpPZWIcw60HJTuT2R5K27AWvEWVgaV21kgQruGX7vU5Jhv+fChpQMQDCdLugVSdZup8mpjfTE0YoWdAEMpa9xQeyix4ipuhqSWIGagolLQts1mEeF9mF6/mVwf39HmSx3gGZrk1+LMv5gH3b2deIjSBi3Lqqvh2TdzGc6WlLSMCKBSFy7vo3U+xgzHaHVWUE7pxNMYLrSIBtw67k389T1xNk6mKTyfFgeiwlL98BAOcVQKo0xIHkvihxUujOJ0/mRQilflP1eQbW4LgCkAjeRbJ0yY5Cq4+UFSDka04inFxQWwlcvwiZe8pyxARlqvwEypqYJr1Lcnf+ZjgfO3fq+u78yyqFSvSlOCM4fgvLnsHCByR4zVAKaZD/XDEY/Kh+eRSR3gGZIk3Jm53WXwPDP91pjJsTiDbSw4akhTT+EGjkneuQJrTVEpZTtbNLem8rk31M8mSfUbAoMQnBlAkbIUhdNcKUtLSHGrSr7t3isDOnzQY+vDEtSKcFGjegrT5CyWbce2fLp49+OZTl+lLFC+tTEMM+Wnd2HejHp/xepvWNqMqjxK6gDP0DS8hWcmr5wPtAbJN3hp7fbhMWmHpPiDVUa1KpPDmxkJFWdK2z0eLhQqy4cD+ZNzsVpvAil+Dv/NybVTLn9aOib5te4sNw1oHNbqM8TjSr03RDM7ViQNQQJ7pn6xR+UQnINp6afqHJbr9wZyVq2H53v+yKYO8AxJMwUeIZf4i7KeZvIy1pnam8pqk6NAO1e4mbVX2rSuBuiQfwspMpVqzjmqofDhBCwMzRc14U9H1oHoMJfb+zdt6UhZeDxlSzk1HIcwhwBDgp02PdGMPqlpwjo+oXXFEygjcZ1MKX7BC5bczThl5WlrRXJlNa648ls9kaJt3eYBdcvSh6IO8IyUBv9C9h0/2+edCdCaqYpttxIqVAgzKafuC7PG7BMdxpoxqbeSIZ7mSEkyqHfApqJRlpvnNSqwNnut1GxbMYowPc2V2u7A9wshkUek8fpjzkroc5R3KbXvuJEns1lm3W4yrZ4YgNkIMF6tNdOpp5g3QMFGhI5n+xVqgRy5nZJhyolBGBEngNKg93NA3U7LQ1G4u1ZHAxJ5/xXBffN/Pq/2fwPLSakS2hG3kMj829aHZyR1GjBfU7nspYrzAIOUt6ng6CObmvtbuq+avHE/kP055lRHbqfgOllEGUTw9wBKS5XaLgFAxnneLyPf44O8zMk6x2lzb0+NXZUZg29t0Y6GsYnH7ReOx4P2gE1AXI3mb0DEc8EFF+Dxj388Fi9ejMWLF+Oggw7C1772tdo8l112GfbYYw9MTk7icY97HL761a8OUfHRUAd45pDSAKjd30D/UY57u//ic6Xr1Egz38Y6cUuwyASiepApY8O2d9cAMVCQr2agy3AKSuZo83w3/V8sQ7r+saSperUtJeRRL9HgtRhlfilrSvbQv6e5v8ZvQZ1csuxUGWEQiW5ILgyAAxGp/h38kfwj8as5BKeip2qbLsC9NIZfHW+b3Qtr9z7VU2L6kONPtXo5kEiZen5t+9nDh3bYYQe8+93vxo033ogbbrgBz3rWs/DCF74QN998czL9ddddh5e+9KU49thjcdNNN+Hwww/H4Ycfjp/85CebWHKfOsAzJPkvVBtbSGYASfKb+ZAe8hyGmmqVBjX18tS1SZtl35JPcypzFcIuUTq14BYcR5BTmzIkBnh1kso0HMSFd+2eRZwrDTmba1QHVV18Kl++HjnKpRo0N9l/83V1v7IF/bCwhfMqUQFwBAAj/Avb1e+jeWLvp0aN1/DIkd8eKTnajUnCt8mzeBHCMtJStJHddx1PysLh+5R6avqqZrwZduwcORkfnmH/BpzSOuyww/D85z8fu+22G/70T/8U73znO7Fo0SJ897vfTab/wAc+gL/4i7/AG9/4Ruy55554+9vfjic+8Yk4//zzR9AIM6fOh2doavcip3LlqO0sdqvSqO0gUl9WfXxa1Q9aRr1qTJmkFV73naX9dAWpDf3CGEIBRpUtpW4ITPl+SKnj0gYjx2N4Isxs1c3g5aRlDl1n2/Tb8HS0vPR1LUUiRdNTNnxMatU3/DSmLfP+E+7k8lQNRUsIwJJ+OmmwEXJS1+aOoHp6GyfgXHiYp22/Se/Q3JR/5iepp+QTkMvjWce/qf/MQ0eXUS1LB2Pjxo1Yt26dFzoxMYGJiYnanP1+H5dddhkeeOABHHTQQck0119/PVavXu2FrVy5El/84heHknpY6iw8Q1LTV0/6rym2xXRO65KagUfT61OnMAeTpunrUIRERda0YrRpXtCWXLjrZLlS9bVrszBfXdjg3Fz9Bil3WGord2zjyHNLfwqknle+xJn1pVRZTn5p5QutOjJNKmeOKHEVx5pSC3EfD8P1dZIWjiF7AiNoAVdiqv75Fg8kZddaoQVL9gxnXUnxanrCcevMdMl7W6vynJNxWh6BhefLX/4ylixZ4v2tWbMmW/SPf/xjLFq0CBMTEzjhhBPwhS98AX/2Z3+WTHv77bdj++2398K233573H777SNtjkGps/CMlNqtZmrzarVZBdTIh9qVNrzEufj2g0/+1O12lM1NLk76ZpBtG7dChABrDYpXfsCmJrR7Piyucnna8Io5po4YmOn3aLucrhYYqKS2+VSd2krUXuY2JJ+rCeFEqEvtgzlAT9+QC0/bHnTapE2ngNtYMPd0SUzVuH2v/b7mSgl7forczs653umnTpPMT4JvU+npcuufW2g/rZM71Qb5+9ymhOG7/HChww47DJ/61Ke8sDrrzu67744f/ehHWLt2LT73uc/h6KOPxre+9a0s6JmP1AGeoan5C9VP3W4YHsX3RrRau4bEeJ2Oy+SrByqD1MJPGy9PD1WA7xRZ6QP1OExjB2BATnwRFSCuZIhXjq/8IMa69mb+wWrvzvwaFAC15d2UZnDegymA4ft0CPrq0tVZWUJ4U0AdCuosG4a/D8Nq4JuOTsGk2FgZ941Y0fq5bZkkeywHrUF6xixU9Om+qN75UGIfdqpz1pqhaAj+yGuJ3GeClp7Q4jiVsKR4Ci1egj44zXyabRPRCPfhGRsbw+LFi1vnGB8fx2Mf+1gAwH777Ycf/OAH+MAHPoCPfvSjUdqlS5fijjvu8MLuuOMOLF26dDixh6RuSmtIqjO8pv42ZdmD5CsAez5XMi7z36aoByXKb8tLhvvccvniEtq0Z+o6F1rfanV1aydFLl2q9nE75Eupy5eShFoNL/kn0S5nOq3/TPzpTD9PXF48xeVyFZk1i/4kWVjvMO0g5ORILR5IcWs/FoxKsaeADGfimighbaJCoSO4stCYe3ZrECiUgf17VvvxMEP/skjjg8vwCcwFUVWN5G8Uj76qKmzYsCEZd9BBB+Hqq6/2wq666qqsz8+mos7CMzS17/4jfUkamM0EjOQsObnwmU1D5UzQCV4M5MxUBflKxVlyfJsNASAi9Dl0XZXf8YC0ghDyk1DSEhPWIMwZcpD3Ls1geVJ5U9/fYXvEFhHyfmV9zDSHrFOqtnHPcGlD+JCarvE5p8oxz1jmKKDcmlMtI9O60sNJELLhZNO4p5Cqjcvlh4j0FD7BvEyuFUR7UQHmPuoofEZ+uDkUtY2FIgauuQmf+LHUv/POypK25uTkiTcCrEvvx3EkrHjmvnkWqRqHb36+z88Dy49CZpu82FNPPRXPe97zsNNOO+G+++7DJZdcgmuuuQZXXnklAOCoo47CYx7zGOsD9LrXvQ5Pf/rTcfbZZ+PQQw/FZz7zGdxwww246KKLNrnskua1haff7+O0007DihUrsGDBAuy66654+9vf3vhCX3PNNXjiE5+IiYkJPPaxj8XFF18cpfnwhz+MXXbZBZOTkzjwwAPx/e9/f0Yypr6mcn+DpW7+q/tvJjLnrDxF5ttyZhRzKkBpmUjXkhJ/oYx6PxC351DcVk4C6Uwpr1K/oUJvRwYM+s8/3yLuV94525qLLaKUTTSMJS6Uv6k9JFBKl0rBb+46L7Pv8JuSoYlkGX7NXFuHdk0/JcnsFPOVVp6wv/lvqbsqqFBTTESJkkks867vVe23dUi3g0wxCD+DB/zxIfUuUZBmUEq1AWE0gKS5/z0S6c4778RRRx2F3XffHc9+9rPxgx/8AFdeeSWe85znAABuvfVW/P73v7fpDz74YFxyySW46KKL8IQnPAGf+9zn8MUvfhF77733XFUBwDy38LznPe/BBRdcgE996lPYa6+9cMMNN+CYY47BkiVL8NrXvjaZ5ze/+Q0OPfRQnHDCCfj0pz+Nq6++GscddxyWLVuGlStXAgAuvfRSrF69GhdeeCEOPPBAnHfeeVi5ciV+/vOfY7vttpuVugyjdDZlWSlrTnjwIjAo6JnhfLoYxHIeDmF6eaCitEAR6S94luljJSYXI+fsB4MPrTluyIbVg4U25ZiQNuo//sZNlavi8ilytrt8KqfyQ/+l+nxNVNfGphbOb0eBE+PD4yCGL2nh5Y65mxzqV3rOhD41sVXLxcnQKBWl2iH3fP2WjN/ptF3Qtx261PW9yNUzzNmeKHvkRB3lP35bykAAWL4BUWTN/RzQqI6WGLAe//iP/1gbf80110RhRxxxBI444oiBypltmteA57rrrsMLX/hCHHrooQCAXXbZBf/6r/9aa4258MILsWLFCpx99tkAgD333BPXXnstzj33XAt4zjnnHLzyla/EMcccY/Ncfvnl+MQnPoFTTjllIBnbWFRmi4b5PqqNC1BPWn20V8l1w2UTcHLDnz+VEOYhEPqovAE3tuqo8CL5zORgH5+o5A/DKWAxcwqH27ph1VdJSMph4jlos5zjcro2zdAun2+moHuU75GzoLhOHbdf2k4SWg/CnOlpzRyACdtFAgm/RxngleDL5rRvU7b8GDA83FSZmiIzJQVTQFYmKUPqWqTzPIvjdD7uCPtPyF/Wu86hPj2a2CuWaVw5FmAyori6qa3m63lAo3JankdV2pQ0r6e0Dj74YFx99dX4xS9+AQD4r//6L1x77bV43vOel81z/fXX45BDDvHCVq5cieuvvx4AMDU1hRtvvNFLUxQFDjnkEJtm1JSbdhr2PyT+8jG5wT1DnAdzdWWk61/31/zt6KumevDkS+jL7Ni4azMF5k8ekXfdXF5YEiXi0+rRhde1Xh2lJWwC4nGp1CiJi0uXWC9Te4Dc7hMiBVjdbwhVyEtB9pcSLvmpfH5f8EM54B6+IZQoIe5dTqYZvK2DUQCEWus+K1aqdYMiWoT4PNQviaMq0qx1oDd95oPP8Okkq5CRInweHT28aF5beE455RSsW7cOe+yxB8qyRL/fxzvf+U687GUvy+bJbXi0bt06rF+/Hvfccw/6/X4yzS233JLlu2HDBs8j3exQ2Twsje7FCaeb2iqVmaWS6TPgYQa84x1GmhU6c+WNsUUGpxcoUOlJqZwVSKVzqqcvJrHybUsAWH/kqut6ifMTD/VgwqXaFLsj+yWnJjP9uqhpICA98SlzyN+6ia42reLnqbcIhPwHKVM/YwtEwt2WTUuYdK5mqj/GFjHfZqenXyiODSXwbaL6yZDJVW858a08wj4aFOf39nZWjnyrs/d+htYvb1KIE2HRfWzx9EpjTobHnAelWJL4uTa//7NKI9xp+ZFI8xrwfPazn8WnP/1pXHLJJdhrr73wox/9CCeffDKWL1+Oo48+epPKsmbNGpx55pmJmHrIM8rvhKavj5F/kzC074tfxjDlzGSqo52Sc6kHLofM8RSs5/OdUizIbUaYAkQ5kBSqpKaBsmkY9e0B7aa/ZlZSO1maJ7zaSkO1yi8tV/gm5Ldh9OEJ2b7kLCmFCDcS+WWE0hIKVAintBJPnAuA2Eqn9pZqQwGY0dNZIczMqeCw9lEtkr5AbUhwlgCHZbykdtNaKme8cq0dDWilakGZVoPX4iMfbFtSN6U1FM1rwPPGN74Rp5xyCo488kgAwOMe9zj89re/xZo1a7KAJ7fh0eLFi7FgwQKUZYmyLAfeFOnUU0/1zgZZt24ddtxxR7SbOBg9xdae9mUNbuFpz2EQC09b8GRUVZs8EoiE7RN+rwPyHC6fP4sSc9/tafWjuIZWAJc+ZX4PAV1sm4pDxde7Jwll0ktwQTYnCetE+qs6tnzJ8qTsOfBn7qsoh+QZ1y1ud4pC49JCH40Ymsq+VAQpXMtJV33zlqe3hpRxvveXD6H8etRdk9tgkMkClBSwkTafXAkA7EqrYTbV88uX/FzM4JbJHLxIf+QoK1mu/QBICywl+HssZTrJI0qYlHFOaI6clh8uNK99eB588EEUhS9iWZaoah5404ZH4+Pj2G+//bw0VVXh6quvrt0UaWJiAosXL/b+gPyXtwmdrb/09mft/gai4L3ILiFvydv3ZWhXCwIJOerSyaXAed5xnGlTAgh66bsrza8Aoa6+aaiSbyMfyMV+JCEfP0T2Pr+90nzCZ5crKSUtiRDywkLp5IqmkEeOUt4scflxfdKyp1L5vjThk5FTWXleqaepwlIwXh1uSzN46dKc61M2v/XpZe1t/+ItEurlQPCbCkvxcL82l16qz+Za1cbmYg+otKf6T9X6hzaDR9rRPKB5beE57LDD8M53vhM77bQT9tprL9x0000455xz8Hd/93c2zamnnorbbrsN//RP/wQAOOGEE3D++efjTW96E/7u7/4O3/jGN/DZz34Wl19+uc2zevVqHH300dh///3xpCc9Ceeddx4eeOABu2prZuQPBLP/Qsy8rJnL1pyzKYX8/m4vh1/Xunx1ExLS0yLHL3XtK/pBjn8YhHyug5QRTgu1KyGXYvDyZ5IjVHvOTjBY7zR54mMW/FThJplpUGXi5DJ5A4L8CSRiCWTkJ4+06ug7znlI1dUKLVY+hZNa8a+/0aMvRWgLk2EyPP1USU21CTlyvjsSuIVlhhOPfpjI4fntxHa/kGSKXP1ycsi4mb2Rs0ij2nhwHlRlLmheA54PfehDOO200/DqV78ad955J5YvX45XvepVOP30022a3//+97j11lvt/YoVK3D55Zfj9a9/PT7wgQ9ghx12wMc//nG7JB0AXvKSl+APf/gDTj/9dNx+++3YZ599cMUVV0SOzO3IfTOGy4BnlcSbPmhZA0s2QFnNvJ1CGERu07Y5h2VXPnm/TXHyu1/dF3qay/l6VKhgVoJUIOW4TDFv38Kk/q1TdD40Y8hcoeJJW0BUvipIi6h+JmXYP117SHUUD+0GMJhn4CCF2dHGKbQQMsp6STkcCIkn0vxJIj/G5+3757jWcDUz9ZSt6J6VtPiY/6SPjz+15UjCIVkHd89w5btnGgO8GLoAatdlWXPHj0WYySOnJCm4L0CotLN93NfaX8tW1UcxRGXV1a5NzcMwHW7Bjs+LJT9vGqq5DhGAtSEEEOubcGItflKbnEZ2ltYjk4jn9Ulp85fWrVuHJUuW4JAlr8cYqRNm/e3GZpn0io925xX5NCP5qF3N2vAOlfIAIrTKVvctloozhxWYaxNfkFoQUYhr0mkrzpdRR4wWXg7sg5gcnxzl8taVnRsGqmSOtHyp0FSZKZ6cCGVU0fNO5a2Cclnvx2QAVYUKfVRK9WvfmEqnCaVzcjjJ2QN0+l+GOMhTcvHTuZgcPxb53TXrg23JS4cgnyvTt5/498yVlzYlaa4eybLseVO+dSefT4RFS+J93vnyGuQSgCdVB9cWqbiEHFwTB6CqpvHghl9j7dq1Ax3AOQxNTk7i//vnk7HbTtsOzeuZJ34Ex77+bfjbv/3bEUi2+dC8tvBsDiS/m6TVYtaXFROp4xSAgS2cMwE8BRWt6tSGd4l2vGIZ2pz67UBJKi7c2o0AlARMa7Y9Avp6vBsvCBsrRo/Mai1dP33YoCEz9FOhvkaD71M7FsuhnqFAlAmX352VuROFUKGXFodjvK2v/T4F6yU9XkuxVKemfHKykZ/O2E/s1ovijKZYfZq4QqxEMmkD9cNO9Re2H7Cts6daSNoz3HsVquhK2J/IcivsyqY+VyD09Z5L6ikyGCVK9HVvMG9uP+hfxsIXEcltEPIQm9SXgncopQNaEjQE16RsmRVXNo9sn9BaJt872Z8AqE0IEYJauamm4yq32PSn5wRnscqL2fCSFrdUmOTlTxg6oJIOs0vyg9PQPcuk6viR5KkWy9/ra/ZbN2+J6mhzow7wDEne1Ix4B4hn94WQ59tQ5oDNbN4ZlKWARDvAUUtmzGzBK5YDsSJPpnNm8CQTCSQQKAcQCmK71YV3IjO7PCGoMfulhcOpTC/jC9QPnSGvmEf6AFO59DmthkmU7yYkEMpu9yNgv68FnI2ekVaylPyGv6dmyM0e1CnsHA8tnd0dyKWl6EreSfdbux0BjLW0Qjip5abFwtZ04aHCj6ee4qMzOPh18MUFmkm1+l5f/0YYnOAfLJqSxlwLAbwyBBD3HlCqh6drGIfl4xh+50jJL1sbYt8hEulk7ybh9Ox6MHR6U1AI9cQT0ukGHXNHRtxNaQ1DHeAZlqzGDOb6qWkYGqZIp3ZMyKyVRWFJwwE5Cx4A8SXVMh98WZLp9F+RaBOCmZryFTiRN1aC2KmZsMjsFiaUvGygOkgiy2zm2KrMOiA4ADWpXwp+w/BUXC6duvefV5sahBBFeurEHOU75Zfugx1fQYf9LAJ0lgeDqEDFfYRSNQEN1d8aIX42hmGwaxP8DCXPt7Tcm8t1KQf8ZmK9jacWnVgsQ7VY4fEakbSD9PXadKJ0lpIMNw7OmCoe0T48cwTY5pg6wDMkqeEw/Z0+O68EJYei2SjLWHbAAqQkym4rB0meTYkzfJt0vwUwQCSoA0OhQnJfbOSFqS/FcBE7a4DkW2CagZgUKVePlMK0H57iNoe5siDDKA7xtWwLEoBPYlCZxOMF8e0rgGgKdocyu9+4AUIbQcxlZoO0axf1rz3JnrVNhzjRduzlT7WBgVFsp8XS8MWvtW8FkpNV8pMpfA5y6qhut+Uojv2X1x3Q2QS20tfM7FlJoN+d+NyudPvFjz1dj9iKJNIK0BOWpe7Yu8vH+fG1cfMFH4xsp+VHJnWAZwQUzXEHNMruaRVIAEJmgzxgQonwujzJuFBdtG+blDKvK58SwtipDPIHYyKgkNZzATBiW4ADPTJ/KEOuXpS5NuSpoADo5AGBTkdGkcf8pFz1vTUnWTOpKYew1DQIk9MMdWQsKIP0lbhMB3fSlhyD7NQaPSb9Bc2qTvLIkjal+VYgFiHt2pXtQaESMDneEvSEPjdyJZOx7gQ2EjE1RAhtFWF/8WvFeaAuppsknAt5pYCjgFOu/jZVwvITlBeny0PP+vuMVAOe4N7R/KUO8AxJcnnvaNVHPR9vleksUHrfkpmT8HTyB80W44c9T1CMTXmlb55JnrEsPrXGzTatvvCAXyNHF5Ky0li2kV9MAEZ05iJMl1M4wXhPmTZqeo6R6rAgpk0+ByZ8p9xUhpwlIS1HTs426dTHgdky0wc9xkKjpjET/FgAFfkAGLbRnR9QCClVene0hDFchM6wPiwK+wrbvAMq26SVJKQQHKSvlT8NxR0tegqp63xY1A6R9SmUVranBCQujwVLxFHfjUCcAOguzrfsUFLWuaIK4M6HZ6bUAZ4hqS3uGPYVSX0lzxbeafslOkj5vgoQSpxSpmSf7GoiS+kZdPMFbwBFPxjtDGgi+CZqgnO6JY+X387hV2dh5U/XMwxzX6eJRC2obqitY+npafbBlgRHVk6jc9nlJx0OqUMD5Oo/41guB3h9q00IE0KonatbBM6ifL4Dt/sj+JY7CnLFcb4V11yKfqkbzF9h5LJInvHOLmJtE5v2ycFVAy2bz54K+6Zsbd9C0oLsA6orrxmw5JkjACcp8IggzAGfdLkh0ELm3u/H5j6epguv54BGNaU1b+boNi11gGdYaok8pAKZUTGBlmxmNbPC1JRPzCqtdtqVkeTpxbfgwU6/5hQCBRehr05BZmUO7JSU9c8h9xvxFEjAi64xYKA+qj6NARqcUlrpnCpdQim3KjuECul0zm8n0fZEagl6AChzqk+CG9eM4UGi8WRxqsld3qaWIpE6BuEOINVB/hjkEQiV9pXhQEIf5hg4JG0GqRqGEqg4IqhyBG9pdYiWgUsPe07XKwZNKSDAassFmT5oag/4mZVMUpZEPePPlkwPTlhpQmsLgcQ5W6KNaoBdHM5+nDeg+NNsc7VIq6PhqAM8Q1JLvGMTD/qe5Ibe5nJbS+VyDKy8qVUx3rQRx+XUrXggUUS9WhaAqEEe44wsWRE0wBDcCWpVV6EHTV9Bev9k1JZL2+a5D5KuDtpEcgb3EghG+UWGvKWhXrZBKQ+KUtzCXpDaCTcFOCTQIZBYnE7i2RZQU3jKyuVyyz2DzAeA34bkW79gQGgKmDe/aH6t/GkxCRjiw0pla9Y/O0odwe4BH99S1bontLQeGQgFwPPbqe9zDnxEoGdQS080t05WlvxyzDmmUa3SeoRSB3hGSg2f/I2x7dNzc1EDl5dN24CuBqoTxYDHfhQmyIClyGcpkT4GRv4VeWkoGQ4YRRAOmAmQkai4lCH9iEIPI19GqWKUVa+h0gk+0TdwAGJmi9pwJtIngQf6x0qcrGKT8km1st8K8fMPn7uw8CT8eQhU+9Kll2OHFip/E76wl0gI40+BOTWveFRebtkCobUsljaQwYoQ9li2PFxtUmAisgWpfz0H9lyddRkzmgZL08ym1XzLDiWeS9zCs/ce1dLIprSGZ7E5Ugd4hqSZdH2nipp5j6TcGQCjpvu2VLTMmNXDQiHGX89+sgjwkD/MkijHmKSdVYjctJb98/fjkUAntXorJXo47Mr2qBuSpaxh2hRPY4FvGurDNsrxTOXx04r6j2h/H1leW1maOYVgxN+PByDlsGxWuHnly0ki8uscleTvyKym/ULbk+FS2PPZJKyQ9prmeoWtFMOiNAiTzy+Xxucbgpm8TDl7Y75Xtj8gta5EP50PenzoF/aD0LITL3iYZ8hgZBsPzrN6bSLqAM/Q5FRt+pjBdI62nHM06CqtpqRtHZXb8nNp5L+ILcl1+WW6hnwGIEQgSHzISqFN2iJMb/5J6RQTz3E5uaE+uteJ2wHKwWFmCIwGzmx+MiAmrCtl4lIgybJNxIf8CuMT1MDPhDkVGU9y+T0wvot8hSz48XfK8dszlMAPt/saiaSufTjiHR6ZkXp6/sJzCcnidvBDUiQAkgEIgZUnlC9d7wBsiLu4Czn7lWfPIgH0OOf7k6tTuse1c8rWpbK7DmvRvMt1R5sTdYBnSJK4Y3D1NJpyh+OTGljT5dWmSWSq8z9KkTfkUJCOEoCH/fQqmQ87KYqXX30qgjTvqnKbqjlnZsFLAqZMnTgzPuZEl64C3jMlv/VybWZAVMqJkhG3Wc4qFuVLydogSxPok1aUlGUpreLSd3UqyMGVWHZ3Rro42T5Aw/HKrHBaI90G8pgK08PkpFAIzPzYkCd7edS1XJslrUHs5ZmRgibvpwYqxcCgbsWYBT2pAaPVsvk0xZawxF7NhAbQU7eXzzyFOd2U1lDUAZ5RkH5p676nspRSji1MIDPpr6nDFlpZW+RnajaNP3hlp3wUimgtXy2J3ZFdeT5QKISCkByN466vkIWIKXHZWQDy42jKGuD4p1xsU+nrap5QKzWSyPLDzeEGJ6PiPJ4z5JXkH/ShuJ5pq5NJb2wHtWV414QYmMv9kF2YcVxu/uaXtqYQOlKURkoUTp+5+vhgx1f5PpCUedI2tBSsJHWqenZ/JAp+8xQCIGdBEi3hnXUlzWE5e1G6JPkGJb2o6lZpSTYJfkiCoeb6zyoxYzT78DwyEU8HeIYkXznOAPKkvnzaZGO0Ays1vFP5kyypTdo87/bKXCrSICrxMShVikmfeo1T++WY0ihzL2e12sku4luMiRJQNQ09FPzKfLk+kJqRSvGJIoek+vrUxbo4p/Dbq76Ql4SddoO6OEaUZ4gFhxCsSP6xNcBN//heNHEdycsXWo9cWlkaJ6/Nka3hxocG9KQXosuJKtGyAuzEE2dtppkEyAlAj9dh2ecvYZVspcF7kt869lma1YbyhTHAX4IwyVGs3Ks7qmKTU2fhGYo6wDNCmpGFx5IcgtuV1cytPjKVJpevddoEby9dA1Azbdhetlg1xd+usbInO/A6KkR8IdJ7/BJAIi1VbPzPNW4YHG+0mOdb+6AToDPXrp6sFLZgur8N0teVT85wFCrGXLx0S5bpJRwIe41UvwRCxVXQT3U4qgSMkS0kV1rl2s0HHaFtIm8XkrCDghhpHYrBUY4kL2XlkV8WbWGmD3ZSv6r/+zsfx0vpc7+pspqlCUF0WL4/4obltbnuaHOjDvAMSdIkPqjj71DlUj1wqM07YPgoeHsJahJlozMRKbDj3QuAEsYxyAuUoIQQt6+5Lwig0jLxqBkYUJBOKRhzX4YZWKhSu7OvViIkVG1hrAUmkwMYZIVX+cLvVRYqloRTEZu08iuYRZNZs5lCsX2RlL1lySptyYZnhUo3PbNpDwMBXGF9FEJil07uiF0lFGMV1FLuJ2TfVQ5BZQCPIoQq86cBiVOyvsoOSaaXNqy0pScuIQYEdYo597JlAIWtdwgZmjnJe5le1jF/Z94v3zU7LlX2CD8+XpklQVWqNt5b6MI5VYPwetON9R7xiCw8j1DqAM8IacYWngarR66sOsqy8047bp8vFR6HpdephSF1VR00LjUchmSWgodx4Tla/pELDgAQjNJ0pRbuMkt22JSgRefJtYkBIDLCxNWdj8UezwpgXT8rhHbnToFGFqddy71/yEnk0urCdDwLBVkKmKHADARfKWOB0lM2DpDIL/DCXpPYS4hd2zPcBpICqIWK0KlA1T/re6iRMNyn23dIDnM7+NAMOGSMP7mUW0YeW20kIHAgOE6fpxA0mZeEGwaxBEgSFMIZacVJOQjXOTy3LcOIHQIa+XFgcuYOHfXabMTbLIyUqhEtS5+v9Ztl6gDPkCSx/owxv36/BgE9M/3GMF/wA21Al3g3kuCDMgpVsmoxDicly43DQfo6UBSBjAAIheqpDpS0oTrw2IZH/nu0ucyBh7PMx/7sDYszlrSBp68O/W/9OhtFjp9LQ8F9+K/K0Qxg/KkcI6XsfwTIPX3gpsn88v0e0nZf7LDl7b3+GEr7A4XlQsTLibYY9tmUAlMN07tSPce1ugwTUlsgxwGeaQY97Vu2o/lOHeAZlgTySDsJNmU3loTBip0JQHdLvckObmmZ4oA28pnBMmwDOUQ2AbVBQVwdwGmVPgCawpAQIyVOD7athMxkiFVo66y16bz7WdxduRVt4uJj244iY6uKAXBquUHY6qFKTQEV2DThPjuOp7BK1ICiuGzJ08isNjFUE3spC1CaJABMl9wWZqesRPEvw/+iIxIWRQuVUnabfJle6uQUlLtP7THkyyDzhNep+zmkUTktP0KpAzxD0nAWnplrgkEtPKFSH/yIAaq5c2DKOD6mHF/NRR3Qyg52CdCV4pJWU3Gck8ehGIIPJEP+4R47KZCRkiHkFV6Hw3UYl3rWqUmAlGqVgb7dIC+flCdUYTYt+WlnTsOhobi/pCCICleTegwzmSmtFmk+8s54OjXYF1JFexLIBefyiThw4PssyX7lgxSn+nOAo0kKAZ6YxaaQg1k00vBAyBC0Sf54jRn0JpZPMZZGWnaiWM/U49rDyjdDkWaVRuXDM9/qtYmoAzxzRsO5OA/SX6NN/CwT9eXTRo66NBHoI/cb5q/9Xkykr5OBEIxZiTTyZPQ06AhW3FAQGsrUAHqawnOUa5+2fEYyNteA4Lz6zKep6zOD8svxCidYUvx82wF5d+bK18mB0tRpFBDwXMGD9ISCCH1x1lXMx1wbroW+M/f+UnEfGsjF7k4qiJxZwGdvExYYDx0byOODqeQy84B1YFdR/2rjSrQiK7M/Thq81qSxWw7Enw3uw8u3iwES1OQ2HyTIp9Te6jXLNLLDQx+ZiKcDPEOSv3HZcF+rhtr48wyySisFFAwTRrowL4TrayY37APcjrNJ99BM3SQoS5VVqyBrhKPM+BS6pKYzpkuuBW0IB/726ZuoCQSGvFK8wzA1IeLaMbV3j1Of7WwK3jXlZQotCTNRJWEep6BknCvJ2XdkHLx6qe0qK1sz1y+Fc7VVoa48w7UJgPnQStZfLmf34Vi4GD3sXekdaNLkp/IBTXrrxtTTriOVRq6aisvSfYN9vr7sqbJSx134Of3NNePeoeIERPL6fQCRE+9ER5svdYBnDqhpuCA3wmZpJkoyBXzUFBTqp7j8D+NkFIkAw7eNTLm4SFEngJJZfdXEz/CSw6cdyNiBLU6m9ZVZUxmAD6ZM24TfZDJPuOtzFqAOQBbIaMTRBLpysskUJrygNL+238Gj+l6uU0YSpBh44k9pxdsNWkVsAH4CLae3FPRhFjGBKd5+MIZ3kmffhoZqPrTp5ECVtMLULXKXOfOLstLQp56by+tv3Be/1xb6RKCnieo+KSjBK1xdl75u79Mzx+hHLX2cWxk2Y+oAz5BUgwWGp5oRq225TVYBez/C5ereNxuRl5YzjApxzhK0PGFBOT8kDubxJXAgEAoSgz+L8th99efqEoiQfSRNYW2/jdsM+4OABNPmckn7MCBjJnLkQKzkkmu/4Sw+FIXHFh4V62CRuosgA4twcaSJ5c6OZ8rPxip4SJARWD0oZ0VJWz+cbScEFan0OZJQTHKKQYgPe2s4CmsJB/VsKsPUKL9UncW/wdVQQECCL0C2ZvoomVkb9eup22l5KOoAzyamwZyF872yjVJEADaSaQy/GbwAEnSkQJQFGCFQyaWVYRQO7/Uy2OFfJJQ7J3sZbD7YvWGMEuxzILfXSPWDfQhwmmgm6XPgbBDgIXnZMNFXQnVLkE2R3wU6Ko+a+1WqL6QAiwFF0uXXSZOfYPJ5y01C/dC+AR0W2BgbWdzipDtNCGo8jhrV+LYf9vqQr/a1UqWw9UNKr4IM0+TJlchGmdsSfWjGYL1BY70FhgO+aYuIQYTu3oHBwffiierJrnbmKvZzYrvRpd+OIXiUMuj2CB7JnC187DYeHIo6wDMk+b40dYPVTN6Q1HJZHcM1Lx2lFUmdVGrmI2PlYUSDrMkT8g6tMJEvD8egL++s7A9fkiKLUJoBQMqnqOLArVG3kQFIZppGYpzUsCLj6gBIXb6mdHXlhr9hWg8U5ByYBio/zaOufPNnLCopnjGgineAlpYfoxALQE/+NNXDLyH290hZeJws/uSQgywlCkwH00/++8EeB4JBfQ6apXqLgV3p9iaR07/2l6MbzoW1Qjmg4fjautoMNX3E60OilaIsuo7sexv5trMY3PgwKZA5+yb4sNf57PhgMpavDQ02ldfR5kUd4BmapIrMq72ZfhDY8ShgwBSHDV+WGpxDQJIcdsiveapsozw8XkGmkEfIz5bNlARGFIRIWaWPj1X+HD8xOZzbP3LOvL4i1gMuJ/KTk9n4gXBQ53qgoq+rBFDQPJLwIwgwK9OkMrF6NyjTyR1vxh+DT/asaQCERS3V6xzY9Z8zezmMk3tbSvU5KW8KsHluy0y6TFd+JXqqBT3sQIQPgch0JU8W/5nF0NhT0kKm9C8SnJuuRWsw4H8RSencex5ad6S3UWpVWIqsBAxRR87++vxcXAzrQgrzmD6dAmV11zHPEORQIraezyaibqfloagDPENSDe4YbSHyt6HcOhCS4hNGhk7MqRVhdUAlvHY6kZL5mpajA/B8fyiRkCAH3BwYUyjATXU5RWTAUZ8R+araW0LSFybV3nKRV2qIrJcT3nlRngyJa2T4c+I+LUvzNFX2mQ6YpqmMOrWSqkNdvWL+ZqrKV76x9TKGLbK/FCjsIaKwKRMwS4OO1OSKyhG6IxdgrnRhUvn6qx5DewnsNZLpJNmc5ELqyJXjwEgSinAzrzrusf0qn95cy80LhSTiro089QAplmeOgUKFbkprCOoAzyagkQEioV2bFE5dualwT1mZAbfGB8hTBDnAQu6HwzxeWXlK5smER4BQ3BfsVkoVIj7cVYUgLCQ8WBvauIROMGo2NUS3pRy4AeD5LpH3UITypny5JMd5SSwD3a95Bm4SJubcBEJyYKUun790OyWwATaOt7nmIIXfjxykUX2gAIODPKmpGQhrkQRSBczKq3Cxt29H8CFzCG58rjmbks/VDRL+O2wVuAZiPjAIn0YTlIzj3Xlzon04SCePrmC551Dci+reMbnHDoL2t3CPw7ahoKMbK1EMdHzLThMU34TUOS0PReH5iR0NSNTib6TETinXlZO6D9M1hRHHX4iSdw6EhPeKlx6WAsXcpv3Cv6ImX6r+URp9ocpXN/6XvstdBHxSvFF339AB6mSO+AW8BulbdTIPwjPXzrl8qalPeV8EOev6W12Z6XxeDxR9wMGdNPDxcxaQcMjJ7DtB+zzVb+FxJM2JRElxiQiUkZRMSuFbpsKwiKcMJdke5OX2Wy5XHlmrr/XjIxL2pJa/5JcjZfTTyT8NbsRXRcrCNgj5HwjqOmzZwd62juYrdRaeIal2KfesuPKnX+zsUQ6ptAOEh8rKlJVV9BTcw45T6rqQ4fGwkuLJBuXZsPQwGX47e4M/aT7sOzybb0MbRqwcmI1FiOCfUl4A1K8ZXod85GYYd8N5HDdIMWGeFM9UHkltrDSpsDDOPc8UH3+nmVAOGRbzVndmXVVKmkL/60MgH44Ya5azIoVK0FlUmvxa/NJDnxUg57VDKNBHZfuztDSwzQnIp+raJHa0NkcruBVzocyDTPvETzS9d01oy6r79cOaWjXcqNDl9XtXymrjrtN5wnTxVo7yd44A0MhWaT0yTTwd4BkBzQ6wyZbmZpsyxTYqsQQoyaU1Zml5EnoMgNJ5G4+KaIq3v/7Qkzoqw6itSg/ARUFeHAC7KiVWegKQgdyZQgZnkT/E1Rm560BFLn8uX5i/TZxppRgQxPl8OXynWqliEbSbx5H8ehls6rWHaT9O17FNOxDc1JHfP6WjrXlOHNRGgoAQxPglFx4fw8kc/+BazSxNd3K4iSvDq0SBPlcgclL6rsG5vkDegZd+TVzLSpCDTBrfP6sOJKSUuvv1p9q0+7dlnNnHJ5zOCnjJdq//1VKybOOw35qnIFsnDG0O94FaHoDN1bJ0rhjcTWnNmDrAMwKyw4Z4P2f1fSBADgZJRZTK0jI8UglC24c4K+XMnOMdfj81yZ0Kyy1Ht4qNEjKavPpGArdCJzZpShJOzRQsVxcKu494h2SDsZjhDeeAb3mQAEjyIDirErO/Y7OxOgF+eApchYDOfEeb8mTaEECk5Cx03U2gfI6y/LAukmR7mPxqdRR7cKIK0rmyCk/mlEVAqikDWEi0VineF9Kux2TvYkAUT3j5RIGEWfAi6uS3SXwuFsM4RXOQMvZ2Cd+nAJI5gMK+V5APXITPCxwUC8ENbLk+mAmBUJzXpQvvGQBI7fUTx0ngBI+HD0/qANwA19bBLU6TaoVH6CKnzZ46wDNC2tSgv3GPsqb8A6XNFNZSBk8Jz0BmAqFI5AuDSp0utBoAQI9UnFSq44W/t8vCgtRCCAIWkgrvQQEh46CLHnlb0slylCJX5A2RCeuGr8BcHglQJFWSKewia78wuCF6GhI06CeolZ9THxXYplKlmMHcsKzYgTEpEwOo2A+pWG7Z5x8vID9MK4aXznIQ7eRNTzG7bQKEfFXpVJ8LV+WWGiT2me2zM27EfQDjKNWzBlBqYCTLLBJh7hkbp+a05pPAQ+GDtGUhT6mXJOwVoXIOS4/vfRjVltL8chIORJnNPOPQHMzm4Eq+aAPUtiZ6XmGbOTpaYs2aNfj85z+PW265BQsWLMDBBx+M97znPdh9992zeS6++GIcc8wxXtjExAQeeuih2RY3Sx3gGZK8JdubFPFQ6ymhocOJai053j3F8REoMUdCNJQd5Svidz0lR69Qy8vDNESKh9FgBKV0e+T4loXeY6dSfCpWeQo93lowI/gzXD+QViBPHelwo/cYABUuvUlbibxgoTgLgKv03kCQYyC5798ySCPlZgCFrp+nFji+NvULQZvxc/LqLD/KAx4chMvyPZClw8JDTc22A5XkKfJWJNqGyB4JwMzgqtLnijGoKMAV++0DVg+58n1lFGCpIG0ZgF4hRISKKw+0hgCWoI6MUP9V1rIh0zlAKkqxzm75PVdYSNlIsiFFuRKW+nI3XOsiw2Nd/DJNeSG0T1lyUiCH4VfP+AzFEnn50hiqFeXgI2R4yyafFZqjVVrf+ta3sGrVKhxwwAGYnp7Gm9/8Zjz3uc/FT3/6U2yxxRbZfIsXL8bPf/5ze79p3T9i6gDPCGkkXzxty6HRvnO1YCcTnwM1WTAk+DWVH92Tsw5JpRymMyu4pJVH4lGz5NyMWQSgKBjUVylsGCmFXPTh+wwRvCXgoXymHMk/vE5RfZu5Z140fImGoCtcDi95hrJmZavpaCm5U3zC8HhH7jh96jsibNNwCgxw7SDDzeSWcQcmLQSJXXoNP6NCXV+gDOyQE0Lu3pvSIQknfLfiCESJUAmLIhBgJXYpHFd5r7i6BmT7/rg2r3vyHPxKeGTEIOsMHU1FZUm3VrCPTjQ5mQAWdnPPwCnZwR7z4GVmce2dlSW/Etx17F+kw+1pw6jDobNLc+S0fMUVV3j3F198MbbbbjvceOONeNrTnpbNR0RYunTpjCScDeqWpQ9JJP6a4kfxVxCSG+Ol/rJx1O6vKNKWHcMDIi3EPXJxhp/+KzL55b1NO6D8BdyfbbvgN9Wu4TWFZYt2sG1Cfhwa0qq2yKdPBYYgjxLprFFARwa3fmbDF45/rg/nvnbD9NLSSUAEDMM+KHlYkYI8qWnMiIIGMWWTKECW4/UJAegNKMq9T6m/guQSbbK/MPf2P4hSzC/sr9dXCKIEiPwyHUOmSv0BFG394DgY4MJR+e7al9GXRLS3qXOQ38W5CK/mqfbyHlpcI8vBE4O9+vhALXWN7HVqk0FjJXTld7R27VoAwNZbb12b7v7778fOO++MHXfcES984Qtx8803bwrxstRZeEZIs23pDL+Ks8onIUROrmy4tMQQIgWV45G9TgyITbxcXqckCf7USJi+hEsbfoQVgoexlEgQVIl447fiySvawLiutLXQEvLAIZXO/ooyww+7KG1d+U7PgeGDoag+5gOb7CyPx9+KQe6egrwmf4oMT8HC03HSOVtWLsku0REU2PH7mwHvVcVOViG3fdYUt2YBAotpLSOUPxWUP5Ij3Gc5bdMB5NMMwYksJXzuHJRj3b+TTn5sp/pS00yOT6JW0UaGfr92zy7NN8U/Ks86MNcR2/IA39oj2xi2Fd21tN5Id3L/GflWndwKrjmhUe20zMDGjRuxbt06L3hiYgITExP1IlQVTj75ZDz5yU/G3nvvnU23++674xOf+AQe//jHY+3atXj/+9+Pgw8+GDfffDN22GGH4eswA+osPEOSVIoFs3c/yr/C+1qMU3glc5wiJ3OKCgq/49JfgakwWUZYZtKy0qbuUVu4P2nVKYP7iBcJfkHaogjitdAhv9AhOaRcG3k8KMGb4ClhANZK4bUr5YGETJxLMkicZUdxmuj51zFtWXZdulwfNlY8L42xGIjEnszabOTCyCaSm1oWgmfY18P8heUS229Sb62fAv6VmXP1/gjE/paHCPJF/DJ83OFu6ZyhZcc4XnvPWPNjy9etXPLP1Kr/9ewpFiwFzztRB2V1IbGbsszfZO2Bd93GquNStO3Bs0TGh2fYPwBf/vKXsWTJEu9vzZo1jSKsWrUKP/nJT/CZz3ymNt1BBx2Eo446Cvvssw+e/vSn4/Of/zy23XZbfPSjHx1JU8yE5j3gue222/Dyl78c22yzDRYsWIDHPe5xuOGGG2rzXHPNNXjiE5+IiYkJPPaxj8XFF18cpfnwhz+MXXbZBZOTkzjwwAPx/e9/f2hZW+PutnNK+i/l6BUp1OAvHtjiYTf8rwAFm/IlFG5YvpbP/sHtJ2v5CgCVlTlT/YJ8wNPIA74ilNf2XqYLlGER8CqCNNFjDOSS8oVtJgNyyjScuguyRfxsviItY6r8FDhJ5iPXpwvk6xTGyTSy/VuVKcKbQBRFF+kEFKRRMqn+WhTkPXdv2wPPyicBjQQ4Urn7qQq90WHuLYT4zaWKpsQ8tJuEJvo+9ynhl2cAQxoOmH/ZZU03sVcXa0HSplg2JlnrL+VAiN2fObOre5r8vXesBGRAkAFilAVHRooYXpEHvGz9E+XNBSkH/BH8MXDYYYdh7dq13t+pp55aW/5JJ52Er3zlK/jmN785sJVmbGwM++67L371q18N0wRD0bwGPPfccw+e/OQnY2xsDF/72tfw05/+FGeffTa22mqrbJ7f/OY3OPTQQ/HMZz4TP/rRj3DyySfjuOOOw5VXXmnTXHrppVi9ejXOOOMM/PCHP8QTnvAErFy5EnfeeefAMiatBE1/GMwSlC7Y/6PgOrRypLKG9UBCgdfJREB0/ESKr1HeFMhnrnNHRViwkYmPgFGQTlqBIuuPyafTlgAKYvccRRmpdousTpm2Da/bgg0TkeJnysv1kZSMIZBDkD/FM6xbqn4IeIb1CQcYeYJ9W0qlpZpIJ3sMGmzdKbj27jV4D/oBgUQ6WUrq/UgrRpnD8ZF3uZYRUIrJS+nXzX9CsWxBqdpkSAl5UjaouDbpX3N8RSq/3zIGYJAHPuphRaq36bI8EdtZeOy1BmeyHYz8fos+PGhsbAyLFy/2/nLTWcyMk046CV/4whfwjW98AytWrBi4vH6/jx//+MdYtmzZsKLPmOa1D8973vMe7LjjjvjkJz9pw5oa+sILL8SKFStw9tlnAwD23HNPXHvttTj33HOxcuVKAMA555yDV77ylXaPgAsvvBCXX345PvGJT+CUU06ZpdqElJpf96np1apVBGF4DbNIqbZgHA9h4TABD0SlZAsVbzTIJZRSLr21IgjlRRC+IgF4sJvkCedh6WRbEiNUkqZsswKs6VtP1o9FYF6lNU+VIZFGWmLq8pm0M/lIbZPNpMmlrevPMg/pf7guPpPfbtCY7K8Ess+V474Q3EPvtQOw3SQRgF555RdQgLSvUxjn9wLnvePuJPlvkpQqnlRJn4vub0gYk/TK0bYLGxA+wVg6gpzeiZ+2qRc0O+dfk6qP8o3y5WLBJyS/F6SPfnDjhJmRauXDw24qTFq3EOSaawvPyJalD1iPVatW4ZJLLsGXvvQlbLnllrj99tsBAEuWLMGCBQsAAEcddRQe85jH2Gmxs846C3/+53+Oxz72sbj33nvxvve9D7/97W9x3HHHjUD+mdG8tvD8+7//O/bff38cccQR2G677bDvvvviYx/7WG2e66+/HocccogXtnLlSlx//fUAgKmpKdx4441emqIocMghh9g0M6XBu2HG0mOUe91fglKAwibnNJtClCVBRZi/+Y99K5O2dg266kVabMoB8oXWHchwiv19CtJWHy8/+3wC+W3dzG/Q5jZNzTMJKcov26EmPpU31UW8NKk2Egk4CM91NU9OnZbDMMEzV35YzyZZU1OL/kSTiGPBX/7pdGZ1lQkJp2FtXcikdVO2abtR7jpuO19i2F8EIT5Hlw9QVp5kG4tS0ranJDd1K8YIw5nEb/Tco/q49rTX9l3hYJxRBZJ90NT8siSsMpQJB8x7alAPw3OK09cK5rjO4rwAUm9eeD0HNCofngGV1QUXXIC1a9fiGc94BpYtW2b/Lr30Upvm1ltvxe9//3t7f8899+CVr3wl9txzTzz/+c/HunXrcN111+HP/uzPRtUaA9O8tvD8+te/xgUXXIDVq1fjzW9+M37wgx/gta99LcbHx3H00Ucn89x+++3YfvvtvbDtt98e69atw/r163HPPfeg3+8n09xyyy1ZWTZs2IANGzbYe+Pd7g0EzUabBHHwcsWUiw3DKRFRx1laTFLpU9dNYTIupVTlWBLy0mMuAKfcbDqOy9P6yh8vM+ly8qcUqhmUrezmmp2M5jeytiSuTfo6S0woZyrOlCdlkEdfWNBhyuEYcLivXl+2VD04uDYGgJBnWN/wXsoVFpRU2g3vUEreOlnCujr97iBBeCxMAfewQssSId6Xh7QABBbMYotGytoRrtOKayBJWFnMwaCId/Px6ltD3nES0QZT4YqtkPyTpnzYYfLoeplGJhY+MkF+YW5Kvyd+r8zulxM+MfE+ePvtJFZg2afFqdqEtZwDGpmFZzDy2yNN11xzjXd/7rnn4txzz50liWZG8xrwVFWF/fffH+9617sAAPvuuy9+8pOf4MILL8wCntmiNWvW4Mwzz6xNMyO8A8As9xzm28HLG2CoiC/5YTnA0lheCEpMC1Ds95H6zYYZEBOWVaPQKJHOAhk4ZW8VnABKhkrRbrFTqiis6d3PKfakdocH0mBkrWHdorhBRIt4NwGOVuUIcGXvZ8IHyeZqKJtsWvlr5AifqdqMUkyQkDuE1iuXCH2WGwOaOJGX5QRKLK0/RpAXLhVu+hFIgKTvrRIPDxOllv0iljbeEjGup5S6jry9lAlgDuFZ+K+racw9V3YzOHHl++nqgFPzdUebG81rwLNs2bLI/LXnnnvi3/7t37J5li5dijvuuMMLu+OOO7B48WIsWLAAZVmiLMtkmrodIU899VSsXr3a3q9btw477rijMM+631FSlmMAABrTyzTB16wNDzLLgTlUIrmyhm2CEGRQEJ4qWzrCxunYxRH79eAgvYizU2GCJxO7vWFCIQC38Z8haQ3RbZ6zqJiAUvC1+EibE+wiE8uXLLOQH0MM7qy/mYmEOmDLW+atUIBIxJEnHsBsz88iABWx3Z5YggZWzALeWhbRbgyAK5GPoeUUdWDF23z5yyXD3nEVusWsxV6AyeCbP8Ke0vpkZfZQmrpw/j4SrLin6r8l8ScQBeljMuGpF8lBGWEXGRCCpMvLq3QpT64+8jqsm8snrQTJ8khYm6KSfHLx4orj59BuR58gLBE4fyAOpwXsqBXNax+eJz/5yd45HADwi1/8AjvvvHM2z0EHHYSrr77aC7vqqqtw0EEHAQDGx8ex3377eWmqqsLVV19t06RoYmIi8mgPaabdkGr+BuXTFBb6NJiC8mCnfbkGIEh/mdwKLEJux2OO/G6yS8eR99Fxf4RSrp6TeYtA1iLgC9Eu+l4yiNowbDdRZq5BbfbMcwj5yLR1PBGmIz8OmTRkhaUEA/VHRoicM5NkHnQ24wfjZSCCcvrSf7IsL627J5u2cNfkl+vay5Qrd1YO4mWpnLLw1fnVOGm99k/8weMV1Sq4D/PK9ULaV4YoyOdzzknhl4gov6zJTGzP6fYgxPAUXpo21AxS5JLzIA35HMiTw1j4wlLSy+Dngrgazd88QnCblOY14Hn961+P7373u3jXu96FX/3qV7jkkktw0UUXYdWqVTbNqaeeiqOOOsren3DCCfj1r3+NN73pTbjlllvwkY98BJ/97Gfx+te/3qZZvXo1Pvaxj+FTn/oUfvazn+HEE0/EAw88EJ3s2obkMDKwgy78F51DhoEi8p0vm/9SG/bZMoNNEsOia0TxeIdLnwH2fQPNX6IOCK5B6cEemfyhBaaxDVJypdpIPBQnO9vyQgoH7mTdG9oaibi6ctoStciYK69OppBvqg0GkrEufAYVT7af7gSuzwUAzAAlYenz37nUU/PLLMi5P5u08r8CaQdpw9O/9/+EVLb9/f12nCR+6jpOsl6GjCWJvft25Ph49hwNNsyhq857hnTa9g+Zwjv26wXIFnCCuI8XsiKJnYBgasxeYheeKr2jzYvm9ZTWAQccgC984Qs49dRTcdZZZ2HFihU477zz8LKXvcym+f3vf49bb73V3q9YsQKXX345Xv/61+MDH/gAdthhB3z84x+3S9IB4CUveQn+8Ic/4PTTT8ftt9+OffbZB1dccUXkyDwwNdlhQ6JYUQzKQuatvZdlEfR2+W6Kp4kH1YQZ/jBKgTkYfNryYOcsSnGeiI8BEjItx3LJeru0qrVzsvhpFckppegZBco/pyJCtWLqFU8A1FMuPuSTmrIJyzfpTJqwfJktbAsvf6IOUh75DDlzHcqVktvjH8gREolCOJCgro3Tz0Gq6Dh37PPi5/K9YkiE9qM6pGSLHJLts9KgwbZFasF7XA943GDDnK+Okzk8wlRySj9TUV+79bKIJQjn5VCGQci9jOHho/7xV6Zzu/YncEvn5OEmDUdKozpaYq7rMUc0rwEPALzgBS/AC17wgmx8ahflZzzjGbjppptq+Z500kk46aSThhXPo0HASs7XJQUKsjzahiWAlQrXSj8hTJ1CT/H3tvcP+Lati5lGsEAwA2TMr3FGDmWRYSWJV1vwkKubpAzeOU46U/RFnFHCES+k655TaiH4iSK5HkxJnmH5M/tGT4pQe12Xp01ZHtgJ8qbukUifAmt1AJGCRlJAiiz4c2EOIiQZCWlCWGPUMcUZQNozKAQ0IUkYYmUXKdUHjFPY9c8ldEqWjaBOlovPvGpDIeyDfZ+j/FbYQU5aD2Nd2zpQ4yTmKFf44ro87mnVuWs3yzerNKrT0h+ZeGf+A575TlLB5kBMKz7BfeKcvjhDqOwbkqVAD/QXWAh6Uso4+UtBGLlhI+IRtJOML/SgZ/jJ07stX5GB4KboxFjlTsmGGriMkykHPAr47ozkXUinx5jqAIGh9Fd+M4XPq85yEvJMfW2b+9S0vQFvBbv0qXTmYFWbT1Q0ByhkHtlXJKiQdRqEPFXUwMCBA7YCG/mj9pIds+KIt+FVJWpNcGqxILIOtBK++ErdkLJq9iPw4V8ZGBWrdwepCGRBj1TbqVYJwU7KpuPaLd/IMfAN13LlAJxORwj8b+rcjP0apzYRlNsupF2xU0CGoJbLpy058+poCeOD09GMqAM8m5jaYiIS72cbBZuKy1lYIquIBj1hWW2UdRYI6ZwkmObTsuc4CriVVykgY+KNws6BM3ksRaTEC7gzd+AsOlZJe20vv8bbWU4IcsdeeMArNQzLtLIOYXlhWC5PTqYcSV0fymauQ0CXCgt5mmmXZHzwW9eupqwcwErxlYCVEpntM+a4HSVIVgIZOOCvz3IKXfd1hgYwYd/RqjWx87C17ZADMg7akJfS6brUGd7eftACBoStE9pIQrAjn4W/0D38TEjt08Pia0XyNM0YP4oYvKTtU3kQ4k+PDQajbX31S+BWeymeFMg316Cno5lTB3iGpHDQH4ZPKtC+WiFK4Sipu6Y4rOne8+UJAZEAGyHosGEUpCEDpNygllbI7B9YKhVvUK5Xtggzac2N5OGVJUCMARgV+XXhSucr7GprL7+9TwAEeS/LZl2vELjItrDhnHCMNrIl0AXJeCkDB+XL/J7VAnZPomhIF+F2w1pKLPUN+EoQVyFoowTAMAkieU00+V/usgzTZ8xSdK+eQm7zDAzKIQIq0zOtTMbLh1AQ7J47sDz1nXd+nOnjPrgwk0Ku3ztwI6U3C7ALuJmKnHJlkuXI3WscuGIzaFC9rSSmGIZASGwk85JHudRREa6PpHqVhDjuOuAe3UkeLK4BBGAHGLTmYU1Uf/P5idIG5jxSGtXGg49QzNYBnnlOThE2TzsBabBTC3SCazt2hGAmBEEib1hmCHy8NByUWSOv3Pk4BFSRw7LQlio5oyz8ehlF6O2tAxcGKAAk/ZE8y4xQzOFwbimoX1jHuu9ECVQiQBDmkeAiA75C/SVBlQdA/GQwW+sY3ZkQJXnPBFClnls/SFDAgRaTzgOBibKMLCz4GKsMi/hQIAkEZD4HP8h7hkRmQ8Ggjwm1XMBfwdPnsAc48GIUrgRwvqwuJmXJIPjwyYdNPkyIJ810Hj1epPWaCyXBx0EwH0xJ8IagZh4sCPbBqSuboxAK7vJ76Lg6yvuUlagdhRKZZ6zKyAG3OaIKiLb57qg1dYBnE1AKmMwkjQQ9SeWQAw91IIgS4QmlLfN4QCPgEYIdd88uQGjeIkgrQZQ3vLIrM3duFqCVKQVnYOlf80Uvl54bJVSI+0IXLId2WaeCY/8Ur84kBmNpYUD6uRWJCDn8e+2gb8IpsDCfc14NQIkI8/RvovyczL6XhwAOIm1Yp5y6oCAwbPO2qqUOiBGgnZC1aiP3XIzcyomdbJg6DDSUxknkQabwIYNQMMS0lomOe5TcYk9NSMXOwhZCBWDYXov3zD0L6c/jx0k3/NiTLYQiZKWQOzDLGgBmSsnlDyfG0td+TQzvEP6lahDvu5Pgybkyg7DEFFYOtM4p2IECYNxZeGZMHeAZkjwfkqSGzORr4psIc18i8c4Z5iZXfPZayExBAqmMQiAi07f/VahFhoegxF5ruQrAs2YASIKkUMHb09NlfdjPb/Iw3CnbZlcONeXB1jKRPDspQWGdw4ThMB9G5ECRkcnkiabb4AOPsKwc4PCsMSI+pVgHdjoOsIA8ldzypuax12vTGiBV5/1hFLwpr9CpraUwJ78sRFPhKVhXbugGbCwjikdGcUctbpQ/RJpYHbtwshwdzAhdtdPcojOnYigqwswEJfsxLGvspPCWz8N/Tnnok3GWFk3H4ZeEB5CsMCo0enjshBZhcmWbLgQhyScbytTR5kMd4BmS7CAMPXy1WKo103fF5WNP+0VKFohWNKFFXEp0M/yYgchbfj7gLwMga6Vi55gs5QgAFQHeuVfer0hv/iqG2s+nCOoGp3NSR1FYvuSsExJYIShDEgc86gb3MDw1VVindmwbZRR/SMm+AQdAYH51YBXkkfKHjtcmTRmVH0OOXL3CNGGZQNxuOR5KPm2RCJmIDH4fUhsNklaEaoWV6itq9RorZnbekLS+Y20pMlYCB1VUG7EFRjlQ40CCq5my8hRgrqxSlxAohsv1IIW4Cg4FjReAt/t1MMateAtTOsglJU9dx8ArAXTsn18t1x4+5GN2ckin7ya4FfpMsX2JQ2DqhJjpGD40dVNaQ1EHeEZATlnHS7Fr0w+Rzpq4EyuxBr229/r9joGCLkMojOQ9/PxhOmOtCb+sQ+Bi8nr5NJWUSW/uvZUufvml/nIrvDbTPho6bIyAUmuvwsvr+E0jHnMYSvGHPiVWeSIavpUs7If1taJ18glwJNL2RVwRpJUOsDK/U6qaPymefREnn72cNiNdF6MyjOVC7pdr6leAhQOu41kF6ey0C9xy+FyfN6DK+hcl0rOtH1lQaJfHO1yi5VXTTqafFKSmPMO+T14tRTsR6efklLdnJTBqmVM1ChWpn6cAqeXaujamxVKQJwd/HHwgmI1AzT5CrvQQFvgrwmJIxrYfyNKbIUUuvs61WYMreSCcDY9bwBllJPiKw9qQhGa5sDk7zio1iMyUzyOQOsAzJIVKehg+g6YvAlNNEtBQzDtKR5lwr6xmQNMqnICyMMOrCw+BSxQOoCzcIJwDSiUBZeGUs2wDIqBHrPc80QCnYIwRYyMrGLBwrI8+A2DCgl6FqYowRoxeweizAVzmNE9YhGPlNgdrkhwU3QCsBnGXxqhUk6LSrKXyZctPpTS+SArzsv4tbDoAdhrOKCijMtXSaMXfTOMZfvajFkYGKb26sGWjAnNw+IBo9Eozc4d7KpuHiWO4aUQOAJJ1bga56UT91c3wwVzl5e9pMOaDrI0V0K/UVgQbKwWKN/aBBSWhb9pJm8z6gndJagqsX4nOpDV0qTvVdGW2XjBCm2frrAJO5hwU0Hk0pFDPqNDTqpV8JJqE2icJSkL4o6hAoa08vveNr/VS977MVloSU4eecD4YiYFJzFPCGw7aQb0ewd5FLEGWqI0uIqwhErUOQ2VrmccUhWWk3+RUjcaHZybr2B4O1AGeEZHx5m8xowWg/oVpYkHa7O6lF2+hB1Zy4cFFFuwIsCDjZvxr99txQ1wKuMTAx6yWcZX10uhr5bvDFlx4PEiv3GIXZg47LcTzK6GUYEGKV1k4OaWMAKJhwyg6hZnYWlNSy6rtgxOmeO95mCARFn4Re2WbduRYdRmF6JSWiZPuxxm+tsB82jrZkqrUsjEKL//RaXbFdqnz5Xus4Z6X8enyniO51WPqXjsqa2ZFATubJa1EpiCGAkXOudlJZGXRyJdkA3kSu3z26XjvrN/eBkL5TuPhEvVAnUW8miba0r9JIiEzfCtU3XUIhcJrBZY5WbixDIqUSdFSoSnAF6WjTH3Fe/XIhAubP3WAZwRkl4DWvAVNQKjtF4NdX0E+zzB/DsDUxYVAJxff6pcS4UTe9EthhmlRVgpYEfQp1yStQlwLlJRBQK5H0VNO8J1niRgFMUqt1Iw/i1nhYld8WUDlD5JKNsFPywb4g7vceZgBUCHj3Vdr+JVOsEYDO/3jLAGyoc1nKTmFLcszfNhvMxXmQIdiqROxq7cBkG6JspkGMrIh65NlwR4JcBHKJn9tfQOwQ7DbGoSANouC4L8r5vnb5ynqQFAWPGOBYlMmSPnqkA1wAibfQYGIIOwTRNo3RwrKcT6Pl08pwJcHDT4jyd30u/Sy9PDeTDtyyN17Zsx+OTLlINcG6MQO7aIGuq/7j8D3tfEn7Pwwc9cqLKjXnBJjND4886Iym546wDMkEQGFWNPczotnBuVIBAF4HTYJWmoAS8gqSpcCK7nfEKAkAAtgloLHIIVsZfyVZzJO+vsYwCT3nrFx5Jac5442sEpND22lyKvkNMpcDfUFkYsDKwuO+Jr1FKkeI0NLg3UO1sq0JKcEpbL39/HVcKZwd2ZfFYbFKFZ3+keRaMfwQBDW19InyuQjsHb4tnraByYWhLAXRkEZfn2AvicXfKb2UgBT2X4Bz6hhTRuIPCax9zFAsE7s5n2lyrfamayFqKuRB0KZe2BHU0lqXx4JH4yADNJ+ZaEidb/xlE1QwYBjxi6RIL8PhCU7qB2DFAOmWaT0dgeyIMCDnbAvAKVqEZbvAJXLa/YPCkC4V6zgIhiHvEUrRGGp1uPEjQ/6nDSzNc43UXe0xHDUAZ45oEFelrZTZIqvuA4Gumy6oKy64qxyEAAEbX4DgBPoPBgfCKnujSK0IAaBEoMfJh2hC7jpLzltVpICNATzcU4oyawWUyOmAVQVVSgAHc8OGIjRk6S5SpPvo6oVmhjxvTYOlDMB0YKgIKmtS+i4S4Vrs5yCSQ38nsUG5DkWS+uOa3OO/ItMnKSwD1hZNMM4n//8Tf1ZKDKT3siYVaKBMLIfmkem+pRSroVQIERknYTMfksmvZ3WsoU4rWhdi0MwZkGHCjCgN7lOSnQeSjxHFU4Wx/jLwNWVly542rGSd0dRxDDM/brDKmIK+4cD5uxVSQJSycdCnWDON9VXXbiTztqfTF9ljnI2yW1CCPH+PoNsYNjR/KcO8GwCikFETk0E+QKFl+MbKolkngDMRAqKMvzEr70OlLQsNwV2zDRRCvC4cvW+KPbOV1AqzKyokjKSDbOGNgt8jCWHUII9H45Sgxxj3SgBMJECRAQU+vBIuzM0QS2p1w0g6ymBiFTgRimZ6U6j8EN/HkkhyJBlOM7OgkWAD6JqyKSVgKMpvSF/esw3ofgO2mllVQe6wrLq5JF5C/h7CEk+noFL9lfTN0jaWhysML4+ZmWiWXFmDwRVWtWWxLpQItLOpI6XD+BcaYVtLwl2LDf7m97kTyePtphuR/I5GCnzvUH6+qTTpcCLLCwuL3iOCYCS5JWog7y3vPVzkz4+Kckj/h4ID9u9WaZNRqNalj4vKrPpqQM8oyT5ZjcHA0jv29Nm8M/xl1MbXrnSyiDLSgGdRJhnhQjjNP8wTZ3Dc3htB1ULjNgDNjGgkOEubfgn/YTsHwyQUr471len6jtAZH5NPJu6GKUnP/ZF43I8UMobtX9LbOMz6tM6npJUCnFaDh6o1H8ENyYaYGR9k4JyZd6KGIVeeWXKN7xCoCGnHKSxI1W+iSrCSifqb4FcISxjxpAingOLe8lDGGhsG1s/IPYtPIZvaRzN7T25Zf+iX4fL/WX9DPCpbCYfBJqpKPMbtpmqn8nkTR55PGydmOw5cG2tEHGR0s3ZhbXP74OD9NaDmmcwCCrcyEk+ubKyxK4uErQ4eM56apI0UBSSmo5hwZmQgtu0yqYlZnRTWkNQB3iGpFAJ14GVZJz06MykyfGMyqVEHNXkbwA7jXKkgJHgG2E5iuWUmZ1vCXvTWBJ0STCllE2ld80VikmAJjPOmrACbsWM8SkyU2A9grXwoDBKkYXMHItucI74N2wvI4XbzTkmo/DNlUwTAmajYO2GgYFyNcEpcOMsCRRFGRk8/x+vHol+VvjxtTIkgBGnrqkhPlNeEWxHkOzbhesHFohBAxlRbdJIR+7jozYpVO0TbT7JgNrAUEhJ7B1hEZF8biTtTBLphTkFKBBAUDI1ijvMm1baMcjItXt97jprj3mJ2Ub62xG2K8vxjjt7asFI2Pe8rs8OQEqoZFuvzfs0F9RZeIaiDvAMTRLy1MGdZi6DhEdIK8wjlEbIK5wCkeFRWOK3Li6VxshD8P+QvI83JUylNWFqWXm4bJy9eKIYQHm/+rqE41OQ8lSx524xWz5gtZOzQh16oHSaEilSGEI7HVcO1DD5jqM9VqdqmrQE9UXHUBYYk9Nt8KtCqpKEqcGcAq9uKnPAmC5U8XPbDRpLQcnaakKk8ugEVj79dWz31qG+ixPLqSqYKUNxijkpcOrKNzz9dFJ5Mbl9fKx1pFDr5CotbyVASqU1AZMBMEX0SMwGhsZfST4f/aHvWYQkbCACqDL2C/fM9BMxzevamsmzlFmKHJNluOzfsZo19gl371tJHNSpV9E+pCIhScpa5O/O3ERh7Uw5sX9NSsZmaJHyrCEz5Sh4hFLbXLadZ7KJYUebM3WAZxNR3UDRBJfahHvXVJcuXG0gSI8Ng8jhgRHjeExhuLgWf0hdGz+amrTe9BXFTs0SMAH+dFchw/U+K9a3R6zkSQIjUwZpBUcAiU94KWv4tevtSCzO55AHkdovUFSoULol8FpLy+khsxdepbYQtPyYoX1WpGk+UIOFv4LNylwZAMJuU0v261JB8Tc7SBuSfjzRKjDRCgSgCk6x98phiKkad2q7TS9ACIsdBsOlw5I3iYcigY0H8DVTY+0pNSDylq0z3BS0e+yOoRRAUPSOecBESCumtGZbxfolcPA7UxJ9PHoDUntKp2RpR1GezCPwwhJN6+IFcBR9OVveHBFzLFtH7akDPEOSVBgIrhvzygEXCJYWO2r7ZZWSTZZFXqjZITYtf+rXC4tAjQM78MIT1wEAMtcFZfx2AtDh+PuOyKm/OF47JcMtKycLsNxGgVY2ux+PsrmoaSn2ZJcDt6y7CbfGILCFJ1IZm+MllII3SiNQEOKGxb2tk0AFYV9xS/Qd6HAy+cdURP0sGvxdu1VBaiOiVHiurs5vwn/uzpIl84e2DCOrtMqE+ouCcCuXTmR9fkx/Ypdf7v1oDlS176TlL9ZDiT4sl2YVZDYi9NvEC/BQpN9q5rdpJSfrh1+gQKX39pFLp9vaY5x84VaGgyn5EN54v6bDknneVeDfNDh5Lcx5KwybeNvBUhAnwds8/CFknA0a1bL0+VKfTU0d4JkjSgEbDyw0jVWJrxSZLw12ZBoHf1KAJ1KcgTwh2CkS/FL+N1Ea+8fC+pIDOH64t2RdpJFWnFJrNjOYm/QluTra8o1Do1ZKykdGoVDD13ytQrdhSr5QAUvDud3nRVgIpGoyuzwbBUTwz6AK08Om9cFCmC7ML8nGCSSWsD9E7Sx/w6/1sPzwqzs14IayyrBUXl/eIJ3wQ0q9Sun9djT4EnsN2akvMoeB6npFFXIArwqi4vLdvi5mmbq07NQpIwIpq55ZjQSzCpA16KnLm+8D8MJCOZrVo3RY9p560Fkt+DUWSI6fdxtl7PUrO+ZpucX5WwrjyJqleqrENvFUmB82x8TofHiGoA7wbGJK+cl48ebCDNY1wCcCKglgkwQzUdlS0afTpUCKKiNjKRLjCSG4jmQQq6gS5UTTSoDdP8dYQtyRFQIQwVmMWDuQGnBTQgy4ZHyBjKDuJHfrhKqVWgE15WL4gPypJpvU1oO9MGNqCHf4ZThgJNtF3jkl7H9FG/VkrSWEaCrJtac8s8jFS7AmZTdpzfSaBArEoYeET2E7+PvXpoFUWFcJFFNgK25DUX8rZ6IAAAX7q+LApm1JWePIbz0LA9ifajN63XRwNS2mAQirvum1jThqwjrO6rRhbwnJApwAEhIV6tPfqywHecNnkted0q+nDobFkuqnIqwqaUBDXr39NyDNOeQUpuVoriesbQrE6GsdHG4ZMeOVYx3NS+oAz5BkFLW6SYMYuOja+1R4bporSSyGg/DtFDy8lSPkBjfowblJPpXUOBcH01gStGgfGQu8AuCiguTUkg9ylDyxP4/No/8M8EGQriB3jAAHZRT66HazRLynp6xsOqOg7UY8ge8QnBXAKHIJcFIt5uqsbDZWiWs5jV+MN6yzAzimHgUYfSZtWTPp/O9rf2h31gn1jBjsbXKXBg9AXCdPdXh9zAdWEshk8IZHqTx1FFpSQh5SImtFkWnJB1MyvhDYQa7SYsBOWVHQSDJdIVZxKfDFrh0tUlUMzKabajsA9/RiaOhqFO4x4zqW4mGmu/y8PhlgmyMWV+7NEkQyVoAPgRiSMIPjcFNjCcXDnY1lDrkM3gEd9viGoqbqyuJfm4oMz1RuNwHb7bS8eVIHeDYBpV6Ntq8LAfZ9q3NGtmEemEAEwsIwOS6aQZlEYaZ8P73xg3EyEWJ5vI/NRJkG2GT9cAhWITjrTDCVJfnaMHV2eGnAjUZ4zGqYKslNn/U1qCo14OmD9DXQB9tVPUwG5MilxxL4+EOg3XOGvR/vWsodnmclN/V3Q7vbWVaeB2Y/kMG+pQssALNRFlqRUwxE5AZ9Tjezd3yUPDjcyG7KNwenhsDDTMmFewNRIg3DBzNR3wUEyNPPXP+aYyzMvkGeqgq0ngFBdlNMITDB3zlZgjB1NIg6SsK0Z/jsJDAKbQpWMu/MCt3HLa8USTDkWiS09BR6wb09BDUAq65P+QAhfy1AlN+EsXj2x4wSnLj2F6TL61r+XjE+0DG1y1mHmnhKsu+ZbgRzKHQEjOaIRua0PHdVmFPqAM8sUwQCcukyETLYs/YkEIYMygKbMI25Zj+9OdMmliUDdoKyIiDCLswqLgM8RLg8INQws/w06DCbAcZ5NV8oX5jQvwd6GqyEW8pekXK9LXW9GAr8qAG1UNMeekrC+PAYheg+tIJvYBLhpFWh+/AVC8L11ImtJ4PYlRV9qRqQwkZVOIDh+yYYBe9WzPnDdpBWlMHhhfB/SvWheNwMYZTfL0Kwh0ScvM+XE5PMY/q/zGzaz6YhB1IcAFJtWhaEqjLTXmx3XibAA4ZmPx95mroDlAocsxaGPOWpwA4J0GP6lL8/DODDwVyLhW1B1pxiUsXPvqlVTZ3NVpNVOldis00J0/PX0sVaTqvmvWUsF2Nlg7T4+MKl+ppsg2S/ByJraRg/p1SRW8Y4FI2Cx+ZHHeAZkjyFKgFJJu2gJF86n7eLSQEdtAkLeEZhZlAh58hrlH1o2fHAjpDSKIgYnDWvsIr5hjsqi31zwLb9yVpwtLwaTBjrRFmYcEaplU5RmGMECKXWFUxGcenF32L0M+3gf0eKL0M4lSIHSw7aPAQ2ocOrsyM4k7+1uCRGYbuSSExbSSXlymN7n7KQ+wO9U1OFF+7LKfOFfSBUs+G7kIsPywnThtYgB2b8a909nJXJABOdx/gmWRWsn7FxMJf1KgqgqvSuvQzbNqatwjpIZR8gghCJKhDGEApdZmoHU1wBBVjPzbliTZ+Q9pCsK2/wrAJrD7uSXKmyJXxpJI843E9j3hw5Ped8fQAzfedXOWXlSYfFtRNppdkygkXsWHW02VEHeEZJmZcg924MF05Owct48tPlFFBtmPlStQnYt9DIMoPyW1l64Abz0EKTuwYby42yPJkdkx2gMfVn9AwwIjjgQ2oqq2eAlgZFail83/r7TBTTKHUjUjGNggEqlOIr9QC8sU+o+lLxio0IZataheAPzJXOpbfFQ8kug1nqbYdWcspUObWqeLOU3MSVFhbp0EpP8UDJbjc91CnEFjY2ToiMSoR5sgvEJo+cYCYFEIXsSi6fp6wbibL9dLCyhmCQ0Rd1cSDGhJm8Y7qEolT+NH1d4UpveshEGCN3EKo9aoK0pYfEtCTI7bZsARBbB+eK/DgYMEXON8hBRnYoykINH/kov7hQoTsQEcOJ1L2RnCzYS3RNccdeaBqIaCYaDPhO9s6bx9VXXsOmCjFf+tq80ZXnoyMl9KAIh2HhZF9cF4pS+jLIXAT4krdDnaMnxmh8eOZK/jmmDvAMS+Hb1ID8BwE52bQEd3p3kDYJZigRZi44Ey++OA0PNQQJh2GRzwM5wbW9Zw00LBAxYCReYRVfM3qFsdxULk8wLVYAGC/VIFaIvOpQyArjvQpV5aZ6ekUfY70K/YpQgDAxphQqKsLk5DSmpwlj4xXKHoMrQlGqL2ZrEdCVM8pRWYbkih6h8fRlVbl6VYDdedkmZxFOMh8BTKhIaVKlhMnF6QelwJHbEVnx1Ls3s3oOtkg2krDe7ZhsPQxveQK4BCHy9HDrq1owKruzolMmbDSuVL7keEpgIFYVK0BCEHUle9p4JfKqXzUNWRFD7e5I6IOwoQ/0dVtOVerZbKiAsRLYyMoBvFCnx2IjCwtNoXap7muhK3J7JvUKDaTAbjpYYBcL0gvtZMzmXHLYF4JFujCMBEKJlbyAEmTAgWlt9xabPhhOTaehgIsNSVqAALNKTGaJQZvJ6fnu2Dq5Sbs0RNJSes4qDgw6B2n9YwcZV3bWzyU3qAbppVO766hzjxLUe92gZNrwGYEsmyN1gGdYMoOdvq3titQKE2X5hNNPSZATjGWNZYkEnmzSaTkQwg5Q7MtUx1tlNXvLsC2CALXviQQ3wV9hAYvJo3gUFvQ4S45xPi6so7MDU6UBTIU6TtNsdFiSCysLhQgqFCgKBpVQv0pQZckRg6HxLbIDCCl5FbBgXw/oS2cN0grUHF4JregKgPSJnwUBVV88EtZqhNzKLsA5Ievs3l4+fVe8BRsWNOvQ8EsdUFM2FsgJjWx4+Uv0zUugVo8ZwCynm5yvkvs1lqbQCdu0p+9c7ds8VD1Z75Xj3KXN/kkMQsGMkghc6KlLiGlOhp2+NHvtlJp3JT4oSiJwxWpXbPNemXaHm9oyflMO/DDMrJfqo4Q+66fAwrpjpx8D9GjbzuzHNNhOMJU+ysOQGxpMy6W41YGgGCipvqifnrcBoAQ+IhuHl7HlBpyY/kvJSVD9keMkshYebOI4PJsWSCx172hzpg7wDEsklP7wwNuS9+Il0U/L8hLAp87i46aaEoNVULT6Mz4j6TJMBgVWXMFyyAyXmds/DhybyShHq5K9vHanZnJ76phwtfeOXrFFDOY+iAhlUSlAwwzmClS43ZSLQvn4lCWrr30oa4NdsSWfvRnIRV+w+k9rdWbWQIYsEpDfwkZZssgv214ZLpRjsyGzqZoNCRQKaUBg0hVGyMoANe0waooXWqAQH9LGbRVOTXvlqnZRMeFWMA4HGO2vQQ0ZZc4OlGk5ClbtxNoyYKbljBOwAgBkd4oOp5BMmzIpAGaATKn90UpTIAF9ZnWUhOBhzkwD/CMmXN2cy606uZwjC0+sK1nzD0COBj+sAbokCfSsi3vg2B/bQUyfIL0k3nWm8AnGoIeDP5Mm3c+kzUXuIc5yLx5Zhu1gslz2G4tsMyYp9omiBDhJbxSY4hm1QPDgOJlqbqhblj4cdYBnE1AOlzThlZRD8cDlpT5jMpkshhLKVv56GMsOoKRvtbIjP11yRZfkKRS2swCJe/LLJkCEuRVjhV5arqbL2Pr4aJiCHrG11BRaORuLkDohnfWSY2XFqbivFKO28IC0s7M2q9hTwmW9KG5uAtzZWQwUpR6wCtjpK6skCwbb6S6hBDVikOCGNWrwnKQFmJAymARGXpY3Nre7j4CWl8Z3tHb1TithabkBoPyhhNzhmV5m2khNJ8GrIwJe0uHYWLQKIjsFx1C85F5MheZQ2rYk9Mgc6aESlWSOltB9kbWVx5TF4b5GGvQYQAfAWMK8dwbC8Vy2UsJEET4ZE1aAhEUKEfGA2/A665jJ7/qABDp58oGL6xekp3YrBezIQCOTzoC9wLqTvK4v1ZLo082WGRdvsW2mzDrwtalpZIBnvlRoE1MHeEZJcjTWlMIZUVhDnkHATlMG88ElAUmUJVEPjwf510ZB27yaoTwXK1RcrlA9tJL7clPAKXHCufdnVoypX7NUXVqC3KaFlZrOEuDG5itcGGmrDhVQzs0C3JiG0wdwO0n15opm+ZL5gJXf0EaTF6VT9nYhrpmXInKHYbKwKAhm2jilw/WUDbmPY/PFa6dRZDPrdrRWiuAxRI9c8JXx4eBP5MoMGabSspQDDoCQn1WnT3dEgx+jIxzInYFlZSC1jUGlgUJZKP5lAbFqDxZo2qlB+RzNM4H22YHrYwCsdayEmj60VpUABLp7s2Gk8+sx5UTbvtgW8C0WxnoDSoGTvIpOxZC3uF5CMcrkiR+2+ddBGrdnlOnvXifTaN+HOBIK5uvgh+raJ/u0bH2RxkOTxlKUAkAhv7mnUfnwPFKpAzxDkv8FVw9OsnEJMNAGKIUKzV4H/KJ0AuQY5RApx4Cn/PPyikHMDOZSGdi0XplaabAPZkx84YEdoWBIfDWTc3xWGwwaPx9j3ZGrsRzYsXEG5MhrC34AKvXKLj3FZQSm0sliAI+tp9Y5xomSK3MDUI+tJq2YoD1tAThLhgIZaoVOxYxCf8ZzqabC+uScjt2gp1qz0r4MlfEhqaT6I+tVbafDDAiojLJ1X+NGwVfCj8s4BjO53Z0NwAL8jQTtyiWhZOQp4xVgp5gMHzXtZtLqdtQySAACMn4wzoeoMA7ZAIpKOXUzMyoqULDbRQYEDX6gVsZphMFQFhzzLEwaa8liXQ5c+yp2bOV1+lKraou64vfWPRfPvOHVPbRqpdRtuClgljh5meFXIULEiZSuUh6KATSwjMEXmY4bALc0TKsDGEnQRsiAFPEWaN86mTBVRso4NB/ATkfDUwd4NhG1BUJtgE6bwlLfxmaMl0CnqbDGsoME3j45EtCYMQ9x+S7MTTlZkCN+XZnCcVb47dgpMAGWCujVXeSWGpuyygD4qCkrzU8AHSK2AMgAHhhHZjG/Iy0YzAAqPbjbswlUgoJZTXOZj179cW3CFAohteKpKgwi0IDIfOUZ5QEABUh7D1tnWnJAyn5LazBjVm+VzECp+XlqiO2u1CasZALE5AeLdEaZyC5hbAbOYqEghAGq4ce+3MSRRWN6qlS2l87XV8gSFUitDiug1TYJsOUMaRWR2xjQgEw4gAO4HZitm49uV3Nt5BKq3IEcFhEizrWka0HZYu64j4CBaKeQ8k7Hg6pn+zTht3gbCmCKWOWG4KryTCwxjMtd15dqOkNaci+ded4Z5hxnaiXLpiRmcqs6h+IzAmE2Q+oAzyagXPdMOSNzIi4FXlJvoQERKQCVnboKA5OFJcoORhejVLyIJiQnv2SZBQ/41hzxJzcrLMnfdbkQ8e5UdLagSIKbXlGhKGAtPAUxirJSaQoFeNyv9k0qlD+PWeprNwAUdTNTIgblEZMyJ+i5JNZL4s08PIl2YGJUlWk6thsfVqzKJr1ayxyEapyMDR5ye+uYCTPfp8KFe48uePwsYuO08nFKhRNuwsgizPkMaaFFmfKXAh6yfFmu3OunVDYJuws2YLy2zLPRFinWzsfGCgEHZArBU4IbGyYAjnzHHJgxj5vTZ215LRY+F1h/E+OzFbY2J/4McDK+ROGu32H+NMl31bW3mSrL56mBKeEAYy06bjk7GY8r088t5/R1iqI48vtO0ifHglUK0qlIuUA+kW1ekP7O6WiG1AGeWabUuJECOjlAk1yh1bIwMzgXibCUwsmGIzfgC6diCtIF4SEPCUrUMnJ9b6w3GgT4Oyv7fOTmgnYqCsY/x1l3SMZpcNMrGCjc5oNlUaEkvQKGzFJ0Agq95w8552W3jJ68KS0pGwNq3kYvG2KpPdn53hAYXJDwIWE7JaaSOjdScwxFSQCT3ruGjIIiz/wh20oefinRqtddlKZD6HXi1DRHYebGnDckwx2ACLwxDFKTvMmsCIsVlPTnDS1DCuy4IxkMFaT9m3R6tu0otiiAazeCsuYUWgTjwG72UzLgBzrftARA9jkCZkNMO+0Il07WzlTV9WNz7pa2lDF57S05SB4+AEoDo5zyJp2j8kCKASZa/euKyTYPYYiEb3aKzVue7suvAouAjwf/EtcxJWNFH2oLUsxUq1kNmOI+GMdZJsaIfHhGwWPzow7wDEuhJg4oNWwNwtp+bIWZKRGWSGJkaCxbv8/yoEgvUwqRUQKQkZfCAhcP/HiZ2AIK46RqwIlk6U1VAXqayvj3CAdmAYLkVBaMLw+Akip9vISqQ0GMXtm3zslFwSiKCkwlCr0NsrL2wK2uMh7EotIkGlwdPwDnzFyxVe5MDGhLj9K2ZvUX7NJuj8x8TKl9VHQSt5QZMHsGe/BCsylYT0aRsI6YKTCowZ6gFHxRuRU0xGL9jq5cYeoBJ6uKSoEe7a9kOWpu5ICV8NlWFhh2y9ABRsHKJiNBoKlHH2JPp0qDSCGHXDlYqDlGVa6uUiXa2WwoaABnCfX8Ct2OlSi3sO8J6XxaBjYAxtO9lkiDQ9I3zBpU61+qKpHFf0dcC4fxrg+aZxst4gneSYJZlSbHGK34RZ/wzFSmG9iBwufHIDB7e297YNlJ6VaquSdkoJZLVWff8SZfg4bO5UqFR2BQgB8ZGbZ0R5svdYBnSGrAO8n0bSO8Ac4quThL7ncghBXo2TxICpbb2q9bd2/K9tIJkVyYXHbOFhyZlNYvRExvGQdkm0qCHptOAZbSWneEs3LBDiwRg6lCQYReqeL6IJRlhaKs1Llapft+LfQaZ2aAC1dvloJ7/kW6xdikA6oCKCqo3YAL5U9CpVKErJU2Ska/LxpU+96oVUVuUkopLtg4WOsArD+JUYByGghg/Y2tJ0S0M7T57tauq/balcdi12VSoMBXPwDUed1GizmevsXBW9qugUBoiTRK0JvYItjDHWWdVDpGoUMr6CXq0L4xkoV+Hn02ddKrAvWzMu0lt0mwwAximtGWq+uiL0x668htnoXJY9KRAc9apqLQ+0E5MAIIQCXarI7y6Qzoy8WleOk3ys7BhiODdpuOBgwJjGLgZMv0gk2LcgbyBDXTllaZTvpby36ZAi0xpJQ8LOwTcDNMuemJq9H48DxS0VsHeEZIcn8RSbnuOUi4WOSSjjfh5O69X19nuN+AmQkTutYBErgBX5YZOkInw6XweqAqyfBjy5egdrS1/hXaX8UIZHZG9ldyuXLslBV8vx7l66MUfal9dYpCDWdF4RyWAUavrEB6KqvsVRoQFCh6CvBU8iAqq0sZhT2QSbedBkdFwfazu+ir8IIB9KH23gHUqip9jQp6vx41MWNXGIHscRbGYmSBiy26ijfgE6O9aifzZa1Bn53KIruTcMHybGyGUX1WNZEDMr4aYs+BWdQg6JMKbplABtx+LST6eQELzVQ6x7tiMR1FAoAQ0EOlV3ORBUkFkVtWDrIWG7NqzDuUlYTVh33wYqa+TK2lY74FNBDKl01LqH/tadws3jMoGe27AwMmfUXbVtU53x79fMmHTe5f+fykVca0t3n39W7PbCEOYH/J9gcJ07wzSYKS3EDFuv6uZFN7Dw3ZaTLRHhRFz4iirGT4yR4PuF48d2hhVD48j1C80wGekdIAYGdQkkOBDRMAS7yfA5cZgiNZmH3ZWVgsIPyCUoAp5JOItDsh28ITX4AizC47t5YcA5LkIaDGb6dCQZV1VDZ5ekUfvZ4BO9p3p+yjNwEUUDsujy+o9EosRrmIQRWDFpSgiVKJNkGgXmGnH9RydmGbEEuOuK9RTR/6C5+VWUFPG3Gl73Ue7qs/6M3FVHplfeGK9AoN1tcA99XIrMLlYEjqkEw25ZIL17ykuCZc3bu4Su7onPEbqHOWrSVy/cnyt4rGpTFxZsNC1miICbYd1IosRlURKjY9RSn9jVxgw1SBqaoAM7ChX6IPwnRVYiEYG1ktc5/QIHTaqndgTPe7aZBbcaj1bI+AjTrM+vDAT6OAJ9s01lJAcI7BBhcIXUp6ugsuyF4Z+Jn7Ey2qczlIGqvqdE6ZPwyRY5Cn/i2O0dYZC/IkTAhrYvFOBIU8aTMavk7xD9IbQ8BusFTeX2lUo/rgpKYON335a9aswec//3nccsstWLBgAQ4++GC85z3vwe67716b77LLLsNpp52G//mf/8Fuu+2G97znPXj+85+/iaSOqQM8o6CadyAxfkfXbd8fpWDdV2G08orFteCZWqEVgpwU6JGWE++AT51A3oe8zeDvh6kv9SKQJzwA1DkYO14FwU1R6TRJsENiGTrEcnRtxemVUKutdJ5yDOiN68GXCL2JAhhTX9vlwh64qlAsmgBNFgATigU9cK9UJiMwiApY80rFYi04qyO6DcjhCvbY7r6yWlGfwX0Trkf+fqUsPxVQVeZatVTV10CoDwWEAJgd/Lly1xBFG1HsjERlnh1ZgKSmk8imVUO98ucxfkbJvUmksjbPjUz+RB8XgSQ7jQYAYRgZgAMW00DKymXqZk51t83c1+k1GOpNK+VbTKs6VSgwxsBDqFR5FUGZ4qAqox2kSN9qmIvpoG8zgFJPSYIZfVMvbXUy7UBE1roEsAVnpKcR7Uo+sSzd+vkI8OVaNUUhXHDpfYdiFysnttrBnVAGt7Wi8YVz/SfDoQUKsfy9lWKuTq4thO8YezmDHD54kl5mcbi+E+OTc8CW3AeBUw8P+ta3voVVq1bhgAMOwPT0NN785jfjuc99Ln76059iiy22SOa57rrr8NKXvhRr1qzBC17wAlxyySU4/PDD8cMf/hB77733Jq6Bog7wDEmeYhcgpFXG+DJfhrmpeddI/xOBlyBRbXk6smiIl4zYv/XC/b11nDJQssph2AEoi+zs1JcPfjy9SI6f2j9HpNEAqTA8zDL0onK+PSWrk7L1/i3oAdRTW+9SrwCBUIwX4J7yWuZeAYypQohKMQLrwbOotOLUh1XppeTok3YE0YdG9M0ZEiYcqr52jx2A1BkYarANptE8JxHd78x5Var5yAfipPl7JkHx3CpTBbGkuhBpTHqpV+VztmAn7ib2spBhcum22nOIhWxk0+upO9LgR05xEumpN2iHa41duAIVyteBC0aPKqBXoKqgrqlAT7c1FUC/rwBVBVbHTGgdWhC5HaHZWbPCV5C0HIB8TA6Ymz4t+65Zoaf+Z/v886+382Vi8W+cyv1X9yVW6IlGO3FpV9NJj6mQVwM0smMApeuSEEVjlUDe3EDqwz/HV8JQsui+LZDzoF9q6gwGMM490KkqQjUHPjxXXHGFd3/xxRdju+22w4033oinPe1pyTwf+MAH8Bd/8Rd44xvfCAB4+9vfjquuugrnn38+LrzwwhmJPSxl9dp8pHe/+90gIpx88sm16S677DLssccemJycxOMe9zh89atf9eKZGaeffjqWLVuGBQsW4JBDDsEvf/nLWZRckaesxRhizN2pYSXxetcXINIaIOLdm3dalJ2ULyi/ttgwkR68C7D100lXgP0fLaC08EgHZa9MK5t2VtU+OcYvxSxFV0vX9QGhxBoEaWBUMoqeCit6QNEDqEfqd4KAksBjBVASqCxAYwXQK4Gyp37VvJg6m6AkoFeoa+00RETKEVWnoULda7OU+3OI0NVPbjAUIj3yG8Gc4J5Ma5SpqbMEJtGDdlOMpOdlpNUtaHibvSgMgIXLE3QkEuEEV22Y1W/mmZu4wj2rQsoOlcfuq2QsdqZJCz1dWaj+UFCFXlmhRxVKY/0rKozpQ2PVFgWV28OJoM5dI3jNWJCH/7ymUNUI9izKvLAuveOk1wvaZfD5nJJH8qXL5smRkpuUlUlkV1Co3gqUldOAWPW54NpLGm30GOEDo3aK3JdFt6E3eMoXQj4127lFZwq4hgPgPCNnlR3yD8DGjRuxbt0672/Dhg2t5Fi7di0AYOutt86muf7663HIIYd4YStXrsT1118/4/oPS5sN4PnBD36Aj370o3j84x9fm86Y0Y499ljcdNNNOPzww3H44YfjJz/5iU3z3ve+Fx/84Adx4YUX4nvf+x622GILrFy5Eg899NCs1qFu0PAHT3EfKBCq+Qv5pKayZCIip7NDHsiVCUTKzC/DrIYy/AQIQfhn+OmvKM1EAqXkn1gSbvbbyZ+75cBQUTgQVRTKuiNBAI1BKdCSUIwV+rcElYUCM+M90MQYaMEYsGgSWLQA2HKBvp4EFk0ACyeAhZP6dwJYOAYsUHlowRiwsAdMjoEme6DJEjRZAhOkfIPGCmC8QDFZAmOk5OlpucYUICvGCOUYoxhjFL0KZY9BvUr9FRVQMqioUBR99VdWKHrTKMu+Ci8rZeHS6YuiDyr6KMq+Ojm+rFD2KhSlAgKl9odSefveX9mr0OtVdlVbj/roUV/xL/ooiz56Zd/6TvVK89dHqcvplX0UhZKv7PVR9KbRG+tjTPPujVcoxyuMjVUYm+ijN97H2Hgf5UQf5XhfpR3rY3zBNMYn+xgf72NsrLJWPPPcS+vHVQXToMphWfUB3yrjgLP4y/RJ1X9JvF7+fwDpeP1L4mxxo2s9oJDiAO/eQQlpdospJ2+cTq3GYukwPAOSAMbZRwhM4igMIYwb37h2fEv+mZLCsdAbB2StndZnC7Z8a05y+nbGrTF/6ctf/jKWLFni/a1Zs6YxX1VVOPnkk/HkJz+5dmrq9ttvx/bbb++Fbb/99rj99tuHln2mtFlMad1///142cteho997GN4xzveUZu2yYzGzDjvvPPw1re+FS984QsBAP/0T/+E7bffHl/84hdx5JFHzkodsoOMeA9DS4nGCzZz6w+PTEISv5QIk/LUlRWuRjPm+YShQnHKWGl0blt3vVI7VjypPyblmGzBjgBSdjDUGwqWoeJSFoDeGBToKdWqKBo3gAegsQLUI+W5WhIwVoImeqCJHtDrgcb1FJdprAogVKCK1XRWvwL600C/AHoVeLqv9t7pE6A3OAQRWDcYVzqsZPC0nl7Q83NV3yyhh/LfIbFXjfbdKQhqc0MzrUOwvi5kLHmV9biw+8tYfxgoHxK7/xG7zqBmx+JnKPdTcdOUcV9SNxXsYaBCIWnN7boK6c900o7KohsV5p7InRhNsIqr0vwJld6dkaEuGVwwSjD6lQI/fWjAYfzAAHuv+jdFOyxLC4VXNaTDEaRh8eu3qGzbps8ilzu2dIS24Xo1HcqkpjT9/YbbSpZOxE5Sbwl5s2zp6aNEPi9I3piXIylYTbnwsNGg+WedRnZ4KOGwww7Dpz71KS90YmKiMeeqVavwk5/8BNdee+0I5Ni0tFlYeFatWoVDDz00Mo+lqMmM9pvf/Aa33367l2bJkiU48MADa01tGzZsiMx/bSj1RWUUsmc2T4Ed72IAEuZdwz+cOTF/5mvGfuPofLXDrlVqcjrJX3VjuOa+il3VCOYrryjMoEjesJUEPnrzQOOXY+pml7aTk8vw9s7NGtNLz/WUCmnrCZWkPvnHzW8B9AhFrwCNlWrKqlco7VtqMFSoNG6Ky/yVOq1JJypg8nnTWyK+gLYEwFnURJwyS5g/9vLK6ScfdOi05oETe/FxV/MnG/J/WrGRw0lSZiqcsiOq/D6v05pjO2SdPPCqwZA73BV6OrKy018qv5u+NJY8tdFk5Xy5jKXHOK5bJ3bzOChqbtjHJKb9RJvZ/irlDdrIthWH6QVDiRijt9BMNDmLhLT45J5dmuxTU0DRiEB6Eio4AiS8zpZGRs4AkokBLbRZuQSp65o6sR/EXCnwq7303TAoLDjCPO3azTjwkxg7nSwOpM09mdPSh/0DgLGxMSxevNj7awI8J510Er7yla/gm9/8JnbYYYfatEuXLsUdd9zhhd1xxx1YunTpcI0wBM17wPOZz3wGP/zhD1uZ2oBmM5r5HdTUtmbNGs/0t+OOOwII9FBCMYekxwNrWQ1f2iif/kKvNZJI3nDvtJzmGYSEUSn9mmuTsFxZFcrvBhLyh6lAKRu/jXhgVf+y/eJ3fwR/ysvwcdNn6r6Uio9Yr86CmrbRVp1CK8tynN200QSBxtVUVjFeaqBDwFip/noa9JSl/jPgRwMh0r485r4sVGEmnQQ4GvSQnFs0Dy7hk2McfyPAYGCiDLPXbgpRtaWxtigqjMM2Qe8Fo66ZGEyVfgaunV0fZvcHtQaKhJoxwNOEFVahi2epgYo7+JUtOFWbFVU2nalbYabaTPOVGqwUDjiVBuzov6KoUFJfn7+mfXgM4BHtZ/dxEtMr8H6N471sZB/geFZOHWh0qXKwhlC1enpKmnp99KBD3Z434Ztiro3HjD+FI4R3kMsCJ2XcIzcWwQBTPQ0lSmDJJiQzRcTSqpKS1Qc1Rmqvsbw8qT/oejhQxQbMePPumbJNvP6l6M+vWq7Kc0EV00j+Bt3Lh5lx0kkn4Qtf+AK+8Y1vYMWKFY15DjroIFx99dVe2FVXXYWDDjposMJHSPN6Sut3v/sdXve61+Gqq67C5OTknMpy6qmnYvXq1fZ+3bp1FvQ0UfSyUCYcPtgwF+zfqusc0Ah4W+VE0WsPEjdhnJm2Yki9K5aEh/JbwdnnKetAftpwObqtB2slbTNpBaqXnpeeggzGOa14y8Bnx4QTab8X4+RcVijKAjRGeiqLQBMEGofSoJOlclDuqSktjPXAZaE9nLXyNnIyK0BTkVqVZR6KWfZj5pZM41aFCkMBTFfqsjRNpOptjpywzcywmw9aJxCraSGOqRDKUsppH0qll0M7Hv6hkeYITnUNSEUgV1jpPmIenLg2g6pvwDDARS/ZNr5eUk+RUbrGmsLa4Vt0Esj3Qm+sVwFU6tU0PQK4QsUleiXB7PZY6c0lK/2oiKEArz6ywzRR6uPFNHFJwLRJbDIEHy3meIl+ZSwO7qmq5Bz8msfpVgP5K66ClydzbeUHoTKgRj9XdpBLNmNUBXltNjBUDDQ//QyZjf2E7fNL8fCubZ/hoHy3YFzFhauiAnCjOghqNbcsoIY44qE7hu1oA6KDhyGtWrUKl1xyCb70pS9hyy23tMaBJUuWYMGCBQCAo446Co95zGOsceJ1r3sdnv70p+Pss8/GoYceis985jO44YYbcNFFF81ZPeY14Lnxxhtx55134olPfKIN6/f7+Pa3v43zzz8fGzZsQFmWXp4mM5r5veOOO7Bs2TIvzT777JOVZWJiotHcF/q22HDEgCKkQcOlMomAB8xXpOCTQk0ifV2cOWVaWIPteCOBFsl8RsnJNhEyCFY6vwNTVhTDk9zA4wM657fjGBkn5krEmSkvBXaKHltfnaIHlFuwms4aA2hRAVo4DhovgUdtAUyMAYu2UE7JYz1gYgIYG9OgpxR1VhvfUL8C+n33N61+qaqAjdMubOM0sHHahW/U4dN9VBv7ygdoWv3xtPIN4j4D/Qq8sQBPs92sUG1UyMA0if14WG9SCMBsVFhVKg6kvurNwaaV1cdO+Q249JWZQaXz6THai0r93ErxbAu1DN2gZgt6ShMPe24ZaX8k6hU6zFjEyGXWDklMBO4TuA9U0wD3K/TX9TG1tsLG9QU2Tpd4aH0PG/slpvo9LCj62AACVyUmikpvvmhOVVfARh0/4dtMAA2InNHJew/Cd5OMAmWnxAm6XjpMw1u9KpHQZ3fSF9t/2Qsx1wLaev8q24l6AfvmhHKblgTHul1mnBQKhKjjLypUUby7z0Aos8+QCGORzqWWh4syQvlsDnZpKErFHriS6cIa14UBsJtdhu0+F6Te48HezVHQBRdcAAB4xjOe4YV/8pOfxCte8QoAwK233opCbMJ68MEH45JLLsFb3/pWvPnNb8Zuu+2GL37xi3O2Bw8wzwHPs5/9bPz4xz/2wo455hjsscce+Id/+IcI7ADOjCaXrksz2ooVK7B06VJcffXVFuCsW7cO3/ve93DiiSfOSj28l0f/EwKjJB7hIJz8NLXgSnx9W/+JIE0Upsvzjo6g4Dchs7kLZ+ddFNv8djky3NcsA8ph1q688vka5VOQSxMPN4wCFUoonaiUoZoOMY7QpZ6yMgqXCqAYJ+WAPKatPJNjwOSYmrpatFABniVbAgsm1PTVxLibxrKaGhbwwAAeZvVb6Y0Fp/tq58B+pQHPRg10Nmqwo++n+sCYAz/oV6CNlQBAfaBgUE8BGppmvREh1NtsrjXwIb1rs54ZsqeywwIjOMtJpdSgcdqFjEPwoRv0PbN0XN3o5ifxC7jl5z0NhHTHIv2A1RJznUH7QVFZqKX9Jak9kAoCmd0jy8JtDzA2pn77BOoD5YMPoVr/EKjYAO5vBAqgmGL0+xWKPlBtKNArCRWVqFCh5AJj6nAwtWkjSM9SKudlVA5ymHeqKFyA3ETQ9HWutBVLK3tlaVQno/e1U7Q5xd1YLSrW4FE0sLT8yOMmQqgh3wX1r3m3ALeCzIAJxbEKLSkcPly3D09F0jpENnkIiaQtRv1vkGEsqRmH/A3+wtVToY+SBpDhKMaVyEfwv/IM4IqldubKkA8Ab4oulHzTk51B3uTlNhd6zTXXRGFHHHEEjjjiiFmQaGY0rwHPlltuGaHBLbbYAttss40NH9SMZvbxecc73oHddtsNK1aswGmnnYbly5fj8MMPn90K1bwjYVQKzDS9Yt4QQG648HgIsCWBk7kuRFidrHE02XKNNBbkZPiFwMYOfGRkEfv42GQx5CJSK3Ds8nrN3BrJ9XJruUrLTAkpywNZhUq9UinUcb3Xzrix6OjwonB/5rwD03JkDswq9FHbZn5KL6MynsYVO4U9XQKF2gzP7unTr/Qvwy5dq0RjmvkSc4KlVsrcN6u7TP3FME5wFkgW66tMuH0CAlxHnRLJTuVNNUXPmV3zSCBkBLR1AmSHIev4rcN62qHc+kdpxNEzjuQ97SelefenQdOlWuY/AZR6V+teT4HrXq+Pol+ovXkI2EjKZagEMAagr1vOiqjj+6JN5V9Bim8fqg9XNfrBWF70ptd2lZm1dwTtLJtUNWGhwY9vvVD/VpZXMymAYv6tNEcidtNhllsTPym0mQgrNaCTQERLa4EER3VQ3PIlhuEyl5JC9nwOrv2cthThxBQ5W3Pb9px9Yu2DMwo+j0Sa14CnDc3EjPamN70JDzzwAI4//njce++9eMpTnoIrrrhiRn5Cwm/R3tembxGRStOme/rAAFanyDj5bSP1jrlPWYQ8SpmK7LVTmCmLUKgkfJndUEVwuysr+VgrSgUADHBRiSvtkCy+IgNHZ7MZnednStD77pAzO5lVWAUB42PqerwHlCVIgx709LJ0Y9IQZnVwgaoo1TQVs7bu9ADvvgJ600pRT02pZekb4Jwlqa+G7elp91GqNSDpZfDElfbj0T5AfXNuBKnwvhm4lUWMC1ZL4klPeZnPxBL2AzfeaiD+srXRHIAckUABSbcqqywZXKgdY6jUhejpROgmVJYcZc3hQq2I454Cf3YPpLJUO1wLcENjPfDYmJpq7I0B42MKc26swFUftGED0DP+WWr3ZbmCy/5aYGOmbUnoRvYqmlV7ur9XwQ7Dqb5uAY0FOkJBk7RESApfNvcrYUkWldYQe/86xW9k5sR1joufzs9ptz+QwEfGJ7k1ky1PX4Rgye0vBMj9st0jTsvjCzJ4u3Y0/2izAzyh2WwmZjQiwllnnYWzzjprxNI1k/ciCrBhI0cAvKVisvfkT1U15Y0BSSKAVCFGR0hHZg4AV7PM7PyEIL7LapCX2YPHiCKdqo2za1lUzppjnGAJKMaBokdqo74Saun5eE85u5aFmtbq9cATE0qhlqWaNrErsQR68iprTg51lg1UGhj1+8YUoIBPWSorTU8DIe4BrJZa25VcJWmWBFQFuGA1xcNqBZXlr+dd1AZvClgQQRwZ4NoVBHChDUQEO11j2rnihuWbQovb56V1tfG5MfsCkQaspB+UilfTO1wUKEpS/sQF7C7VVJACd2WBoqetOT0AvUKBzrFSg1C9L1IxhmpiDEVvAlVVKXAzOQYeVxYeM4VW9FgvmjOrs5Q9xHOA18upQmBuVgF5J6eL9uBKKfTQjzxuOLOaSbRZjf0gVLOeIzPDTZlBvYmOU1pBh6DC8tIfCQXUlJvpzjGHdoqfI4uJsSSFsvjQqA2lJLAYUvR033oDGJdu11oe1hF8UtLMD7Ajl5V3NDhtdoBnXlNDP0xgBT9AKPswvQ0LP/JqCmszPSULs5dqLA3AhPTNcZYYs9urA1kCZXEM8MLCFQ8z/SXVi/MGYIi6ADDnYykXGjUyVzBnZJtC9YaDxrsUbKdOlNOy9h3RwIImSnBP+4eMjylw0yuBhQv0tZ7ikk5NsmJmXsiAIWY9taWVSaWdZ/oKZKGc1tNWGmCVpbLUmP19Ko0a7OFM5KazCl1H6TcaalgN8hxyFH8Gn4WaWwLklEaBn86L1s8DBkSR+/V2+rfhJKw8ZPcpclNZsEBVWYVKCzapV7o9jkq9im6sB4yXyqLW7wNmO4ExAvWAcozBJaMsCP2ij16pJ3LMEnTRf4oC6PWBjUSiLVQDmO5kzv0iQDt/m3u2mBYwih8WFFXeO6HdgIVTbN88EjEWqCkvDiaZYJe6W9l0Dt9GEzw7IOASPlMFNh18qGy9ONkxFFVs4oy10YPY7ppdS5mOKJ22/c0C02RXnona5MrKk5ZCtA3rnTyVRYiD1HWwdNNRNaIprUcqdYBnSKqY1ReRIPkKGrCgwn2q67a57ygzjrhlwc7zIlwpVck8Ii76FYXJOLNaxelORqEVmpFNnmlphq9Qh5JREubLuRCQRisHM7QWtlytHIisX09Z6KFafLi54ZEwraVSB0S64VfNbJHeZReotKJlKOygwE+hBvqiQDXWA5UleHIBeGwctHABqNfTy7sB4sqOlGQEARRYMVMaVQUyn/wV2ziUlWkAMApr+VD5lCcxVSXU6ermIFKCmn+adg/FINJSD+xWU6p4AsB9uCXsVlmR61yGj6mIaVfx/JJkOgRgVwPa9Hq5ue1vsnwJgArW04m6auHfGIH12WYoSW0PUJbqOYyXQG8MNNZTTuXj48DkBLBgEtaBaYwB3gDiKRQPlag2bgRtqNSRIdOFnc4yp7QXGjJbp1CFZFBVhTqFXf9VOlI5dxOmq0opIRg/8BDUqPtprmBWp5t+KyEF63dBWe5U/6k0yKmMD4yOM/l8DxsfwLjlAIoqrsDox7kssBJhcrm5rQVZXyP17rCe9vT9c6Qc7l8R541ZIagwoMdflm5lCzcuY3gyxuW6cNN+UVhCDgcibUfww+YQcIzKwjP30G1uqAM8Q9Ld0+sxVvSz8SmQQyAURBpMkNh0LJGf5VDkeEoglSNlEFCpSl1eIRV1IJc7W0aXQkLmjIyl5t0j0n43MX/D14SFU2sFlHuG2tSY9WosJ4aRqSRtTyLGGDEmexUmS7dhXVUpZ86yGAcVjPGywpaT0xjrMZgYfUyA7lOWhS237GN8IfAQF+A/9DC2oMCWjy7x4PQYqAdssSOw4aGHsGD5A+hveADjPcLEYsIYbURvokKx/2OVpSHRjo00bVZnbQRv3AjasAG8YQMwpa6xYUrFT20E9fvAlF62vnEa5cY+Kr2Cq5jug/XSdZquwFWplrD3CegzuM8o+oVepcVqOWsf8Daaq5wyNw1d5vaOk51ZAx7PEdmALRNWAFwChdlkUR+gqqwuhV2FxWOFvlfTVYU+twy9EpgcVxa3iXHw+JjaFmBSOZJjbEyB094YyslJFTc9jT9ceRum7prChjtK9O+bAN+3ERvv7+HBdYTe1DTWPjCOSTDuvH8cU/0CkwVw/8Ye7ttYYKP2F68A3DfFeIj7mGbVh9Xp6YRpBh7sV5hmRsWVcnBm8z6q/XymwdhYVdjIffVRpO0zxseH2Lgukw3rVxX6qNBHH31hz7H/kVH6Ej3G4KdChQp9VFxZR2SzgWcIePwByvGDV7Lip676DrUFwIWDX9g79VVDRJa3LAdQgCyEgJaD9JML/lVAKOygCVuMaXfvBTV55ajHQXkSSAoAWU2HJXS0GVAHeIak+6uNGBMeDzPB3gRgTDukmhcuhcAjkCLeXnmVAjPmX3VqQuFeZbMclPx8sRWI4jBRnglbWJJYfWIsAH6a8EgNeT1OwJiw5BCUs63ybTX76ejdaTeWWFBWeuZHKaSCoE/EZhRU4p6NJbYY76Ov8/f0BoP3TvWw8CGgogK98QL0UIEHNhLQI5RjhKlqGuVED/1qPXq9nvL5eXAa5WQfvIVZqzMEmXXN+o+LQj3PQjnuKnBQOkeb0AtcNxhRoZSZnEdJPUhdZLTITVh2fPna1KHmr0AgLyE6ctxuSUwunqBWy5mpKtM+ZQkutS9VT08xqm2WHYLWxUz/cQpT905j6kHGxgeAqft7mLqfsOEhYONDBdZvKLG2T1g3VWK6Iqxl4IGNhKkKmGa1OK5fMdabeygrjdnL5qGqUqv/WU8ziV/o8ClWAKFvQQ5777a5Ji4syJFTVmafGwk75L25No3pAE7fTj3ZXytbmNfnqq6MRcOAnMpLb1NHICQAOQkgAWMeEkAqBBUhmAEk4Enw9IISVhsOwtlP7+qeqodfnryvOP+RO5tkLIkdzYw6wDMkPdjfiJ4+PoH1Vwwg9ZIPStSL7/xTjDnbWGzMWTbKdcF8ccVkypKWnvDaZDbgwbzW0sJU6PJyFhxdmAUdSkZZFuutypVSWEuEkggl1D4mJOfLtDyubOeWUmk+FWtLT0HoSUsQaysVaadTkJpqoAKTJWG8cGl7BaOnDwzdWBVYOFVivKesQGN9RtkDpivCFtOMoiSMTaqVWeMbCL0JQm+SMDXFmFhUobdhCuMLK3UyOU2hWthHNTWN2LYzAGkAQ0RqyXu/D0xPg3oluCpB03qllzxqoiDr5FzoNc9VBaCoUBTKikNUgQq9z0rhFAkB7qBRo/gq/fw0KC3EKFrVeiw7cAoNoJSDMgOkrDlcGKdkQlmSAnMlQL1CpTeO4YW27Iwp607RM0d39FRYr6f9p8bAYz3Q+Bh4fFxvFVDqrQJ67ogPAKgIG+5cj4fun8b0+goPPUC4/74C0w8BUxuAB9eXmN5Y4MGNhIemCvSZ8OC06g9TeoPGB/Sqt40VsFGrwD4zHqr0xkYEbKwYfQtklIViCn1MYxollON4xYxpVHbK2yj9ChX6XGEafTD3YXavMmNIBUaffQuCVMR97sPYcSpMI3rrJcDSo0wISMy/CoApfmynVQ0f7fguQIHll9mXxQNULPMw7AQ4+zjb+SulgAdny/LBjwgVS94BCZgq0zyujnCo342BMWALr+cK8AAjclp+hPoBdYBnSLqvP4Uxvaa3EiBEbR6m1I3bVKvJLhB3QgkyCjOwab8Wa3URp1ybl0GWlZ76ouiuQCGmwTSY0mUVtiwT5tSphHTE7PE3U16FXuECUob8ojBpFXAJJTIGgDFS4KeEAjqmTfuVBg26fmXBWGCPvNJKqV/YVSwLeowtxiqMjTE2ViWmqwK9gvGoLaYxOUV4cH0PY8TY+tHKv2a8nMaSpSWK6Y2oloyhtwjoVw+i2rKvTj+vGNMbZ2jW1gDHbEzIfVab/umdlKlfKcBTmR2btT/PtN7EsFLpqn5l07M9oZ2VE23lfu1OzHoHZjArH+qKtAKG9esGjANqnoxPFrRbknJPUh2i0OC/IKX0i77Z3o5AqNQUV9+AOFZ1LgEuKxSsTUPTBuzp+vcKVBWr3abtsnqA+xWI9CaPBrxNT2HDHzdg44PT2LChwvr7gPvW9fDgekZ/Glj7INCfLnD3hgJjAB7sA+umgHFiTDPwQJ/xUF/VpyRGn4CNVYX1bHxq3H5Oynqjpq2m0Rd715j9bJRVyBxo2ddWk76eHvLBAGsgICw8BmywAS0qP8goccMD3rW3v59eiWasfz4vVVI4JSTBhhtIyPJjyU+nCQGRT36Hiiw2HgCRsusSRPqUtcfJW4l06bLzYSpTatWWLMN+5FVzBXg6GoY6wDMk3TH1WxToea9raLtxall8idUunaohNi+hWZMhjJx64ChQQO6s6igEOTHoSZVFMCuP+lp5FZZ34WCYx8EHL27YIJBa+quVA6FAQYWVOeKkL8wMSYVpFChQUk/7+ph6agsDjAMqY6zoqZ1ydbxaldMHEWGiGFPb+N/VB1Ef40UPE1Sg+t8plEWFLYoxTP/Xg9iy1wPRQxgrN+JRExXGJzZiYvFGrFh3LxY9bd+wxQanioGNU8qXZ2ojaOMG8IaNoOlpkNyNebrSvj99t5uz3omZpxVoor4BTwz0+wr8TldgJpDawlftyqwHddagSK1KMfI0yGs+iM0f4Jb9F3rFDTnTHVn/HbUqjosC1FO+O2bPIzKHsfbcuWUY6+mVV9rCM/EgMD6htgmYnFQ7XpvNGqV4U31cc+N3cc//MO6ZqrChKtHnMWyoCA/11dL/h/ob0SsW4MHpDegDKDCO6f40pqq+nhrtoc+MPvcxzX30MQ2iEnK3Y+VtM42+cZXXK5uYfKsKc4WK+s4ioL6G1EeLBg4SLBgFz6Kk/5+9f4/W7ajKxOFnrvXuvc/J7WBAclEusVVuIgGUGGT8BEl3RBuMII0MB6ER8TIAhdiiQQRRRme0thBs0HSLXOyGbmS0oqgdxSCgg4s/bl/jZ8MARaJAAvRHcshJzt7vWjW/P6pm1azbWuu97LP3yXln8p69Vq2qWbNq1ar51KxZVR4UkL7Uyj5AHnsRgylC3Cf59198uXIl8RJQIX8iK0o+EeQp7hiruaVPAkcxTZaonKuAosxqPWKVGswjiZIuVDlVtK5VWgcj/cHTBvCsSCe6L6Px++SnVDeJuokl928LojaKIx2KXow6DFeSfDiN6fKiGSibkBGTN0cjx8IEmWIcMiBXioZmaLGl4I1zmvQOiSVegU+LGWa0hQatK3EPWVmip9AkbUsttpsdNNTAcIcOHfzmcY73Nm3jSLuNzszRYw5yCmmbZjirPYLd/k6wO3n7Hltn467+BACDY7MjOMl34pxmhjl2caTtce4usLXTYbvvcf9L7iN6az1kGPpQK3LKsNxJc+k1FKPFRFngmON7lTTYUeAHAn7cdJe+91sAuCk9u/8OuSXpzl+nVT/xcZLT5v1W2nWZec/gg//fm2F4Cyc6oAMBPMOeYewxo+EtnDQdtmgHd/a7zpKzg6436OwElAPyOzjJd6nvz4AwQ0MzdJij5w5ii/FWGiI0mIEJ6Hnupps0oIECI3DLvwMcYeeHk34XkRVHWYv9d+2nhAxkg73U8TdvR9oypF6o+sqY/fqxvJ6rfVty7y91I9FRTRpxJK/8aTVVlHcqS5y+5idUzbV65MT+ku0SzszpqHXQBvCsSL25E8ZtO6t9eHJKw8l3dQJ89GgNSD+7UqcSd1LxdW5tsauknQbKOtV6XkGxp/klf1k6caA6KnPMNCexwXQAdqFWaCUAkGSqzU9lNTjZ3wm9yBdg75PUgLBHd+FOQ14ZtM4qtAvCif6rYPRoTIOWCLvmJIAeMyLsmZNoGoO93k6l7XGPO02Hbe7RoofpuvWBnah+bK0wtF/VUEYk/+fh7u/axSREYE/smEPkFbQCSP5eh1dTA3BTQ2R6oG/tJpFpIga+Mr8TwDY606Bj+14NGnscGZ+EYcZJnMRe37n0u5h7AGP5Gb4DvekiVwcLbxSwKJwNxWAw6RVWpvCVuRA5vDVyDNbWmBHyuFd/ywWLzwQFrvOPAVZF9gUp98OZ1vcsn2PMYYof0GLPDwbwyCz1qrSx8GxoKdozdwAe8JhISWnIEXx6WI2cSnPdboqIGg8G7HJOeS4xg5IJoIN8Xn5kpszjeTMXK5Pk1RTyYgVSEjsLu85ffAtcGhuzhUx5NW5VmHQ8JMrOxWTulQOmVToNZmioRUutLwfJsnSQnU5g61La0Axb2LJ1z7Jaq0HPc+zyLmaYYac9AsCgJevUe1d3J460RzCjFrOGMDdzEAhH2plbLMQ42s7A3OFI29iVYzTHDhu0YOWrtCpZi4VYPWy1FDS/BgYYtnKEBFwy6uw7SQvx34ICZJnUpB4O6STnt0NRYIE64KvdLuz5TQ12DXCyd0vDuUXHnQ3v90D2TWKX78QWjnofnF1zJ2a0A+uBZh1tO+7Q8y4ILWbNVuwXA8BwB8MdGMa13RlAcN+FLovznmHx44H/7vwGSr6PyJJKbonVQ4CaWg/prZzwZcj5uX5C70mQ8EPU/7hnA20/Xb1VieX+JjJFbXqxRlv22Vm04eeD0kWA2YYOP20Az4p0V3+7c/WtjaWVU6IPqVH5iUCA1Kqi72zKtCOs8x66C3npfZS1Vgr5DJdK4ji/Iu+Cbf+1MCx3/NU8BTy1Lr31npgXc2kwc/49LTqex8qmA7ZpB23TuBE/Ax3jSHMEs2aGO/sTAAPnzs7CHs/BzDhn6wg602GrIRxpWjA6bM8anDNvcPs/fgnnXnLR6lae3EAxOW6aLrLpyVljBe4c1XBIOUlXFTnG195vRCyeDLc9gc1L5WixdMokMliIgnWgl62Dtl3SzWnBgS3C7d2d2O3t8vI9w+hMj84DF7uPzElzEkeas7Bn7NqqLWyDqMGcdyFDhBm2YT3C5jBqwMAGaLHly8p+y8u4Rki29gYA7yScgou4NuM0EloarMQxclIDiuwtLaisffRy/7Y2Oq0wxEFNaa1rldbqLE5HWgjwGGPwnve8B3/1V3+Fz372s7jzzjvxtV/7tXj4wx+OK664Ave5z332S85DTHOYIU20JmJ3fvOpIE5HpWug1TjOC7ColIeLVRv88zwT5A5zR9R3/d/u9vBs964yo68CR84+sp4pLbHYOP8Ucsu6va9K08AuhSYVv8LGk7N7670ILE51VhKyZ04ZsQhCVlsPDd4DuHBxZJdlsFX8skJL4mmZRq8nWczYrlbre7shY9Om2ADmTsYn7vgypvTod5jwrnvMsyR7A62um9Ail/mObJp1fH/pgGQddIZqyUNE9uz5tXU8ZxyN7Lhh6a677sIrXvEK3Oc+98H3fu/34n/9r/+F2267DW3b4tOf/jRe9rKX4ZJLLsH3fu/34gMf+MB+y7yhDR04De2OvRTJktghJ2U/OC9NK6gIzAF4AAAnPiKyrFuyE2zEOavsh+SvutY+KCGa/ldAm0zJqSm8Jvn5MLcDc2O3cOa2AZpZcGZOZ0XaM7Mj39CZQcxr+h10QQ6IJll4vvmbvxmXX345fvu3fxv/8l/+S2xtbWVxPvvZz+Itb3kLfuiHfgi/8Au/gOc85zlrF3ZDGzosJHsRrQX3iGJvCEwNyI3wGVP4C3gJmx7o7kymlwzbc7n8VBMoeHakHeDE3pAMwG3k1WU5VvczSeef3BOxcolvkiw3dwexMgUAZM8fQwBMCZl+sw/thja0oTJNAjx//ud/jgc96EGDce53v/vh2muvxb/7d/8ON99881qE29CGDi21zXrADhBZO2JXd+TgQ1tGdHAp7hAtM8Q7JcPCvGwSPCn15oijDd2NyWBzWvoqNGlKawzsaNra2sK/+Bf/YmmBNrSh04He9t/eCdOv39ep5AQcpn7yh3p2SZ9hVozAUPs7wVpijJrKkj0s2c6CpT+fifuxS8O9/dldno3Lh8NRFsatBHIHmhrZGZrdaiQjQriMTfJjt4M02+fsd5Hu8zW65zf4+mP3SGpyQxu6e5BxPjyr/s7Ur2OpVVonT57E//7f/xtf/OIXYUxsQn7Sk560FsE2tKHDTE99+nejaVc6USsQNd6vpXggLCsnZL9BoQMU9lRLd7yEitPDHVcBt9MyPJ6AO1ICxuVQ8NHJDEsIz9KZM7sbALl9aRRPMMAEv5lNE8pIUOVtZMdkmc5qwvlYs5k7U2sG2poBW+709HZmnZYTMxvdAfzz7bdhskloQxva0BlDCwOeG2+8EVdffTW+/OUvZ8+ICP0+jHo3tKHDRum+1+thGhx8Se5Tr2K/8krMLfa58cu0xXJi4zCUhcXAgw9t1Sludpu4wvhdkxWmka1jIkuUcQvdG7IAzPnnkAHYrTZjFlYcpuJEIFK8/F9r4TKyX03TxI+1nGfs2HVDZwTpxQUbWpgmTWlpev7zn4+nPvWp+MIXvgBjTPTbgJ0NnSnUrMm4Y0mtVlqEvGWm0gOWVlfpeyTXKDxPnw2FjXXEKaYZ4we4Q9Qc6JFjKMQKVKgv2vgsb+huTHKW1qq/M3VcsLCF59Zbb8U111yDCy64YD/k2dCGTgvavePk+lZpKR5ZPzS4q61Ko4xB5cjhgvVUVjFOhU9i4UnjBstUwoMZ+owGbceSTTkjloW82QnAbjfiKB+VeF+O+9jQhg4JuSOQ18LnTKSFLTw/+IM/iHe/+937IMqGNnT60P/nH/55PYfaADFy8f452mHXXXfqlPTOgHsJM6Ce7fWcgQ6gjoHOXtu/BHY/dAB3AM8B465N53yAO6CX6+TXqzj6x3O4fODyALhzU2gdgB7uFHfAHWjl5UZnrKy9KzP3rvx9qAe3YzM1/uAEZ+VBBr5oxvj6e9xjPe9lQxva0N2KFrbwvOY1r8FTn/pU/NVf/RUe+tCHZnvy/NRP/dTahNvQhg4rPeoR37TeTe7c1BQB1vdFm00yy00SkFpmFplmKohRfVCy7ChjESVx/LERxTIAYd8dqM0I3VSVnJ7ezIBZGzsxN23dJ5kJ/3zbbdMKu6ENnWa0rsNDz1RaGPD89//+3/Hnf/7nOHLkCN797nfHq0qINoBnQ2cGzRY2jg5Q7JRM/h7JtJBxq7QAYxhk7BJvYvbLvAHroMxuBZddwk3BOVllJSu97LWd1x/sS6MpJPZHSzCR951htjjFbm1o49gdDhngBtTba7tyzFjZGCBjANMgRUfc2AyNPmB10By/0QYbuvuSXYS5jimtM5MWBjy/8Au/gJe//OX4+Z//eTTNOjv9DW3o9CFat7OIX5JuvVrsl1VYkpE6IQMeuGThJSqlD0LE8SqPskicGoASPll+ufNQWLFVEZ7IHTEhKKsi0/xM7co3dCbQunx4zlRaGLHs7e3haU972gbsjJIeidIafocpr2XyGZJ7kXRD+Q/xrz2Tu6K6rtIn//en17M8lG2OGrv4v2KF4d5Zd2wCdiYadkjDLytXGwda27dch3s2STxGDJZko0HtBM0hTRrGsgEhs918UOUR9hQ0bl8gDr/e+Gs2Jvzt42fej8lbtwogUNPZLY4s3Delb7zUZmptaZH2WMt70TQb2tCGlqGFLTzPfOYz8da3vhUvfvGL90Oe046ONRehoRbSWcnIP3SDqkNk4/RE78a0BqZy9i1F/1rfBoKclxTyStW0Pk/J58Gmklcsq3S6DREa7xHqciRE+duzpBjMPXoYMDoYv5Ymlsf+16Alu8LG8idr1QCBYdCbDp3p3OZ1oRwtGrTNDESEFgQiK1nPHfZ4DsO9l2lGLbaaGbaoRdMAnelw0uw6i0mDs5otbDczNGAc7++EYcbZ7TbO2drG3MxxW3cnLtg+G1st8H93T+C+556N2+Ynca9zdtBuAydgsHXWDnDOETz4MQ9dz4ogBtB1wHzP/u060HwOmnf+Hnudc0jugK4Hz3vQ3MB0BtQZcGesc7BhcMcOHzG4J8CQxQt9wE5hWqtR1xTk0bLJpXscn2xB7ugrBsiCNmrtNBQR0PRkexgDoHUMlZXHWnXcSfDEQGOAVtCWoDDXTprW+fLMhnFBQ7jsXvfGzGyBsI2TPeH4fA4DwqzZwm17d+LI7Chu2/sqjjZnAUT46vyraKnFVnMEDOCu/i4Y9JhhCw1tASD03GPOJ10mhAZbIArAqucOPc+Dpcq1eb+ppCLDHQz3YPSI+gep4KGGxQYG9ruL9xzK00RsCiwtbjQBPFfNZgkbBoZmVcJO36xknD46oEiGcZlCvqU81mXxi2Ww5dpdE+/ptPHhWY0WBjx93+NXf/VX8Wd/9mf41m/91sxp+ZWvfOXahDsd6Jz2fAd47AdXmuqo2zfsk547dLzngQFR4zpTBxYqnZUOL9sqcikMd5jznoMzLYgIDbUBylQyi4FcnhsRYJixx3eiQYuWGjTUopHN4nTHR7qbJ++3ChDmZheGDWbNzPLwkztWBlExAvZ2zUk0ALabLZ9PSx6WgdFjz8xxtN0CAZiRze98nIs9s4ej7RZmRGgJOL8/inO2Zpg1wD22tnDOTovzdlocPdKAthnnbTegs7bB55w1rJQWIjXnY5QVQ+59FOfTIiedeysPHI4IVp/ifoWBRTAcSRz9zKiipeCHXDxtjHBhAorlRFK5bIxTjhz/yCgBDNvVZy0F85K3AumzLyZQAxzb3kLT7YCxhS1qMaNt9NzCoMFsZwdAi52dHTDb7u9Ic5arD/sdn0XnYY/3QJj5grKr+z2zi5a2wCRL6uOq6sxJVwHiWM3FeIA90LXjk/6bl/oE2A8eUEwZwix4Mi5pE+Kq6dFa2rijsJZDA4eIfY9QSKc416j4nO0ATBOBCq93StlzGvskPcArp66lqvA6mA2f1rcs/cykhQHPxz/+cTz84Q8HAPzt3/7t2gU63ehIcy5mJKAv1RRphxOambVxNMkIj11XZ9RI0T4rjgQ9pfz1XwuiGmcdAYvzp3EfLTvLj7ZQFaxUpPnGZbPApHV53NPKzz2Y4jO8A9DRGtByakCY0QyNa5E9d2EBj3AhIHRYjC2aoaF7gNFZHh7oBFmPNK3rxA1aakBk6/gotei5s+CoMWiIMcM2WgLQOMDVMtrZDNgymB0lbJ+9BXPuDnDsHGttWBcZAzLO+RjsjoFQ80qCSIw9PoKM8Tsre2dldg7KAoYMeUOJdVy2Vhzpp5nJgSaJF9qTjCDTblWATTC8uN2U5d20zjpnGKaxvMkgKF+yZ7STs3qQsdYoahnMjT/+An1AalInk3toZtxr5yio3cZdXYstmmGHWuwx0HGD7caWvW8IPRMM29bXGYZhC5CBFjumt8qFCQbGDWZm2G46GIfqmAX0GPe3xXZzDgx17htWYCmyeBjIarQZzgLIOJ6qGMn3EX/TwerBzuIjfUdVQUf/KqTr7ggWmBIbZ70d3kQ2WFNSVCzSxXKw8Je8lKyjY4el5o4ljdQTu3waFV4qwzQqA7X9JxkLrM5oDTz2id773vcule7+978/7nvf+w7GWRjw/OVf/uVSwtxd6azmGFqyI0GtzLWJuHGdm7VWNH56KCUdxm70azuz3ndq8egrzitYiATiNNG0VzQBFlAI5JgCayo3QfZk6kLCBTzN0ICozWCb5W/56uk7hkFDYrExtjaoxYxatNSC4Lojl5bJjWDRqRwYW02LnWbLTXHZUMMdOsxdHINZ0+DsZhuzxtb6Hu+h5z0wGGe3Wzhntg3mHif6EwB63Gv7KNrG4I7+Dpw1a7A96/BVcxe+5qwGJ9s5+h2Ds849gvnZO+jOPrqe/kKsKskZWv6ZVv5AYWNBDn+0T04J96ofOzAE3QYkqtIT4p9D6cu1Qge1K+Fu6sovR/dTWUN14CJTInjmrB3UaLr8PaK2wblb2yDeRmMa7NA2+mYbvZlhlxnGbKFnxhYdxVf7kyDMsEVn4Xj3VfRgtNhGi2103OPO/i4nTYMG2y5/xtzMscd7sNN4BqAGBGvRYSdrhw4dzwEFR9jXVeO/J5nCZTbo0YG5A5NRNZHWRTr4iC1IRqa6ZO5SQAhHUihZ8mFaxJdFFgNtnYlfTzywC6C4zNm3Zy+XLkfWyDNLVMIsv80QFEdB+bcr39H0r/qgAM+ZQM985jMXTkNEeMELXjC6Snypw0NL9NnPfha/9mu/hte85jXrYnla0AVHLsCMtmx34D6A1u2J1pByRnX/qC5hkNJv1ncdbsRr2OXRWJ3SBHTi89DKKwU9kaIq5BOglBWaGjsd1Eq5BCepXlMgGKn7uFN1o0lmbM8sP4FqosPClJX6yxYgtQ3jyJYFj2wc7CM7jnbnUsJwj60ZYWe7henkPQCNQwWzbcLOrAV1xp1X+TXYPkLYYULLBs12h6M7wFY/x+wcYKfZw+w8QnNOg9k5BLrnOWi+9hjoyFY2rbgwiRWnt5vwcW8tPdGJ4e6aO3syOBnx2XH+Op09gZx7BssmfwZ28z+n92RZunFWHutQbE3jfmrL2DcX+nB2fj1BaeVTqOy3zfHWuN5WeNMwqGH0PQMtoWnIPpsB3DOo70F9g2bLgmGaMbDl7CJG2RhdWyNqwbOZzUheNty1Itpu8JSrHo0T/+er+Gq/gxN7Le64w+DOOaEzjLtOAj0YJ/dm2DMdgAa7fYN79mejMwxghj03s9iZDp0BmqbB3Igdx1rR5qZHB0ZLbj9F5gjayNWcOwf0LVjqwc6a4+IR/LUoe8OMjvfABDTOLMI+b6Ny8G8KHtgkAInRo3e5kkdkUBJynL4EqBUgYGbHT/sqxRxDGo54MZIgxVv/a7NSQItDXvaPRtg+QQHIlGgoFg/E4shHyHCHvb1JGa6VDGhNy9JX57Ff9JnPfGbfeC8MeB73uMcV/Ty+8IUv4Atf+MIZB3jufQTYbp2yYIAo/lQyywdC92YAb6I0hXhakXsXYocitLKV8PAcsM6g8CCLVV7ioBpeo+24BUAJ8BBdIoMmInargm0Z5YBrsJ0OMCD0qgwNrFtG2zJapzAtD/Z6KxyJxOhA6E0DhvVGaBvG1sygdYdik1uV3LRWIMOEeWdHy7MW2N4G2hmBZoS2ZVBD6PYIpgO2dhpsnbWF2fYMtNXA7AF8ssfO+TvYOjJDAwPzlZM4eq8tNFtA89U7ceReO6D5XZgd20Z7BKBtoDnvCHCPc8DnnLtAK6mQMc4peVf95sDunv3rf53dnXjPOixjLoAHfodjv6Nxh+Ck7B2VrbLl3vpZMTce5LhJNNsmWAEeBqITQ6lxphX7vv0B74YAsjyoBRrDAJMFLmwVtnfhIisTSeOQj0AaTeuu+x7omwD6euN2l54DJymcoF45rZ7aLWw96AKciy1snzTY+b934h7zDv28x4nbDVrqcMcJu8szG+CO3cYCM0NgzHFXR7izs51j76w6hoGTPbDnP6tWtkTyxZizwdz4CS8QAT1mfpCibSw9G/Rs0Cnwo9W4wRH/GuQj9pCGGYbtNFjvYof3Jh0DB1cwNX2kdaVABOOsN4Z7e8CriuFq1BnYGNbPXQOu9G+4Nt6qZJwsvbdolSg4O8MdSsu+vMOUwSX1ExBoB03DgKckT+DJTbhuTIsDwDsZjNzQYrQw4Ln00kuj+77v8Q//8A/49Kc/jTe+8Y1rEuv0oXO2gO0VV+h7i03kgxIARwmLW3BTBlf+vpTQffgecPi8OAJMkt5bbQodlQCV1FzcNhYYtU3o+C1OYw+qMmTn+DF6UMuYNW5DXQF8jQUwHgW60b2BwWwLaGeNPW2gJVArCroBnwO0sxbtdguaEZqZsxBRi3Z7B82RbSsnA3Rei62dBgSD5pwGdMSu7qJtAo4wcKQFH9mxyrZWv4uQW4pNTrGTOO+K87JDwsbAbdJnfXisRYiBnmF6DhsKGteW3MosI0vFGWDTOL8dBH8eAMbISi03Tmf7Uqwfh3/THrAI+iUHXMgd7tkQAz3QN9ZVnDr7LnoYNL210oQ2xnYFGbEH04zeI2S7usyAug6Yz0BtD2zNgb09LUId8NzjKJquQTNvMZsZHOlbdHcZ9Cc7NNzB7DEadDC7Bl1vLY39nNAZQm8I2w1wpG3ApkHPLFWNbQL2XP0YF2ZfkVWlO2iw1xOY2Lte2R0BAkQIdosGhg3mbHyZvLsW2KVRKtvVFbupXvlmOtNruBNBEalfdqAhwAJt2QkhIIPOTR/HEIIzoJROkYUnQYqGVAgZJ4PxbG2eIZ8yGKqDK07ieZ6MLH44L7PP0pS4APGAUJq/B3NrW7SwoRL93u/9Hq666ipsb28DAP75n/8ZF198sd8O584778RrXvMavOhFL1qI78KA51WvelUx/HWvex1e85rX4Id/+IcXZXla0zkzYKey033UFXBusWkaNx3jUhuEjpI5Xk/g8YECIUNWSXfMIhpy1hsBG95qE3cj3lFV85d7RqzcBeg0jBkYs5YxI3bWIdu5+C1THJPGddINDBqF5EQRbs0Y21uMtmU36LcWIzR22soDHljlOdsGto8SmhmhQ4vO2OfUEqhpADKY7QDb587QMaHrCc1WA2oa0KzF9j2PoOtnYLRoGkK7TSBmUGfH9NQwGu7RzBhEvQU9R2fAzswDnrVQQCC2SryWM1AaMH5JGQ+E/XX8S/VQ1aV304eGwlRVxE4AD4kLFQyzai8E8qDIHYFB5Pxv7YRJSxyGxRTyhUxJMNv8jdpkUOJAGowL83vxGJDpwX0Pcqu2ZIVMUEJxddK522jnDcycwHsGhBaz2Rx9y9hCD54xztnqsEuMviM0W8CJO1v0htAb2ymemM+w18OGuapvibDbAyd7ctNYbjGZrsMZsGuAuWGEV+JsC27aKzh/O+AERsdhfVQMSaRP4FBVUnYG0JCbZmIYY5IpsxA34RgBFY1ld0iaWueAXJ/E1eAkhkzheQqDoiYGvTCDPVwsgRn27zQtSXSfWoAozt0CZIril3yHgpUtzScGOwBANOzUvV/kTzu/m9PTn/50fOELX8C9731vAMCDH/xgfOxjH8M3fMM3AAC++tWv4tprr91/wFOjxz/+8Xj+85+/LnanDR3bZuw0FUUENTWkrClAPIPqJxKSdiy3qd7T6bShpHGWlQYcuTaIlUXiabAkVp1oTKdGlxI3+Mow2gZoyfrAyPQUECw5lIT5blDycaDPHo3kpqwaAI3jIdMljQVPPSxjbgntFmHriAU61DpA1BqgIfRo0blDJbfObtEebUAzAmYEboC9vgHaFtvnHwUd3QG2ZtjbtUvzt77mCIiA+f/vJNqjrZX9rj3QdgOSje+2G/syZ/a5X3ayCHH4Eyl9MGB6MBubX8/WmuNO7pQRtQc9Jv9FR0qAoj139J598UpvinCG9+lx19KtEyEa5buZLFsFDpl3bK16FtGzX+Ju7MInNDIdxAB1gnUYaBnUE7hlC2r63k4vyeGonQHPO2vx2ZqF5eryDhQRA82xI2jRAj1h1nXAbXcBRwFzB4N2DPq7euyYOW7vGTNmtIZw3LTYnbd2ZTw3OHfW4fjuDHtGvpgGhoGzZ4TOACd6wtwBTWfT8oDlqKvvPQPsskwjCvajCLTItBhYjHZ2zWFvHBxwyEb8rSSdHUjIvfu+Wnl/DvgIwIKB8dYWu3osBTEpRGDa8U8cB89L7rU02rYToEXgVwJH8Fc2THJQ3lKAzxMRxyg1hX6Qo+elMG2t0qAnIWOKckuYWfS7XxPZ2lkPn8NMKYgdn9acRmsDPO9617vwuMc9bl3sThs60gJH26Akas7GlrgQFgJK31AxzMePAY9MO8loRMCKzASleVEij4CRiLezDMFZinweYnWBgK3wDDJ1ISDIpwGI7BLwtmX4fdla+/NTXY4X+X3bjAVDW25KqgWobex5Vg0BYtVpO2DWgHYAmgHYauxvxkAL7GwBvNMA2wzeZmAbmJ07A7a2RFOj/fpzVGWdVaj9Fcn04cTz3V3Q7kn3dxc4uQc6ued8eDpgdw7s9cBeZ08fn/fgOYPnsH/1ieUG4I6cnzOFaS2/PN2ODI2z8FiA494yw09pGaVJ08VB/g9bMCpg2b5v9kC3aYCG7FRN09plzk3DaJoG1DKajux05QzgGUBzRrPFoD0AW2x/2z2w3YG25+CdGZrtLeCOu2B2ttEc2QEfPQLaORKbIp3Q2/cge7R73wO7e6BuF+A98HwXbPbAfQ+zZ3CPbQPT2eXp52xb60bXt+jYLoc/d6vHbt+iZ3IAwjo+y0bOe6aBaYKlh2SaEA4QEqHtgc6dHeawaGT9NM6aJti5hV3dPxclL9Y2iOqP7Q8ykBCFYKduKHaRYrHUwKc0HkSk6lz6BI7ysBbjAHkaGOgpsxSY6PTBUyyWXVqgpLDrKQ0MWpCa/Is3TFUAhC1M0s9iC40OC70veT6UpfMpmybwEkSqwFppiv9UkP127/4Wnv2ihQHPk5/85Czs1ltvxQc/+EE87nGPi57//u///mrSnSakOyZN6UiHks8xGmjU2jAVL31IlCXb6R+GjDotc8Mhr0YxYh8rgBsPYJwik+glR3VmN8wHozfBCRk+PFh7xDoECk7Hoj3Z9cwGQZFC2JAFK+Jz5OurZ2tacBs0MjGIGjutZYWzCk+EatWo0PSgrrOrfri3Q2O3ugi0xv11aiTWGq/1GJAVWtLB+her3rC35nA4TkI/c47HsreODEOlk9TwWG9gptVO3ISVcxrDKbigoOCvpKU7JccAy9JrFoUXYosZSWbywonqFhioBe+qbK6+xHmm6yzAJbJg1W/SyM7RuQfmPbDbgU929m/XA3N2q9rkFbi6MQ28V6qrKwPry0QWm0fGNQb56d5GQIYTTV4pu2IQ25UA8m2Jb7buL9hZgSR9/L3ZQQc7WSx/rdQDD19VEN8hqXULgdh99Y1bt6gtKSlJaLSqzL9Gcnz1u2o9uIHUUfTudT6WcwBAAufgQyR+YsOD7zDJQrsAgAgayMSeSHn5JHY6RSbfZz4piDjehk47WhjwHDt2rBj2zd/8zWsR6O5EKY6J73VXkX+S0jnqwAwXUcodzgdDJ7I9bRhpOQWjwA35zkONlTjI4aUjO4r1cxm+47HPZQxHMrrXU30iAyverDJgUY4iFAfLlDh9ij+I7AGj+k8iWQ2kMmDY6Y9tVSjRRG6qiMyW3byvAdQyjP0j8R+QqZu+A5lerUay4cYYkFPM3MOtKLJ+GnK0FnduusgkRWP4o6dM75S3sWWTVXoCgML0VmzhIXKYMpI9bCNJPXs3HWrY74kkOJbJmv1bttOJDRPQGjTKEtGQtU75tgVnzROnMergnvopBPL+F8aihpbCd0Bw9n77jGQV3HxuwU7PYRl/x3b1moH9ywi+Ee71MBpfT+zrh2C4QbSqTWFAa42RNIh/qlna6PZ7FJAzpkY1QPLfqlu+7cGOTiCIs0jhy9Z9kvb/SSDO0iSAOHAWHyw9EVaGJaV6KUEz22y58FBAlwblIg3y8qn6CnDN9WvIa+xUk4x5VqXTAbL92Z/9mccbxhjcdNNNfrPj2267bSmeCwOeN7zhDUtltKHMHpOv8lGIRvWhk0kDIkbwn9F5CaBIZ9pJWWWm5qE7EG/BEWDiVqrQVAzhrDkEOEdYuJVraX7KzBN2HfTOs345hu4pe2OtPN6Cwn7HYrtW2wl5Kg7EZQREIujEON8V0Yo+PHFc1r2d4Domt5MyAW65OYu1B3aJvwAaE01lxUAHfsQvViGXR9QmyP8bHJrZKf6AVhmM1lsUnIwyrWMc+DEug4Z92dhYo52dh+mBvrWWOe8d7OqksxY620hkHwX33o1RdWWAvT3w7txae7oeZm7AHcPsMWR5fteHuumZ0HGD1K5g2PoocdIa5a892zX9whMieW9K7bs23nMURbWXmKPfh0tYOlBDhbQZr4RY/Sf3dkO9AGanUDQoggYRwecnxBXwmNt/liVOLrR1KJZMSytgUNdS/PcwWnjWdpbWaYB40g0If/zHfzy6Lx6DNEKTAE/tjKgNJSqf4o9Cf0rhE1dpWSlz0jcx78xKpBiLhYgh6i2oJVI5ilXHM3FxouWmrKxAcEYPSsVyapGCzwaJTKqkVsEC5FbkOF/iZLUX+w2GxDoQFbx3nTDD7djrKriB9dmRe7ecm8muzgI38W68vV1DzS15MwgB7nDOLaCxo2QyJt4ZOK38tRFbECaoxel8ipw73EsyxlmjOLy3ZFGLx0NirRFQ46e04HdNFv8dI/vnMMDOIVcMZF5KB6iA8G5YZ+0AEzkFTEZ8uchZYezRDQ0cCHON0/QIzulSZNf2AlghP9WHtgd6slNXXW/nRDsDu5NhD6AJs2/GWX6Mc3be3QN25+CTc7t/0dw4/yey7lRzWa7v6qW3x6+Am2Alg+BMUm3dlk/8a4xr9v678eABLp625ihgJIsBEL9i1VKi/X5s9YSv3vYHBCZC49p1776Z1BIgCjy4BOu36QVyoxT33kAKskSdjmoP9t/YkVkDhpQCA8lDprcokiuVLwZo2UfgrqmQdw4GSfVtoc+KLDqsOXHC7WBIWxvvzmRM2nrXQ5MAz0Me8hC89KUvxZOf/GS/Lr5En/rUp/DKV74S97vf/fDzP//zaxPy9CDRWlGItkcUPrrYla/WjLNO0HWspBBTxFvAjRKJKfLIqMqkJe7ZLdUmwRuynFhLzIqJ6yiIAkgWjGUYxu0227K15sApYmrgfU6odeEyNdcTjPPr4ZnLvxefHXiF7NcJW/ODcw4GvKNFZ0DUgcWKI6ank/YEbNqaubC520DILRVbB+jR5131doqF5nugu+6yTrUnd62j8tw6K/Ou3WyQ93r3M9YisWfsxoKd3UyRO6DvGNw1dgrGwG7caORepl/s8mr2Vh77Cz4pASbLlAx820wLz2o3bPuuZJUfeQd3oHWAuHGr+YgYbWOc87JB0zH6xjqvNy2jmTGaGcAzA9om0MxYJ/UtAmYNeGsP1DYwsxY0a+xKuZkDQd7By1q70BnwXmcdvnc78K6rw5PWsmP2YJ2V5xYLc28BYGfIbocgIIzEZSpeIQUHZvyJd/6Z8h/xdRIwrKsa9XmyB5kCpBpy4JDLcKQGITRSbQA3nQi11D08131SzjnPIQzTrFOxzcr4XaLDL7aW6FaUwwnNX3KRHlFWkgXfoRL4CbeEuJQhbl6aEoApATRKKkqkq/Hd0OlAk2z4/+k//Sf8x//4H3HhhRfiaU97Gn7t134Nb37zm/E//+f/xOte9zpcc801eNSjHoVLL70U5513Hn7yJ39yLcJdd911+PZv/3ace+65uPe9742rrroKn/zkJ0fTve1tb8MDH/hAHDlyBA996EPxp3/6p9FzZsZLX/pSXHTRRTh69CiuuOIKfOpTn1qLzEOUd156nVRJucTUqB8BbqjpOnr11/4ap5rInewshyW6NCo7SdkoDk3jNhB0C6Fk9YdR/O02543bZVmbWhniYGNXW9kVXW3jVnq5XFmmn2RmyRkzoi7Frd7yG/1KRp1VbH4KQ4rlHDvtGl/nw6FswGTYTofs7rrMelA3B+05wMG9W/a8xn02ZIqq64C9PZv3yV3w7hwkuyrv7gEnrYMt79ktfXnPgPc4/DpYZS2/jsCd3T/GmAZ937q/hN606LlFZwidaWDgVhtx46Zt7LvsuEHPjYtn742LZ2SfGPanX3hg0Blyq5cCr54be+1ejc3PLuOW/UPsKrEGxgGzsJosVL3fJbqHXZ3WsXU27mBXqu31tp7u6sAnOvCdHfiOOfire+Cv7oLv2AXu3APu6sAn2QKdXQsUeU4wXQvTEUzfgF35e0OAOy2dWYxEzvairI+2adlyA+Q/wXDahZuucmUXuNBQ+LXkVrLJl8fB/0pmNkHWYboh8ukIdi+glijsvC4Cs12c0BtWM4DaaVn5X8G6Lbdo/H/xQcYWaFjLloHs7hMtD6fG87TpW89PDka2JZyBrIcXfIejAIyd9DII+0aH5e9hWEWep8jpzwn0jmPWMkXuXDP5NaG39BSkiP+zItlRGLM7ANlvcKWn5g7OxqJmwVf6LQrY3vve9+KJT3wiLr74YhAR3v72tw/Gf/e73+3fj/7dcssto3ldcskl+IZv+IaFf7/xG78xynuShefxj388PvShD+Gv//qv8da3vhVvfvOb8dnPfhZ33XUX7nWve+HhD384rr76avzwD/8wvuZrvmYKy0n0nve8B8997nPx7d/+7ei6Di9+8Yvxr/7Vv8Lf/d3f4eyzzy6med/73oenP/3puO666/Cv//W/xlve8hZcddVV+MhHPoJv+ZZvAQD86q/+Kn7jN34Db3rTm3DJJZfgF3/xF3HllVfi7/7u73DkyJG1yQ/kBoIwQqzHEVr8o6pYi9wQkpQEcR7sO/QwnhOjfMQoyYcQjP3w8A3OvyPsxwP91Pd33lrkRsNRnyh9mErjB7FREdwo2rlysHdaDiNvz1s0q9sNWHaN49aZmWQH48aAqYnyXqmHYwCmt87Rxvh9fZrIj8fWG7tVRixOzLIfDwNw4IAdgOCeHAhprHMyN26T5sb5y4glp3EdXaOsOg2CRYL8ZETY1IyLxY58WJzJP7wyu8GkXRXIrjytdV431jHLuGuxBJEhmKZB405Yb9z+O+Qsc6zmbwk9mO2+SNyw9d/RjvF6FZf/GXAvCIxsPRm7al0AmBFABgAcW8G4wFamv4DQFKXZhZVW9UbD4PDKEf6OKiFXFdpBuTcmyKjqwfPz16l1QsCGPFUAIGr4KuMKFT/LuLQKVsRWmyDRoiq4IIH/E0+taU8h7a+U5ekPcq3mcOBkpV4H3FqMx4kTJ/Cwhz0MP/IjP1JcqV2jT37ykzjvvPP8vWwkOETLnthw//vffzTOQk7Lj3nMY/CYxzxmKWGWoRtvvDG6f+Mb34h73/ve+PCHP4z/5//5f4ppXv3qV+N7vud78LM/+7MAgF/5lV/BO9/5TrzmNa/BDTfcAGbG9ddfj5e85CX4/u//fgDA7/7u7+KCCy7A29/+dvzQD/3Q8gJHTiguKI0CbSJGolTjz0rflc3AaaywN0oKZPxGgJKVSyFwxX7kMm8PkFrirs/PsryCD484rlr+EquFnKNDzodDK6Zovx7x4WlV3TBb5WQY1HLYj0fkbsjNODkDpfUmBc/gz2giVUncGwAd7MYvVia7M5w7DaeVFXMM3ppZedjNs/llR6rSSr3foE4IQMZOtdmVWCyyuFEk+8NC1TBMOZHIUnT3qrzfr+y1E6axoE6nCFM0liV5heutC4g7ee0nraoxAsA5iA9VINYIZjsValw1GrbTLOI/1Bg79ULi3+PO1JLV9d6xxe3zaDc4dA5A3MKaBZUkrjAs1r8eYSpwDr9vUd9ZXx3T27PbtJWpM+TAoB3T+1GxmxK0FkQOdSevh4Mi8q5iql7juGJpcVabhu37stWiBgbsm4D9q9W0/bdpGusfRK663NRxo+LHLdECApNwEs5p36ShQ+5irOFDgE+BI0exLOfGP4fnKf2SgKH8YxoGSBw1YIrihbLYMgQrV+CnpGTdP8eHdhwGWpfT8qIsnvCEJ+AJT3jCwvnc+973xj3ucY+F0nzXd33XwvlMpTXukb//dPvttwMAzj///Gqc97///bjmmmuisCuvvNKb4D7zmc/glltuwRVXXOGfHzt2DJdddhne//73VwHP7u4udnd3/f3x48fjCOFrGaWyvuTBVhgpHzFesLagqJGWV/jOB0fCor0zEv4UOrjUstFz8BkGbIctK4cNsTUyiwMzxUytHwTbLXPEaiP9lSH0rgx+JTKApnE+Okxhvxlmv2qcYKxDbmulpdYJ3juhKdlieCaVY5c52/MDervhIO8BYFDTAttbNs2sBbZ3rINHq3x+rHChfNQ4DZ9WpkciEIdq67ezazcZPCmbDLrDQk/uAnfNgd3O+u6ctPvFmF0Ds2uVtekIZu7203PTMb0h9L21RHRuWss4PxRmdxArw049gvy0EhLFK9OgsmqoZI2LqAnWOQG7jREgGw6YbeCOT2HGDI1dvs6MGQzavkHXGsx6wqxhmNagnTEa487e6oHG/XhuQA3BtA6EN4287CCrA4TsUAUbdv5Oaqq0s0eM9HM7nTbvG2/l6dwUlPVzEosPuemh4CjqASJEHSaAS8vkYYJqMghg0KtwYeO+Edt0cxtEQ4R0/x0dh+XDdwHelw5adWu1n6r80I3pmHpiTPZiYrvFdAIt9BJwzRUD9zqVlkpf58AlbIshoaTilgBTTimYsY7Muh9u1NsTnyK5PhwA6LDTpZdeit3dXXzLt3wLfumXfgnf+Z3feaDynDaAxxiDF7zgBfjO7/xOPzVVoltuuQUXXHBBFHbBBRf4uUP5OxSnRNdddx1e/vKXF564jy18iYPlSLpI3yWKGbmGl4rhRNEnr/kzELbLkTx8RygAKIAMcbAM+SnrEAJYQpaj+vidTT/swhssTvB52fn3SFrRAL7zZ+8PYf13ApCUaB7EaSuMFA5w5zUxwuaJTkYDq517B5iaBtQZ6wDb9aFS5p1TpAQ0LbhJVirqpXKRcEC85Dw+LsKvEhNHZgeKjIvPLo7pe3fauVvh4/xn7N4xDswYgI31zYHco7HP3ZSMZdckS9LJWXVIWX2U+IjbaWbiN6pdgCLf7rAJoVM/xr7trnGgiOGO/zBoTWNXFAk3hXobY6fyuHcc2bZfsmaMCJVzQCD2EcPtVeSmpcQxuW+sH4+vjwbBkdv6vMkKqN75GulSAc5vyYFI/VUGlet8nRBbclg1GXEqbpj9SvtgJdLqV5iz/zQs6AllD1YgDiAqAUsauISShHz0VY/e+euxsgJxciX9QdqbpSRxbIOxr6kPbcNz1NAjlTyqiZi1Bzm6lBSSqzxK9zFoEaBTckvOLVtFmU4BrW1ZOoD5fJ4N3Hd2drCzs7My74suugg33HADvu3bvg27u7t43eteh8c+9rH44Ac/iEc84hEr81+WThvA89znPhd/+7d/i7/+678+kPyvvfbayHJ0/Phx3Oc+90GuHmIqPQnKQYi8Eq/thaND85z0CCiMjcJ5WmH5uO4oAPjVKIRgDYrGdJW+hsiCifSUdYb1ibBWG6vEGrDfIgeNYBoxw4tliK2lhuB3waXGrtdoAL+oyosjuogB7uzUl9+8x+7r70Ef5j141lpzARqQsatNMO8UU6s8/H4uLg/x5SG03hovIDVCmcVX4iK7U84JYvFhDw6jOSUNlOSxHBvhHvlVQbLnjgAbOToCahWW3zgvgJreFThYd0L3LvH0vQeXyfsPcTjgFA7+X0Rup2JmN1VDzu1V1oCR8/VpEA4rsO0Ergoa8WlyfJSQtp0ovchOr0pdoSe7waAhuyLLASCZwuqcdac3wZk/uP0ES4+Awh72eaQ/EV6f9snRm9h4/xwVz1+D/LdEhXr2QEaaBxBNRvlvFGGiyCTp82bJnk+AFxGUgUzwNhE/5dyrQIpeih56DX0WFqJ/9UL0UGINRHLrTCQ/63xKoCQHTHHbbVS4NBxEMWL7zZrQxdpofcvS3/GOd+DZz352FPayl70Mv/RLv7Qy7wc84AF4wAMe4O8f/ehH4+///u/xqle9Cv/1v/7XlfkvS6cF4Hne856HP/7jP8Z73/tefP3Xf/1g3AsvvBC33nprFHbrrbfiwgsv9M8l7KKLLoriXHrppVW+o8iXgzE1e5Tch8+8YCfhEKealVheImdkm1jnZfRzDvll58CILvHWHtcdcchjJt2hMmYQgn8GMcJKKq/23PJdhnM+NWh6WHBCtswG8CdEUO+Ajd9EzgpmDNnpkEZ1iWz5sBq7gg3IELgxftrM1khrwQ23IHR2WmrmjhIQgNF29hT0vrd/u5ldOt60dgplNnNHVLhPpm0B6qRC44qJPFgNYOxuytQLqJGdlXtrSeo60G4Hs9sDuwZmblcVmT2GmRP6OTnfE6u4Td/Y47jciiwDUdyNw1OywspNzyCs0pMzndjAnWovEDdYC4OSo1wfuAjBN8xGEBctAqOh1oJntz1O46ayCIy+sY7NMyY01GDGxvqctIwtBsRhe+atNmT392nJTaHa9uLVmoAcd20U6NlFqqMAAKubSURBVDF963dS7kzjAU/vLD9dD/Swjt4CdvRp1Aw5h6oJ1jFl9pK6le/HJ0pUrGwqWFad4Rtt3K0R/oU02oIGyd99BXADCAFS/l2yhirw8eOJowB8Qh8koIfVNdwmkqwGZ6mVRtu7dK5pSXyPFMUVT8IASxQfX/waUCkNL8v3duxXGD6ytioxYtlsysMGg5ahJz7xiXjTm94Uha3DulOjRz3qUQdmsBA61ICHmfH85z8ff/AHf4B3v/vduOSSS0bTXH755bjpppvwghe8wIe9853vxOWXXw7ALnm78MILcdNNN3mAc/z4cXzwgx9cbjm997BE5UMskCCQJHawwAwkiwJCx6yfhXs9ghKgEAMXQHZITlxRKHQdqku1o3JnEQKrTeOdIrInntvOUPYi8U7P3qwlgIa8prQb04U01ik5/A1FYTBbJcgE7/RsHaDdEuIe4h0LdNZ3xJq73FQSwbrzyEaFcpy3W2ws8jFay7dtLa+mtZvgEYE75dMj/j2F98VeG7tCik1aDhDtDLDXw/hTwQ3MLvul59wBLA62PWD6mfVDMc6Ph63FQqw5vaw8YqfMBfB48AOAw5RWsBzYe2k/Qf50vBw1X4BcG3CB2uuhNVY5GkP+KAkYRtuERdKmJxi3as5+SmRfhbQxNfsp4Ms4ICs7StupP9gpLBdmnMULpnH+TQBz4/yaXP1ZEx70cRFylIT49HgBiDyg6gG/5Fzee8NuKTvEQhSmHhpXP3ojcClMh+DqJUDTuPyCe6+oWQe6nLWM3Iq4aDoLiKe05HuPvmJxFW4Ub/mSexgKR4sGGJTYgfyWGNIYArARki0pA0QLE2Xpdfxv3OLCknZBYrrHS6e0XE2x65egLTblabQA8nJpymDt4Jali5VwVWIGtra2ohVU+00f+9jHIiPDQdDCgOe7v/u78V3f9V142cteFoV/5StfwVOe8hS8613vWptwz33uc/GWt7wFf/iHf4hzzz3X+9gcO3YMR48eBQBcffXV+Lqv+zpcd911AICf/umfxnd913fh13/91/F93/d9+B//43/gQx/6EP7Lf/kvAOyH+oIXvACveMUr8E3f9E1+WfrFF1+Mq666amEZ888zUO2j8E7FSWRGGDSVeGVhhekv8p0Ee8WUup5wkrlxDoDGW3g4m1mLN5lzcYgDOHFx2PODn+pg98y74vhVWgjgqAlTcNb3wjnDtk5ZtKoCCN6nxm40R27zQgNqrWILSpnB895NYwHcNtbS0rgpLXaARc6zkoo2PYAte2Bj31tH5sbALoVWIEd2fG4VXPQVTtGtF7/WaDzygLdu9e7cLNPD7lvDFpgYI/sghc3ytAXHyD5Jjl2v2MfTFI3yqiDfnrWyTIn1hYBuhp2mbMgfqNnDKvmGGcZZ7YgaNMbANA16h1obZ2mbcWOnbNhNixpC29v2waxsG9Lj94AclGrcVKY9O8yF92rZuTtB3u5H6QCPm87qBBhy2FvIgyuw89uxp6VrC4OASb1SC7AAxy04CzOUKo7f0YXlu4mtOyTtVoMg1outOQKijXsHfvqLZPWdnvxhVx4T/Y0hgAUNDbuDX9VT8k2T/fv2DsxRL5ivANNwJzgC216ElGRR28rSuXsuhEUlgbrPKd8PCG4QGECUhv1S65RyXAPoWIbi7/fU0R133IFPf/rT/v4zn/kMPvaxj+H888/Hfe97X1x77bX43Oc+h9/93d8FAFx//fW45JJL8JCHPAQnT57E6173OrzrXe/Cn//5nx+A9IEWBjzvfve78fGPfxwf/ehH8eY3v9nvh7O3t4f3vOc9axXut37rtwAAj33sY6PwN7zhDfi3//bfAgBuvvlmNGrlzKMf/Wi85S1vwUte8hK8+MUvxjd90zfh7W9/e+To/KIXvQgnTpzAj/3Yj+G2227DYx7zGNx44437sgcPUAY+6Rgh/gTz8CJ/Dp+p6B4Zw2k+pKw6xIyWsvUlCKOjcjk4bHSjyuW6jx7OIsSYtTFvWQ4vo0rbZ7n3ZZwiI/ZTLE1rgJksdw/AR2aIYMIAjxsGzSj4Bbk6od4a4eE2IaTZzKKGnkF7CLvEbTkUJZU3k6XoHdC2oK63I9mG3BQWWYVOjQuHO87CoTUJb1ugbazfELUANeAWoNkW0HW2bowB9jqYvTlwcg7c1cHc2duprF1Gv2tXE/VzQt836PsGXWctFJ1YLVg2+2v80mlr1QkbBvpVR1AOyiyYKqwmMtz49xraTmy61/jHA1nlwAw0dsoSgBzmai18jNbY6xkxOmrQgjEzhFljJ2FmANABO7AWoBnsrsw0A8ivc4d3ZLYg0DpwC6ixLlKts+aI1cbtOs2AcZsuisWr48Zdw23I6M4T42DFYbckTawt/sgzVwnKBmQNh8YaLtnI9E+or4blr/0WDIDORBM24XtzDCVf2cpP4Id8hb2z8EheDFdHCU+BFo2TNrd72OsOnXdajn12kpZBUmKZmgq2olbd6RbVowf71XUlDx+dRk+sJiO2LK5Atbj3DIO2AF5MJKt7lm4Hop3DEmmVUAdCYoVcmc+C8T/0oQ/hcY97nL8Xf9ZnPvOZeOMb34gvfOELuPnmm/3zvb09/MzP/Aw+97nP4ayzzsK3fuu34i/+4i8iHgdBxMwLlb1pGnz0ox/Fj//4j+PEiRN4xzvegfvf//649dZbcfHFF6Pv17hD7SGm48eP49ixY7juwf8WR1p73IZdMJRX55TmqeOk08q19N5/IkoXvDFiOwMAv/V/eK7jaCu1WIj8T44IgB2Wemdldy/yyAnpwk8UHty1PWJAT1m5ZyT3To5GbV7opsmaGQEWP6itZ+0ydnu+lnu+1YRTtH24DaOtmZsGo+DLM2vje3LpWze34gEPnHWHfLiR+8aaoahtrBWpnYHbFmhn4IYswJnvge48CfrqHaATdwInTsLccRK4cw98ZwdzVw9zF9DvMvo9QrfbWL8d06CbN+hN65efd8buatzD3bMAmODLE3x4nMXHaUALfqyKCBsRBgp+KYXxNqdtlJxCtqSnRxvXEBoXPiMDInvsREvAjAy2yGDWMmbUY6ftsT3rsbPVY2unw/Z2j2aHnM+XncY0hv05WLJqTfbRsb45rbeCydEaskM0o7GABI1fih7AYWPjImwu2CuLjwAdOdm8Y7hpsdjC4/N2ceVYL9nTx/uoQ0AYKwAa/vbOR8gDF44ngPTydOnC9Q66wdk57Jgc1L7ALeGvp5nYgy1tBQrpFHCgYC8KbYSBDFZwxCcFOcIzBSLCy3gVFaaHS4AqDjXZ03CvnhXATSyZliWQMXPcdscncfvtt5+yaaEjR47g5Zc8Bxfu3HNlXtd9+o34hd/6FTzjGc9Yg2SnDy3lw3PRRRfhPe95D571rGfh27/92/G2t70ND3rQg9Yt22lB6cisBE+4GAoVW1tN4pG00z2Rf03KKx7IUBbB5++UmOwh3FAisRvsyLLyOC9nGXB7+/gug8hNVTleylG68XN37PFJ8O11oKF300jKF6dpVI1qVAaouRkOoEcXgOGG4Q7wtORltkPq3gIQl5b8di5uCO46cvQE65TcOvDUBVDkQZ7d+h9t6wEPz2ZuHx/Y8FlrLUwgYGvbnh12113WcrXXgfZ6mJM9+KQJYGeX0O05kNO36HtCZ1p0fQA6xh2HYI+JgF+hJdMyYs3pxZrgw+CfAVr5hpYo7U87MkeNqUDkRvrBi8K9c+Oqmgk9WrTE6Bzo7alBT4RtGKBxQIgZjN6esbVDaI5YEIweao8dOMdtO4Vl/B5EgCw5NxDAE37RMn2EKUCWupPySRpXB+AwTaWtZWJ70FaeHgIyVN0R/MENBuw3FzRgF1/NZIoICL77ViSKnLVlWXgn1h0BrsoCy6z7FZKUaKWs8r6d9AxG5z4w41dDsd9LK+qnCAAaZ80JVhex70prCnlIiU0SFsCEg21ZQwsWnjaxxrAvJ6J8XaVHfIR7F+445pWDKC1XnOdBkbSRDS1HCwMe2YtkZ2cHb3nLW/CKV7wC3/M934Of+7mfW7twpwVpxDMSreTbL2CkagVyulVbMYVLU0NSbppICyZR7UoT4zpfS1H+xFE/IOEzKliOBEXJv6zzsb4S1rhD7oRs2zWKQcXHVvuMWLcOFwYCmMGGnNUHcpCzR4Z2c0IOqLB1Vh3pBE1jj2dgBjUO/IB9hTIxYJzDc2MA0wYgJRq7F38dIEwyuJrwhyRZ3x7amoHMlo0hB5LKCi+zBbAB33kC1LijHUwP7nr0HcN07HYBDr++g5vCgv8FkGOtCJ1pvN9J760Lztqjl1gDXjnaqS3lt8MBsAuwlXdSdNFMmrIHO2JFhN2VuHGpG1gfsY6dwnVHSRgHDmxbbEFkMGsI24axNQOaIw5KdWyXmsPuSizHnfV9ADu9HKkhIMYBwXAtli7x+3F148ocLDROwbOTU+rEt31bxrnUo64/TuqDHUCLgGR4B+LQJ3758twwexd6Uc4RPODwt/GAib0fnFGerdaeE/vsIPubQgP40opPlqztMg4QiTNaCRYg4i6TcNLTCDiRUIlroId29qmcZ5XnUfbS4ezfmCiEJ3tpxSuzKCzwKOS02LzI+uigdlq+u9DCgCedAXvJS16CBz3oQXjmM5+5NqFOa7LzWig1qSo+KYRR+lx/o5WUGmyA07gqfyYlC3srkhdfZCikz25UWX134fN23atXAvZfGyaBykHa9f+yLJTJWIsIMfSmIOwWV8nRAwyLK6RfpNaW0XuCkoHdt4ZBTQ9/BpN+V+ycL6K5GPcTF1Tpr9U+K3JKtwVabjWXrNXvt8PJ63B8t7at5cf07lRv+8MeYOaAmRO6ubXudH2LTg72dL46HYLPTudWaHUK7HhLj4kdaoEw5eGXpnNQ1oCbykIcJunGidxCuGA9IDYONzpfF3cUifcrYvsu7XuztoKmb7HddwAI7TmM5t47oD0DvqND3zGwZ+NzB+/bZGRJvpFyhR2m/ZliDlTJCjbZfVpvxOgdwoE4DAEsGjdSkDD9zN9T8I8S8CLXkLjS7FQNZiP3JJ22QVjHZHtnSN6XvQhTT0Ht60mrFA7oeDoPUmHSYcQwKodIJY5Q/5amotjBqNwqE3NL09Xu86m0GjfGyGWhh7VUHaDuM+n2sKHFaWHA85nPfAZf+7VfG4U95SlPwQMf+EB86EMfWptgpw1p8whDoYTyJxE6k7zZTvmIPE4A4Lf4L6QXpSX6Wchu8ZaAnChtAEM6vfSnwRIUBBLrk1G8LJaIOzDDhJZsYm2BkrOAyDiwIoZx6WSZwMagVbVmnZNhrdyqXqyGcl21aAJyzAFw38KvaQfZZfRyQKezLJGef/O/9EUkFS5WnnkLbHd2+XvbgM86GzybgajBzvY2zj3/fIANmjtOgvdmMGbHnkW9xei2CfNdQiegp59h7qayrFXH+vCEqazGLz2XDfNkuspO2YjCJaW4G+/X4S09yoLh3wqrdpQUPVXMfkWgVIXckZqphFEnhjtLHzFaIszIYNYwthvGkWaOs2Z7OO/sEzj/6xv03/Ev8NVPfwb4xy8Bd3VuSsvVgXNYFgdudtN8ocwK0LCAQvh7WVquz7hidR/qB366K60nkzQM/Vw3lUgFS90q/52ojv1HF0/3sGSgotkBginmqYcYNix+kxa7xaAg5xQzlYlLpqhEKkpdHbODUDHQEklL4AQIk4nlp6EkpTKSytVxGDHNcFL++O3WetsNnS60MOC53/3uVwx/yEMegoc85CErC3TaUamnmfAtxCoi/iinZgsOJmwflhABehU43CDcy1keUyX3DLQcCipgxIO3JoAi+dnOOMA7yccwAOPUhBqZ2mOpXD2wdPYB2MnyY1Koip3Vh2S5sCts31tFCmcZIsPSuwNw52OJbD3sai9xcgb8EnP2a/AVcILShikJ6NlugblbrnT0KLC9A95qcPNf3Y6//1+3wOzOYPgitG1jrR9EFmRB3gl57NzMYJ2tnRzOcOanB/17JmuS9x80x+9QGx3T8FK7YXXBUlxSz5TSllsbj6L0uqrYxRfLyUnHW07c6Azbc1U7A/PlHvN37eH7ztvCOfc+D9R8yRrFOmA+B7qOMO/tCjYLXloLQIxYmBplZQlTVn0CggDrgAwEtRo2awQ619g8wFEWLHFkFgogKa7D+MiICuk6AsCm94A1eycVXoTgzJySye1HUVgON4bcgmWKrNxrpBAo58nJ06EWGBysy8+HeJRkKD+rA7U83PrEHYwnjd4Yc0OL06HeePB0ILcaNqZFkAvglf9+USaORyST8ZmjMBMfsXO9tN4oTsZtaWoAgGncCFG5OxoX32sMpTiN23NHYQ7/a5NCEsIGMMK8V9etvQ9qzBWAmyA7yy4qUINHVVMm+E/4wuv8Zy2wNbfL2psWOOtszDvG//vO4/jSbWfj3Nk2dmYNtpiwRXYZL7kN+WRGzY/eoSx0DO+LzQ7kaQscaSkLRildpDQ4VdI6f6n3VGmzyqykZyPQ5PbS0TsT65/8awDMAdwFxu3Ywzv/8qt48r+6A/1dBuYk0O0S9uYN5l2LuZn5zRctGGmgLVYBbIljskxzyZSWliEAGT2VBR2HSy61eT2mQEHXQxruLUc6PAFIJbCUy5YCgFiu0oAquBbLd1gqQZkrqX+Fh37GSUx7Fd7xdKpJX4qniZNnKQyb0kkPgaqDAR21t7MMnzORNoBnzbRMQ2IgclqMaOC7ijYcXVKehT7bBIhkXYxyeI6NvyEwdLHBSuRBDME5N+dpLfBBcN52abwvT5qpcgngJqwesuDHuEMoVYctGwERQEZ1kGIB0Qqlc0N78XB1Z2OxaFhZDn/iJHByDw0z9nbOx+f+b48WBr2xjreGLIsGcBYeq3pk3+eom2YL+mLQo+pBW18K1TFEU8FOloAi2BhZcuQvM5yFrtxYh9pngwb/cHsHurWHud1g9w7GyZMznJxvYd7P0HHr9toB2E3tsSp5eo4Ys9tLm8PrA9Q0YHIvZdLphYziG4dNJy5VQKEfoPhxhVH8/tL7Ibko+ipDCs0nHATBUR2HGtfgpyyprMySlj5QIkwo9QiltZDepbVCSby0ver7g4MLYqlcndEaeJyGtAE8h4hKI7PhnqoyHwFk3U/lYTnPmnBUjueBVzLK1GBFymIVh0I4ugjRc7idm/XYk1Ve9q8x7C0awoQ0MDIA9crnoBXg4x4CgCEHgDiWJ6yhD/LZHf7cPIy9tyuI2B5W2cEfdYCmQ3POSbR37uH/HjeY89diBy2ahuyiLhm86jpT4MUHOlk4fSYGMQqb2pWUXY04udZp5aebmFbQ0RRXoYnlAKlBpGMqzdL6+BC2mhZH+m30OAu33XoU7VcYd3x1C3fu7mDXzNCZFt6a49WwQsPSlhRA1yBOLy335XU+Pbr82qKjRU9fkX6eFq8EOLLicz1uWkepLBpy1C0taXbh2yxbO2qwhNA4L61hqCLvpBRLg6lSC43LMJRLXvNlPmPEhatyfmNybegw0wbwrEjnnXMujs7sgWtpR7gI5X6x4x9rS322kgojMjQwmDXlZ5T81dezpoNyM0HoZkMkArA166NnssOHlnM2s/uslORtZtaB1T9TjtnNTuyzBAJoxnZ/QEhmDNomv9AKBGDmLDfuWvxlSFuGZPdlANEckvwRa4786dhaeuwB7HZJOdszjrqe0O0Ruq6BOc44Ojf4/BfPwnl0DnaaFttN8N3xclYoVpx2WoiAcNCrAz2ywCx9h2OtqASMWGs5ii8DGNSQFkXrTsiD/RRcSQCPX12ULbf8n7CNHTPDl77S48LuK5i352BvZwuGG6t0ZfPLqF3q/GPYH5aC27/RCRUcHJqtJcim6fuwiouN8vMBMO9jcAQAeybkJ/F25xyFBYDl4id1BwCd6bCnAsr1CvTGoOfApAS6mIEtkv1nUlniCaY55hEAytuPlX6XtqOnnMRJ15dJqN0Hp9wqy9CIMeftwZhlb6My9TwfiTUFJDH6+UncfueEqGumogvFEjQdCt69aAN4VqQ/o69ii3YBwM2jE/L9KShs9helJlkYhIZmrhXqM3PsvExsag4jr4YbpZDk7CzyiiMoArGY2GmCGbZUF5R+QDJWDnkBQIttP4YUro0raygbYctsAYZgxDrDohiD0buZN/44ENk0GbAj+220IDmb3SlyGTFuofVSuZMcnFTqNGsDbDeNlYvsxsktuaMHmDBr7MnrW+R2FWGgJQNqCTMimJ4xmzlDUM+YzQgNDAy7zZcbRgsD0/f+3UndyhsCCNgiYKsFNUB3co5jTYN77my7uHa1WgwgY0qBiF/1VlCCAnrYJZgCugXApHE9cGFkBkT9bBKiSlBSyRLkwQ7ssvbWtRRqge22tVvb9Wdh72u+Fc25R3EUdldpASh6l2Mx90td+KXvrn30TiaZeewMAHJnYjF752UBI4YZc4NgHWR2++NY2mV1TIIDbn7jPuEDxh7tSayoWgCgdwAjPX/KMKPDPErn4FrUNjp7HHwEMGJutoxkdl2aMqwQiRruEaBseXk5A2jNPOqZssP3OJUUQOToayJJojOrElYmA8u6USn+0XMAUQ6+9/HPUtiE4n35a+o7wj/fWny0r+TdBje0FG0Az4p0S/cPaNlWo+82ljLziNfGdCK0aul3LeP4OQFompm9mpCdAJ8Ztu2p4dV8AKDBjPRoTG/mFe63sA2iWeEZ0GCGFrMkB7tP7Q52Io4EoEWLRnVWDQPbijcBmLUhzRbsJoMEt0UOgC3YzQZbhwBmcxu7JaCdu5MlSPaRsfEIfo9Dt2M1Y+ackVqw36yNDHBXv4U9As7ZbtAZre7SzaLtTdbVuiQMuOX8pHWUjUuhIyxZ/VIqgiwOyl7zSHCLb+ReDVY64BBM4T6Jq/eYhNu2QN4nkXXqPtGfjWbXVqj3wXGKzoMbwO3j65bkI4T3JoCc3q3+65n9ERKyuWDnTD6sQE1nel9Ou0liABMdOgRbhv2vUxYMATJz7LoqCCBCYnTY87WlIYXhDn3Cq1S7hg1Y7x4cXbn8GOh5L0ubXwO96TBOphBvXAvnw6spmpthuC+212WIPUiN81iUjLMUbej0og3gOY2Jkrv0vpzGxSuc+VVK43dC9R12HVSVU8v4PXAzDhTU0xkZ50f3Om7tqFPdneoYi3ZpWsFHij2YJKKpJLAAkjCGFuW6ZxoYImw1Vm7jHG/0lk2lrX607OFZ8OXJxtBUBixTSMqo0xZtAYzIt0rHS/8OUiK8rwrxyAbQNIwZAXtocBczZgJIEFZbgbQTZ7xaLLJypIUdkVPE0z/9DIDb4K8ESGILQ24lKUkW3IKDmFkLjAuQ5JfvZRMknf52aEKcKXym0LJf6Cp5D1l/1sF/f0k2zFyd1gUhTy/aAJ7TmBh6oiiGFhMST7Tw2H8Ns/IRSRNnNolJ9yK/5laDQDa+gXEuk3H3z1HazHFT8JoYRlTfz2StAS2HUpVABATcMMNQOLmaAL8hvqQzkMk/W2+ywV0L2F2i2U2xOf5TwUkAIzbndOGTlFVmExYBPd5UnqTxdZIACZ/fENO0MitAQ/zFPfARCxrCtF/PCgA7XhoGTDLzFwWeptzSpFPsGfbfqbUVGqUBJxM+adphacJJ6OnOxpI2TzOd9gsM1Mu0KHhfjyy5HIeCeGJbH2dzRtIG8KxId53cRdvqnUAnQ46IiNrxSFmiFoSSB7Ko/hxwEAhN0xYwBSV/Yw4zYrcLXvxETzARwk7KKdsAZAgdGszIqFTkY8xgEDbXiXNhEBrvx2Of9GgjDnZ6ZAuNqpmZsmYxAY2a0rJ5ErqGMHNMZhR8i7ixVhtRwux8g/SvhQM9pEGhbQ09gDkTut5OrfiDPT0Ki6tK/HSIwnRXqDlZSa8Od82rOrIADQFICZZT1Gsw1l8rwBKORkgcl5XFxTorWwTGFPvXSL4lwEKqruFWtKFxQFMKxbH/jtRpDzleg324MSFez+xWaVn/HCuH9SDp3P5KbMLky5zDdJH1AzL+eo+Cg6/8lWkuCTMw1odHVWyw8BjvpxPbfQz6vkscfMt/jTEwiKdpAqcAwTtTmoJJ1R7DuCm8PF7cGvolpnTCIZ95vmV5JF06DTUBblajlKa0FqeumzL1t35al9PymUobwLMi3fuWCzGjLQBhF+HWaVLxr4m9ToJVQMZhfndUCrH16caGWU1huM6UrbNw44BS7KAcduQVrcdOo2lFKzHTBa1W2YQRF7MFALO28bytlSU+bg9sgKb3B4Z6C472OwHQYI5Z27oVShx2Shalq5jqKaIZE2ZuWblYeZjZ+uJw2MSthd37z3vdNtaZ2dd7i7CJHLkJMyLsgQA22Gpcnq6uiK2zMvvtdxidS0Owx2T4KSlfTHeIpyF07hiIvR7upPOwj0toFfGKI1m9FUBL7uScwdkkoIlejg/NEmvfncAMGcVOy6ymkhoPdqJN8zicni389fMI7CTvnsg6MM8awqyxoHWmVrXpVWFytAbA/kRzfV5X79q933nZWMvH3LgmwuzOJgvfmPXrAbrItCWnm9v0e25yQVebQQdDYYNOw4xd7KJFo6w2tiUy4ACPnCUV7Bwd9txuxiJRCSjY3ZLlBHBA74MloAuurCf9Nwv1LG0zhgMv/25UbvKk6/fs7uQDFCxNwtJKm6bSu3XHednzwnozR0thYJfuUp9ehynZ9O0AxoGnePqPIjnKJJ2pA7b9wQCeDa1GG8CzIl12z3thp7WOusv4Tggtk6y84mKc30g/VeTTVndG1MQR71r0FjHoqvFIn+mV46HbU9YOiQcta1xHqa+MBRkcB0gyQtrP2UccRllWict5S1ahyOqh3gAdyB3+aRVqr9KAdFbq2IisTsqUjvQE8OlzP8LYmVA69kHK7OOpZdURePEJHYBhlxDBcRgsU1M2wKi4Q6qEALvRtarrBkpxufruXCbkwLgGPbIfDxTY1gCRSe2+3BDAhKYRpW7f38zxN0zg1oEph+qkbvW+PEdMvBqKAfQ88+ANAJiAo7xj+fp4Qdn2MGDFQa7suqs+5O2fp7BALDwe6WTcGAZm1oeBT6Ts07hh+XpJLsm1N7omSpygnmvpcwtLeR8gCTVgYybFL1Fa0vhIiDGAU6fezHHHnV8ejLMfJJbKVWkNLE5L2gCeFUkvE1xvI8q5ZSOjQlgtdQQKpgiqlDHg9+SrylIKDTo9ztBtXVNJTflIi3IZPAZRVhCtyMP5YZSwKXk1KEtV4qwi9SVKFYDdfBAB5ABySre9t4DHOhfaFULBT6mBXRFEFPxWVHZZxQ4NOiOA4xmIvOQVecQfsdL2eSQsjL7neGG02CIEQGnwZ3djpCLYyQCUlkPVRQClti3oOrZYRziEDQctOAklEHVtp+vkWAmodxl/t4YlVQiLrVV5OhOlgAeBTKHOwlNCqJW4DkhZeJRq9q2y8TBFW1TTtyiWIHlqACp78KRAOYZiASKU97dhzydwTLfOKL5h/051KKsaya1Ymqcug46PJE4O5rRMtQFp/Ts7XNCg9P1saDptAM+KxERu+seHLMcnC0m7hxKImZ6X7mirqapWl6Ds5Xnc1QQkwnEip8TTBeiVDobyDjme3uLoIFQ3dA8giCReJEKchUofeIdVR6mVTiYV4l15ZTtFuFO4ZfUZ3BJgN53FsMuevTInLyez8xEqVINXLXrH6GIMy5JNKLhJFIq+9sqaEpBDwsfFUff+OchPvXqgI+/cACBj4xmr8PUOx1KvqUy+CISsPQiOE9+foDQF3gpfUZsOXJG2Prl3pPL1++NwaGd2CoyjqT37bjkGbP7HCvgEoKFBgjv/tggTdLzQ3gNosDILvCnbM1TtQU8duU8ChAYla0qow5AXORgOzwGQCesUlAxJAcibCB+tkkrxl1AFFhMeCfO8Y1HxdVi6M3vMRP/l6DrqMziNf3hgBvN6LDyHpDinnDaAZ0XS3e8qbahmqVlXGqrerIm08qw889kTsi5UQBADyvcpUYSqj7IKkX0HDxWX9JJv6OIGBmFTxBCDfLiWLcTxRnZmgMO4Ww6mtPI7a4MDO54H5x2trKhKD17O+/YcDeRGfvJ56Nix9cVdOxTnQYBixraAEP+HYBVheF8d4WsQ1YGAD/ss1HrRogTE7VA1BtE3BkDjpwtl+X98glUAFG6KS1mdvJri4CBtgYoANw1inP1FgR555xzxCq1Czo6LQU0OdAyFNVOI/qZtLFRJ4+1BehvByJ6UASfNhdz7Ipc+ncrKHZvtE+8bp9qphjIeopGShhHxL/eEMUjJy64HVBquOGkibJPyz/Pjyp32jUzZ1aFl3qntRxe6of2nDeBZOy33KQyBpdogvwQuarlHHWVp4OOocupEpCCn5+p4Us1qFF97KMIhvxSoxWlivxex8OhDTL10BO8cHbpYDXTK8vSsx6vxIZJ+LxgXLtujiYXHyIosstdZiQSoZZVT6MANRc+tVTEAp1JqPRKMVJETxU9baUuNv2cncyi7tDmWuG6lnXGysQaqCoQGK4bKX937kiQjB/1O7IRQhSLgktdemM4Kq69EScvWAR4YOWbFUbRbzeWBeVQ/tnX0keyxkrf1ECwg6QL0GIgEx/zWg5AUOkoZHCQi48NScJRaQ4L1Rt4Ou7oyxfQht3CvtwkQK1NuDRL0J897xTX94sphYZ96R9keYuky/uSELvWewoq2vHQpz2lhp5a0C8VKfFZncVrSBvCsSCVFuQwNQYZ1NE499jdQ+SXMa0pl6MynFJik0bTyEGCSGpgtnyCfgJgUm6W8IwVqxBSfyCJAKK3INIOUOOq2g2rwmcqKK/tUQI7+K1MbADz4YZn2EZmSl2HBjVKmYrzx8sTIL1aYKkzx9s9MAC1SILE0QSwW6kj6lKcHOoRkuk4BAXXt07o8IkyjHKSjaqewr5EHPCMfgZRXT9n5tiz+NArkAHJ2lqtzt1LL1xs0UHLxsm8lsdyoNquf9JF/TgonShM5YpeBW6kVgwFOr0hao+xRbbIchU8ALDWAoeEZkjS6dJndrqCISyAk7FiVHlUj24um+aXnfUVgheP7Six/FTarUGGUx43LEmTU0h0EbZalr0YbwLMqpRphSVun6JipyUsfXEl/x4NmyuKVAETZGsNFEJIyEb+LEo8Y3JSIyvwL6SJQEyn/xJ8heR6P/Er8wxlbgIBDx9Ohjp4DwAGc4ndx7FJom4ssP7fX1irDCnBYJ1zV1ZrQCKK1JAVwo+9L/jECaPQKKg9yBBggTBUY/1CatLr27h0W6BgO1h6Qfh7yyabSEqsSgKKFUjIVx/YxxZLWU9B/8mFSpJq9lU6pehbLTRRP2GhVqIFTgQiubcD5denvjv2/AZ8bD1jkyIpUoeopIH0l1iKdwmQlC08LXnRIWrFLbRIeaQcnHGLgwOBoBWUcG65dpOCFCzFLsjdJWChLuut3LKPLg3Upy3v6lK0mpa9N8z71JFstrEoHBdgOmjaAZ420At7xLXCdDTGVpQxkFuNTLKNTAERhhZTmK/aKEi5M+aVWgOgZZ7MekXx5l16OG927TLSC0SAipJdwirq9WD2MvH0HKgLv0qiYFmoEY1Gz5xzUTClCDBWT55xcJIhldBuT9HYgfl3VpOGcxWEApACHVhA9q0kc7Y9jcsCj+RZ9odTqtWjUzYFTrNK1P02Q3Xgzn5KHoOKwAjexPw5gp4DtIbsU5ZVSDG1Ki+QDuA+O0KUvLpYtzjOqoCwNqTVnYYATf5XJ7j3F/LRMpfLWrE0aPLE4s/l/03zHhl8bOt1oA3hWpKjrWRLtLAuS4ukQrbSn3dfyTroOr5zKjsDJjAzV87VhwUenmB8HgBQ/4+z07lpXTMmL0Cu9dGS/NLyg/8sdrs21FxMN2c7aTl/ZAFlFYdkqp1cKy8T9FJJcgwCiaPpLk6lcp3KnYNODCpefD4/iEARlRm1ZgQFJ71eAJVioBhTSMNnokUwer2RqnLInroksMCJ7aEG+vt2dACBxcvblQ/yzfEIcsXDKsx6hfqJ0LIXRbsEBpmhJYtUdgyBmvW+OjpMrfCSDhAYxnFFePiqWthFJeQFQADuBZ/IBMVDeVUiLVwMjJRAUvhUdEljWp7SAfIAlHAriJHEoexSaYWUQw3mJTjVtINjytAE8h4AS/T+dJu5ymPPngWdZJi6r+mcmPFJeaUfix1IFI0acjivPyqUo6MqRABdcCM9rxgEZKNO4dLCGog5VQIdWgGJd8BvXyXSYDleylFRDasLWwEWHcSmM47gpf7/miRPlyjpOnDCe7kuATpKuNP3DyV/Ls6wIo3SFF1vyZ9CWiVTNa+6+vGrqL67beIRvAWnZ+hByDj46ATSk7TYsOe/diiedFiqNVsnh3DkO7w3inxM8d7QsKbe0fQfLBrkBhUHqRp3xo3xQETKSAVJecrFvhRJZqeVpbOMKiat5SUpKnLI5Lrd9lTItnULNIF0eWmi5XqZBkfaN1jWldabSBvAcEqq14eqnPtDopVMsRQ8dQBp/OL901ZPmEU0fccIrNgrUwQd0564gjgdHVckyuepG+FJ+JU6uHAQYbtw+MaFG47UwkjasetFKz9m0Akhyys1GoABaC6Cm3C0PXGcAKLyMGAhpG1oC8ljHcTRg2U/BTiZT1Djcn6JZsaxuagA6Fi5+Hiyf7O8Z7n06lGaUh7Vesm7jaw+W4LcTfGRCWT24YQ10gvqMp6LClY0jXtsujOK61AOD0PZ0rjGIiGuqDFr03xh8GF+OUrrMPsVlXnmY5pFf1dKmpak/D++4nJaTu3L6MqUNf+BD2NBpQRvAsyKVupNlaXx6KY48tPHgorJoQFSSp6h4akqQVNfAhfRKk6V8UzOz3igwncJLOYga9+8kiRttSJyM1PT2/Wn/K/kaIxMBMUVWHLhxfezsERdS09CLGtYDxXBO5S9F51QRlPiz+5+idMvJWkJChagF/uNVEBSxyBim9pwqF2zD8RRm8OMJu3tHO0RLGCswoopiWIOXdFIqSKaBkgZDpWrSk2Exb5NwDf9qoJ9DCQ2ualKG0FillxS8xDdJWJxr+iyGDbHlVJ/unucFJF9nCE86LS7NbaWpovltlRhACXSX5Tk48keorMznzKQN4FmR9L4IizQibf3wvAYzitPGH2/Cd4BTOroeng5KRzflPLKuQxRMwsnHU/1oFFaSV/EmHVBIl3WZQzpd5a/DjTfFx2dESZkYCH43cB2QU4gAwpJzNF75AtoXJD/TSsvAkpcqV2k/Ha14ddpI1SgLkii9dCSsd3MOR2cgWBcUOIhTxrJG8hdlDQ/KJvnEUqP5JEawcOp2SJeCkbA/Ugg0ik/gQFE9xnsPOYjg8Wvil+PQcrAI5faEeIWYfqZjBfLgKJkzyY+fcOCFUMw7LicnfJLpI0YyR5O2rPxRfGxw+BZCKwrPwr+ahcTVcC2UMc5a9z2qZyFE79fv3VAjzi5KD0fSHyxUWNuU1hmKeDaA54Ao/XYWwexDbVU6k8GpsAgkhO5HExVDh/PQrOt+OBWxythqdHpqyiZcpaMLhHcEOpQOzbr/RLFPorhCsmnEappKEKWBUxqN6IPVB4WZPLX7w0IlQCj37ALSa5/W792T2kLcdJgGYQkg80dwJNCqJiP7nZhTR+DAI/glcfRvBLZ93BgY1aCPb0R6JJGZYnUaLn6Q9S89srcW2o0uZfK0OpdZmGZyYI2Shp7lSvpCGsOY706lkz6gRi+LIlbmszqL05I2gGdFqo/cylTTO0WlNpRvJaOoPyoAhzyzIVCjbrIRZ9btJOmisVhSL/UuMtXjY/VZip/dc/5sEC9wGkE7LbtulIMKYZDdwA9qY0I/HWI5mARFeRCVlNGoCBxFjtfUGBWe1iarfKMRs7IseeWsGXAepuVJ02o3jhAWlG0AGN4+5ykGF+k3ZLL2ykl96JVDmTxCCRCJ5Oe0HMnRIWlZEabGdJlr70+r8Dhe7MsT+QWl0g5aPbWvECd3iGLkgCKdVJPGzv791UBKiep2FQdEVN2W8pZY03JL4yT1Vb8NLx4lkCNxhkpSv9/Q6UEbwHOKKVf8ZUWQjpNWzqzEJFXALt4y+XGhLMt1YQTSqyzGECJi2aN7DQgKz3Q4ON6BWkpjFHPpmPXet1ruWon081rHWQrPazRX3ikF5ZHLWMtrMd5lPmOy1mhMllUNU17lM5wTOoNInZsl0yIup7CTLWfpU1iSgosALeLQGOzE4MRPy0RckPwNHEySU6ilEogpQTKVF2vJhGjgrkx5nxaXIeYVrzVL4dDSlHz0JbhGfgpSrU47zZBL+jY3tBhtAM/KFEavjJpaG0pbpjHlM5QuH0/HA5cBw04AApp8giFJ8kmw+ihqTI0pszQnlughGhKvhGaUbgiqQakRrr+HVK0Et0vKnstVtHvxSBFS/rV4aVyt+vI0ogaGK3IYGNUruV6umkoc58runzz+BCDHcV7eKif767gADz84ngxKNydMc4nhS565TC7FUChWyNXaJCBIk4CkqJUGbgIlQluLQRu4ZH/Ky+UFSD6UyKWZQt2U0w9R2leUAFtOsc1MXSVgJ083IEk2Ta07CU54HzzUMNgsS1+FNoBnRYo6VPVvSmt0ofAMh9o9h2jlZykAGsqKYZ0oEx+Upco0krAEq0r92QTDzyTQp1YnA0A0mWIxkvhy2AR2ebIN0Od2x47rYSWF3mcnAjHaMThLj2yaxytmbakqpNHK2qZJfBoKIAA08tynZx9QjqOW4Ov2Ge194upMAdC8DuJWUNpvKCpTofz2dTmAqYCNqE17GGmQSU8tSe56s77w7lLogSgkt9CkoCUFO1wO4b7gm1OamuIkTlwzPgbr5esp3EmBRA4sbC0FGcpgp5QulyiWP4TVhlQloCO3ZYCf5qmuVGcyjhvIC5W0yIqk+095G1iWz5lJG8CzKqm2n9s44mhZBzLZYSe9oOhPNXqeYmxmqyibKIi8v0kRxBDpSipHHrYhxZuLDcWrTx+pZ6oTk71zIqOP1ZhBwaUApJKzlCSLq4DFMlRUBOnLRdJUls1zKJ0DM+ugYn0WyrQ0X+V4rMMDfJB7gbYO6Mj8l4pby0ervtT+kqrxxKiYcI9hk44fpoLiXHJJ9HOj+HDxyJah6ZzSt8PMKO+4pyXNZSxDnrzWQjTpK0I9ILpyKXw3SBEASwFzXq4JX3LEb6hH3dDpRBvAsyLFXc3YZxA/9d91ket4+kU+uaky+i4lFaGYKNa0+SioyHkEqJU2fB8iWdhajy9eAnknrnOi2IE3ihNPD9Rln/5sRfwzvXomZOSjTBy4KjywvFxJ3rxwWvbvrf609GUF5MrRaisFNSicVl6GF9qzJm5ZfsUVx/AnhwApR80rtcWk6dNnlvSmhFMq007npBBM3XMMwALYKQGA+G8OOUppy/tkD7fXcrniZfJBguirrzYyHni+YIPeZ9rstLwabQDPipQCnjGqWVgWhTK1nUWncKnuCj/KcZh/PPapoZqh7RI1gzR9vU5ixZfHMz48AZxlRtFlNDWlp3PYPuMkQXTqtupHGQCZxCFWDSSr+9wgzsefqI7QboxeiFUqQ6E/1222eHCmyVdbyZRVKH+wFGjlLgUK+RNi/xLJo/z9aOuDziutIb03jlbV/rnG41yAAUpHagBTip9OFuVgR6Z6HOghXSMx2NGc4v8QcdZxSiXUMDwCJkpOLW/pWUac5pVP3uXckaQJ4SEk9tMZ+vbS20UsUfkz1QiqGxNGIk7mf1B0GGU6XWgDeE4xlRpr+p2ty1hazks0VdmutIzVKOUwxmcsj/KOyvX8h6JWeRXCa0pBgILchyXfOYBKlYsO037TxTwqcpTC07xKsqfPSnxL8srfkqxTeJb4lsbypTQ67dj0a1Ghl96rc1KuTVPl76VcKklH0DwSyFE5ZKkMD3KfnDrF8eLz08dlHycnCwH62IgYqk2TrgSM6v5DjlQnuEgJkkmuglAL1ofaFfUwruBal4XnMJbtVNAG8KxINYVRjOiopvRq96Xpg6ntNbW2eCUdaQjVcSyMeDTsyH1sCIk/0IJ+S6kvUenGX2aKLkTQj/w7U+ElJ2EirajDCHUKcKjRVPUmz1NDfS3eomB1av5T4ur8a3WzyLUOWwr8Jwk1wLHL0lG2hIGhz8RC9DfEy8/u5sg53StMii03ToKEv03EpKVIAUJ6XZrgmmqfVYCDS3bFMAUcnpV6qPLbS6fIkhy9pD7GCoo3B3oJUMnAJw/7LnEqZ1rLZyhKuBvRBvCsgxb8Dhb9bFJfHyIBAhOmvgphpemzBP+Ep4KPahFGJuMYST+yoBbzZafE12MANRJqJ4xbFJOuiIpUhVaEHCtywxSdGj8GcoZURsnao9MFK8J0YFJSSzXANJR/xKOSeekVLGLFGXqm+Y7xHARKhpNVbUEhxvAi5BMfBWEVpN53KYU/+donFVP8eEg/Sz8GVgWW+AmfJN9YFiR3IrF+os6iKjT0OvAMrSeNzUpmPdU7zLFwnXx8RYtXAlzK0/kqZTzPOoHqJuBYnkUn/ddPehp8Q4vTBvCcRuQ71vQbxEIYYrE8fb/Ek/Ia/RZpyS5D64WSAIk/Ro2H1gvSbwYfnxhcavUCwG9WF/IwYG4C+wRIZbshk54OQ5bOKNn8snInpJ4+MzJPp8ocqTiVh5eF4X0YwkGZeblNCAp8IoUUeIddmDkre1Se5I3ooyCLlhZngtEgJd6BOlWwqrw+HUlkBTUC4LGOyQrWcDrBxK6MqRKWZ3qPnSBNbhlywIeCBHEcTriwl8W+h9RGFJc9tjmmLdapbQ5O2Hm8HD5lwC1V9BzkRvwkCYslKQKipGq1r5fPN4pT+rrZpRXx6nHqfU/6xOYd5ElkOiAKG2OuRmcqZmrGoxw8vfa1r8X9739/HDlyBJdddhn+5m/+ZjD+2972NjzwgQ/EkSNH8NCHPhR/+qd/Gj1nZrz0pS/FRRddhKNHj+KKK67Apz71qaVkk89eGiIv+VuaRAHr3wjv5fIlq0SY4ryS32hBDS9dcJ9sIH8dJ83bgMJ7cvHtRl5kxeLwDo3/EXoQOhAMN+i5QccN5u7XAejY/aB+SVjvwoy77hnojQ3Tz4x71qlnvZO7Z3LxKMRzeciGZH2aByvezOiZbX4qTshH8yEYUPSs5+BDoK+z9AhyeFkA9OAgK4CerRqO4wAdG3SJrDaOC/fys/91/idx2efZO3Xv/3Pgw8BEh3XKFJQGJrkdJcg8DnYAUMhPxy1/ACo9pc9r8VO+6cSylA1q1pldPO+C7h7JNReuSzLkZlZW12m5ih1UoRx+g4CiOYNCEXxnEO5zsJPInPULSqYsgpbHZOEbOv3o0AOet771rbjmmmvwspe9DB/5yEfwsIc9DFdeeSW++MUvFuO/733vw9Of/nQ8+9nPxkc/+lFcddVVuOqqq/C3f/u3Ps6v/uqv4jd+4zdwww034IMf/CDOPvtsXHnllTh58uTC8kmzjz1YFqeCfh7EBYOfW5JwjM/iP90lTuUnTp2V/ma0/+CMZ7ks7PuvFFuFHXZV91XoC8ueDSGQkbxrzi+H6hool1fLmjrRjnTjEU9fLo7j1N5X7bqYJ+dhKZXT1stQcWON+EeyVequlIaTUMlPpqLs+2bfbgCt2tIWXOIuIChsMKjzkRcRx+YkBOqJUYeJIood8U145E9MnI/+2HR9VNpufq3SEkdPdFvVa7FCqSrfUkL2HXAALclmpxFR8otKsC5Ka//giTkMNFb5nal06AHPK1/5SjznOc/Bs571LDz4wQ/GDTfcgLPOOguvf/3ri/Ff/epX43u+53vwsz/7s3jQgx6EX/mVX8EjHvEIvOY1rwFgld7111+Pl7zkJfj+7/9+fOu3fit+93d/F5///Ofx9re/fWH59msqKaW0a1s24STryOSfBT7GA6D0l8Yd5meYwNFvuMw6L1MqB8HLloOf0FuWOnixAglf3d8fNA2JkT3bB5mH6qH8aFyIKWXiUuBgKs7uUhtODm1iJReFOUtJDEBCHsY9t3+N/SlOqUVIjKZiBTJkIuflHHro0uUVoGWtxQnk7DZ++jLkky898EmKlOdChSvOQQqxLbuum9GRI5ejudURwb+x0mskeUfXy/eyp4wG++8FfmcqHWrAs7e3hw9/+MO44oorfFjTNLjiiivw/ve/v5jm/e9/fxQfAK688kof/zOf+QxuueWWKM6xY8dw2WWXVXkO0eIg4eB/+1GYfFqLlxIgVjxjHy47UMJxdkkcw2X1kIrYs35aqJol/Y+4Uu7RdzHKeGK8qTSxr689Xp8oS9Vy5a4EAGqFTIFMiMfuH2YuPGPPNn0Wy5Ok5RCmHYtDWArP9Jehy5FajeK4nMQtvWgBCcxxbos2svy7qSyzVCIsax3n9Eb1RVWumQw8WMRTNaCdSmZNv0W/sPe+97144hOfiIsvvhhENMk48O53vxuPeMQjsLOzg2/8xm/EG9/4xgVzXT8daqflL3/5y+j7HhdccEEUfsEFF+ATn/hEMc0tt9xSjH/LLbf45xJWi1Oi3d1d7O7u+vvjx49PL8h+EOOUfo2Lq6ABW/QYs+IKtPrwMl5qn8fz2en99VV49LciW3CGRfwXod+MeKkNFvUsgn4uz3R6Tdr0nMWJeIlMJsih5fFx400f2ZUrzY9UOCf5oHSt+fnneQT73JT5pQpf8k/4y7+yEWRYkKNjxt71rCqrYGdRqj2fjInPs4rzGZ5qcjEIymE5BUFqGiuqrFgDc/RvqTZSexSi9GktluSI4kYDhNhJN627mE9+lcVUH1mWb1Ge/D7P3aKm0J6GOhiOZCjFr1nP9FXZMfruSydOnMDDHvYw/MiP/Aie/OQnj8b/zGc+g+/7vu/DT/zET+DNb34zbrrpJvzoj/4oLrroIlx55ZWnQOIyHWrAc5jouuuuw8tf/vK18ix9MlMxzLKfmyxaXRQrLRJ/5a5gKpjjclSdf62sA11yJEIR1PBw+rH71K20lHetDmtqbCjukJIqhS/Cc4jSuGOvVOIZrpueS7KW1JMAPIlUfJ+SH+LVOOmkF5JwnT5Pk0KQkkVInuhF7UDKOy1NKr3V25zt4TP9TSdAjlPgMJY6ptL6pdSnZxX+QxTzzCWZClAOO4xZ25TUgjye8IQn4AlPeMLk+DfccAMuueQS/Pqv/zoA4EEPehD++q//Gq961asOFPAc6imte93rXmjbFrfeemsUfuutt+LCCy8sprnwwgsH48vfRXgCwLXXXovbb7/d//7pn/4JQNzxLfor0dSVXstad9IOf0xpHgT5AdjAT1uia3Xm/XAkTDtMKx5g2OMVOI4P1B38SvXGtQeTCjwQNNLJLfX+RuSsTcOV8hySNY03tKQ2jTtcLs7+1fAijhODER2G6Fm4NsldWJcVTx1pacugJ/7K7JWsDwvTtppH2fKRlJHdFenQUv1pvgAXQlletvNPqs0GTQWsSsoYaIjhzfvZ5PzHu7XiV+d4lns0319O6DNr0Q7L1NZBTWktSmOuJQdFhxrwbG9v45GPfCRuuukmH2aMwU033YTLL7+8mObyyy+P4gPAO9/5Th//kksuwYUXXhjFOX78OD74wQ9WeQLAzs4OzjvvvOgHYDq6mfiLvtkB9DPmZLwoZU69+/SbAuiQXKc0ma9ixowI1Hj+HHgaHcYhrvE9Zoir0+iwKZSqsNKztJxj6afUl78eEFY/SjvGmhw67lD8sfD02ViZ6jzyp6GdxN4x8caB4b5klUltNRz9pxeqy73mAx8ve3+yP1KSU24dMvEKpmJN5IAPyb2Xxk0JavDhfXmzKhz6Mm0YZdcom1/dj6BPgC+BvWkkK7vKq/dKrXLR1pPzqR6eu+/EqrzL/wDGfD7H8ePHo59221iFaq4lx48fx1133bWWPJahQw14AOCaa67Bb//2b+NNb3oT/s//+T/4yZ/8SZw4cQLPetazAABXX301rr32Wh//p3/6p3HjjTfi13/91/GJT3wCv/RLv4QPfehDeN7zngcAICK84AUvwCte8Qr80R/9ET7+8Y/j6quvxsUXX4yrrrpqYfnGOu+VfukSbsW7uKhA/Zbx2q958q9cDiU7Lcg33d9oaL8j2UOGUQFwrpPS6fV+MTEfDtYdqZPKOK/UnZZ27UhlTdOndcWQfGOqbX2WypGGaeoHnpXKU5Ihi8t5nFK82j0NPB/iUftG7H1d5WmLjFGAJcAWo/5qYKR5GhUvfsYw3mUtPGPkMItjP59oFVFoTQypJG2nQZRjKGdSK25Fko4rp6XHJUvrUV+V30pctjTVOFng0xSsK7VexOXIFgBStjxd816UKGNVtp0tUsLDSe94xztw7Nix6HfdddcdtFj7Sofeh+dpT3savvSlL+GlL30pbrnlFlx66aW48cYbPXq8+eab0TQBtz360Y/GW97yFrzkJS/Bi1/8YnzTN30T3v72t+NbvuVbfJwXvehFOHHiBH7sx34Mt912Gx7zmMfgxhtvxJEjR5aS8VQ2fZ/XKRhhRApsDfmFDnvJtAXlHz1XN7VpldSPA4A/UqgEEqx/h03pdzjO1JXjzanFx8ZPu+o0XapIUxlCrmWLUsqTEPPXZUnzHsu/BjJywBZDlljWNN88bqk+9HXxvRX+CmcD4x9oEBKfZJWXmRMp4xBVGjZ+SXWcNlaQhlnFSyFDCjVCO0f2ZDBF5buwu0nrJefIrkq5pLFSqeOrkltz5rszwDONVwP0WS56rULxey+1pPp9rW+JzxZzsQ8I76xzH50nPvGJeNOb3hSF7ezsrIV3zbXkvPPOw9GjR9eSxzJ06AEPADzvec/zFpqU3v3ud2dhT33qU/HUpz61yo+I8Mu//Mv45V/+5XWJeLentYGf9GNdwEtbK7+Ule9Gh+IpQCImabEENS6eLE0Pzt1un1UGvNGebbyi9YL1n3jvoVJZdGcdrdXxfCgKK4MYp/Q4jpvKZtTKp0gcFbeojhSSCOXhpKxOpbObofHWhJgfexxikhVzIbbYP/LDG9Nya3VfAwYBBGmoQCBn1SEVGru4G7hVb5RKwX5zwBQW5SDEIAdCaZqUU2otKaUrlTL+67nKUrZEsjK8znmlNavBTPqG6pCqnMNwWHqIaSWnYlbTUMFQrPKzOhw7FZT1JSvw2draCq4Za6bLL788O+FAu5YcFB36Ka0NHULiFX5p0MR0+jbaZLDwk0z8fYGHfiZ+OtESbOWRMORoO1ZN66R96Wa5eBmHJe9tvdnnI+shDJxOwaQqfFiV1p5xEkflQboF5HHDdFhJEganG+tFIKIU6vj7aRpWG+lNAzsaQukQz5vtdBClDm3Zx5hKGE95RRCkyhPJx1n+5a3A8UveaZi9Cug7ntFK28Dwfdi6NG938RaqSdrD4sV8iuiOO+7Axz72MXzsYx8DYJedf+xjH8PNN98MwC7qufrqq338n/iJn8A//MM/4EUvehE+8YlP4Dd/8zfxe7/3e3jhC194EOJ7Oi0sPIeZ9kMJHAZa9/ecdjnps2El5/5q5cxwPghJvHTug+I0Pr7y50mjynVR5qS/K5UlDR9SwSJXWgFDKnpKPsKz+nyJvMbJZup150gjyhV2oCErXnqfxknfo71md56oAyGsU5J6rnnFCllPbWgwY/83UTr9XyxdDEKCFBzlp4UP7XrorReAFKPgfcy+cXManvGJa6IUT/MkUGH5d8o3DsvfPLtvmwcdg1nKgbhfyFvO8D1nX3oueenuoOigjob40Ic+hMc97nH+/pprrgEAPPOZz8Qb3/hGfOELX/DgB7CLg/7kT/4EL3zhC/HqV78aX//1X4/Xve51B7okHdgAntXp7oZ4dCe7Bir2f4WOjGudW0EQUQDZo7QTL4AdDVzSDrX0KtM0pbFoTdRlAcTamtME0LEouzrLRaQeahTjfEpKMr7LbUCUxeOgNFn56RBHLzydWvJwQvnlxN+MhjGxFGWVH3OOIAunXN21b7s5+IhwEQKwy6avourO4YyG/FPerI9T4VsmdTZ6EpV5KP84hJLvfGpbLJW1njpDwwdCYdXo6nwWocc+9rEFMBuotIvyYx/7WHz0ox9dULL9pQ3gWZHuNnhnDYoxZVHyOalSQZMyx0GDarLSF0mcIpDhOH4UrwCQThkQOeQNqiTe4iKvf/xcH6dHcMEGk9p1mpJYJMAhASkSXnAdT6et9OLztD2m/6ZgJ+ZdADVkZUMB9MQyp7CvUDfe2lM+Q6vs5xPzLta7WJaqvFOgk4KboRYxAIbI/VO0hpWkHQJ1ac9xsP47QNrONrQobQDPhiyta9QwYiGqWnJUIj9KTa04CUDR11FYOlockkc9M5U8JKTchU6gAYBz6Loujf4G4zHSozpWz3rg4MpqmmF+WRwKT3NOGSyKeTFgilOPqWdNmXcaN5aw5JlUyispB8Nam4pOybXEOed0VVWqVFMgUmXH6VNVav8dcNHCkHOWj7EufNkuWAEpXLDqqj4nl6cMjjZ0+tIG8KyBNp+BIxlYragEGWUeJaCTXpfuqzxSUMXDwKiWaRbMidLKEiP4b6rrct5KEeo8feedBKY6QvRM0T8lzTdHrAz21gSOvLc5k8kAIFZqwsiINEul6imEsM+/DDd9lVHKcazRsa+A3IZSUuDFCSaVV1oWhi5B/jQGNDm/cctO+bl7LxzyGuJRu85zKNXGRIrwBWfPytMiy9ksSq1kMJaz/pSW6Y9xOSx0UD48dxfaAJ5DQNLRnwrH//3My3ckQ2acEd00FawImQkIq9gNci7mcN7xYaA1lZse+OnBDwfrRRZHwgueJuGNFfa+Sfjo0Wq6skzyTNRlnBMH9Z36fvtyqLgDajiDCeVSpcvLAVY7H6VAoDRNJABIrENlJZiDoliyWHr/jIB4R+OsxgqlS2VM05VqqiRziXJFXVPewyq9/Kxu0SjIXwEuQ9dDFpPUwrQ47JgmT+7gnKcLoYdwSosrVb8on9VZnJa0ATwrUq3LWoyD/tz3E/aETp/V9dpYF7qtjEbBzjggi5XucBnSw0NTJQ6U8VlJ6Q935zkIKckytg/EFJVTknOIx1j4IvmV4qb1O5Z2KE6AHNMnt+S5HAJaz4ujuCEs2VtGLFqI/XJKlo/UApTxioAPfPxYGiQpxsAHR5aSklT5k1JeqVzlGNOoXBYAGTgOd6UVVKXr4dzqX429DD1ryrPOv9yTHTxMsPt6H7wcpyttAM+BkXTq8tFTEr6feUl+a8jLdyhxOZbvLqWryUFP7phclj9SDYzI1UQfo6GrXA+U01UfJLsSJnynnqej+/tsT59KRUX8R/SXwbAsrC9kxmqk308dxqMHdVGS0JISneatHfvzTEmR5jEVJuW5pUBH/o3bXA52AlyzceIYKT9OuJf+lp9x9vI0z7J1bAgUlCbUSnnnbx6Dz1OHZE3DFp1SPeTpkfEoJxuDzouEbuj0pg3gOZXkv6EUfGhKtNyyeOQU5BX8UILdYnjkVQ6NR3tynavHfAw5MpWl+k2mPFyDCi6lIwcmSpv1wE4TNSN1tkq3uQ5/qBLPRYDaotmPw4ypXNlZxMpuqcM51uGYgVFQWnsOKU8cf1BdAO/6MFCKUupylawrdbCzKKBIwU45ZnmbzNJ3OTyFpKUZsryUgZvspZNx5jznofdVozLQqYO6obByH1Nqdwc/pQUuFHNDk2kDeFYlJgwvPVr2E4k18VTFs1Jebv5nSl41x7k4eJzT2Biu3GXx4HMA+ZJ4Hp6iMpxLG3WEjp/2lyUJr0yJ1captdVsxe6ah59L2JAjY1rm0io2fT00RTWs9sp55lfB36aULs+/rK719CwV1ZYGLEoZg6M0qWUk7MUTTzMFWONAk7eWGc83li+kKIVGAEGVKbYISR4pjzynvJKGQFccufye0pi68cfh5GV094X2rUNKFp64XQ4BO/1RTAM1UyluRQMAaj89DwZIDjpelc5UzLQBPCtSqdPer3z2naqdlJKjNLCqxV1VniLP4XFpTZHquNFBASa28mhFbhyjyDpU4q30aw1QZUm4bF2SZ4vUnc9TQNuU94hIxRf5DV3XZIjkScJyFZb726Rx6xaLWHrbKlIvngA2BOCEvyEVC8ChkJ995zaWQWHfHbFeVMBOaRrLJDFy+eM85F7AThmksPxfSJtSHToOt4Ih3gJU9HM9V5zGD1+Y3ZlZ0mr4OdLSWF0XrS5jVsFhqqc6eAsP+/awMqMzkjaAZ0XS3dpqn9lidCB5lQaRGA8r0TJys+rsat0xpwGlvDiJr15iFJdiYDBBwMVoYvySDEMgs9YtL9tWFst/Wo1NVdBpbuNlsPkb95LD8SMKgqipFg8byEQcAHYnnZdlZTYxQFJ56AaV2oaGyhY/E0A1ls4+j995eBY7SaclTOPnkGioJdVXiFU+0ox/JV1SmtD/lIDN0JewHGlIVuN1QAaeDa1IG8CzRkrHovv5UazDrDmVBBSsQ59Hg8EFKmiq1aMUT4Og7BnHK7miayMak+OjKTikzfLw+VgllC0lF96KkVcb2j8jBWUqPC1b5DmSgDc91cBAsiQ+VnmEcKJ6JFckA6v9i0KoSXgVQYLKM15pEmpd8+yTOOE9cjQLG0rD6ipV+m6qiESVEcLp6LH7ceBQBhq+zrPN/uIa0/8uAjrgeaf8dQ2loCOOo2NqifJazvOuk5KBAx+qlKIcMpRXOe8YWC0DchbpuabxOCg/mnXtw3NA4h84bQDPihQrg/zZaU8LAp2xLmxsddAw33pnV1LOJatEadpHLxc3bP0PSHXjbGLgIierp/lS8tf/kjJHbYaDFcLvlVOo80Qd+kCThyZATIfXFVMGnFQM2RmH4EAI5enDfjrxm9IWkBROaNfhTNaIn86NfG4prJBwv/y4CfVBJAqfvDN0uuNPmD4j9SeEZYDKTYVpyBRqM9RsCTjlbyL566fMdJo6oKmDnSB1vBRgCKSUKIkfHR0xlmIy1/x5tFyQCkhjXb1vTZIChDtAr2HbX60j/7uFdlqYNoBnVeLCN5jQOi09h6GZSpep72vxonsefj4pY+n0av4vA/lEQCIBHtF+PfoZ514kU+VWumo03lTlUGtLi9Tlsm1oeRWyLp6hpji5j9V/nasAowBTGITGXwMxgMkca1W+7NFOeDOZLw8z0hPLa2AnAimqoQ6BnpQPF+9DPCuuOK6VeJRIS8xRUO3wT3mWlTUqy1C+HAFVxRTVDEehSjl+AdKMy7RZKnVa0gbwrEjr79QPPy1lVObh52MUpaNKOKQjKq/g0qpizGF3it/SQLc4GexkAo0km1x/Q+ioEJXTgEraqSplWJmVeJTUznRVVIqnnZdzeUrTXmnsGFDlspX5xaBkaPoo3KftKlby7EB4fuZVLl8Z/MT87PEKcjTJsCuuqpdomi1J4ZjYeh/6Ssa/IG/VKVgSdRlc5FyIlagMpAToTN3SYb9oXTstn6m0ATx3U1pA303kV1A+DBANgwsbbwA1uFuq9CS1aRiZnojzAcZKXexuBYylq7Uqg8hpdTv9DaTg6FQ6pK8vn1jhLsZzGQnyNGXH6jB9pu9jKWPnXj0hl4LkqDWqF1eEa86xOWtopNMl9ZYhZUkTQE9OOa8xABNOXJ82fGGe4DWoQE8WmHMs5Db540Jclyh+rOWS1eDn4QY6QuvaaflMxUwbwLMypSO9sdilPYSXz3mdeQ3xKz4jwLBBuhC4mHhADOsqYYq9SnU8WNz8ht3oVfFWA0H9prRIqZrL8lLsc8WXy7dIZzKWZiy8Vj+iN9Ml9UN8GfXR49S2MVz2srKZBpVKXiljeWkPHYrCav5KMUBKc6IspfyrfWNiv6JCCQ07gD9U8sIzvz+QjlMDO+Xa1dflqZk8XnkaLaXAE4CytCZptD9OBKhcmAKDRZEiRpzcD0O9RAAAen/t3B4IkNo6ogaUTi1tLDyr0QbwnGKiSM3u97CBfNe7X0eTElE0jaTJD1apEJ4zKqdPeekwZrBOR1LenElpfJopeElMYbUSJ48GKQEYiEbQ9Tki6evLElJ2eWrazmGhWs0PKepSWOoanb94Vg2Ak2cAlJNzDGgCZ6NCGPHBo+GvBRp1Pxptg8rK4ZMw0n9z6Fa+jqhkgUpkmUaxx45f3YixCeZlFHj9XY9PatWf1so6vQ42dNhpA3hWpEmKsEhhE7Qa3zGVNj3f8bzGaHhsV1Hqqp+fJmvcPU5RaWPPgntqhdTCD+/UnCK1GnKbIE+8ymRhNqeU9mPkuP7ijguZwhyO7oRMFjMFQzHwkLCSHTD9m4YVJEgsGSblUQQhQ7xr5RxgEz3nTKYhjrVdkfN7To5IqQGdYR4FgQthlmLL7XgLzGuLB68OkjZTWqvRBvAcINmdRrnov7J+nSjLcBfnzJiiDB1yKGwfnHUnA+iDwc5qVE4bR3ejSo7HkINAiQtdqU44Uj2LdBSRzsqrZUWSiZehjLPsx6JOfrYsxQpk9VZeBvICVOreUKkiS60q9bKHM7VyJ+WyNaDGK9/PqAySck4c3aUSDP+t8BSntWwKZyTdyD25f1j3DVgE7IzTcOzg5l1qJUPcDiMoYOZor6zlGa3O4nSkDeBZkWpd02Ry0zDLrC9YPN/l85rGXszYcdeyWHdG9XO6auGVv1EEBTh8PNcHD3XtY93+MrQMyBgb7x5OShVz+fnynOV6qNa4ADY1UCmDCD09lacp5ZS+oTJ4iVJ7IBDilGuslHfgv7yKTvh5eeqxxvlU5NSO2oNgZwrFaer9GUdxRDY5YmQoflqiw0L5dOfynM5E2gCeQ0Knqvktek7TwvxXHLUv3mVPyY/VzrApGKtYGgxFwcxq4znW4YGPy8KHR6qS2Q+i8x2aOThVs+7AlSJktTGhziQpiY+rMvAgV8XXGwVywoOQ7sgcnppkq8OwSi+WOPdridVSnH/CExTxC9DExaOyw7FcU8Snprw0yKiBjTx1HL8Ah7Ol2yM2H+JSaDFu3C5iCdJS5PeV/Ev3XIqTxp3CN3k69HjgWf5o6pCttk5rBOxMYX1m4oXTnjaA54DpVH436/bRyLrNCv+R7jV/uODKosHnhUAPLAammcaqKu32F40/lLbkdzSmK8biTtk8UcLyozKH85a/GWyMfJdMsmKsXnMlsBOQZCkjC4YGgcXk69oIujTplQMlHvQai8uc5zQsY2o5yWHPGHgqUQKZBJUryoFWnU9NAvaMKjyGnlXyWiRO3Z27IEpx9drhoM1p6avRBvCsSOUx4PTEWf+9gIFkoXxXbOGjCl0PclfIpDS4HBprTgUapfsxlRS7p4bY0a7MQxlOKUdNiFIGBYTpFcmEDKY4rk8FlRSFpD5UIyP9akjgkzqeDqtaDYrEQR8IDsaJUvd/U0g1DBxSe0oay6/Myhpxnv9YqabVoP0bvFSmpS5y5JjnMHhclLe+G2isRGnkZXNMrtIWNWEJ+9pkWS+ty2n5TKUN4DkgqgIEd3PoFvIMfGPFEcdE0KIjjAGYgr6vjPaTOFC+Ol4fJaPwVE9RSD+26diioGsK1cq2DC2V/xLP6yLnamc8fwEvKbgqxRvLqwQGtFKUvaQCcIm3j6jBrpSXKcTLV3qVedV4lvOu+fPI39zGVIf+pVPP4/Rc+HcMGgvvgThDz1YCcKmPTtni5t9wkf1+fNVrIOa1WJ/OVMi0ATynmKa21fWOc/aPV7UbXdAzOgU7k7ob5XAcjRtdYPCvCaO10LVbhCNboUQ+N2qVPSNyswhxJgChRWnZ95WCo6F6HLLyDMlF9TeNkbHyAM9ctlrccvhYi4ndktPdAeqShT13ytafvP6iiTdihPm7HMZPkXvoLZanA3X7Hvv46mBnKkga4mn5DkQVqk5jLd9zTQVikRh+cHOmwoAzhzaA5xTSqfyehvJalxjrcoAuOchmeRXy1uGM3CdHm34j1cC52opUTPLcpMogAVSTBB6hlLfw32/rkgYDNd8ASq5LSmVwVq2Sn05dAgEWnNV9auK3P54rR/kYlW860ZXD6HCOFCd7yriUnMpTgomxY3smZRG0joOdaUvI82fMQyt+Svx1+ABkXOTDKDacxdeRTrY4DZV3aiM+QLI+PIdYwENOG8CzIk3e6rs8MNwX2q8N5NaVR206b2zcO5b32DTh0HLb0lqiSaAxea9TVI8WRanR4XwGntWUaFqfIX5JEehnwceBBpRPzD+3HOUuvvV8dRouPsnjDVMJ0sblDKXUa/dMQfJEHo5PW9ecc/CRgIqkUcXP9EVNWU/8YhIEnZanDkryN1JsAdVvkJfr5xZyWk5FmQZ2JggQLsfEOSCfg/VtPHhmgqYN4DkVNAHsTGl++RRAcj+xDa/a1NdpPZoKchZNUzp01G706CxKrjKpoickyio4dRkQk8VdYOC5Pkwdg574ybj0GkxMKe3wVNb4KL0GowIECR5BMdDRMtqnJrFzMTg50JMjzmlYKV5gNtRyFwN4o7U6ACCGwE7+1UzKDTJFnDfAKZDd0cLT4FPrcLkv8ZD6LW9oBdoAnlVp6ve8hg+HgapGWwWE1J4XfR7W2AFMWf5cAnVD1VpyRExl11MHpnAIKUOtxGLEp6hzQV7V0U8GbRwcqScBuMr9cl25AACaEDflqetL28UC13BdB2Gpo7DELSsxLWcoeW57qJfELhdvfA4aAJWAVRxmVIjUgr7XkldgWjTltRiQNNUvhcvBWaACaWOWneLjeL1ilnLpJZpTrIdDcDYdCtSGhNoEq/mNe3WpSc3i81NN7Gw8G1qONoBnRWIgjMJr39W6M0T43CX/JVgsHq+ScBmlW+0+C/2u77aSEVeJf1HpcA4sdPx0wSqrfjJV2BGPVMh9MnNzlvFI3JUoteyIVWT6+qr102KVG+Bc6qOiW12APMjiBS5x5Yc4ckxLPM1Ut8PUHJXr1i1Onk8DdqV4nlfN4lPlPcGWtqIj2xgwr98N2z0XBSjjsQ+Hgw9jsyx9FdoAnjWR7heX0X2LNmG/M+9IXuv4NOLdf6fzHwIYY7yK41MZaA8sRZ/iH5Smi9Qgu/ETA73wY0SmnTRNmklRdn9dFpCTXxqFkmemEKem2kuyiMtuDm3ya80pnggSUBBiExH0CNT4pdpIwhlNIkEJfEh6Cy4cL/nYiKO0rOIa9Er2HobDoETnY2CUI3ZsycjDtKymEBrXFcAFQDDmcZICnfjpcEuO/63LUM552rUGOaWPcazHWazHqMeu18N0LiF8fDYteXpAc10bH57VaAN4VqRUQREt53+3cPOj8Gffvz1CNpWkadnwEvjJ1UN8wVQea+UKPnZFlWdpF63DGPGKMeMeWiCUhIOdqtTkJsI4nq7znQvnYeT4pYqKAesbK3FJ2yyCUgwYMFd1ViITPY29NOI0wi1Rl9F9fKq3BjMcPQ8gQufMHnCEt0NJvDB9ZNS/Xs5oCXGQrEfnr0tTZRIkB/Y2RDBs1DK4UB4NL8WHhyitjSHFqv46J7H6LuRTgU2ZQQlQZdeRE+7wV1eXJ1A4f27MyWVKxzQcJ/5Wh6GiTlNX6JV6rEpQeXJATssbWo02gGdNVPIdAcpjoFVpyOKyFL8F81q1TBrEpIBxrLudku8YACzJX+xKl6rnHGgNxi34EK2XpvHPVwANxx5pNSN1wMm/40o2PBPkEqfJoW0lPWv5GFpWDUIDyOXC1gActzFx9opKFdCthkjxhoZDMnP9URQ4/PWwCvZt2c/BLwGwpEBSjEHP3vzrWeRbyqGZ8qjxILT8hdYPCC3nM/0JL1aINZO18Gx8eJalDeBZkUrdTi3OynmN9YFT+SyRV5qmdrzCQnLRRFDB0Z/BlUtB7rIzcnptFOqiCTsJDqn6/e4HS54mQ3U3xXoQp53iFzFWysVroWZfyLlJ/tP8KULMAcuAj8RJTAFDJYlycCNWpRIX+bfkep3fA9mOSN6MO2QPrVxzfBGBnjwTDFEMdlTcwBTlXqHOcegJDcQLOGuoPeThMTQea6tJXIYy4Y8k3SdiMmBaHfBsprQ2tBRNncEe6wpGm98C7XPRbidLPzGvZT6ZksocG6tOuQ9hsSqJ+iYOnzmluxRSLJsYEDJ1VCn0kOxDKRhKl43GLt+PTQuG8DLQKa1TqsWtyZDHKSnyOpSaHroYlfMXy5oqIytQku5VgODNE3NyaVj+SYBQoQCpX1Bey5WWTQCr/X/SEpXuywMk4SWh01pPADuVt+IdpMbe2vhbndp/iYWn7KM0pdVOIQXyDsE01sZpeTXaAJ4VqaTAS7TSoGDBhKvkNQXsLNFlDGbCMnKqxGUdT11bB1kdVlayJTmmdMuliZmpZa912qt3VeNAZOz5IjKUgcz0Kbv9IR64Kz2tKfY0poCe4Ewd+xeV+Lq7YrV4eJWEypL8kvSaYUzifxTyqbdoM+jbk1pIBuRI5fHR1v9uFxs0hBhla8+qZpgU6CS8Nhv0nJa0ATxrptHPYBm0UNEvU/IqJV9GEVafjei/Kf408ei1nDZTTxQrktoBgJIu76+5MoVVB0376oi+CI7YF1oFxk5pOaXpoeXJgtFFWqxqANYkE7UFHd/4tsFxuoRXBj25BEfL9VRebj5EDowREG+qWYCko7sda16lJ8ndEsp98WXhS/U+nqZae8Y+sWjarggsD5aM+29VOjwlOrXUHLQANZrP5/i5n/s5PPShD8XZZ5+Niy++GFdffTU+//nPj6Z97Wtfi/vf//44cuQILrvsMvzN3/xN9PzkyZN47nOfi3ve854455xz8JSnPAW33nrrUnJy8hulBZTalKmOKXmNyThZ9koeJWDCCKuPpvyGCloHaHWpLV9Sq64KsZVFSI/FdX1wHPWAKH5Dp16UCng45fnmTxexBLhWWeRteSmLTvrCKcSqfVFxTvF6Ot22qtKr87qG/0PEPWbBiaIu8VPpKbVjJbIt1PBDfgu47Y+AncWIiCb54tVk8WBHhR4msrVlVv4dtnKdKjq0gOfOO+/ERz7yEfziL/4iPvKRj+D3f//38clPfhJPetKTBtO99a1vxTXXXIOXvexl+MhHPoKHPexhuPLKK/HFL37Rx3nhC1+Id7zjHXjb296G97znPfj85z+PJz/5ycsJOlWjFxBHVZGr/laul/2N5jWxSENxQMg+oYUBQmI2Hts5WkASq7il7j1AmTIfndAYDBd6kNtQ/P2m0zmXkQofSblYHrX7nJuR9uPFixekD30jsfUmbYsaTOhEyQdflY1BFT8aWfZfKs9QfxR/errTKNXZhI7N0ZjbyyKrqAZ/zNkvymUkG+EBEPIleYfEeceRIbOW3yEq0imlQzuldezYMbzzne+Mwl7zmtfgUY96FG6++Wbc9773LaZ75Stfiec85zl41rOeBQC44YYb8Cd/8id4/etfj5//+Z/H7bffjt/5nd/BW97yFnz3d383AOANb3gDHvSgB+EDH/gAvuM7vmN/C6aoOKGyT7qrlNdChtERuWQhid+jgxFZmCJWVV7WJK19c8ZBVMHThvUMvlh5ysLo29qsf0mWxUhS5m6vw2lWcnNXMdfVqLhwVQKBy+Y3DEJqKcq1lKeN5YwtC+OwWBayF1umulqg7NIki97Nw/UZLzFPd3wuyTEsl58q865F461zFVrrKqGRpfEkm4bm3UTMIw/d0N2MDq2Fp0S33347iAj3uMc9is/39vbw4Q9/GFdccYUPa5oGV1xxBd7//vcDAD784Q9jPp9HcR74wAfivve9r4+zCk0ZB9V+Zo3f2mheK/Iu5QVS01jJqqep8oJowXqIF68Wx52Rz0Ne37pOFpF5P2h1cLV4XvsRO0ux9oHyIi1LXRcdi+2vZBmUODpG/JbYx9DTRUkLLOYHsPNdy1ttSZr0qZQnnaIoTnUN/mR6Cxi3MK1O6wXgtS82eebBZS3F0Jd/eEAQey+e1f5bK+A8jejQWnhSOnnyJH7u534OT3/603HeeecV43z5y19G3/e44IILovALLrgAn/jEJwAAt9xyC7a3tzPQdMEFF+CWW26p5r+7u4vd3V1/f/z48SVLktOy++ss02SXbea1LqUYylPilZ+XFoMMpZ9cnlJESoPrggfPjyCQYZNFtwAr3o9Y0uit0MJfpUKNvQ6WhKBM7f+px4PElrOdND/3b3FUy+pv6muSyK3CTRTTxiAmMMWylsEB/MtlMgkXXe/xoRlaLu2syQmIhe/E1alf7sJwabVdUr8psS5NyEU9yupWx6u3y6HVQ1Nbs1rWPmgJWuTLm/J8NSU5rGQHnk02e0+MtwZdf1BwYV1Oy2cqHRoLz5vf/Gacc845/vdXf/VX/tl8Pse/+Tf/BsyM3/qt3zoQ+a677jocO3bM/+5zn/sAyEdLi9KpdIbd76z06GnZOknTTOmSaz+JIOt5SsAq5bUsTZVzGV5jaoIL1ykZwFtZWP1Q+Pk5foJ1aiXO47kctaUBnmcenwt724zRGHSIy5dCyDhtHdgWWipnrSXhm6YrW2nG4ubWHRTSpnLnQK1sl1qqN0qcs9O8VyGbvm7kW9X8N6E9ccFFZ235b+h0oENj4XnSk56Eyy67zN9/3dd9HYAAdj772c/iXe96V9W6AwD3ute90LZttuLq1ltvxYUXXggAuPDCC7G3t4fbbrstsvLoOCW69tprcc011/j748ePe9CjaaFuYZ8QyKnAUGkeYRpqfP+LGqBhjgPHulyuPYjiMNJpr5Ekk55P1geJJSLvVqfBu5LyFzU89STzKe2iNgrPwoMTyaS8p8shTxdRQEHx5/vbpHWmwUIZUtn3FKcPdV2XeFmQMRX6Zddqs8SUS85zpMHu48gr95UqybNaDoNP5MMTi+5EP6VT05MuRhbYbnZaXpYOjYXn3HPPxTd+4zf639GjRz3Y+dSnPoW/+Iu/wD3vec9BHtvb23jkIx+Jm266yYcZY3DTTTfh8ssvBwA88pGPxNbWVhTnk5/8JG6++WYfp0Q7Ozs477zzoh+A8sBuwq9mDVnHbxGavOJrIL/c52ZEWVXqA5JPNtVU51OSrZRVSYTovtL56fT+74KVvF9qcCr/IP8iPMc61WWATj51Ns5/rGWnwCRWqTFcie/reRmfIp9EdHwotavUWln46diGg99NacV77sOTpueIc0oL2Su43DKG/Iim9kb1drQui8rAdyuPallRaVVWFGEFufaHDPq1/Jb5fse2e9H0xje+0W8RIL8jR46sUPL10KGx8KQ0n8/xgz/4g/jIRz6CP/7jP0bf997H5vzzz8f29jYA4PGPfzx+4Ad+AM973vMAANdccw2e+cxn4tu+7dvwqEc9Ctdffz1OnDjhV20dO3YMz372s3HNNdfg/PPPx3nnnYfnP//5uPzyy5daobUoyFhG+a2bIhnGDTKD6QdXXC3C2AGXqUnqzochUKmTEE/pNkZsqPBxKDxLk9Xup4qe8l1H3NTykCro2MK1/hZYl7MEKoC40dXilDiNvRUJHQJHjhMjLO8uFiDeCDMHNjV4XZM9XI3tCD7Ey6avg1Gu3lX4cc0GulTXoLhMe6+r0UB9VxtlIc3gAq1VamE/SPbRObUk273ccMMNuOyyy3D99dfjyiuvxCc/+Unc+973LqY577zz8MlPftLfL7s/0jrp0AKez33uc/ijP/ojAMCll14aPfvLv/xLPPaxjwUA/P3f/z2+/OUv+2dPe9rT8KUvfQkvfelLccstt+DSSy/FjTfeGDkyv+pVr0LTNHjKU56C3d1dXHnllfjN3/zNtcg99Gmc0s+GF89vUdmZ65kswmtsVVZZNZYSJSu2lGIhdXSFX5ECoDhJkYKhgjyEgT51hErlKcebOl01JkkJKEzlWwtN3wal0LLAI/WDGcunVP4VFalfes3KQT60AuYgo97JWQOeYXA3oXw88GyQN4qWyCkhRa7KV2mdfdNyoHr1njMCOrXmPcrqMIGbw0Nj272UiIgG3UQOgg4t4Ln//e9fnWbQ9I//+I9Z2POe9zxv8SnRkSNH8NrXvhavfe1rVxERQHmcV4t3qmjScQ4LM03zWL1EFpRMyq6Y99A4vpwm3wdHD+5SkFMaLZfU+TrGLTU+U2pZfDhoklVNFPq0kevUkbo9H6oZjTee3xQbTvp8zFYiAKZUP+HNl9bAxXFifjmPVBZXx9qPa0DUiG8J2Ew8MmL4kdTYat/vUEtYjgba7tgMeVrlK9GQuYdVrIMBRobYLipYkRiM+XyerTbe2dnBzs5OFCbbvVx77bU+LN3upUR33HEH7ne/+8EYg0c84hH49//+3+MhD3nIyrKvQofGh+fuTIcJ7Kwnj+HuLlWRtd9Y+lr86N7dsKAnAUPMhfQlZRbfl/LKIoyUZ0o507h1axJH8dJ8YsCWQ7R0qiKtgXilT8q/XIeU8cplzcuo105N93wpUSmXep2r8rmpINtE4hT+mZctpIs3GSjJk9dTCVbEn03IpfTuSnnEynzoyxr+6pa3wAy/mWl867ItilWKWwaN5rVovKlf8qmh9fnwAO94xzuilcfHjh3Dddddl+U5tN1LbSuXBzzgAXj961+PP/zDP8R/+2//DcYYPPrRj8Y///M/r79SFqBDa+E5XeiwfApjRzEMpl0onzz2sGIa4rVAxo7f1Gm0kory3X0EWhiNcpKOFnDIAF1tWjaWb+m+ROIhUpNzCLqkTzSQyJ8TQklT20kZoNR4leJG+SsLxOLfBEf/kpPb1lN5skxTzSoUuKoXqv5qIEZcqk0GMp8Zds6uHE0LpbnndVWON3Y/0OQXpsXAzrS4Qyve9oPWP6gbsnYOOviccuI1+fAwGE984hPxpje9KQpPrTvL0uWXXx4tAnr0ox+NBz3oQfjP//k/41d+5VfWkscytAE8+0Wn8PtYtENcdnw3KawQGAUJiKg8HwUPXL9l+aeQxxDVNpY9lXskDVEJFNVjDcXVyri2GV8p1bJL31MVH4CMfU1Dk3gaeLCaLhvOm6LrmjQxsMllFeVt6j5ERsDdUOtVudU2CKyEc+lxNY9xyD2tDU2LoePthxN8mkcUMjm7dcuVAp+Dd8Bdlba2tga3eRGast3LlLwe/vCH49Of/vRSsq6LNlNaa6Ypy7jX9TMcjnKoylP4TY0XpUnsx6UuNu26U7XCwiaJF127iD47dc0mzt/z0z/AT2dNLZ/JrmvOtXXFUS1vJd4QrzLftOzlt5ouZPZTfBHPNDWjviw/nXYpl0CcfdnveFyejPPysbHTSO6vP/TRvVROXixzH79oL5mJpAy5GvRswNyruktlVOVPOPh/o82hVBwynk+cPv1pK1DeQqJ4OpZ/dWNfZpZbUqZUwvJbLrfWev7D/IZokfK4FPq1T+a7aP6LxVuHD+MyxGxguF/5N1xHMU3Z7mWM+r7Hxz/+cVx00UWLFnmttLHwrEjMDJMqlVPwLawzizFeVg/ZHmfKWpyhPKIphGQMPtgds05Xz5/ZLtxsC7zlDJkGbeDrZrVnLmzOPRoQmIEeBi0adGy3cxenV8McDklV/0rdhCMYCNr8rBWEhBIo8xFhHycNJ59S16OooHQDOoZRU0xaknyKxrj3Cwo5hHzkvRvFi+2OypEEiF6MgUkAg7tiASoicVqTil/ypnU7isrB4mvDABoQSYnlrcStpkGDHnOEbQskrYrHlgdlLS4BiJmlR5UmAi2LumMPfRFD6ZZ5tu4466ZF89zv+AdD65rSWpTGtnu5+uqr8XVf93XeB+iXf/mX8R3f8R34xm/8Rtx22234tV/7NXz2s5/Fj/7oj55y2TVtAM+KpLultMPf/7ylY65ND6yn+wqKd3xtwhgQMurB0AgxVZO+njkOT9MI2OiRg7MQroEHQ58R1cMAaEAAOvQOkATAYwAY6osqmjxPfa29dUI+OeCJFaLxdqdQT+QBVOw2bJKDFYAAJaDCgwQhdlDlIaxXPIIcsdKPXXlNAl10/vG/Eh9RPC15CfDEoDKFSIFngJmxVSduCcwMpsbHTltJTHErLd/JOuhaqwSYp4AdDaJqDT0FgONf+PIxyuFlCLpfJG1POdId+GzSwYEj+931a+CzWBnGtnu5+eab0TRhwugrX/kKnvOc5+CWW27B13zN1+CRj3wk3ve+9+HBD37wyrKvQsQHZZs7zen48eM4duwYnnLRj2Kr2R4wca7/61z0lS0KUkoP9QeyyIZ8GeBhFcaIHIYBRGZrHe4nIVjgSBxH/ho2XsWlFqTeqfJGPTMw6MGYudA97tCgATGwhw4zzNChg3E8LfcAeMQThpX1KwI8rC08ZRuLV95eKbKTSuwqQa2GPIPKl8ME804sKIcA6mIYFC5dOHEEwLgCeMIBhim4CCBCrILp9EfMU0vu36IKLUqLGDZCrbJyuUdnd4nCdFY6ZjTU+tUqGpBG69rUbsgxhGT3fx3gBDK+3cbc09hJuprPz3jKQqxle4A8nDPZHO0DCAlbSaR1I/8ss5HDqs8tGTa46+Tncfvtt0/yg1kHHTlyBPfauRxb7dkr8/rCV9+P33799XjGM56xBslOH9pYeFYkPaVlA7IIa+0M6qNNebi+zMxAp1pbuzDY+XKsHmX6RAOTWjdvOIQI+FBBSlWK4rLQRvMSdS82HB2mlbaBQYPGPQsne+d2k6yE0BNLS+99NkDTFFiaYmxvkXx/IiSphlVLWarFZC21gKk0HXZHq6rSgibgxobEYDPE1GCsXse6rRMX4nEWsyB//g6mQC2Rc6pzep2LesqV88TijanXQAPtwb+e9YCXqfHs7twLsl4zbU5LX402gGdF6pnRDFlcSP6s3huklp1yruP7WUz5VgsLcZP7ihpM+3EVX/r7aLTPY5MBKDohay4pCJT7NlG5AeyEePKvAfvwZCwf3aVqyRZpSOHn8upnQZHmSrbEJY4HLDefn46ctfJO78O1Vp5cTBd4D4OdOpBeVZPohefDQIQR1QPrdyLPjE86LOfIF+e/Caqjx0H+tZAqvCpIxlHYMCSviVTvW4JP2zpoDMCisH/E/pHHVmst47KyrMuH56BLcjC0ATzrpko7Wm5FwzDbGsexwdYy46KSNSneen+Yh5mwR0tNzWsbCyAgKS+hSaSMLEFOBqZkykkBHwZ5Dxmx78SQIlbwJbiQS5WDmLg0qUJmFXvsreu4Ooyi51LSNF2eL1WelWQpgZ0xKimnOp+hdlKGuyqPoh4MZYydqWWXX/k1gXPc6EKaFIRnViJ9yT6KneYbmxQuA5dSfdRtjlMgzQK9Co9jtWlAas2KlgiL7R+xWP4+drEtbeh0ow3gWZFkafhUWmYsUlMJQ9mu8jkW8yr24xydUVXlIcrBj3RTlR8DE/1MW3f8Fbm8kzQBGGkwkapGmcBqo7ug7mJgYqKnpK6A/M3EPilT3nVc5jqYsiqZIlhiotRxbOFXU5RlWcZj5hIOxSoDqzpYGafpKVIgV3oet5PwxD3juK3q1VoZIGUgPXm7XJ8lsJO3/DrYi/dEqr2ztNTrGHBNcbuuQ7OpuZSCp/Fj1R+tSmNZHhTcYbfVwup8zkzAtgE8K9Ki49xFLbDDvHngzlLJElLtTItTR5Km8ITgHDvrBdJTWZJ3ZpNgDRViEstQfQwb3kEKdxjsHZwZDFB4ppeZC3igiJ/8lyqXIQUTKytWEoa/6VQS+fyGajHNKQ8vxVBO1UnKlJNRYctT+l5zbosDltoz+9ZGWVDKq/AOs6XzGlZa0no031055ePeeCl/knildzhRsU9IM7WLqfnkJBmmWG6ElgE9qytgIlqbIl8neFon8caHZyXaAJ4VKV2BMkqUXQwwX8W90JLsGTOaFYbAGCedeUxDI79+xGmbhYHK3KsdV/7a7s25F0oKecJzk7wp6ea1dY4plDNe6M0qRV7O8rVOXyIdKquBmgnxh9tbaWUTFeFMopyrOaYgri7ZajSuxKfmE7nA6+kjBXgpqcfULyIcZZnmWge9uSAuXlEJj4HBOpAZsh/GQGsavyHiaqQpdVCXc3Fe02hV0MOuv6QMKGcxl85jFbIrRFe38ByU/AdNG8CzImXd39R2NAJEhgGIxJkwgvbuDAP2Aw2sKvKXuv1AYQv+SG1Jx5MOqAvXVsbUBydNVxLOAZfBDf7ILVfXACjeUI6twKoeGEzlsXQ+/hfpc7+m9MysvBwx8BhXD2U1XH9DdbVd+jsEbYahzzo60DGe46Aofx4gTvahDoDxHDrbe4qeTsm/9pTz9jc5tUxwVrJdxDAxYIypg6c1MFe5jNNibWthtx6XR7QKa0N3S9oAnhVpUR8eTxT9iciPPdf48ZlKBzk0jZXKFN/nfDKvgUJnyQmvlI8HTsXjIXIZZMQb8ywr6zhv7d9j/+0Vn+Ank/PJYW5as7GDcN02FIeIk3WqrHPAVKMcSi2mSEvwbAoN5ZrDwzoRypNri39g+i1HcrGWKWGt9u4JCnMICpZqN3X8LsVLbZk1XnWKy6Wuan3GFNxR8iev8lvknVSQxD76kUh207JYAuzsn+jD2TL7PadW4rMGWU5H2gCeFSmb0lqwJaVzxbY/nvb1TZksScNTh8caKBljWoqjrRv9QGc5VEVa+adxS+kaOBXJIU6chhHW4MSgqBzGhfxLjs+pPLbA6YRTmA7LnbJjpaeVfVza2CtJUukdl1MaagGlv3JdU7olRZ4D3DpNg9T6ejhF4WmOcLKYsXWm0LIitgKQQmBm1attwLdoHzA5Qdri9DsYdpQfzUGmlfVGM2sbcBHYpD4xCzj2r0E713xy4imsw0/r24fnzIQ8G8CzIo0fajdCpFfeaMvOONMxtVZ7avu2xUBaDXikXTCBwkaMVb5DYCZ+loOKmAzYl6WcRlRXSdHFbsbl9UMx3ChLUaZhMCIdfuy8GgOhsv1vPEzLGe/TnD4tcxzLowaMhqkeaxneY3mWS1Urde77tNi7DgmLe2hXKfNhLrbTemqZGpsKHobZ6ba4XoVofWu0b8yU6dt15h/AjSX24cvRwQAG5n4tq7Q2gGdDS9GqFh6fjBm84Ne3kLO0Im8RKVmZa3kVB9UlpZKPPnIVNgxj6iquPLJPQcrQZFjuqBo8h6JuhFK+8p73o5tOJ/loUj6lEb7mMgwk0tAaXCzHHo5Tln3M+MEq3vL5D9GUliZgvWLh8OFDoGB6HZpaPhPTCzherlWWvqep8iz+LsYdgVehcb456NnQmUYbwLMiMS/pw5MyWaIzWCbboSN6hrvp5UfxY2qmBH/GVXX+rJx3br2p5jSAW+30H4Nh3BEZQLRawnlKpvno1V7BsdtArDvWQhWOEmXYpfTaxdrGlRD28fTo3sbS55zH7yyc2577OxFgV6jBAW8PWsK0X+pzEh8qqmOqeIXl21JvsS1Bl1XVU5I+XmNlfGr70MnrrQik/DjykX0sUwXsLYL+M15TGCEBF1Nb/SRRpsuwQtRFaNkB2jSaOJeY+q4vSQdnH2GsY6flg5P/YGkDeFampFNfsCVxdrFE2oXCl7NSDIEJoXzypJa2HpLu6jMF0OT5KSXpdlcuyZtaFHLH56Dmc6+diS9MCVfy7rEyuqgubryebBkIqcOtIhCINcRNg5by6WZ5mhgI1evEQPZESmFmXqfjLTTPT7eDkgtc2S2OCw85ARH6205lXUZtlADcCkSMeOfmVYiX81mfyHvfWDv+o8/daz6dlb0dcG18eJalDeBZkZZepeVolWa3aNrqSHahtGUOY6ukamlzFRJ34EO5lqw2aax8N2IXXjgJMAU5KVNRcUPgrwzlKItbCl2GxpXmmJLWZR/KxUqbewLl1p8pkqwrZj1VDajpbyB2Y87B2CL51WNUFxcUFfCitURLgpTalzOV2WIZrqZeV1XOHH2GwXZ5kDItm+u69uE5M2kDeFakZcd5ANZw7l1ZvZbIoJzZsm6xGf/Etj62x1Dp2qhJF8pUayFPF7fhVOWG7ixYFtJ8c/CEyAKhD8pM7RhDK6RKZcuVbBpjePF57Y0MKa083TA85ORfyp4tphBLPAfiFQ/G5SxaPZd6eLHUDBCpGNXzrfRbNEidzOP8PAQZJ5muq/QBozW88EqJkfjZbtPro6qoa/OlqcvMgiqzvOrvcUN3X9oAnhVpWcDD4JU/+Kn5moGuf7LsAye1lxwvh8BcMU/ZVdndNgW4kPOxACkHc3Hank22JDXdlyj4iyQqLXFSjc8LL9dJnHsACTUpCTm3NPbY0Q+alw5bfMVXyL9kubHhpfZU+hJKaUvy6Otl9wJyqdmgoQGnb63YWUsTQ285QDRLPiRX7RiU0hEbOm75g6jn45+vCTEsscx0MuQd6uYmMhmOVv8iGPvtKH3qaV378OznHkiHmTaAZ0VaBvCk1pAaja0mmMKl9HGU003zmsjDOXEhUDGrvgU5mDGJw20PDT0KMnBw3bPqLecpECUEhjgGjIZtHqyUlN+zxzm6asdgza82xVe0JkQwaer7kCc1vxtWz2NoU5qa09N/6USOzq2UV3BL1vLo+l7mK8jhXwwma2ni6xoMj7lz+thFkHAufGwOePktD8pvQUs/FX+sZzplfWCnzm01Oact+JrUiy2a8zpr6FCRPTx047S8LG0Az4qkfXimfGSLeNivCsJr/iu10CHZa530sP9SrceLlZVWxoNL/BUvE6WJx+MeRLHEYoDiGLLWoYHVe97ik7zLHHJMeymxM3XJtVq3F0aaY3gew7fyteSRg5mSQ3fspD0EqtKU9u+QlarOQ4OzRUjXS126Yu5pFVGopbxsKg8xT1K5BorHtAweU8F51GWmsaJYy9RjOXz4u1+SphxKumoeA9yWBztnKhQ4M2gDeFakdCHy0Oey7KF2NUvPEDczMAqYMn6eQiVAlSm0QueeptIWrxhaJJ2mepjmbcfjsVVDL+RuFSDQ7ywFXY235rCPGwBtiE0Iky/CJ3WGZMR7J8enscclzMHNYhT45TaPiu1igFMAJyWbSyr7MKcpYLHs8m2tbMvVRboVnwc6LL47DObCZCIrYMf6CNEcYGUlC/8AgN1sryBbffiQx6yVbh20rpPFTxXfkUyxVrBySM1D9gzAzSqtZWkDeFYkBrwlZqgrWmXvhEX7j5plp8g7uR+fhHL3nJZoaMSdTk2lsCZPIdclT4pckdYkCGq093uxEHpoxUNJ3LDHjfZWCTno+Kl79RBpsJPyqZUxL9cU+DDEV57FUg9zrfMqwbz0eYmrLtkU59FFlDy76LHTdcltPfd4SpVm+TpzcK8oWxZZUvmWVKaLrIjLneoqsi2r2Csi8Og81hKKdrQD3AflfVjxwLp8eM5Q2gCeFWmKhWeqz84QTTWBl0ZXY6pkSl5pxNoOsUUgMrC7qV5gWRrly2nn4V/4k8/TVPmklb7TEzlGQZrG5aOViU5twGgj60s+ATc0kZSqxwA44jJox+YAp+D5pwCSfbp428KC74qnuutzrvtKcKtEJaCbT6TFdxpwxfC8BEOGcq0Cdka0/xLDWmwAdvqTEdVHtvlnDobrEtW0f3pbBkaTEmNRbDKSzypgp8aSzQFYRg4rMtkfWtfREqv7kZ2etAE8K5Lh/ETtmJbv4KKnE9jU5BiCQGXQVHIYTka4VH5WCyMOQMqrFE75pv9aEiAjCixXkRIe5A6Hf7J66sANB9AS7zAsh5EGGGtTBQCizzPX0KgMYFzZs5BY7iBpXgOpL1CZdFlzi0lco5zFjPmUAEyNavBkemc6Bh/CoY85ECmlGNfjAiljG5vFOhy1rXhCLGnPKt+h0sZQdSpYqo04VkETSoq1sMpB7KkFO6dOYZ+Z0ODuSRvAsyINIeUhP5plqWYpMTwsyxCVu+GyVYYTpZByGFLJnl0BuOS+JxrIOJjBYbqpnAd7cBScmgNYmUGmqYKisqPS2FfD+/6wcXlrl1add1nZi/2mZNeIyxe4BqtOmXuac4g7BmfLDSaWsgZuKZEpgIUc3LB6Oj7xsshkoLAst5G0TlUCfc9wTsix3Pq9l2ohn7CLayO3qKYyKng81dKb+i2ttEdOUqpRVovnsZjPztQ6qEc/HNaJg5HB9k4bH55laQN4ViTDQK8UrQ/fr8+SlcXD/x3OaUgllp+7cI4tPQEMTKNMFbB2rUgtGiGPEh+CVaZmRAKZamNO+bNz+IsnpwyAhvXkRg6o9BRUbTVSKnF5VZZW8kNgJL4KtiYMSFBWymn+dXCa13wMBmINVFbzJRkW/QpyHtN8jobgZQgJoEzXP2f/hjsqAhVv0RgBPFDtvUxFjT70dEHiFPqtlfbNQXmNgOzuROvbh2d1FqcjbQDPiiQKUmZVS2P7dVPqLDym/qY+q6lJOKBSG82O84uvGiI3rTTGJfaWISotg09Hw/YdlOpI/HRMxDXs2CwhFjQxDBr1JF5DlVp8coUyNNEn1oOwyV7ahQVbVNnOk8NFCUlzFfsYV2QSHnUAlsetT2NJHQ+D7LHWWVDRg3s6FcAlc+HohlAHaS1C1RIK8Ys0Re84h+Zlp5GWTJbxsKJM6Zem9l1UddZeD//9ooPOfzVa1z48p3s9LEsbwLMiHTl6FmbNtr+nFTq3xaneGQ+rlPrT4hNfnpoNYIxXHIsAGEqfDgMeiZLrvRzwAIytaAokzmFL/HYEzIF8WMOE1kGgxgEeK3OAUQSKoJDwFTCl75n0cRmWxEdIHKbZuFRR2VI4FW/MmJdOYBND7HIME/CC/7G6I6BwLo+AUfJcDSgCIWQ73kjWXPmxl0nDwzR/FTuZbxmC0yaKH3JjfRuBGDkOpHclcOUYBGhcMO7EYHmMxmOdAsWz5imn1Yw6Bw2Q1sPPmB67e2thtaFTSBvAszKFjl52C5Z+fLKPguezSOx4amdwV+Is7WJ5GQoKqjS1kKu5oSvHi1F0SEp56dGpVeCUHBORpjAw6NEkTdum7mHQo8WWCu3Ro0cLC1p3+S401IJA2OU70dAWDHcwTlFaOfpMZQdAE6/sKR30p+ufHHjQ3MTuQNH583rNkPb4CT4iwRaVyhDqJpVayx/i5nWatq/YPy1dLi0TkDkQCiukSnVSBq+B9BRUuQ2H9mKjS4rceZgUGFuOpkxvClAs+UqdMpJ55DWNxPziA/9+9rNcqbXvgOowpQMSY10+PKcAZh9K2gCeFcm4/wBkDXH6XqM29iKU+5kslnqRtEFRyph5yJ+jBHPKvAS8xOP0MjebrnTGURkixfuBsP8PzDBs/FSHdcI2aNRBksEWoWRV4CIvoSjQeJqqSHoagAJYycuSWy/KCj9X/ql7tMuskI/IPdwCSq14yKF6Mg3qr9LDKQpvJE5aHZQ+KCUpf8npWxnPcBEqAb1lSbW3NfrcBHb7pz7jLS2medDtPx2cDIzNlNYqtAE8K5Ig7vL8ONeXVZXiTs600uAreZXG01NzNlxQkkk+Q6oiDzHFKOUVOGk6BtAD3Fbz0CMg4gYavsA90xMZYlng6IBRDazEVZsBzjvctIRDT/O4ubrUsCtXeYva5uJ3p2EZonqppamp+bqFbTjtUNSpJVuuo67D8LqsU6DKdCiyioJZg3Jao37TR2MQ0UTfoKVyKnRpBw16zkygcHehDeBZkZgZZmgjKJ46tTXtQyrZF5QwVRW1TK6xl4jKlykBPSWZSmAnXQPFaJLJkFrqGCj11Tr14MQDnJB32F+n9/4zqlAhJou/B6LVXnXlXpakHhRDmZpdJ02ar1YaSjFEY2kq5YyX2Y3wYfU79WQXUE0YcIxis7L8OZSttEcnwmKLGfazzmhwI9AxCvsiKY4LgZ51lG0V0LOmuj0o3CNT+xtaijaAZ0Wy/iLtYJyaSXxRSuFCOQ4w1cg+JbdwHT8jHgM8ORkyWQzj/D2GpAvllmelo0LlTqYXe8DtvBO4GP9v4/gZ9CoM/q9X1hFISeVkFa7rwGS+Meuh+nuNfXpKUGMZhaR3Zqa4KkYh6gLZVB+eGq2SFUcsTjWr7Tg3xWoBa9cpomXBjk17aspSAlaJJDil7ePQkEztr0qHq1SnijaAZ0Wa6kQ2DnnGgMwio+VVDe2xmq4tsC5ZWeoLn7UfUPyEoumjXDKT7GpkF4znp2wxOB5pUnyUQnhPwYITLEE9GC3CwurGA60gu/ytvwfhWQOeAfw6RciyYkvH1c7FWvmXrWG5BMv4i6xbkU0BBmNTY6vkPVSedQ1BhAZ4KaU9zcqzX4oo+eomGL/KPGL/PaF1ugflYGfRtrQ+OmywwFqfN/vwLEsbwLMiLeY1P9wJL553fQJk6qqt8hi2dCxoKeYCgCdzCo7zK3ejiXVHmRiY8hSy2snnwFTZh4UQ7DjsQ4Js7p412NG5pYuZ5a8Ki6Z/CrIWlP2UFlC2pQ2lDM8Wm+6sWHDWcy5BxKO+gim2WtVlK5M11Kj8oirXwHXVKecayJ/O/VSTAJTFQM9w5PJeXYvRuGWnmnKlfE8Nxw0dNG0Az4o0ZZpJx15sqbolUwVUY+pqqhOzfjZ99DC13EbtB1NOFXyCsskzNuVU3Ge9tUECeNRJWHqVlubHbMAkwFV218mnrpJJnWnEIRVJOTWPbC5lElNMV6HpirFlpmj2gVbKcvq3thjPVYSqTK84RFHcsLOm1Dm7KGQ34f1PAB6L4IrpQGb5qSZZWZl/69PzXNeM23hxDwYOyeKL9fA58yifFzik9BM/8RMgIlx//fWjcV/72tfi/ve/P44cOYLLLrsMf/M3fxM9P3nyJJ773Ofinve8J8455xw85SlPwa233rqkZOIBMu1n94KZ/l+PfoDf2H/T5RrnORQf1fgmk7/Cm+XH8W9AhqCobCcQy5PIxEaN6l1eysE5xGP3zIanE3Ec5Zm3hLrlRaxFOpyjp6W2FV+HMsdSBx5ckGISTd01dyHGXPgdFHFSRg08hxRsLvfKpWCXZ+k3KX0l7aJ8JrIy+fbmI7Q46mDwiqYwN2Ay08q0puo75RT6ydV+ZyqdFoDnD/7gD/CBD3wAF1988Wjct771rbjmmmvwspe9DB/5yEfwsIc9DFdeeSW++MUv+jgvfOEL8Y53vANve9vb8J73vAef//zn8eQnP3kp2ZaBFGZyrGVByDCIKSmikF85n6H/4jzi+xLPcv75s6EyGMTgyLidfy0PE94MG9sLFsAQIB0II2yT756yBifs3zUQYEegMlyBileHQbUUtbDyCG8aH/WoiENGgAlnF1MZL03r1j1TpPN4pJKuFFosec3cUFXsh1HTLvKu01qaVp7617MoOUvxYazGtVG/pt/dupKqdOgBz+c+9zk8//nPx5vf/GZsbW2Nxn/lK1+J5zznOXjWs56FBz/4wbjhhhtw1lln4fWvfz0A4Pbbb8fv/M7v4JWvfCW++7u/G4985CPxhje8Ae973/vwgQ98YAkJzVK/OojR/w1Zd6bymPbfMAgbS1mOK1NMdRCTW2zi9L2/Tp+F5wEc5nUbTskKwEvyMplcYKh76YbTKbW8TAAqYTp+ejypti4tAxOGYrGSaJWObcznbL3gZjyn9anGnPdwSTL3nyq30nWB2yHRNzSyB9Jyzs2e+7IJUykW+x30Vj0bOrR0qH14jDF4xjOegZ/92Z/FQx7ykNH4e3t7+PCHP4xrr73WhzVNgyuuuALvf//7AQAf/vCHMZ/PccUVV/g4D3zgA3Hf+94X73//+/Ed3/EdRd67u7vY3d3198ePHwcApUAXpyF/HrPWL3aY17S80jjpWDc9wx3FehnoWt2z4MuTq7d8fB2o7OvDUXhQZ+wsRBqw6P2UNFhi6Hhp/oxax86FqylAJb6nwvWUtItGKz24e2kNeYtjalhaYKo3U+U/XjsDMYpCHJR7cy3f5ffr0TzGt1PYB0rXC9xNyPZZZ+6U1Kp0qAHPf/gP/wGz2Qw/9VM/NSn+l7/8ZfR9jwsuuCAKv+CCC/CJT3wCAHDLLbdge3sb97jHPbI4t9xyS5X3ddddh5e//OVZuGEGLT3pW16RMHWOddFcp+ZV5juWW+xEXAYsY5zCUY9ilxlOKautQl6cxZOprnSJulNoFMcMsItdnHQ1UY1qz4bBzniHL89J/a2pbkY8vJ3KO0l+KKkGyMZA4KksUG2t4RTaX3A51kWVVketZt0RqiOPfQM741mvTAfn57MusHP3GsxMpUMzpfXmN78Z55xzjv+95z3vwatf/Wq88Y1vPGWbXQ3Rtddei9tvv93//umf/glAsPAs+zPcR85khsemsfQU0GK/Ul5rnShLfWpSB2TxlRG/muzXK159IS2Sn7O/aD+cxDnPKAfkHAjljs9yzUkYR2HjgCI8mWJPyPOP81i0cxqyhA2Hnn40BdSV6rP0G+YdjlNY9J1U8sqObTk4CkvKQ1sM5ZxSV2MUp8+/vXXmpWhUdRx83S9E1b5zwd8ZSofGwvOkJz0Jl112mb9/29vehi9+8Yu4733v68P6vsfP/MzP4Prrr8c//uM/Zjzuda97oW3bbMXVrbfeigsvvBAAcOGFF2Jvbw+33XZbZOXRcUq0s7ODnZ2dwpPVP0o90tnvUU/oYhfziJgaN2yuNgUMlB72A/kVwjgsRw9BiVWFy0vePbDxnaJRcbQTdKk8w5ab1TvsKRajNbE89J3+xLYwgc+w/ht7p1PiSNiEQdpaBnJiwphi7ZoqzpS6Xb7N7LtlZzKtAjgPSxk2tAgdGsBz7rnn4txzz/X3P/ZjP4YnPvGJUZwrr7wSz3jGM/CsZz2ryGN7exuPfOQjcdNNN+Gqq64CYP2AbrrpJjzvec8DADzykY/E1tYWbrrpJjzlKU8BAHzyk5/EzTffjMsvv3xhuQ0MaGUzIzmgsBifZTsOAqG+t89qNAVIDT8dAkylsH4gP/YylTq3HMKYQrx4d+Mp9oQyOKrtklxSoIttEThNUU9Je7rSmLJfY068vr1eAsNVGFDydzVa5ZytCdxx4HOmK9f3wdLYYHIRTmciHRrAk9I973lP3POe94zCtra2cOGFF+IBD3iAD3v84x+PH/iBH/CA5pprrsEzn/lMfNu3fRse9ahH4frrr8eJEyc8SDp27Bie/exn45prrsH555+P8847D89//vNx+eWXVx2Wh2gVp+WYz6lJY9PJhnSLpJkGQHhCpzYOiBaxPOVy5I7LZUCQyzpgyeE8nzR+BPXUBocMuAMkNQ/xIoKyatl/M4XDMXTTeROFKTFmjviohHYDPC8vKcNAUlcszrqFnaA51AXDgNyJZMFrKK33QPEqJyeHW0IcO48PudDmfNOQ4HcVSpD6Yu0vLZjPIVO+++s9sMgBqvsmwmlOjI3T8vJ0aAHPVPr7v/97fPnLX/b3T3va0/ClL30JL33pS3HLLbfg0ksvxY033hg5Mr/qVa9C0zR4ylOegt3dXVx55ZX4zd/8zaXyX3RqqMZluS9x8Xw5UVHTOY7nxQMqaTFO01OW6n54ijBVzZyxJeh6EgrTXcaDhHgn4+jfZEdnq99Tp1Z2eEPnZdWzblV+h2fWIak1KNkdiJN6qODV9J3F4CCuqxxImkKsOEYWqoEj668njVmahhyyZOXQK63VRb6xqfa0/OEhsGKsQGu3YGUZ7CPvw5/9hg6YiFc9/OQMpePHj+PYsWN44L3/JdrG7g+0TFenO/T9HoXGSrQWZxX+MvJYvhzD1qdcOjulmKwuieFMZYKo/iT8bVRoOLQvbDxronSROk4BD8QaE6+iCoAHiIAMadXtJM0Aj2gnQnBOF6tRXg/wqXVYem6a5JfbbYpHJAyuTIolIF+oYNGJr2L5cq5DgMemFLuZ2Hdiq1oZ6KcWoKEp0ro8EvT/b+/cg6sozz/+3dxDI6GNNSFALlCVEoMEIhjpDFZSac0gtA7WGgOMLZU2VqgdhNYif7QUL516YdBOnRZ+VCqVDigVRptyUXGAGCAiBBGBBrGGaCUJLfezz++PPbtn77ezJ9lz8nwyZ3LO7nt5nj173ve7z/vuu2bnlXV58eOu1XHXzHuxx6vt8oWAx2yBYf5b8F2aGEFX90l0d3dj4MCBAZToTE5ODi5ciATSTxAuY/Xq/0NDQ0MAliUPSR/h6Wv0ER7vzYA2GuHlZPZel6h6D3gTJk61xY6D4HDzn1WHIh9Lt8cgFhuws02E+VRV+04oFmfRdppmsSPvzY/bDtAunSrq4/GSPNg+x5/Mt9snlRhcxNP8e/Jut7vj1pvRHbU4D6ATTHR0B/LdYImtw4i2Quv4djIQ1KBg8h6BeGDBEydS1+Pv5LFemC8RrY7VuK/buux9FDVSwP4qxKok9X1RbqyKTTK2FlgiiUgTjPvVkSEzWwVNs2g2+0bd2WitMrMUgOlaJ7LMi+8bVwkgu1RKh6Y6wlbZvGhEx7TOYtkN8TfR2niS9mGwLkonAIK9WJNOG3dnb3y4Fcfuy9OemsF1iIb2sRcVh3Pb7NeQ3hcM0sK3aYi/f5Bsd/OoplQjNOvwJCvmz75y85ysy5b7/D6uwvoxFqr1bQx/bu213mtYzYe8r+Yj3TUWidpsbi90r9jjGczW04n6LmifEaZsp4iqHIL+mV+iUnYsTUyOqcWOdcNnH2+wTgGYXQXr4xROjZ5+sMjKVjLdl4iR7qCuTZ3r0X9yJwhTG+PvR/Nb8vx925en/t2Y4qnPdleX67r9G9KnrF69GmZP8vOOdPF7yy23xGtS0sGCJ070QsWdeLAXBE77vUgVd89md5ZNzpao/gRyWEDRTMzot5s9h0v3R9pjr3+Wlqg5SnrZpK5F6wWgvcMn1nCSZitMPqllhqD6pN0H+Gm0LLttTWdl17nrxSEgNfjyS5uWTLery/JsqQPaY+oPj1EbV+VZiSazjtYpTxAEW6Z55DGIeSIOJFBreDt/kkP01NfXR9/F8/1L5+Tu3btDsaBvb8NDWnGi7RDdpXdzwkop4h3ocNvgkou67DpRu/rdjY2IJBpnq+qGD7S7JWElJ03TTDqV/8eeoxV7ZIVSI0Qll7QGkjSMlaYIIuPVgJmvsdvCjWnV+6LDYso6IFp7nLtpdXnWqdQpTfeZdm5mJdiXpPIIvTL5IwF4kUYEcvFzFGL/bAsMU7SJVMOcQZbadxgvUFKDtLQ0NDU14Rvf+AbML1LcIN3YMH78+GCNSxJY8MSJHLHxksNbWruT2rmZDqYeayx9V9p+5yCiJF7Mykm3rpdERfBYXc9JzwmLCgtB270RCAKJANKiUy70wpVASFfiHDFhG7vTiAQvM6DUx5h0+8xzgKCss6MO4sSkkkXtqvbeWnRa12xboMEHvRCzSid/Ios9bm1wj5dpSJ6qNz2c/n9D/g0JoLS+1qoBz+fxHxlMDqSHXst3ZVq3j+ZIF19Hjx4N3K5kgQVP3LgPW/tZoNBeMFjXK3r+4XtfnE3/SAfzUs3K1X42LUcA7CY/E0RFeEhlwBC5IJNyBQjSc7eU7y0maOR9SnxNIBBFIArpmlKVd6o+zngHkFmETcqgSARXX5FZHIKUGuTPSr9Bxlz60gTdu1hqbe9jvequ2ytot78NuQHX5/YvIgRX9QaIa+1ok9CFq27m2rgdqlCWTnAo0qsg6qtbzwOddxbigOX+/e9i9OjR8C6ypejO8OHDE2NYEsCCJ07crrTsfnjJWL6V6LHu1PzW5f52YPcDeaaxF0059t1zmuYTgKhg0R5zszVcNWmiQznq2TqICipCNBokCKpjrS/PzE6zBkctdgCjqKCArqq15Zst/6I/yjAkcf4GjSnMv08i847WvF4zrOI+bqOYhvFQ05TWgs+sfpsImr66IHpIVbnmnbfLX1zAiqO3lmrzHZ1JhH0OZfZlJKmyshLeozzSxd9//vOfhNmVDLDgiZPYlF9rva29GveD+8Wm4q3L6qra2K27j1Y5TX51LssYuTHKkQjSKF1JHoviyJuk4StDfmUekAiQJHgoGh9LV46GMV4mW0yKkDLvYt3FzcyGhXS7NelMdzqkUc1xUs3j0R9FdwLHaU88+RKJVvLEtnktw2s294l7KzpiLWISbYB1+b5Gt3zdXZb8nDz5EYYOHQp3UR4Cou3fl770pYTbFmZY8MSJftKy+c8piGdtuZ2kFsRzVox1aQdW5B+QlxLTNJ9kRERs85FqarGcz2ooTZSFIQkGUSSCkEaiEuWJfXPRoSxICxSmqb5P6V0EhHTIMSQ5IqS3Uh83MEYTtOnJsFYLmbyPRk5cTlZWle58pijGOYh1L9Eom7bXuVn2Gp73lt94/uqHvcyFIgEurvZdWh5XXxtcR50yi+unih8+GDJkCKSzLgJE2ydrpON07tz/Em9YyGHBEyeECGwXvgusoZIlj/WJHWRdsKnLz1yk2F1QsfLd3eFmvF+KLEWSlE6ek6MWZVJN6QBBWoMnqiFEENIEWfiQzib11TxJ0SDF3JgIkSImaYpXRh+dsB/4MeY3vxYm0d+Trh2/AUOPHpszpP5G3cazrC0wk5LGZ3v5L9t+QM8+wmBXt90+b8fD4pv1VEYy4zrK04tiJ6xHv6dHfqyFneSW2sE1a9YgJyen94wLKSx44kQk7S3PmmA5BftUWwIgmKwanIi6AAAmdemHitxDhhWPRXKe9AxEHw4hpEGKeMixE7Ma5KsdRCMz2r2KBJHv2BLUw1XquE7ULsqAPOdHQBqkh106N8n6erUxH9kPmNwOrJUQhOiIm6Et00orQbNFG1OyijK5Eyde4zKk22D1PcXsdoP72E+iuiZ7sePFj77G7vfju8yEe6Y7d/txZEfNFVdcgRUrVqCxsRFmUXkJ6VjdddddvWlaaOGFB+OEIEKky5LgoOgqwyQ6LLzn/yXXRX1UFymrIXt/ieJl1SrMsSUNnV6aJQEpIokuq5f8F/0+1C/JB/t8IiiaPloj6eM9Vo2t2ZCUXVLn6dpKGl0D76651x9Hk5yWH/W+kMl7c4udLPJHPJEd/Wf7aFKisO6jrc579X7H0h1e+jTB0duTd1nsaJkzZ070ndlxkaI7W7duRVoad/UAC564iTUj6tV81Wv2JuLlbvXiIP5ETflx1iNEy1DEk4c/igBktkq17jjYlm0h7lSCDkpaQF61OfZfLXl0Txm3bYiNsRj7swkm/7Vnm3qbpJ+itqvs0NYkqra66fzsxZHhqhswHClC7LrT7Qw0qxrM5IlT5x37Hp1qsXmZPiHei3gITwcd+N1bvnzz0+JFcwZif1CtcDjIzMzEhg0bYP7ICek29K9//eu9b1hI4SGtOJEnu8ZONV/3GnisszehaMclTeyNvzRAQDqs5+FY5ROQRnBhQwSx55zrkRoAbbmi7p4dWQgBEaSDolOk05AmzfeJ7pPnCalrSSMREOQO30SwkO6NMq6llgcwDE8SjANpivQyFG/0Xm8LmewxMVJXv6DJZ1a6drdREBk/md0tpZ8U7u9sl6dim0/4NhOTVsT/a/PfTwf1S6eQiB2fdXFUx5Zp06ZF36lvU5falIMHD/aNUSGFBU+cyIIn1QmyySFc9pnLTOzou0c5jdlN4pej6VVr+9BlScJE5xddFs8reS/T/6TvVunAlUVSXFgrxTtcJHSHQzpSiwznGzZiuE1rmG+kThbn2WEikDxm1qGdB6Xdpb7jjyze25Xt0bo+FzthiewwiUIQBOzatQs33ngjYu2UdHE3atSovjUuZLDgYZICAnojeGZXO2IRFTdGJGASuS3J3AklwvZwHA/BvUbW54z+j98PZc2lgISPPNm9t4RP0PanIhMmTEBM6Eg3Rvz73//uW6NCCM/hYXoV36PghGivoZ/obJXYZEI0qQVL+MbjAyMFXXJLQlzvM5Ed5PkZtBOkyJ7E0o9PZo98+OERSMcrAkDA4MGD+9ii8MERHp/IVxui6G0uSrLhZQTEVXm6CInX5/6Y7DGrIGqo4LxP2RaNyJB6SMzd/BRzqxId4dEN5bn9ouJKl6ghrQCHb+DyHBUEQHlyvT50qIqueJnuY2uXxwIU29xU7mF/AIda/Yw1/awwF7n91KipOz6COdfkeXZhijqNGDEC8rl85kxPX5sTSljw+ER+Jsmn/2nrY0sYhmGYvuDMmTPIz8/vazMUErIeWwrBgscn8jNJTpw4EaoT3g89PT0YNmwYPvroo+jKnclLKvkCpJY/7Es4SSVfgN7xh4hw5swZFBcXJ6R8JjGw4PGJvJBTfn5+SjQSADBw4ED2JaSkkj/sSzhJJV+AxPuT7Be6/RGetMwwDMMwTMrDgodhGIZhmJSHBY9PsrOzsWTJEmRnZ/e1KXHDvoSXVPKHfQknqeQLkHr+MMEhUJjuq2MYhmEYhkkAHOFhGIZhGCblYcHDMAzDMEzKw4KHYRiGYZiUhwVPlBUrVqCsrAw5OTmYMGECmpubbdOvW7cOI0eORE5ODiorK7F582bNfiLCI488gsGDByM3Nxe1tbU4cuRIIl0AACxbtgw33HADrrjiClx11VWYPn06Dh8+7JgvrP6oefTRRyEIAubPn2+bLqy+fPzxx7jnnntQUFCA3NxcVFZWoqWlxTbP9u3bMXbsWGRnZ+MrX/kKVq1aZUjj9dyNl0gkgsWLF6O8vBy5ubkYMWIEfvWrXzkusx8WX958801MnToVxcXFEAQBL7/8sma/3/PDyfbz58+jsbERBQUFyMvLwx133IFTp04lzJdLly5h4cKFqKysxBe+8AUUFxdj5syZrh4qGTZf9MydOxeCIOCpp54KpS9MSCGG1q5dS1lZWfSnP/2JDh48SHPmzKFBgwbRqVOnTNO//fbblJ6eTo8//ji1tbXRL3/5S8rMzKT33ntPSfPoo49Sfn4+vfzyy/Tuu+/S7bffTuXl5XTu3LmE+jJlyhRauXIlHThwgFpbW+m2226jkpIS+u9//2uZJ8z+yDQ3N1NZWRmNHj2a5s2bZ5kurL58/vnnVFpaSrNnz6bdu3fTsWPH6PXXX6cPP/zQMs+xY8dowIAB9OCDD1JbWxstX76c0tPT6bXXXlPSeD13g2Dp0qVUUFBAr776Kh0/fpzWrVtHeXl59PTTTyeFL5s3b6aHH36Y1q9fTwBow4YNmv1+zg83ts+dO5eGDRtGW7ZsoZaWFrrxxhvppptuSpgvXV1dVFtbS3/961/p/fffp507d9L48eNp3LhxtmWG0Rc169evp+uvv56Ki4vpySefDKUvTDhhwUNE48ePp8bGRuVzJBKh4uJiWrZsmWn6O++8k+rq6jTbJkyYQPfddx8REYmiSEVFRfTEE08o+7u6uig7O5tefPHFBHhgTWdnJwGgN954wzJN2P05c+YMXX311dTU1ESTJk2yFTxh9WXhwoX0ta99zVOehx56iCoqKjTbvvvd79KUKVOUz17P3SCoq6uje++9V7PtO9/5DtXX11vmCasv+o7V7/nhZHtXVxdlZmbSunXrlDSHDh0iALRz586E+GJGc3MzAaD29nbLNGH25eTJkzRkyBA6cOAAlZaWOgqeMPjChId+P6R18eJF7NmzB7W1tcq2tLQ01NbWYufOnaZ5du7cqUkPAFOmTFHSHz9+HB0dHZo0+fn5mDBhgmWZiaK7uxtA7NlfZoTdn8bGRtTV1RlsNCOsvmzcuBHV1dWYMWMGrrrqKlRVVeH555+3zePki59zNwhuuukmbNmyBR988AEA4N1338WOHTvwrW99yzJPWH3R4+f8cGP7nj17cOnSJU2akSNHoqSkpFf96+7uhiAIGDRokOn+MPsiiiIaGhqwYMECVFRUOKYPsy9M39Dvn6X12WefIRKJoLCwULO9sLAQ77//vmmejo4O0/QdHR3KfnmbVZreQBRFzJ8/HxMnTsR1111nmS7M/qxduxZ79+7FO++84yp9WH05duwYnnvuOTz44IP4xS9+gXfeeQcPPPAAsrKyMGvWLNM8Vr709PTg3LlzOH36tOdzNwgWLVqEnp4ejBw5Eunp6YhEIli6dCnq6+st84TVFzM75Xr1dlidH27akI6ODmRlZRmERm+2CefPn8fChQvxve99z/IZU2H25bHHHkNGRgYeeOABV+nD7AvTN/R7wZPKNDY24sCBA9ixY0dfm+KLjz76CPPmzUNTUxNycnL62py4EEUR1dXV+M1vfgMAqKqqwoEDB/D73//eUvCElZdeeglr1qzBX/7yF1RUVKC1tRXz589HcXFx0vnSX7h06RLuvPNOEBGee+65vjbHM3v27MHTTz+NvXv3QhCEvjaHSVL6/ZDWlVdeifT0dMOs/FOnTqGoqMg0T1FRkW16+b+XMoPm/vvvx6uvvopt27Zh6NChtmnD6s+ePXvQ2dmJsWPHIiMjAxkZGXjjjTfwzDPPICMjA5FIxJAnrL4MHjwYo0aN0mz76le/ihMnTljmsfJl4MCByM3N9XXuBsGCBQuwaNEi3HXXXaisrERDQwN++tOfYtmyZZZ5wuqLmZ1yvW7tcGN7UVERLl68iK6uLtflBoUsdtrb29HU1GT7BPGw+vLWW2+hs7MTJSUlSlvQ3t6On/3sZygrKzPNE1ZfmL6j3wuerKwsjBs3Dlu2bFG2iaKILVu2oKamxjRPTU2NJj0ANDU1KenLy8tRVFSkSdPT04Pdu3dblhkURIT7778fGzZswNatW1FeXu6YJ6z+TJ48Ge+99x5aW1uVV3V1Nerr69Ha2or09PSk8WXixImG5QE++OADlJaWWuZx8sXPuRsEZ8+eRVqatulIT0+HKIqWecLqix4/54cb28eNG4fMzExNmsOHD+PEiRMJ9U8WO0eOHME///lPFBQU2KYPqy8NDQ3Yv3+/pi0oLi7GggUL8PrrryeVL0wf0tezpsPA2rVrKTs7m1atWkVtbW30wx/+kAYNGkQdHR1ERNTQ0ECLFi1S0r/99tuUkZFBv/3tb+nQoUO0ZMkS01ufBw0aRK+88grt37+fpk2b1iu3cf/oRz+i/Px82r59O33yySfK6+zZs0qaZPJHj/4urWTxpbm5mTIyMmjp0qV05MgRWrNmDQ0YMIBeeOEFJc2iRYuooaFB+Szfyr1gwQI6dOgQrVixwvRWbrtzNxHMmjWLhgwZotyWvn79erryyivpoYceSgpfzpw5Q/v27aN9+/YRAPrd735H+/btU+5ccnN+3HLLLbR8+XJPts+dO5dKSkpo69at1NLSQjU1NVRTU5MwXy5evEi33347DR06lFpbWzXtwYULF5LKFzPM7tIKiy9MOGHBE2X58uVUUlJCWVlZNH78eNq1a5eyb9KkSTRr1ixN+pdeeomuueYaysrKooqKCtq0aZNmvyiKtHjxYiosLKTs7GyaPHkyHT58OOF+ADB9rVy5Min90aMXPMnky9///ne67rrrKDs7m0aOHEl/+MMfNPtnzZpFkyZN0mzbtm0bjRkzhrKysmj48OGa71HG7txNBD09PTRv3jwqKSmhnJwcGj58OD388MOaTjTMvmzbts30NyKfR27Oj9LSUlqyZIkn28+dO0c//vGP6Ytf/CINGDCAvv3tb9Mnn3ySMF+OHz9u2R5s27YtqXwxw0zwhMUXJpzw09IZhmEYhkl5+v0cHoZhGIZhUh8WPAzDMAzDpDwseBiGYRiGSXlY8DAMwzAMk/Kw4GEYhmEYJuVhwcMwDMMwTMrDgodhGIZhmJSHBQ/DMAzDMCkPCx6GYUz54x//iFtvvTXh9bz22msYM2aM7bO4GIZh4oUFD8MwBs6fP4/FixdjyZIlCa/rm9/8JjIzM7FmzZqE18UwTP+FBQ/DMAb+9re/YeDAgZg4cWKv1Dd79mw888wzvVIXwzD9ExY8DJPCrF69GgUFBbhw4YJm+/Tp09HQ0GCZb+3atZg6dapm280334z58+cbypk9e7byuaysDL/+9a8xc+ZM5OXlobS0FBs3bsSnn36KadOmIS8vD6NHj0ZLS4umnKlTp6KlpQVHjx715yjDMIwDLHgYJoWZMWMGIpEINm7cqGzr7OzEpk2bcO+991rm27FjB6qrq33V+eSTT2LixInYt28f6urq0NDQgJkzZ+Kee+7B3r17MWLECMycORPq5xaXlJSgsLAQb731lq86GYZhnGDBwzApTG5uLu6++26sXLlS2fbCCy+gpKQEN998s2merq4udHd3o7i42Fedt912G+677z5cffXVeOSRR9DT04MbbrgBM2bMwDXXXIOFCxfi0KFDOHXqlCZfcXEx2tvbfdXJMAzjBAsehklx5syZg3/84x/4+OOPAQCrVq3C7NmzIQiCafpz584BAHJycnzVN3r0aOV9YWEhAKCystKwrbOzU5MvNzcXZ8+e9VUnwzCMExl9bQDDMImlqqoK119/PVavXo1bb70VBw8exKZNmyzTFxQUQBAEnD592rHsSCRi2JaZmam8l0WV2Tb9beiff/45vvzlLzvWyTAM4weO8DBMP+AHP/gBVq1ahZUrV6K2thbDhg2zTJuVlYVRo0ahra3NsE8/DHXs2LFA7Dt//jyOHj2KqqqqQMpjGIbRw4KHYfoBd999N06ePInnn3/edrKyzJQpU7Bjxw7D9ldeeQXr16/H0aNHsXTpUrS1taG9vV0ZLvPLrl27kJ2djZqamrjKYRiGsYIFD8P0A/Lz83HHHXcgLy8P06dPd0z//e9/H5s3b0Z3d7dme11dHR5//HGMGjUKb775Jp599lk0Nzfjz3/+c1z2vfjii6ivr8eAAQPiKodhGMYKgdT3hjIMk7JMnjwZFRUVrhf4mzFjBsaOHYuf//znAKR1eMaMGYOnnnoqULs+++wzXHvttWhpaUF5eXmgZTMMw8hwhIdhUpzTp09jw4YN2L59OxobG13ne+KJJ5CXl5dAyyT+9a9/4dlnn2WxwzBMQuG7tBgmxamqqsLp06fx2GOP4dprr3Wdr6ysDD/5yU8SaJlEdXW170UOGYZh3MJDWgzDMAzDpDw8pMUwDMMwTMrDgodhGIZhmJSHBQ/DMAzDMCkPCx6GYRiGYVIeFjwMwzAMw6Q8LHgYhmEYhkl5WPAwDMMwDJPysOBhGIZhGCblYcHDMAzDMEzK8/8rbaSnjPIu9gAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Visualize the RF mode\n", - "ax = mzm_solver.plot_field(\"E\", \"abs\", f=rf_freqs[0], mode_index=0, robust=True, shading=\"gouraud\")\n", - "ax.set_xlim(0, 15)\n", - "ax.set_ylim(-5, 10)\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "9bd87dcc", - "metadata": {}, - "source": [ - "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "a7147eea", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "n_eff = mzm_solver.data.n_eff.isel(mode_index=0).values\n", - "\n", - "# Calculate Z0\n", - "Z0_mzm = np.conjugate(\n", - " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", - " mzm_mode_data\n", - " )\n", - ").squeeze()\n", - "\n", - "fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", - "\n", - "ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\")\n", - "ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n", - "\n", - "ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\")\n", - "_ = ax[1].set(ylabel=\"Re{Z₀} (Ω)\", xlabel=\"Frequency (GHz)\")" - ] - }, - { - "cell_type": "markdown", - "id": "9381c163", - "metadata": {}, - "source": [ - "## Computation of Vπ·L \n", - "\n", - "To calculate the Pockels effect, we apply an electric field along the LiNbO₃ cut direction to perturb the optical medium. First, we normalize the field by the applied voltage and shift its coordinates so they align with the optical simulation, where the dielectric waveguide is centered at y = 0." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "82671b9d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Compute voltage across the gap and normalize electric field\n", - "v0 = V_int.compute_voltage(mzm_solver.data)\n", - "ey_norm = (mzm_solver.data.Ey / v0).isel(f=0, mode_index=0, drop=True).abs\n", - "\n", - "# Shift coordinates to align with optical simulation (waveguide centered at y = 0)\n", - "offset = cpw_width / 2 + cpw_gap / 2\n", - "ey_norm = ey_norm.assign_coords(y=ey_norm.y - offset)\n", - "\n", - "# Plot normalized electric field\n", - "_ = ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True)" - ] - }, - { - "cell_type": "markdown", - "id": "eb1d41fe", - "metadata": {}, - "source": [ - "The normalized electric field is applied to the LiNbO₃ crystal along its z-axis, following the Pockels effect model:\n", - "\n", - "\n", - "$$ \\Delta_n = -0.5 n_e^3 r_{33} E $$\n", - "\n", - "\n", - "Where:\n", - "- $\\Delta_n$: Index variation\n", - "- $n_e$: Extraordinary refractive index\n", - "- $r_{33}$: Pockels coefficient (30.9 pm/V) \n", - "- $E$: Normalized electric field from CPW (1V across gap)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "c2e97084", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Extract LiNbO3 material properties at optical wavelength\n", - "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", - "n_e = eps_e**0.5\n", - "r33 = 30.9e-6 # Pockels coefficient in μm/V\n", - "\n", - "# Calculate refractive index variation from Pockels effect\n", - "Δn = -0.5 * n_e**3 * r33 * ey_norm\n", - "\n", - "# Plot index variation (perturbation will only take effect over the LiNbO₃ regions)\n", - "_ = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False)" - ] - }, - { - "cell_type": "markdown", - "id": "ff40809b", - "metadata": {}, - "source": [ - "Now, assuming that the field scales with the applied voltage, we can define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage. \n", - "\n", - "This incorporates the index change due to the RF fields and returns a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object." - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "6a02f7c3", - "metadata": {}, - "outputs": [], - "source": [ - "# Use a single data point for the homogeneous directions\n", - "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", - "\n", - "\n", - "def perturbed_solver(voltage):\n", - " perturbed_ln = td.CustomAnisotropicMedium(\n", - " xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", - " yy=td.CustomMedium(permittivity=(n_e + voltage * Δn) ** 2, subpixel=True),\n", - " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", - " )\n", - " perturbed_sim = sim_opt.updated_copy(\n", - " structures=[core.updated_copy(medium=perturbed_ln), ridge.updated_copy(medium=perturbed_ln)]\n", - " )\n", - " ms = mode_solver_opt.updated_copy(simulation=perturbed_sim)\n", - " return ms" - ] - }, - { - "cell_type": "markdown", - "id": "344a7394", - "metadata": {}, - "source": [ - "Next, we create a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and run all mode simulations in parallel." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "29e27d6c", - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "8251b56375ae464eb57584d5addf0f5c", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
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16:44:22 -03 Started working on Batch containing 5 tasks.                       \n",
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16:44:29 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n",
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             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n",
-       "             Batch has completed.                                               \n",
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16:44:44 -03 Batch complete.                                                    \n",
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-      "text/plain": [
-       "Output()"
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-   ],
-   "source": [
-    "# Define voltages to apply and create a Batch of simulations\n",
-    "voltages = np.arange(5)\n",
-    "sims = {str(v): perturbed_solver(v) for v in voltages}\n",
-    "\n",
-    "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")\n",
-    "\n",
-    "# Run all simulations in parallel\n",
-    "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "3e2f7f22",
-   "metadata": {},
-   "source": [
-    "Finally, we can observe the variation of the waveguide mode effective index as a function of the applied voltage and calculate the Vπ·L figure of merit."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 20,
-   "id": "7b8459f0",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n", - "\n", - "_ = plt.plot(voltages, n_eff, \".-\")\n", - "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", - "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "8093b264", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Vπ·L (single-drive) = 7.62 V·cm\n", - "Vπ·L (push-pull) = 3.81 V·cm\n" - ] - } - ], - "source": [ - "# The variation is quite linear, so we simply use the largest interval\n", - "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", - "\n", - "vpil = 0.5 * opt_wavelength / dneff_dV # in V·μm\"\n", - "\n", - "print(f\"Vπ·L (single-drive) = {vpil * 1e-4:.2f} V·cm\")\n", - "print(f\"Vπ·L (push-pull) = {vpil * 1e-4 / 2:.2f} V·cm\")" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "td2100rc2", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.13" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} +{"cells": [{"cell_type": "markdown", "id": "986c97ec", "metadata": {}, "source": ["# Thin film Lithium Niobate Electro-Optic Modulator using Tidy3D\n", "\n", "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on the Pockels effect. The device is based on the work of `*Ying Li et al.*, \u201cHigh-Performance Mach\u2013Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,\u201d *ACS Omega* 2023, 8 (10), 9644\u20139651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", "\n", "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/).\n", "\n", "Finally, we calculate the electro-optic overlap and predict the V\u03c0\u00b7L figure of merit.\n", "\n", "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", "\n", "\"Schematic"]}, {"cell_type": "markdown", "id": "6fbeeff2", "metadata": {}, "source": ["### Workflow Overview\n", "\n", "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", "\n", "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode and its overlap with the optical waveguide.\n", "\n", "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate V\u03c0\u00b7L."]}, {"cell_type": "code", "execution_count": 1, "id": "7cc91408", "metadata": {}, "outputs": [], "source": ["# Core simulation and plotting libraries\n", "import numpy as np\n", "import tidy3d as td\n", "\n", "# RF utilities for impedance and port definitions\n", "import tidy3d.plugins.microwave as mw\n", "import tidy3d.plugins.smatrix as sm\n", "from matplotlib import pyplot as plt\n", "from tidy3d import web\n", "from tidy3d.plugins.mode import ModeSolver\n", "\n", "# Suppress verbose logs to keep the notebook output clear\n", "td.config.logging_level = \"ERROR\""]}, {"cell_type": "markdown", "id": "49b37a57", "metadata": {}, "source": ["## Optical Waveguide Geometry "]}, {"cell_type": "code", "execution_count": 2, "id": "a43b5172", "metadata": {}, "outputs": [], "source": ["# Simulation parameters\n", "eff_inf = 1e3 # Large extent to emulate semi-infinite regions\n", "\n", "opt_wavelength = 1.55\n", "freq_opt = td.C_0 / opt_wavelength\n", "\n", "# Optical materials: SiO2 cladding and TFLN core\n", "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", "\n", "# Ridge geometry parameters from the reference design\n", "sidewall_angle = 17\n", "core_width = 1.1 # w0\n", "slab_thickness = 0.22 # h3\n", "h3 = slab_thickness\n", "core_thickness = 0.4 - slab_thickness\n", "plane_size = 8\n", "plane_limits = (-1.5, 1.9)\n", "plane_height = 3.4\n", "\n", "\n", "# Define waveguide structures\n", "ridge = td.Structure(\n", " name=\"ridge\",\n", " geometry=td.Box(\n", " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", " ),\n", " medium=LiNbO3,\n", ")\n", "\n", "core = td.Structure(\n", " geometry=td.PolySlab(\n", " sidewall_angle=sidewall_angle * np.pi / 180,\n", " reference_plane=\"top\",\n", " slab_bounds=[0, core_thickness],\n", " vertices=[\n", " [-eff_inf, -core_width / 2],\n", " [eff_inf, -core_width / 2],\n", " [eff_inf, core_width / 2],\n", " [-eff_inf, core_width / 2],\n", " ],\n", " ),\n", " name=\"core\",\n", " medium=LiNbO3,\n", ")\n", "\n", "# Grid specification\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", "\n", "# Create optical simulation\n", "sim_opt = td.Simulation(\n", " size=(10.0, plane_size, plane_height),\n", " run_time=1e-12,\n", " medium=SiO2,\n", " structures=[ridge, core],\n", " grid_spec=grid_spec,\n", ")"]}, {"cell_type": "markdown", "id": "e8801650", "metadata": {}, "source": ["### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation"]}, {"cell_type": "code", "execution_count": 3, "id": "5edff819", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["## Creating the ModeSolver\n", "\n", "mode_spec = td.ModeSpec(num_modes=5, group_index_step=True)\n", "\n", "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", "\n", "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", "\n", "_ = mode_solver_opt.plot()\n", "\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 4, "id": "a454c0e0", "metadata": {}, "outputs": [{"data": {"text/html": ["
15:11:49 -03 Created task 'TFLN-opt_mode' with resource_id                      \n", "             'mo-95e96998-051a-4a00-8363-5ce569d1a4f6' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:49 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-95e96998-051a-4a00-8363-5ce569d1a4f6'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-\n", "             4a00-8363-5ce569d1a4f6'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=66411;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=54226;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m-95e96998-051a-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m4a00-8363-5ce569d1a4f6'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'TFLN-VPI'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=331860;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "23aec41576ad433eabb0c6efbab0abb5", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:11:53 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:53 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.004\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:11:55 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:55 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "149bd68511aa49168cd04cfdd7bb3505", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:04 -03 loading simulation from simulation_data.hdf5                       \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:04 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mode_data_opt = web.run(mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\")"]}, {"cell_type": "markdown", "id": "0058eb29", "metadata": {}, "source": ["We can now visualize and inspect the optical modes. We are interested in the TE-like fundamental mode (with *mode_index == 0*), which has an effective index of 1.85 and a group index of 2.20. This information is very important to ensure velocity matching between the optical and RF modes, and hence optimize the electro-optical effect."]}, {"cell_type": "code", "execution_count": 5, "id": "11417a3d", "metadata": {}, "outputs": [{"data": {"text/html": ["
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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode areagroup indexdispersion (ps/(nm km))
fmode_index
1.934145e+1401.551.8072210.00.9971240.9618910.8708590.7999262.214488-545.866993
11.551.7212020.00.0884260.8009500.9515991.2308602.299366-1871.424868
21.551.6899220.00.9413470.9521670.8753593.5950952.092426-2536.536988
31.551.6824580.00.9999670.9956210.8578583.0137632.011008-954.413416
41.551.6782060.00.9851920.9692710.8656692.9933682.054942135.879602
\n", "
"], "text/plain": [" wavelength n eff k eff TE (Ey) fraction \\\n", "f mode_index \n", "1.934145e+14 0 1.55 1.807221 0.0 0.997124 \n", " 1 1.55 1.721202 0.0 0.088426 \n", " 2 1.55 1.689922 0.0 0.941347 \n", " 3 1.55 1.682458 0.0 0.999967 \n", " 4 1.55 1.678206 0.0 0.985192 \n", "\n", " wg TE fraction wg TM fraction mode area \\\n", "f mode_index \n", "1.934145e+14 0 0.961891 0.870859 0.799926 \n", " 1 0.800950 0.951599 1.230860 \n", " 2 0.952167 0.875359 3.595095 \n", " 3 0.995621 0.857858 3.013763 \n", " 4 0.969271 0.865669 2.993368 \n", "\n", " group index dispersion (ps/(nm km)) \n", "f mode_index \n", "1.934145e+14 0 2.214488 -545.866993 \n", " 1 2.299366 -1871.424868 \n", " 2 2.092426 -2536.536988 \n", " 3 2.011008 -954.413416 \n", " 4 2.054942 135.879602 "]}, "execution_count": 12, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n", "mode_data_opt.to_dataframe()\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "821fae2b", "metadata": {}, "source": ["## RF CPW Transmission Line \n", "\n", "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode.\n", "\n", "For more information on CPW mode calculation, one can refer to [this](https://www.flexcompute.com/tidy3d/examples/notebooks/CPWRFPhotonics1/) example."]}, {"cell_type": "code", "execution_count": 6, "id": "fd57cb3d", "metadata": {}, "outputs": [], "source": ["# RF frequency range\n", "rf_freqs = np.linspace(10e9, 90e9, 21)\n", "\n", "# RF materials\n", "si_rf = td.Medium(permittivity=11.7)\n", "sio2_rf = td.Medium(permittivity=3.9)\n", "air_rf = td.Medium()\n", "tfln_rf = td.AnisotropicMedium(\n", " xx=td.Medium(permittivity=43), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=43)\n", ")\n", "metal = td.LossyMetalMedium(\n", " frequency_range=(100000000.0, 100000000000.0),\n", " conductivity=41,\n", " fit_param=td.SurfaceImpedanceFitterParam(\n", " max_num_poles=16,\n", " ),\n", ")"]}, {"cell_type": "markdown", "id": "2f6b2bd8", "metadata": {}, "source": ["Since we will sweep over many variables, it is convenient to create a function to return the CPW and optical waveguide geometries."]}, {"cell_type": "code", "execution_count": 7, "id": "ac78e2cb", "metadata": {}, "outputs": [], "source": ["def get_structures(\n", " h4=4.7,\n", " h2=0.4,\n", " h1=1,\n", " cpw_thickness=1, # CPW geometry parameters\n", " cpw_width=18, # w1\n", " cpw_gap=5, # g\n", " optical_waveguide_gap=25,\n", "): # G\n", " sio2_thickness = h1 + h3 + h4\n", "\n", " si_substrate = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -sio2_thickness / 2)\n", " ),\n", " medium=si_rf,\n", " )\n", "\n", " # Define substrate and layer structures\n", " sio2_slab = td.Structure(\n", " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", " )\n", "\n", " # Optical waveguide\n", "\n", " center_slab = sio2_slab.geometry.bounds[0][2] + h4 + slab_thickness / 2\n", "\n", " tfln_slab = td.Structure(\n", " geometry=td.Box(center=(0, 0, center_slab), size=(eff_inf, eff_inf, slab_thickness)),\n", " medium=tfln_rf,\n", " )\n", "\n", " # Calculate vertical offset to position waveguides at TFLN slab level\n", " delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", "\n", " # Define conformal cladding for waveguides\n", "\n", " delta_z_conformal = sio2_slab.geometry.bounds[1][2]\n", "\n", " waveguide_conformal_cladding = td.PolySlab(\n", " sidewall_angle=sidewall_angle * np.pi / 180,\n", " reference_plane=\"top\",\n", " slab_bounds=[delta_z_conformal, delta_z_conformal + core_thickness],\n", " vertices=[\n", " [-eff_inf, -core_width / 1.5],\n", " [eff_inf, -core_width / 1.5],\n", " [eff_inf, core_width / 1.5],\n", " [-eff_inf, core_width / 1.5],\n", " ],\n", " )\n", "\n", " # Define right waveguide positioned under CPW gap\n", " waveguide_r = [\n", " ridge.updated_copy(\n", " geometry=ridge.geometry.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n", " ),\n", " name=\"ridge_r\",\n", " medium=tfln_rf,\n", " ),\n", " core.updated_copy(\n", " geometry=core.geometry.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n", " ),\n", " name=\"core_r\",\n", " medium=tfln_rf,\n", " ),\n", " td.Structure(\n", " geometry=waveguide_conformal_cladding.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=0\n", " ),\n", " medium=sio2_rf,\n", " ),\n", " ]\n", "\n", " # Define left waveguide positioned under CPW gap\n", " waveguide_l = [\n", " ridge.updated_copy(\n", " geometry=ridge.geometry.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n", " ),\n", " name=\"ridge_l\",\n", " medium=tfln_rf,\n", " ),\n", " core.updated_copy(\n", " geometry=core.geometry.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n", " ),\n", " name=\"core_l\",\n", " medium=tfln_rf,\n", " ),\n", " td.Structure(\n", " geometry=waveguide_conformal_cladding.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=0\n", " ),\n", " medium=sio2_rf,\n", " ),\n", " ]\n", "\n", " cpw_center_pos = sio2_slab.geometry.bounds[1][2] + cpw_thickness / 2\n", "\n", " # Define CPW transmission line structures\n", " cpw_left = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " cpw_right = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, eff_inf, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " cpw_center = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -cpw_width / 2, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, cpw_width / 2, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " air_gap = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, sio2_thickness / 2), rmax=(eff_inf, eff_inf, eff_inf)\n", " ),\n", " medium=air_rf,\n", " )\n", "\n", " return (\n", " [sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center, tfln_slab]\n", " + waveguide_l\n", " + waveguide_r\n", " )\n", "\n", "\n", "structures = get_structures()"]}, {"cell_type": "code", "execution_count": 8, "id": "1610730f", "metadata": {}, "outputs": [], "source": ["def get_sim(\n", " h4=4.7, # top SiO2 cladding thickness (\u00b5m)\n", " h2=0.4,\n", " h1=1, # lower layer thickness beneath the electrodes (\u00b5m)\n", " cpw_thickness=1, # CPW geometry parameters (t)\n", " cpw_width=18, # w1\n", " cpw_gap=5,\n", " optical_waveguide_gap=23 - core_width / 2, # G\n", " refinement=10,\n", " resolution=30,\n", " fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n", "): # g)\n", " structures = get_structures(\n", " h4, h2, h1, cpw_thickness, cpw_width, cpw_gap, optical_waveguide_gap\n", " )\n", " # Define layer refinement specification for enhanced mesh at CPW corners\n", "\n", " cpw_center = structures[5]\n", " cpw_left = structures[3]\n", " cpw_right = structures[4]\n", " tfln_slab = structures[6]\n", "\n", " lr_spec = td.LayerRefinementSpec.from_structures(\n", " structures=[cpw_center, cpw_left, cpw_right],\n", " min_steps_along_axis=5,\n", " corner_refinement=td.GridRefinement(dl=cpw_thickness / refinement, num_cells=5),\n", " refinement_inside_sim_only=False,\n", " )\n", "\n", " # Mesh override for waveguide region (fine mesh in z-direction)\n", " override_region = td.MeshOverrideStructure(\n", " geometry=td.Box(\n", " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", " center=(0, 0, tfln_slab.geometry.center[2] + slab_thickness / 2),\n", " ),\n", " dl=(None, None, 0.05),\n", " )\n", "\n", " # Calculate gap center position\n", " gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", "\n", " # Mesh override for left CPW gap (fine mesh in y-direction)\n", " override_region_gap_l = td.MeshOverrideStructure(\n", " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", " dl=(None, 0.05, None),\n", " )\n", "\n", " # Mesh override for right CPW gap (fine mesh in y-direction)\n", " override_region_gap_r = td.MeshOverrideStructure(\n", " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", " dl=(None, 0.05, None),\n", " )\n", "\n", " # Overall grid specification\n", " grid_spec = td.GridSpec.auto(\n", " min_steps_per_sim_size=resolution,\n", " wavelength=td.C_0 / max(rf_freqs),\n", " layer_refinement_specs=[lr_spec],\n", " override_structures=[override_region, override_region_gap_l, override_region_gap_r],\n", " )\n", "\n", " # Integration paths for impedance calculation\n", "\n", " # Define current integration path (loop around CPW signal)\n", " I_int = mw.CurrentIntegralAxisAligned(\n", " center=cpw_center.geometry.center,\n", " size=(\n", " 0,\n", " cpw_width + cpw_gap,\n", " 5 * cpw_thickness,\n", " ),\n", " sign=\"+\",\n", " )\n", "\n", " # Define voltage integration path (line from signal to ground)\n", " V_int = mw.VoltageIntegralAxisAligned(\n", " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", " size=(0, cpw_gap, 0),\n", " sign=\"-\",\n", " )\n", "\n", " # Simulation domain size\n", " sim_rf_size = (25, 138, 150)\n", "\n", " # Create RF simulation\n", " sim_vpi = td.Simulation(\n", " size=sim_rf_size,\n", " structures=structures,\n", " grid_spec=grid_spec,\n", " run_time=1e-12,\n", " )\n", "\n", " # Create and visualize the mode solver\n", "\n", " plane = td.Box(\n", " center=cpw_center.geometry.center,\n", " size=(0, sim_vpi.size[1], sim_vpi.size[2]),\n", " )\n", "\n", " mzm_solver = ModeSolver(\n", " simulation=sim_vpi,\n", " plane=plane,\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", " freqs=rf_freqs,\n", " fields=fields,\n", " )\n", "\n", " return sim_vpi, mzm_solver, I_int, V_int\n", "\n", "\n", "sim_vpi, mzm_solver, I_int, V_int = get_sim()"]}, {"cell_type": "code", "execution_count": 9, "id": "de0b6b55", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Visualize the mesh\n", "ax = mzm_solver.plot()\n", "mzm_solver.plot_grid(ax=ax)\n", "center = mzm_solver.simulation.structures[0].geometry.center\n", "ax.set_xlim(center[0] - 20, center[0] + 20)\n", "ax.set_ylim(center[1] - 10, center[1] + 10)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 10, "id": "ddd67053", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Plot V and I integration paths\n", "fig, ax = plt.subplots(figsize=(10, 3))\n", "mzm_solver.plot(ax=ax)\n", "I_int.plot(x=0, ax=ax)\n", "V_int.plot(x=0, ax=ax)\n", "ax.set_xlim(-20, 20)\n", "ax.set_ylim(-10, 10)\n", "plt.show()"]}, {"cell_type": "markdown", "id": "2171248e", "metadata": {}, "source": ["### Simulation Definition\n", "\n", "Now, we define a function to can create the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) objects.\n", "\n", "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners.\n", "\n", "For the rest of the simulation, we use the automatic grid with `min_steps_per_sim_size = 100`, which ensures at least 100 grid cells along the longest dimension of the simulation domain.\n", "\n", "We will also add mesh override regions to properly resolve the thickness of the optical waveguide, as well as the gaps, to ensure accurate results.\n", "\n", "For impedance calculation, we define a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground."]}, {"cell_type": "code", "execution_count": 11, "id": "38935f5b", "metadata": {}, "outputs": [{"data": {"text/html": ["
15:12:42 -03 Created task 'MZM mode solver' with resource_id                    \n", "             'mo-f356db97-e9ab-44ad-a652-38f14457d53c' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:42 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-f356db97-e9ab-44ad-a652-38f14457d53c'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-\n", "             44ad-a652-38f14457d53c'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=418868;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=800242;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m-f356db97-e9ab-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m44ad-a652-38f14457d53c'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'default'.                                            \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=574288;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "6a07daf2cb85444295e56294240d3a9a", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:45 -03 Estimated FlexCredit cost: 0.008. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:45 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.008\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:47 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:47 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "78d59878a5a2418a97c7cd61dbfab124", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:13:09 -03 loading simulation from data/MZM_mode_data.hdf5                    \n", "
\n"], "text/plain": ["\u001b[2;36m15:13:09 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")"]}, {"cell_type": "markdown", "id": "981f469e", "metadata": {}, "source": ["Visualizing the results:"]}, {"cell_type": "code", "execution_count": 12, "id": "7d132394", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Visualize the RF mode\n", "ax = mzm_solver.plot_field(\"E\", \"abs\", f=rf_freqs[0], mode_index=0, robust=True, shading=\"gouraud\")\n", "ax.set_ylim(1, 5)\n", "ax.set_xlim(5, 18)\n", "plt.show()"]}, {"cell_type": "markdown", "id": "9bd87dcc", "metadata": {}, "source": ["We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results."]}, {"cell_type": "code", "execution_count": 13, "id": "a7147eea", "metadata": {}, "outputs": [{"data": {"image/png": 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", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["def get_impedance(data, I_int, V_int, plot=True):\n", " n_eff = data.n_eff.isel(mode_index=0)\n", " k_eff = data.k_eff.isel(mode_index=0)\n", "\n", " # Calculate Z0\n", " Z0_mzm = np.conjugate(\n", " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", " data\n", " )\n", " ).squeeze()\n", "\n", " if plot:\n", " fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", "\n", " ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\")\n", " ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n", "\n", " ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\")\n", " _ = ax[1].set(ylabel=\"Re{Z\u2080} (\u03a9)\", xlabel=\"Frequency (GHz)\")\n", "\n", " return Z0_mzm, n_eff, k_eff\n", "\n", "\n", "Z0_mzm, n_eff, k_eff = get_impedance(mzm_solver.data, I_int, V_int)\n", "\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "dc867f82", "metadata": {}, "source": ["### Sweep Over Different Parameters\n", "\n", "Now, we can sweep over different g and w1 parameters, and calculate impedance, effective index and attenuation constant"]}, {"cell_type": "code", "execution_count": 14, "id": "2b2f465a", "metadata": {}, "outputs": [], "source": ["g_values = np.linspace(2, 16, 10)\n", "w1_values = np.linspace(3, 25, 10)\n", "\n", "dict = {}\n", "dic_integrals = {}\n", "for g in g_values:\n", " for w1 in w1_values:\n", " sim_vpi, mzm_solver, I_int, V_int = get_sim(\n", " cpw_gap=g,\n", " cpw_width=w1,\n", " h4=2,\n", " h1=1,\n", " optical_waveguide_gap=w1 + g / 2,\n", " fields=[\"Ey\", \"Hy\", \"Hz\"],\n", " ) # Fields for calculating impedance\n", " dict[f\"({g:.2f},{w1:.2f})\"] = mzm_solver\n", " dic_integrals[f\"({g:.2f},{w1:.2f})\"] = I_int, V_int\n", "\n", "batch = web.Batch(simulations=dict, folder_name=\"mzm_solver\")"]}, {"cell_type": "code", "execution_count": 15, "id": "97ef1bd6", "metadata": {}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "21642781654c4efb96b6d4886f568bb9", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:13:57 -03 Started working on Batch containing 100 tasks.                     \n", "
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15:16:13 -03 Maximum FlexCredit cost: 0.895 for the whole batch.                \n", "
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             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n", "             Batch has completed.                                               \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n", "\u001b[2;36m \u001b[0mBatch has completed. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "5645070251bf4e93bad9fdf6be02a772", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:18:09 -03 Batch complete.                                                    \n", "
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\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "c37161564210419bb4b0dcc4347ec0cb", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}], "source": ["batch_data = batch.run(path_dir=\"batch_mzm_solver\")"]}, {"cell_type": "markdown", "id": "e7285fb0", "metadata": {}, "source": ["### Data Processing\n", "\n", "Now we can calculate impedance, RF effective index, RF losses, and reproduce Figures 4a, 4b, and 4c from the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."]}, {"cell_type": "code", "execution_count": 16, "id": "0289eabe", "metadata": {}, "outputs": [], "source": ["import pandas as pd\n", "\n", "df_z0 = pd.DataFrame()\n", "df_z0.index.name = \"h1\"\n", "df_z0.columns.name = \"cpw_thickness\"\n", "\n", "df_neff = pd.DataFrame()\n", "df_neff.index.name = \"h1\"\n", "df_neff.columns.name = \"cpw_thickness\"\n", "\n", "df_k_eff = pd.DataFrame()\n", "df_k_eff.index.name = \"h1\"\n", "df_k_eff.columns.name = \"cpw_thickness\"\n", "\n", "for task_name, sim_data in batch_data.items():\n", "    I_int, V_int = dic_integrals[task_name]\n", "    Z0_mzm, n_eff, k_eff = get_impedance(sim_data, I_int, V_int, plot=False)\n", "\n", "    h1, cpw_thickness = eval(task_name)\n", "    df_z0.loc[h1, cpw_thickness] = Z0_mzm.sel(f=70e9, method=\"nearest\").values\n", "    df_neff.loc[h1, cpw_thickness] = n_eff.sel(f=70e9, method=\"nearest\").values\n", "    df_k_eff.loc[h1, cpw_thickness] = k_eff.sel(f=70e9, method=\"nearest\").values"]}, {"cell_type": "code", "execution_count": 17, "id": "8d09cccd", "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, Ax = plt.subplots(ncols=3, figsize=(17, 5))\n", "\n", "pm1 = Ax[0].pcolormesh(\n", " df_z0.index, df_z0.columns, df_z0.values.T.real, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb1 = plt.colorbar(pm1)\n", "cb1.set_label(\"Impedance (\u03a9)\")\n", "\n", "pm2 = Ax[1].pcolormesh(\n", " df_neff.index, df_neff.columns, df_neff.values.T, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb2 = plt.colorbar(pm2)\n", "cb2.set_label(\"Effective Index\")\n", "\n", "df_alpha = 2 * np.pi * (70e9 / td.C_0) * df_k_eff * 10**6\n", "pm3 = Ax[2].pcolormesh(\n", " df_alpha.index, df_alpha.columns, df_alpha.values.T, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb3 = plt.colorbar(pm3)\n", "cb3.set_label(\"Attenuation Constant $\\\\alpha$ (1/m)\")\n", "\n", "for ax in Ax:\n", " ax.set_ylim(Ax[2].get_ylim()[::-1])\n", " ax.set_xlabel(\"h1 (\u00b5m)\")\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "9381c163", "metadata": {}, "source": ["## Computation of V\u03c0\u00b7L \n", "\n", "Now we can use the RF fields to calculate the Pockels effect and V\u03c0\u00b7L.\n", "\n", "First, we create a final simulation with the optimized parameters, as reported in the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."]}, {"cell_type": "code", "execution_count": 18, "id": "24b9a035", "metadata": {}, "outputs": [{"data": {"text/html": ["
16:23:18 -03 Created task 'MZM mode solver' with resource_id                    \n", "             'mo-e411ff34-43aa-489b-815b-5be0324c5b0e' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:18 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-e411ff34-43aa-489b-815b-5be0324c5b0e'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-\n", "             489b-815b-5be0324c5b0e'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=530762;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=808636;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m-e411ff34-43aa-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m489b-815b-5be0324c5b0e'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'default'.                                            \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=58610;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "9ab3da7709b54c38b6e2592f0ba4e4a4", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:21 -03 Estimated FlexCredit cost: 0.009. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:21 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.009\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:22 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:22 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "232934c63c9546e69b12e025a6758a96", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:30 -03 loading simulation from data/MZM_mode_data.hdf5                    \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:30 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["cpw_width = 18\n", "cpw_gap = 5\n", "cpw_thickness = 1\n", "h1 = 0.5\n", "optical_waveguide_gap = 25\n", "\n", "sim_final, mzm_solver_final, I_int_final, V_int_final = get_sim(\n", " h4=4.7, # top SiO2 cladding thickness (\u00b5m)\n", " h2=0.4,\n", " h1=h1, # lower layer thickness beneath the electrodes (\u00b5m)\n", " cpw_thickness=cpw_thickness, # CPW geometry parameters (t)\n", " cpw_width=cpw_width, # w1\n", " cpw_gap=cpw_gap,\n", " optical_waveguide_gap=optical_waveguide_gap,\n", " refinement=20,\n", " resolution=60,\n", ") # g\n", "\n", "mzm_solver_final_data = web.run(\n", " mzm_solver_final, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\"\n", ")"]}, {"cell_type": "markdown", "id": "45bc89f5", "metadata": {}, "source": ["To calculate the Pockels effect, we apply an electric field along the LiNbO\u2083 cut direction to perturb the optical medium. First, we normalize the field by the applied voltage on the push-pull configuration."]}, {"cell_type": "code", "execution_count": 19, "id": "82671b9d", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Compute voltage across the gap and normalize electric field\n", "v0 = V_int_final.compute_voltage(mzm_solver_final_data)\n", "ey_norm = (mzm_solver_final_data.Ey / (0.5 * v0.real)).isel(f=0, mode_index=0, drop=True).abs\n", "\n", "\n", "waveguide_center = sim_final.structures[8].geometry.bounding_box.center\n", "\n", "ax = ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True).axes\n", "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n", "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n", "ax.set_aspect(\"equal\")\n", "plt.show()"]}, {"cell_type": "markdown", "id": "eb1d41fe", "metadata": {}, "source": ["The normalized electric field is applied to the LiNbO\u2083 crystal along its z-axis, following the Pockels effect model:\n", "\n", "\n", "$$ \\Delta_n = -0.5 n_e^3 r_{33} E $$\n", "\n", "\n", "Where:\n", "- $\\Delta_n$: Index variation\n", "- $n_e$: Extraordinary refractive index\n", "- $r_{33}$: Pockels coefficient (30.9 pm/V) \n", "- $E$: Normalized electric field from CPW (1V across gap)"]}, {"cell_type": "code", "execution_count": 20, "id": "c2e97084", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Extract LiNbO3 material properties at optical wavelength\n", "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", "n_e = eps_e**0.5\n", "r33 = 30.9e-6 # Pockels coefficient in \u03bcm/V\n", "\n", "# Calculate refractive index variation from Pockels effect\n", "\u0394n = -0.5 * n_e**3 * r33 * ey_norm\n", "\n", "# Plot index variation (perturbation will only take effect over the LiNbO\u2083 regions)\n", "ax = \u0394n.isel(x=0).transpose(\"z\", \"y\").plot(robust=False).axes\n", "\n", "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n", "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n", "\n", "ax.set_aspect(\"equal\")\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "ff40809b", "metadata": {}, "source": ["Now, assuming that the field scales with the applied voltage, we can define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage. \n", "\n", "This incorporates the index change due to the RF fields and returns a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object."]}, {"cell_type": "code", "execution_count": 21, "id": "6a02f7c3", "metadata": {}, "outputs": [], "source": ["# Use a single data point for the homogeneous directions\n", "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", "\n", "\n", "def perturbed_solver(voltage):\n", " perturbed_ln = td.CustomAnisotropicMedium(\n", " xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " yy=td.CustomMedium(permittivity=(n_e + voltage * \u0394n) ** 2, subpixel=True),\n", " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " )\n", "\n", " # Changing the RF mediums to optical mediums\n", " si02_structures_index = [0, 9, 12]\n", " ln_structures_index = [7, 8, 10, 11]\n", "\n", " perturbed_structures = list(sim_final.structures)\n", " for i in si02_structures_index:\n", " perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=SiO2)\n", " for i in ln_structures_index:\n", " perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=perturbed_ln)\n", "\n", " # Remove metals\n", " del perturbed_structures[2:5]\n", "\n", " center = waveguide_center\n", " size = (0, 8, 3)\n", "\n", " perturbed_sim = sim_final.updated_copy(\n", " structures=perturbed_structures, size=size, center=center, grid_spec=sim_opt.grid_spec\n", " )\n", "\n", " ms = mode_solver_opt.updated_copy(\n", " simulation=perturbed_sim, plane=td.Box(size=size, center=center)\n", " )\n", " return ms"]}, {"cell_type": "markdown", "id": "344a7394", "metadata": {}, "source": ["Next, we create a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and run all mode simulations in parallel."]}, {"cell_type": "code", "execution_count": 22, "id": "29e27d6c", "metadata": {}, "outputs": [], "source": ["# Define voltages to apply and create a Batch of simulations\n", "voltages = np.arange(5)\n", "sims = {str(v): perturbed_solver(v) for v in voltages}\n", "\n", "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")"]}, {"cell_type": "markdown", "id": "ab6fef3f", "metadata": {}, "source": ["We can now visualize the index change for 4V bias."]}, {"cell_type": "code", "execution_count": 23, "id": "1363d29b", "metadata": {}, "outputs": [{"data": {"image/png": 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", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["eps0 = sims[\"0\"].simulation.epsilon(sims[\"0\"].plane)\n", "eps4 = sims[\"4\"].simulation.epsilon(sims[\"4\"].plane)\n", "\n", "delta_eps = eps4 - eps0\n", "delta_eps.T.real.plot()\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 24, "id": "71a7193b", "metadata": {}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "cd3fc18898704949966d7d13451ff960", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:38:31 -03 Started working on Batch containing 5 tasks.                       \n", "
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16:38:38 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n", "
\n"], "text/plain": ["\u001b[2;36m16:38:38 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.020\u001b[0m for the whole batch. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n", "             Batch has completed.                                               \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n", "\u001b[2;36m \u001b[0mBatch has completed. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "bc0dfde3eb764b51a9711ab49cdb184e", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:38:42 -03 Batch complete.                                                    \n", "
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\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "1645c70012d6476d9854a3ab3a875963", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}], "source": ["# Run all simulations in parallel\n", "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")"]}, {"cell_type": "markdown", "id": "3e2f7f22", "metadata": {}, "source": ["Finally, we can observe the variation of the waveguide mode effective index as a function of the applied voltage and calculate the V\u03c0\u00b7L figure of merit."]}, {"cell_type": "code", "execution_count": 25, "id": "7b8459f0", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n", "\n", "_ = plt.plot(voltages, n_eff, \".-\")\n", "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n", "\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 26, "id": "8093b264", "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["V\u03c0\u00b7L (push-pull) = 1.60 V\u00b7cm\n"]}], "source": ["# The variation is quite linear, so we simply use the largest interval\n", "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", "\n", "vpil = 0.5 * opt_wavelength / dneff_dV # in V\u00b7\u03bcm\"\n", "\n", "print(f\"V\u03c0\u00b7L (push-pull) = {vpil * 1e-4 / 2:.2f} V\u00b7cm\")"]}], "metadata": {"kernelspec": {"display_name": "td2100rc2", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13"}, "applications": ["Active photonic integrated circuit components"], "feature_image": "./img/TFLN_EOM_Tidy3D.png", "title": "How to model a TFLN EOM using Tidy3D | Flexcompute", "keywords": "lithium niobate, electro-optic modulation, mode analysis, Tidy3D, FDTD", "description": "This notebook demonstrates how to model a thin-film lithium niobate electro-optic modulator"}, "nbformat": 4, "nbformat_minor": 5} \ No newline at end of file