diff --git a/changelog/1134.breaking.1.rst b/changelog/1134.breaking.1.rst new file mode 100644 index 0000000000..005df67256 --- /dev/null +++ b/changelog/1134.breaking.1.rst @@ -0,0 +1,4 @@ +Renamed subpacakge ``plasmapy.diagnostics.proton_radiography`` to +`plasmapy.diagnostics.charged_particle_radiography`, and renamed the +``SyntheticProtonRadiograph`` class within that module to +`~plasmapy.diagnostics.charged_particle_radiography.Tracker`. diff --git a/changelog/1134.breaking.2.rst b/changelog/1134.breaking.2.rst new file mode 100644 index 0000000000..704912da85 --- /dev/null +++ b/changelog/1134.breaking.2.rst @@ -0,0 +1,6 @@ +`~plasmapy.diagnostics.charged_particle_radiography.Tracker` no longer +supports making changes to an instantiated object and +re-running the simulation. Subsequent simulations should be performed +by instantiating a new +`~plasmapy.diagnostics.charged_particle_radiography.Tracker` object and +running. diff --git a/changelog/1134.breaking.3.rst b/changelog/1134.breaking.3.rst new file mode 100644 index 0000000000..d95fc05cf7 --- /dev/null +++ b/changelog/1134.breaking.3.rst @@ -0,0 +1,7 @@ +Removed the ``Tracker.synthetic_radiograph()`` method and created the +standalone function +:func:`~plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph` +in its place. This new function takes either a +`~plasmapy.diagnostics.charged_particle_radiography.Tracker` object or +a dictionary equivalent to +`~plasmapy.diagnostics.charged_particle_radiography.Tracker.results_dict`. diff --git a/changelog/1134.bugfix.rst b/changelog/1134.bugfix.rst new file mode 100644 index 0000000000..1f2b77824c --- /dev/null +++ b/changelog/1134.bugfix.rst @@ -0,0 +1,5 @@ +Running `~plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph` +with the ``optical_density=True`` keyword will now return `numpy.inf` +where the source profile intensity is zero. Previously, an incorrect value +was returned since zero entries were replaced with values of ``1`` before +taking the logarithm. diff --git a/changelog/1134.feature.rst b/changelog/1134.feature.rst new file mode 100644 index 0000000000..43da12ccf5 --- /dev/null +++ b/changelog/1134.feature.rst @@ -0,0 +1,5 @@ +Added the +:meth:`~plasmapy.diagnostics.charged_particle_radiography.Tracker.save_results` +method to `~plasmapy.diagnostics.charged_particle_radiography.Tracker` +for saving results to a ``.npz`` file format (see `numpy.lib.format` for +details on the file format). diff --git a/changelog/1134.trivial.rst b/changelog/1134.trivial.rst new file mode 100644 index 0000000000..21a71d6f18 --- /dev/null +++ b/changelog/1134.trivial.rst @@ -0,0 +1,3 @@ +`~plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph` +now determines the default detector size to be the smallest detector +plane centered on the origin that includes all particles. diff --git a/docs/ad/diagnostics/charged_particle_radiography.rst b/docs/ad/diagnostics/charged_particle_radiography.rst new file mode 100644 index 0000000000..cfd1bf17cb --- /dev/null +++ b/docs/ad/diagnostics/charged_particle_radiography.rst @@ -0,0 +1,16 @@ +.. _charged_particle_radiography: + +************************************* +Charged particle radiography analysis +************************************* + +.. currentmodule:: plasmapy.diagnostics.charged_particle_radiography + +.. automodapi:: plasmapy.diagnostics.charged_particle_radiography + +.. nbgallery:: + :caption: Examples + + /notebooks/diagnostics/charged_particle_radiography_particle_tracing + /notebooks/diagnostics/charged_particle_radiography_particle_tracing_custom_source + /notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh diff --git a/docs/ad/diagnostics/index.rst b/docs/ad/diagnostics/index.rst index 7a374ef052..0cf590b59a 100644 --- a/docs/ad/diagnostics/index.rst +++ b/docs/ad/diagnostics/index.rst @@ -10,7 +10,7 @@ :maxdepth: 1 :caption: Sub-Packages & Modules - proton_radiography + charged_particle_radiography Swept Langmuir (will be deprecated) thomson diff --git a/docs/ad/diagnostics/proton_radiography.rst b/docs/ad/diagnostics/proton_radiography.rst deleted file mode 100644 index 82c46e79ea..0000000000 --- a/docs/ad/diagnostics/proton_radiography.rst +++ /dev/null @@ -1,16 +0,0 @@ -.. _proton_radiography: - -*************************** -Proton radiography analysis -*************************** - -.. currentmodule:: plasmapy.diagnostics.proton_radiography - -.. automodapi:: plasmapy.diagnostics.proton_radiography - -.. nbgallery:: - :caption: Examples - - /notebooks/diagnostics/proton_radiography_particle_tracing - /notebooks/diagnostics/proton_radiography_particle_tracing_custom_source - /notebooks/diagnostics/proton_radiography_particle_tracing_wire_mesh diff --git a/docs/index.rst b/docs/index.rst index 035f585794..3933950d96 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -20,7 +20,7 @@ Example highlights .. nbgallery:: :hidden: - notebooks/diagnostics/proton_radiography_particle_tracing + notebooks/diagnostics/charged_particle_radiography_particle_tracing notebooks/dispersion/two_fluid_dispersion notebooks/diagnostics/thomson notebooks/analysis/swept_langmuir/find_floating_potential diff --git a/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing.ipynb b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing.ipynb new file mode 100644 index 0000000000..75162c915d --- /dev/null +++ b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing.ipynb @@ -0,0 +1,544 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating Synthetic Charged Particle Radiographs by Particle Tracing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[charged_particle_radiography]: ../../ad/diagnostics/charged_particle_radiography.rst\n", + "\n", + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "[synthetic_radiograph]:\n", + "../../api/plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph.rst#plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph\n", + "\n", + "Charged particle radiography is a diagnostic technique often used to interrogate the electric and magnetic fields inside high energy density plasmas. The area of interest is positioned between a bright source of charged particles (usually protons) and a detector plane. Electric and magnetic fields in the plasma deflect the particles, producing patterns on the detector. Since this represents a non-linear and line-integrated measurement of the fields, the interpretation of these \"charged particle radiographs\" is complicated.\n", + "\n", + "The [Tracker] class within the [charged_particle_radiography] module creates a synthetic charged particle radiographs given a grid of electric and magnetic field (produced either by simulations or analytical models). After the geometry of the problem has been set up, a particle tracing algorithm is run, pushing the particles through the field region. After all of the particles have reached the detector plane, a synthetic radiograph is created by making a 2D histogram in that plane using the [synthetic_radiograph] function." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "import astropy.constants as const\n", + "import astropy.units as u\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "from plasmapy.diagnostics import charged_particle_radiography as cpr\n", + "from plasmapy.plasma.grids import CartesianGrid" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", + "\n", + "To illustrate the use of this package, we'll first create an example [CartesianGrid] object and fill it with the analytical electric field produced by a sphere of Gaussian potential." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a Cartesian grid\n", + "L = 1 * u.mm\n", + "grid = CartesianGrid(-L, L, num=100)\n", + "\n", + "# Create a spherical potential with a Gaussian radial distribution\n", + "radius = np.linalg.norm(grid.grid, axis=3)\n", + "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", + "potential = 2e5 * np.exp(-(arg ** 2)) * u.V\n", + "\n", + "# Calculate E from the potential\n", + "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", + "Ex = -np.where(radius < L / 2, Ex, 0)\n", + "Ey = -np.where(radius < L / 2, Ey, 0)\n", + "Ez = -np.where(radius < L / 2, Ez, 0)\n", + "\n", + "# Add those quantities to the grid\n", + "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", + "\n", + "\n", + "# Plot the E-field\n", + "fig = plt.figure(figsize=(8, 8))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.view_init(30, 30)\n", + "\n", + "# skip some points to make the vector plot intelligable\n", + "s = tuple([slice(None, None, 6)] * 3)\n", + "\n", + "ax.quiver(\n", + " grid.pts0[s].to(u.mm).value,\n", + " grid.pts1[s].to(u.mm).value,\n", + " grid.pts2[s].to(u.mm).value,\n", + " grid[\"E_x\"][s],\n", + " grid[\"E_y\"][s],\n", + " grid[\"E_z\"][s],\n", + " length=1e-6,\n", + ")\n", + "\n", + "ax.set_xlabel(\"X (mm)\")\n", + "ax.set_ylabel(\"Y (mm)\")\n", + "ax.set_zlabel(\"Z (mm)\")\n", + "ax.set_xlim(-1, 1)\n", + "ax.set_ylim(-1, 1)\n", + "ax.set_zlim(-1, 1)\n", + "ax.set_title(\"Gaussian Potential Electric Field\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[astropy.units.Quantity]: https://docs.astropy.org/en/stable/units/quantity.html#quantity\n", + "\n", + "Prior to running the particle tracing algorithm, the simulation instance must be instantiated by providing some information about the setup, including the locations of the source and detector relative to the origin of the grid.\n", + "\n", + "\n", + "\n", + "The source and detector coordinates are entered as a 3-tuple in one of three coordinate systems: Cartesian ($x$, $y$, $z$), spherical ($r$, $\\theta$, $\\phi$) or cylindrical ($r$, $\\theta$, $z$). All values should be [astropy.units.Quantity] instances with units of either length or angle. The vector from the source to the detector should pass through the origin to maximize the number of particles that pass through the simulated fields." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Source: [ 0. -0.01 0. ] m\n", + "Detector: [0. 0.1 0. ] m\n", + "Magnification: 11.0\n" + ] + } + ], + "source": [ + "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", + "detector = (0 * u.mm, 100 * u.mm, 0 * u.mm)\n", + "\n", + "sim = cpr.Tracker(grid, source, detector, verbose=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", + "\n", + "\n", + "Note that, since the example grid did not include a B-field, the B-field is assumed to be zero and a warning is printed.\n", + "\n", + "Next, a distribution of `nparticles` simulated particles of energy `particle_energy` is created using the [create_particles()] method. Setting the `max_theta` parameter eliminates particles with large angles (relative to the source-detector axis) which otherwise would likely not hit the detector. Particles with angles less than $\\theta_{max}$ but greater than $\\theta_{track}$ in the setup figure above will not cross the grid. These particles are retained, but are coasted directly to the detector plane instead of being pushed through the grid.\n", + "\n", + "The `particle` keyword sets the type of the particles being tracked. The default particle is protons, which is set here explicitly to demonstrate the use of the keyword.\n", + "\n", + "By default, the particle velocities are initialized with random angles (a Monte-Carlo approach) with a uniform flux per unit solid angle. However, particles can also be initialized in other ways by setting the `distribution` keyword." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Creating Particles\n" + ] + } + ], + "source": [ + "sim.create_particles(1e5, 3 * u.MeV, max_theta=np.pi / 15 * u.rad, particle=\"p\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[AbstractGrid]: ../../api/plasmapy.plasma.grids.AbstractGrid.rst#plasmapy.plasma.grids.AbstractGrid\n", + "\n", + "[run()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.run\n", + "\n", + "The particle tracking simulation is now ready to run. In brief, the steps of the simulation cycle are as follows:\n", + "\n", + "1. Particles that will never hit the field grid are ignored (until a later step, when they will be automatically advanced to the detector plane).\n", + "\n", + "\n", + "2. Particles are advanced to the time when the first particle enters the simulation volume. This is done in one step to save computation time.\n", + "\n", + "\n", + "3. While particles are on the grid, the particle pusher advances them each timestep by executing the following steps:\n", + "\n", + " A. The fields at each particle's location are interpolated using the interpolators defined in the [AbstractGrid] subclasses.\n", + " \n", + " B. The simulation timestep is automatically (and adaptively) calculated based on the proton energy, grid resolution, and field amplitudes. This timestep can be clamped or overridden by setting the `dt` keyword in the [run()] function.\n", + " \n", + " C. An implementation of the Boris particle push algorithm is used to advance the velocities and positions of the particles in the interpolated fields.\n", + " \n", + " \n", + "4. After all of the particles have left the grid, all particles are advanced to the detector plane (again saving time). Particles that are headed away from the detector plane at this point are deleted, as those particles will never\n", + "be detected.\n", + "\n", + "When the simulation runs, a progress meter will show the number of particles currently on the grid. This bar will start at zero, increase as particles enter the grid, then decrease as they leave it. When almost all particles have left the grid, the simulation ends." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Particles on grid: 0%| 1.5e+02/5.6e+04 particles\n", + "Run completed\n", + "Fraction of particles tracked: 55.6%\n", + "Fraction of tracked particles that entered the grid: 64.0%\n", + "Fraction of tracked particles deflected away from the detector plane: 0.0%\n" + ] + } + ], + "source": [ + "sim.run();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following plot illustrates that, after the simulation has ended, all particles have been advanced to the detector plane." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8, 8))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.view_init(30, 150)\n", + "ax.set_xlabel(\"X (cm)\")\n", + "ax.set_ylabel(\"Y (cm)\")\n", + "ax.set_zlabel(\"Z (cm)\")\n", + "\n", + "# Plot the source-to-detector axis\n", + "ax.quiver(\n", + " sim.source[0] * 100,\n", + " sim.source[1] * 100,\n", + " sim.source[2] * 100,\n", + " sim.detector[0] * 100,\n", + " sim.detector[1] * 100,\n", + " sim.detector[2] * 100,\n", + " color=\"black\",\n", + ")\n", + "\n", + "# Plot the simulation field grid volume\n", + "ax.scatter(0, 0, 0, color=\"green\", marker=\"s\", linewidth=5, label=\"Simulated Fields\")\n", + "\n", + "# Plot the the proton source and detector plane locations\n", + "ax.scatter(\n", + " sim.source[0] * 100,\n", + " sim.source[1] * 100,\n", + " sim.source[2] * 100,\n", + " color=\"red\",\n", + " marker=\"*\",\n", + " linewidth=5,\n", + " label=\"Source\",\n", + ")\n", + "\n", + "ax.scatter(\n", + " sim.detector[0] * 100,\n", + " sim.detector[1] * 100,\n", + " sim.detector[2] * 100,\n", + " color=\"blue\",\n", + " marker=\"*\",\n", + " linewidth=10,\n", + " label=\"Detector\",\n", + ")\n", + "\n", + "\n", + "# Plot the final proton positions of some (not all) of the protons\n", + "ind = slice(None, None, 200)\n", + "ax.scatter(\n", + " sim.x[ind, 0] * 100, sim.x[ind, 1] * 100, sim.x[ind, 2] * 100, label=\"Protons\",\n", + ")\n", + "\n", + "ax.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[synthetic_radiograph]:\n", + "../../api/plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph.rst#plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph\n", + "\n", + "A 'synthetic proton radiograph' can now be constructed by creating a 2D histogram of proton positions in the image plane. The [synthetic_radiograph] function takes one argument and two keywords:\n", + "\n", + "- 'sim' is the `Tracker` instance or an output dictionary created by the `save_results()` method that contains the final particle positions in the detector plane.\n", + "\n", + "- 'size' gives the locations of the lower left and upper right corners of the detector grid in image plane coordinates.\n", + "\n", + "- 'bins' is the number of histogram bins to be used in the horizontal and vertical directions. Using more bins creates a higher resolution image, but at the cost of more noise." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "nbsphinx-thumbnail": { + "output-index": -1, + "tooltip": "Proton Radiography" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# A function to reduce repetative plotting\n", + "def plot_radiograph(hax, vax, intensity):\n", + " fig, ax = plt.subplots(figsize=(8, 8))\n", + " plot = ax.pcolormesh(\n", + " hax.to(u.cm).value,\n", + " vax.to(u.cm).value,\n", + " intensity.T,\n", + " cmap=\"Blues_r\",\n", + " shading=\"auto\",\n", + " )\n", + " cb = fig.colorbar(plot)\n", + " cb.ax.set_ylabel(\"Intensity\")\n", + " ax.set_aspect(\"equal\")\n", + " ax.set_xlabel(\"X (cm), Image plane\")\n", + " ax.set_ylabel(\"Z (cm), Image plane\")\n", + " ax.set_title(\"Synthetic Proton Radiograph\")\n", + "\n", + "\n", + "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", + "bins = [200, 200]\n", + "hax, vax, intensity = cpr.synthetic_radiograph(sim, size=size, bins=bins)\n", + "plot_radiograph(hax, vax, intensity)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, the outward-pointing electric field in the sphere has deflected the protons out of the central region, leaving a dark shadow.\n", + "\n", + "Kugland et al. 2012 and Bott et al. 2017 define the dimensionless \"contrast parameter\" that separates different regimes of proton radiography:\n", + "\n", + "\\begin{equation}\n", + "\\mu = \\frac{l \\alpha}{a}\n", + "\\end{equation}\n", + "Where $l$ is the distance from the source to the grid, $a$ is the spatial scale of the scattering electromagnetic fields, and $\\alpha$ is the particle deflection angle. The value of $\\mu$ can fall in one of three regimes:\n", + "\n", + "\\begin{align}\n", + "\\mu &\\ll 1 \\rightarrow \\text{ linear}\\\\\n", + "\\mu &< \\mu_c \\rightarrow \\text{ nonlinear injective}\\\\\n", + "\\mu &> \\mu_c \\rightarrow \\text{ caustic}\\\\\n", + "\\end{align}\n", + "\n", + "where $\\mu_c \\sim 1$ is a characteristic value at which particle paths cross, leading to the formation of bright caustics. Correctly placing a radiograph in the correct regime is necessary to determine which analysis techniques can be applied to it.\n", + "\n", + "The maximum deflection angle can be calculated after the simulation has run by comparing the initial and final velocity vectors of each particle" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Maximum deflection α = 2.77 deg\n" + ] + } + ], + "source": [ + "max_deflection = sim.max_deflection\n", + "print(f\"Maximum deflection α = {np.rad2deg(max_deflection):.2f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The spatial scale of the field constructed in this example is $\\sim$ 1 mm, and $l$ is approximately the distance from the source to the grid origin. Therefore, we can calculate the value of $\\mu$" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a = 1.0 mm\n", + "l = 10.0 mm\n", + "μ = 0.48\n" + ] + } + ], + "source": [ + "a = 1 * u.mm\n", + "l = np.linalg.norm(sim.source * u.m).to(u.mm)\n", + "mu = l * max_deflection.value / a\n", + "print(f\"a = {a}\")\n", + "print(f\"l = {l:.1f}\")\n", + "print(f\"μ = {mu:.2f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "which places this example in the non-linear injective regime." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Options" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", + "\n", + "For sake of comparison, here is the result achieved by setting `distribution = 'uniform'` in the [create_particles()] function." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Source: [ 0. -0.01 0. ] m\n", + "Detector: [0. 0.1 0. ] m\n", + "Magnification: 11.0\n", + "Creating Particles\n", + "Particles on grid: 0%| 2.2e+02/8.6e+04 particles\n", + "Run completed\n", + "Fraction of particles tracked: 85.9%\n", + "Fraction of tracked particles that entered the grid: 66.0%\n", + "Fraction of tracked particles deflected away from the detector plane: 0.0%\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(grid, source, detector, verbose=True)\n", + "sim.create_particles(\n", + " 1e5, 3 * u.MeV, max_theta=np.pi / 15 * u.rad, distribution=\"uniform\"\n", + ")\n", + "sim.run()\n", + "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", + "bins = [200, 200]\n", + "hax, vax, intensity = cpr.synthetic_radiograph(sim, size=size, bins=bins)\n", + "plot_radiograph(hax, vax, intensity)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_custom_source.ipynb b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_custom_source.ipynb new file mode 100644 index 0000000000..390c6180b4 --- /dev/null +++ b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_custom_source.ipynb @@ -0,0 +1,740 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Synthetic Radiographs with Custom Source Profiles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "In real charged particle radiography experiments, the finite size and distribution of the particle source limits the resolution of the radiograph. Some realistic sources produce particles with a non-uniform angular distribution that then superimposes a large scale \"source profile\" on the radiograph. For these reasons, the \n", + "[Tracker] particle tracing class allows users to specify their own initial particle positions and velocities. This example will demonstrate how to use this functionality to create a more realistic synthetic radiograph that includes the effects from a non-uniform, finite source profile." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import astropy.constants as const\n", + "import astropy.units as u\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import warnings\n", + "\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "from plasmapy.diagnostics import charged_particle_radiography as cpr\n", + "from plasmapy.formulary.mathematics import rot_a_to_b\n", + "from plasmapy.particles import Particle\n", + "from plasmapy.plasma.grids import CartesianGrid" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Contents\n", + "\n", + "1. [Creating Particles](#Creating-Particles)\n", + " 1. [Creating the Initial Particle Velocities](#Creating-the-Initial-Particle-Velocities)\n", + " 1. [Creating the Initial Particle Positions](#Creating-the-Initial-Particle-Positions)\n", + "1. [Creating a Synthetic Radiograph](#Creating-a-Synthetic-Radiograph)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating Particles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example we will create a source of 1e5 protons with a 5% variance in energy, a non-uniform angular velocity distribution, and a finite size." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "nparticles = 1e5\n", + "particle = Particle(\"p+\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will choose a setup in which the source-detector axis is parallel to the $y$-axis." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# define location of source and detector plane\n", + "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", + "detector = (0 * u.mm, 100 * u.mm, 0 * u.mm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Creating the Initial Particle Velocities" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will create the source distribution by utilizing the method of separation of variables,\n", + "\n", + "$$f(v, \\theta, \\phi)=u(v)g(\\theta)h(\\phi)$$\n", + "\n", + "and separately define the distribution component for each independent variable, $u(v)$, $g(\\theta)$, and $h(\\phi)$. For geometric convenience, we will generate the velocity vector distribution around the $z$-axis and then rotate the final velocities to be parallel to the source-detector axis (in this case the $y$-axis).\n", + "\n", + "\n", + "\n", + "\n", + "First we will create the orientation angles polar ($\\theta$) and azimuthal ($\\phi$) for each particle. Generating $\\phi$ is simple: we will choose the azimuthal angles to just be uniformly distributed" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "phi = np.random.uniform(high=2 * np.pi, size=int(nparticles))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, choosing $\\theta$ is more complicated. Since the solid angle $d\\Omega = sin \\theta d\\theta d\\phi$, if we draw a uniform distribution of $\\theta$ we will create a non-uniform distribution of particles in solid angle. This will create a sharp central peak on the detector plane." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "theta = np.random.uniform(high=np.pi / 2, size=int(nparticles))\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 6))\n", + "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", + "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", + "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", + "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", + "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", + "ax.set_yscale(\"log\")\n", + "ax.set_xlim(0, np.pi / 2)\n", + "ax.set_ylim(None, 1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", + "\n", + "To create a uniform distribution in solid angle, we need to draw values of $\\theta$ with a probability distribution weighted by $\\sin \\theta$. This can be done using the [np.random.choice()] function, which draws `size` elements from a distribution `arg` with a probability distribution `prob`. Setting the `replace` keyword allows the same arguments to be drawn multiple times." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "arg = np.linspace(0, np.pi / 2, num=int(1e5))\n", + "prob = np.sin(arg)\n", + "prob *= 1 / np.sum(prob)\n", + "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 6))\n", + "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", + "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", + "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", + "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", + "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", + "ax.set_yscale(\"log\")\n", + "ax.set_xlim(0, np.pi / 2)\n", + "ax.set_ylim(None, 0.1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", + "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", + "\n", + "Now that we have a $\\theta$ distribution that is uniform in solid angle, we can perturb it by adding additional factors to the probability distribution used in [np.random.choice()]. For this case, let's create a Gaussian distribution in solid angle.\n", + "\n", + "Since particles moving at large angles will not be seen in the synthetic radiograph, we will set an upper bound $\\theta_{max}$ on the argument here. This is equivalent to setting the `max_theta` keyword in [create_particles()]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "arg = np.linspace(0, np.pi / 8, num=int(1e5))\n", + "prob = np.sin(arg) * np.exp(-(arg ** 2) / 0.1 ** 2)\n", + "prob *= 1 / np.sum(prob)\n", + "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 6))\n", + "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", + "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", + "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", + "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", + "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", + "ax.set_yscale(\"log\")\n", + "ax.set_xlim(0, np.pi / 2)\n", + "ax.set_ylim(None, 1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that the angular distributions are done, we will determine the energy (speed) for each particle. For this example, we will assume that the particle energy distribution is not a function of angle. We will create a Gaussian distribution of speeds with ~5% variance centered on a particle energy of 15 MeV." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "v_cent = np.sqrt(2 * 15 * u.MeV / particle.mass).to(u.m / u.s).value\n", + "v0 = np.random.normal(loc=v_cent, scale=1e6, size=int(nparticles))\n", + "v0 *= u.m / u.s\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 6))\n", + "v_per_bin, bins = np.histogram(v0.si.value, bins=100)\n", + "ax.plot(bins[1:], v_per_bin / np.sum(v_per_bin))\n", + "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", + "ax.set_xlabel(\"v0 (m/s)\", fontsize=14)\n", + "ax.set_ylabel(\"N/N$_0$\", fontsize=14)\n", + "ax.axvline(x=1.05 * v_cent, label=\"+5%\", color=\"C1\")\n", + "ax.axvline(x=0.95 * v_cent, label=\"-5%\", color=\"C2\")\n", + "ax.legend(fontsize=14, loc=\"upper right\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we will construct velocity vectors centered around the z-axis for each particle." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "vel = np.zeros([int(nparticles), 3]) * u.m / u.s\n", + "vel[:, 0] = v0 * np.sin(theta) * np.cos(phi)\n", + "vel[:, 1] = v0 * np.sin(theta) * np.sin(phi)\n", + "vel[:, 2] = v0 * np.cos(theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[rot_a_to_b()]: ../../api/plasmapy.formulary.mathematics.rot_a_to_b.rst#plasmapy.formulary.mathematics.rot_a_to_b\n", + "\n", + "Finally, we will use the function [rot_a_to_b()] to create a rotation matrix that will rotate the `vel` distribution so the distribution is centered about the $y$ axis instead of the $z$ axis." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "a = np.array([0, 0, 1])\n", + "b = np.array([0, 1, 0])\n", + "R = rot_a_to_b(a, b)\n", + "vel = np.matmul(vel, R)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since the velocity vector distribution should be symmetric about the $y$ axis, we can confirm this by checking that the normalized average velocity vector is close to the $y$ unit vector." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-6.70632797e-05 9.99999885e-01 -4.75720385e-04]\n" + ] + } + ], + "source": [ + "avg_v = np.mean(vel, axis=0)\n", + "print(avg_v / np.linalg.norm(avg_v))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Creating the Initial Particle Positions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For this example, we will create an initial position distribution representing a laser spot centered on the source location defined above as `source`. The distribution will be cylindrical (oriented along the $y$-axis) with a uniform distribution in y and a Gaussian distribution in radius (in the xz plane). We therefore need to create distributions in $y$, $\\theta$, and $r$, and then transform those into Cartesian positions.\n", + "\n", + "Just as we previously weighted the $\\theta$ distribution with a $sin \\theta$ probability distribution to generate a uniform distribution in solid angle, we need to weight the $r$ distribution with a $r$ probability distribution so that the particles are uniformly distributed over the area of the disk." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "dy = 300 * u.um\n", + "y = np.random.uniform(\n", + " low=(source[1] - dy).to(u.m).value,\n", + " high=(source[1] + dy).to(u.m).value,\n", + " size=int(nparticles),\n", + ")\n", + "\n", + "arg = np.linspace(1e-9, 1e-3, num=int(1e5))\n", + "prob = arg * np.exp(-((arg / 3e-4) ** 2))\n", + "prob *= 1 / np.sum(prob)\n", + "r = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", + "\n", + "\n", + "theta = np.random.uniform(low=0, high=2 * np.pi, size=int(nparticles))\n", + "\n", + "x = r * np.cos(theta)\n", + "z = r * np.sin(theta)\n", + "\n", + "hist, xpos, zpos = np.histogram2d(\n", + " x * 1e6, z * 1e6, bins=[100, 100], range=np.array([[-5e2, 5e2], [-5e2, 5e2]])\n", + ")\n", + "\n", + "hist2, xpos2, ypos = np.histogram2d(\n", + " x * 1e6,\n", + " (y - source[1].to(u.m).value) * 1e6,\n", + " bins=[100, 100],\n", + " range=np.array([[-5e2, 5e2], [-5e2, 5e2]]),\n", + ")\n", + "\n", + "fig, ax = plt.subplots(ncols=2, figsize=(12, 6))\n", + "fig.subplots_adjust(wspace=0.3, right=0.8)\n", + "fig.suptitle(\"Initial Particle Position Distribution\", fontsize=14)\n", + "vmax = np.max([np.max(hist), np.max(hist2)])\n", + "\n", + "p1 = ax[0].pcolormesh(xpos, zpos, hist.T, vmax=vmax)\n", + "ax[0].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", + "ax[0].set_ylabel(\"z ($\\\\mu m$)\", fontsize=14)\n", + "ax[0].set_aspect(\"equal\")\n", + "\n", + "p2 = ax[1].pcolormesh(xpos2, ypos, hist2.T, vmax=vmax)\n", + "ax[1].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", + "ax[1].set_ylabel(\"y - $y_0$ ($\\\\mu m$)\", fontsize=14)\n", + "ax[1].set_aspect(\"equal\")\n", + "\n", + "cbar_ax = fig.add_axes([0.85, 0.2, 0.03, 0.6])\n", + "cbar_ax.set_title(\"# Particles\")\n", + "fig.colorbar(p2, cax=cbar_ax);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally we will combine these position arrays into an array with units." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "pos = np.zeros([int(nparticles), 3]) * u.m\n", + "pos[:, 0] = x * u.m\n", + "pos[:, 1] = y * u.m\n", + "pos[:, 2] = z * u.m" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating a Synthetic Radiograph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To create an example synthetic radiograph, we will first create a field grid representing the analytical electric field produced by a sphere of Gaussian potential." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a Cartesian grid\n", + "L = 1 * u.mm\n", + "grid = CartesianGrid(-L, L, num=100)\n", + "\n", + "# Create a spherical potential with a Gaussian radial distribution\n", + "radius = np.linalg.norm(grid.grid, axis=3)\n", + "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", + "potential = 6e5 * np.exp(-(arg ** 2)) * u.V\n", + "\n", + "# Calculate E from the potential\n", + "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", + "mask = radius < L / 2\n", + "Ex = -np.where(mask, Ex, 0)\n", + "Ey = -np.where(mask, Ey, 0)\n", + "Ez = -np.where(mask, Ez, 0)\n", + "\n", + "# Add those quantities to the grid\n", + "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", + "\n", + "\n", + "# Plot the E-field\n", + "fig = plt.figure(figsize=(8, 8))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.view_init(30, 30)\n", + "\n", + "# skip some points to make the vector plot intelligable\n", + "s = tuple([slice(None, None, 6)] * 3)\n", + "\n", + "ax.quiver(\n", + " grid.pts0[s].to(u.mm).value,\n", + " grid.pts1[s].to(u.mm).value,\n", + " grid.pts2[s].to(u.mm).value,\n", + " grid[\"E_x\"][s],\n", + " grid[\"E_y\"][s],\n", + " grid[\"E_z\"][s],\n", + " length=5e-7,\n", + ")\n", + "\n", + "ax.set_xlabel(\"X (mm)\", fontsize=14)\n", + "ax.set_ylabel(\"Y (mm)\", fontsize=14)\n", + "ax.set_zlabel(\"Z (mm)\", fontsize=14)\n", + "ax.set_xlim(-1, 1)\n", + "ax.set_ylim(-1, 1)\n", + "ax.set_zlim(-1, 1)\n", + "ax.set_title(\"Gaussian Potential Electric Field\", fontsize=14);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will then create the synthetic radiograph object. The warning filter ignores a warning that arises because $B_x$, $B_y$, $B_z$ are not provided in the grid (they will be assumed to be zero)." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "with warnings.catch_warnings():\n", + " warnings.simplefilter(\"ignore\")\n", + " sim = cpr.Tracker(grid, source, detector, verbose=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", + "\n", + "[load_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.load_particles\n", + "\n", + "Now, instead of using [create_particles()] to create the particle distribution, we will use the [load_particles()] function to use the particles we have created above." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "sim.load_particles(pos, vel, particle=particle)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now the particle radiograph simulation can be run as usual." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "sim.run();" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "nbsphinx-thumbnail": { + "output-index": -1, + "tooltip": "Proton Radiograph with source profile" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", + "bins = [200, 200]\n", + "hax, vax, intensity = cpr.synthetic_radiograph(sim, size=size, bins=bins)\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "plot = ax.pcolormesh(\n", + " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", + ")\n", + "cb = fig.colorbar(plot)\n", + "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", + "ax.set_aspect(\"equal\")\n", + "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", + "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", + "ax.set_title(\"Synthetic Proton Radiograph\", fontsize=14);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[synthetic_radiograph()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph.rst#plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph\n", + "\n", + "Calling the [synthetic_radiograph()] function with the `ignore_grid` keyword will produce the synthetic radiograph corresponding to the source profile propagated freely through space (i.e. in the absence of any grid fields)." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "hax, vax, intensity = cpr.synthetic_radiograph(\n", + " sim, size=size, bins=bins, ignore_grid=True\n", + ")\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "plot = ax.pcolormesh(\n", + " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", + ")\n", + "cb = fig.colorbar(plot)\n", + "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", + "ax.set_aspect(\"equal\")\n", + "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", + "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", + "ax.set_title(\"Source Profile\", fontsize=14);" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6, 6))\n", + "ax.plot(hax.to(u.cm).value, np.mean(intensity, axis=0))\n", + "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", + "ax.set_ylabel(\"Mean intensity\", fontsize=14)\n", + "ax.set_title(\"Mean source profile\", fontsize=14);" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.10" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb new file mode 100644 index 0000000000..3801fd4ecd --- /dev/null +++ b/docs/notebooks/diagnostics/charged_particle_radiography_particle_tracing_wire_mesh.ipynb @@ -0,0 +1,483 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Synthetic Charged Particle Radiographs with a Wire Mesh" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.add_wire_mesh\n", + "\n", + "In charged particle radiography experiments a wire mesh grid is often placed between the particle source and the object of interest, leaving a shadow of the grid in the particle fluence. The displacement of these shadow grid lines can then be used to quantitatively extract the line-integrated force experienced at each grid vertex.\n", + "\n", + "The [Tracker] class includes a method ([add_wire_mesh()]) that can be used to create synthetic radiographs with a mesh in place. In this example notebook we will illustrate the options available for creating and placing the mesh(s), the demonstrate the use of a mesh grid in a practical example." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import astropy.constants as const\n", + "import astropy.units as u\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import warnings\n", + "\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "from plasmapy.diagnostics import charged_particle_radiography as cpr\n", + "from plasmapy.plasma.grids import CartesianGrid" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating and Placing a Wire Mesh" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", + "\n", + "We will begin by creating an empty [CartesianGrid] object in which the electric and magnetic fields are zero. Particle tracing through this grid will allow us to image just the mesh once we add one in place. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "empty_grid = CartesianGrid(-1 * u.mm, 1 * u.mm, num=50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "The charged particle radiography [Tracker] will warn us every time we use this grid that the fields are not specified (before assuming that they are zero). The following line will silence this warning." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "warnings.simplefilter(\"ignore\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We'll also define a fixed source and detector that we won't change for the rest of the example." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", + "detector = (0 * u.mm, 200 * u.mm, 0 * u.mm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "\n", + "Finally, we'll create an instance of [Tracker]." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "sim = cpr.Tracker(empty_grid, source, detector, verbose=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", + "\n", + "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.add_wire_mesh\n", + "\n", + "[run()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.run\n", + "\n", + "Now it's time to create the mesh. [add_wire_mesh()] takes four required parameters:\n", + "\n", + "- `location` : A vector from the grid origin to the center of the mesh.\n", + "- `extent` : The size of the mesh. If two values are given the mesh is assumed to be rectangular (extent is the width, height), but if only one is provided the mesh is assumed to be circular (extent is the diameter).\n", + "- `nwires` : The number of wires in each direction. If only one value is given, it's assumed to be the same for both directions.\n", + "- `wire_diameter` : The diameter of each wire.\n", + "\n", + "[add_wire_mesh()] works by extrapolating the positions of the particles in the mesh plane (based on their initial velocities) and removing those particles that will hit the wires. When [add_wire_mesh()] is called, the description of the mesh is stored inside the [Tracker] object. Multiple meshes can be added. The particles are then removed when the [run()] method is called." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "location = np.array([0, -2, 0]) * u.mm\n", + "extent = (1 * u.mm, 1 * u.mm)\n", + "nwires = (9, 12)\n", + "wire_diameter = 20 * u.um\n", + "sim.add_wire_mesh(location, extent, nwires, wire_diameter)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that the mesh has been created, we will run the particle tracing simulation and create a synthetic radiograph to visualize the result. We'll wrap this in a function so we can use it again later." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def run_radiograph(sim, vmax=None):\n", + " sim.create_particles(1e5, 15 * u.MeV, max_theta=8 * u.deg)\n", + " sim.run(field_weighting=\"nearest neighbor\")\n", + " h, v, i = cpr.synthetic_radiograph(\n", + " sim, size=np.array([[-1, 1], [-1, 1]]) * 1.8 * u.cm, bins=[200, 200]\n", + " )\n", + "\n", + " if vmax is None:\n", + " vmax = np.max(i)\n", + "\n", + " fig, ax = plt.subplots(figsize=(8, 8))\n", + " ax.pcolormesh(h.to(u.mm).value, v.to(u.mm).value, i.T, cmap=\"Blues_r\", vmax=vmax)\n", + " ax.set_aspect(\"equal\")\n", + " ax.set_xlabel(\"X (mm)\")\n", + " ax.set_ylabel(\"Y (mm)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "run_radiograph(sim)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that the distance from the source to the mesh is $10 - 2 = 8$ mm, while the distance from the mesh to the detector is $200 + 2 = 202$ mm. The magnification is therefore $M = 1 + 202/8 = 26.25$, so the $1$ mm wide mesh is $26.25$ mm wide in the image.\n", + "\n", + "Changing the `location` keyword can change both the magnification and shift the mesh center." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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uNXq21DFPBKsiQObpxFvDJkDqO21JrWrPzkiug3c8oJJHTcT0y/OnztnLag9ZxrK+MyMx64hTtaznef5FAP/hNOdACCGE7DunHrOepuk6AD85z/NNy8/fDuBvAvj/ALwbwH83z3OT7jdN020AbgMAfMInP+/jX3JnO3giozaqV9TWZirO4pGoy9VtGK1YzO233bnaR0v8Af0M5jAe6sw3iikXEjHUMkcnIx4Yy4r35mmtukNLbhDrefFW4FHzGC+3wZJW1c/fUMa+EMS7d6mzTrWedZ7DJrZXM5Jt3nveR+Rxq/G7Mq+q6QjgtHysGamusPIiZL4Zi7QTU67p5elEHrDmmU14nZr8ggHLOrw+jnclkgfWTYes6+O+oweqCCL2Nmbt8GYAfxbA5wG4BOB7rY3meb5rnucvmOf5C6ZzT7uC0yOEEEKuLHv3x3qe59+e5/lP5nn+UwD/BMALTntOhBBCyGmyj27wa+Z5vrT8++8A+IvzPH9NNEYRRYmSCToSk5boQk9cwUoSKQQlOCMuJn1M130/0IVIu3IA2+1a71v3YBZXvHu9M/J/CyMdrsw5Khdk6YQWlGx5CSRhGZlD7fr0xCbCBLmObGRYWuWV88F/dnUvY9NNvUFqcqT80DuO2aErI17izXtE3MWb4wltGz5j3vd+QCAnxUB5Y7ecKXDNb3H/jrwzwufGE8IJSglHBHLCTnHOPoXEvYrc4KeaDT5N070AvhjAM6dpegTAtwH44mmaPg/ADOBhAF9/WvMjhBBC9oFTt6xPgqc/94b5+a95S/k5Iz7hNm/IiNsvbGqcYIzniXSsLHcvOcYYw+29HDT20JZMZAmUeTq/i6y1jEej12Slvq+3vvBaAJW1L2yw7qNz1VhJOo1IxnLPGmvWSEprklxUIiFQNQJR3oMo2a2bBHlSVhshZGfOWoIZIYQQQioOwrKWFpnCiCxl1B6xZ/GGAvKJOGXBa6JRWdM9CbyoNVs5jCqPEIsPiJsRjGLN5Tu+/AYAwOt++qH1XDZI+Vkxa+9eWeN0S0oCazMlw+qMF8bwOp4HwC8bMb0ezvMRldc0cX9CyBWFljUhhBByhjltudET4dy5J+L8+atzTScWMjHrYpsYsVIAZqtGGTcj2K8trEj2shdPrS2pWjgf8C2l+nMvW77ESSPLO5CGlPN/5WJJF+lWlVdgeRH0ORdPhiUHqrwF9xnTdG34gbaXjQxjotFGKMqhzqV4b4z2fw8+8gerbSMBGD0XOXfP6wKsqwMIIfsFLWtCCCFkzzkIy/rDv/t7R1ZLUHfaWM5eW75EDDJjITV1ooaVPHLMsqlq9qEl8oC23tetP63QMc5GhD8hZZnJ7L7nXUfz19ZmVNscZrErb4pYn1a2dq91os7atsaX63DRen6c691sm6gRvl//HseNNpoM+0gjQOLl0mhAeQJ2rWgI6289Es9jw4j8rVNbO9QCdKReNqrHdermo4qA0GOypYZ8JEcje28CLQsh9PhkSLbItDyczbZWu07lLdxUIeTMqR5n0/NnQMuaEEII2XMOwrLGuScfrYK0JRNk9RYL1bFWgDo7drF29KrNai2nVbGs+XoZzImVl85Ary3q442URRHEQT2aeUfWg+yTyDJvLFXVTs88lmd1VscSi1qPX48r97rcV7G+l+tkxeWbZhPqXFcraXmGvDaRxn2X8cpnkZqdc18tNaVyJnIdnKz7oWY0mf0TFqn+XnlNF4B+o5N6m2Z/px1rfUxNVGMvx7yYyKzX4zX5KMGx9btp5UnS8x+w/kSFUDeqiNrJevk6Vpvd5l4ZHp9a8Q9o8zBGmuvI8V7/itce7+/cC6tdZ6iMWBE9Exnvwa7fMYGWNSGEELLn8I81IYQQsucclCiK5zID/CSUsERpwFWm98/0jt3SsMJjqC90JDGpGWmyMCB8r11+IhsKHLvptNsu5S6V4wZym96c5BxvfM4nlW2bsrcoAWckYcqbkzoPSzLXS0Ayn3c1vlBcukZIpJE1jebtlPzp49Tzj+RXhe42hnhR75y39EoG8t/tTD/uSFAp0/s61Rymx0gTIEVUhti4yi2XdE/yN+h/XojmHzRQ6uE9L/WzoL83YTOQgeQ8gaIohBBCyBnmIBLMHvvQH+LShZ9qLC4rCcWjlOsYq1iNtZpqSpwS8pdlfkq4YkT6NFpdPvSO7wEA3HDbIkAiSXDmWWG1TVn5GyU/TYKQ13qv2r/su1hMYrVJEo21Ur/9jfYcrbIXN5EnKlNTlrCco1WWVeYdicM4rfu0zKu5jzofwbIMmnHU8wO05Yv6eYnKD+8esED1tdRPuXXOurzOohFoCZ6xS871buaYYTlOXeIjc7GS24C+YFEPz5ti3nuVFFk+39B0JWxj6lDmZLyb5LqX62OVWjrldLLPqrTqDuec9LNmzN8tnQ1Kzpr7aFwLtwWnQar18QC0rAkhhJA95zBj1kJCrCDTXKHgxFsBvxwqajav4z+NJWaIizQxE2t8p+GIJyUKtG0XPeuwPqagY1V1/Pmed33g6By9OLfFSYhaLFjX3TtHnTsA+B4My8py41gZoQmnWYkVL2ti14Hl6DUeaT635rWlRaYa48KdLyv/vvnl37LaRl/TqGVrqj2tN5cNohZWrH2TuEci78WNg1r7eR67gda+0bbd71oiL8V8tpxxdrI+B5okCWZZaecZs+bWeD8yMevEc8iYNSGEEHKGOSjLWrBWm3ol5K7+MjEII/NVPpN4rs5itbKpw2xMNb7OHG8IzjVqu1jm31nZDgkDGCvdktl9252r8UyrSmUN66xk09p0VrhWNnXvnEwpSC9HYCDHYSj71riWntUTyo3q5yVh3Q/hZDtHMfGH7jq6J5JLEWb597wUMDKUPQtpINM4xYAca5i5n5AkTY9v4XiqyvGN69JtEpOI/erPm2PB8P4NWNhmbN8TcbFkjbV31Zmb9c7Vv0tV4ySgZU0IIYScYQ4jG/yPH7ObR1TbaMurkctL1GbLeJb1ICs5iYPINpcuLENUMV/XOnNkSOv9XeusWvlaq8gas462E5+PmnM02xjWiVjUntVjWWIyP2051XNpvBxqbvV1D1tV1nOKmkQoKdvUSl2eH8OqbZ5V1XgDVvw8I2FZeSrqcSPJWT2/LfHESMpWvE5iUVvf0zKXgbh/0zo1sNS7ZOrnE+O718yoFunNc+fmEE4+RBTT73n7XlrJhjYVElHmtfP9PM4RMHJMHEyLt1OBscrTuaB2TtRoH1fCKA2CwGvGRh6EEELI4wT+sSaEEEL2nINwgz/zGU/FV9/6ouKO0T2fjz78/PX/HTIlXJYwgHYtlcSDkQSQBctN3bjKAtd5TyAhFPbwMEQoeokZQJXQ57iWju/V8Wd63MZtbSVdBbKuDaojVybhRiesnD+fc6kDVc9xCQVU8z8v4ZKBrljm8w2sn0en9CmV3Kjd9gF6HPl/c86oOix5ohZG73F5UrXL3ErQKs+CjL9FktMQ8riowwHOO2SV4NdJesu8D8x3R6cjXYQOUcg53rokfwJGFz8nJNK4kGHcT6Pjm1t6Jj+PuIqNcERPDMWS0G06MKq51nO6+x7ZSZVAWgmuSmDHumYj0LImhBBC9pyDsKw1TcIJUFY8KdlIobd6CgQCGus4kA4VyqrVk/FEYC0YCSva2tSCD5aspmdtrsQEilRovySpSSDTXgolCANU9y8hiKGlH7XVWc/ITVrSvzfwSqCs0rDXv+ImAMAd9x597lkrq3E98QzDgrTum4tjGVlnuiURxvNolJ7JltWTKI/yhIJMOV/du3wXwQ1JQLV+5ySAWha3e66Jd0cZ13gedXOb8m4KLGuvBLLI6yb62xcyyWPqd1bS7otUAqTMxXrPeIQli3pOwTj6u928q4Jkw+a9YGxbrPEdoWVNCCGE7DkHIYryhKuvm8/d/K3Naq9e1Yu101g5glWKo1e2nnAFjJR+zyqvx3FWqVG7ON06UFuWQLsyzLR+G2l24HkarLIgrw1oJEigS+MyAiquOId13cvkErKmvXuUae8YPUcbngHPMn11XU7jCMl4UrSrc9kQ4y3HCbwsWjDIPW597I40bH0uKUnVHoHV7z2X5Tys8kbnmlrfPXefiqaN7oiMr+DIvdafWedkzrE6F3nHvueRjwBoW4rW422SKO2cTzjPAbErobzTKy+s96yZXhzKjRJCCCGPLw4rZh2sGG9/YxyvLEMYlqpenVmrwPveaccRm1gbjBW5zp60mp4vx9TtBTPZ61oKVbISo1VgJFHaxLgkfmNYuUWEwFmRHmdiGpa9cz0yDeWtuTTXXd1XLytUj1PP1xKsaBoERGM5Vn3K06GszVQexrLPUNw7oLEoJD8iyqRV+5rNYpQ4jFwN69671QJaGCZB5BnQx4lyIPQze+zZU/vW+8s9CcSRZD/5XkWx6kLwXvTG955dS9hH5qKb9oTeLXVumyxqPaaaV42O9dfoc5Z7Jt4pM+9iQd+jsHHQhsYyNbSsCSGEkD3nMGLWT37WfO6zvsqNbwEJib1EY4MoTqlX0Hfc+4A7X72S87I1pVYVaFeE0Uqxl60atUf0YmKrulNlWY/UkGfmr88jjM95VsOyzeoaVjW/gF8nnmp3Z+HUvjf5EokGM6YcaEcCMmrk0WuXan2WyqIOZEBXn8P//phtKZ1YbFTN0cuHSLXVVHOqcZ+TQKo4k6PRbXu5Y9MVr+1qVGPv1YlHTVFScr4DOQ7dczRq4rXlG8XC5d3QbeMbffcTTWii5j8axqwJIYSQMwz/WBNCCCF7zmG5wYVEz1jtvtPlNqt9HDeIOf6yrde/2RxXzUGSyFYJN15SiOEq83pqazekKUDQ6b5V47l5zM5lC9otFXW40USlJiO9aHtuKSv8MFIK0nUJV593BXcCl3x4HslwT+RCHOrXvMF1G7pje3PIlOJs6HKkZWUBP2Eq09vc63NfU8I8mXIgPf4O5xiFlbLlpYBf3mXhzndHV78eR187Oecbn/NJZVPrPQvEz7J3T6L32EhZGt3ghBBCyBnmIEq3nvrMZ+D5r7qlSZ6x0CsgWSFqKxRAt6jdlGxcVl66f7MlIqDnqUt+6lW+Z8VayWmlRKbX0CPoZ61LZiJxDr0SPW+UzDSrbynDWlabkZUfWe4ekYSinq9+JlbJgbrphPq8vkeyan/wEccCM+6H3ua8tt4sj4y6ziOCNl4/4a3o0rswqatTomg+Y3r+ieYWetzGct2ItkSbhjb1HNQ9ESuuSZasPmv6lGdKrDIo6zi8507SnD6a9T6zfufNpZFlHmkulBAb0WWYcu/ro7iiNpFcaqefuPVu2vW5E2hZE0IIIXvOYcWsoxWXE6sr1vhILHLBjOOqcSzJOs9SzMg9eqU+NZ4cohcb845VY1p4ZeBAWlWP45SVWZa1dX3N41tkBAic+JwZc3fK7KJnQJeyWPFQ7Q1q8g0GxFFS5WWJfXaSfrzM7BKrHXneT+yYu7CjiMaJjJtpRHKS8xsZ1zqPDdds0/3dICWagTFrQggh5AxzGJa108jDJBDU14xkYDeykVF2bCcr1rJsugIeCatKxpXY6ipO5GQNRyIIGRnDbtu/jOWrMfbpSYnW9DKwI8u6yXkw4lmecEfoeXCyb82sW6+pReBJ6npzjGMTQq4stKwJIYSQM8xhW9YjtZhRnZ+KyVrZlFaWpzlWfSzPGl/IxKPDRh4D9b4aLfWZyRo2W2862ZNhBmmmdaXediFVX93J6LTG9yxTkRIFjmULhaY6IajbdJ+fwIvgtfQDgmYiifptWtaEnA60rAkhhJAzzGFa1gkrWQjVjpxtLdx484ASlR7LnOdAzLqX1ZtRVbPE+bUakI7NRjFffexMnLsZq6aTexDd10zLwGxTFCDwegTZ8lvuq94mqj12Y9XGOe9zFjghjwdoWRNCCCFnGP6xJoQQQvacg3CDn3v29fO1t7yp/Bw1NtAiJU2Cj9HjWdAuxLAJgqDENIBWTrMRTkn0U3bLj+r5Oq7mqCGGK81olZ6NCI+oeQuWQIvudX3SpWFRuZ5mi3BNwXF/W27+XjOH1bFHSDZmAAZlIxe8UrZM795QTCdRytab55bzCYU2ZFznmcu8D0buvUmib3iXxHUfeXe4v4vKVjN9rZPntHq36ndo4jqlGsqo/d3k1B0bktANTgghhJxhDqKRx2N//JidMFPJO8rqUQT1tRj/pQvGPmqlq1dR9xur72a1uny+apqh6JbZoF15aovamncRs9erv2Usy2oT4fuMBeauRIPVZSPXbyRqSRMUOScpgTJL2bS1GlxDL4FKHyds5rJgNudwrIXIYpJjnT9/i7lNXRp2u9egIpB3PfZSLB8EFvZIoxRBkgzvV9+ncl+r59JrtGMltHlJepZ1HAnVjFL2DZIky+w9cZoa/TwqD9ZqP+dZk3sIBPcxg9pW37saz2LUjVvquZTGMhnvU6Ys00N5neq2o/r+yTyb74Exr24L1Ap9jtYzN1QimoCWNSGEELLnHETM+unPvWF+/mve0qxsrbIajax6rFZtbllXYDmeSPwjETfTY5jzc+ZkrgK9GGOmqYi6tpnG9HrFqwVFVuMGce8wtq627bZQNayVbsOXRH5BWPKnVt/yHApR68CmXWoliiLWhpeDYD2nW+LN3ee+GkM/L2++67UAqnayFXUcEog9U2X+ve9eInZoxsSjGCzs90TjrUm8D3plgiu2CNck7ln3nZdoLhQ+E05JqPYW1b/rnY/lIXzoHd8DALjhNvXcZ3JAgji3+66Oxh8QG2LMmhBCCDnDnKplPU3TWwD85wA+OM/zTctnnwzgfwNwHYCHAXzVPM+h1qVkg6faXGoSsZOM1dAT2ohiGlusZj1ebZFJXF63ZszEYqL5likoCdJ6NVwfdzVepsGJOnZm20LH6qnxrFmdpV/vP5Ilrxt56Fi5JUaT8VLIHG594bUAgPc88pHVcUYsYW35AcfxccvS3WVcwXve9DUG/CqHSACmkJlLJ35o5bv0GsBkvCx6jiaZ99cGy9qNrW9ogGT+To9nnEepfFEtZiPBo96cLO9Z2US9q+rjRN9Ld06dOZo5GgMW9j5b1j8E4CXqs78P4Ofneb4ewM8vPxNCCCGPW049Zj1N03UAfrKyrH8FwBfP83xpmqZrAPzreZ4/KxrjCU9+1nzus77q+INMW8SF0MpMruxM1L5hLaDMJYiHhO0VsXs2oreqTF2fRKMTPafo2nmSraE0rMeAXKeVXb3JEnAqA7bUtYZ5CwPWWcmGXazmjNzrpuucyJD2vBWRNautFMvjoJ+XVEtSPbfIcne+05IfUO/TPFMJj4wXx61xvz+JZ8GV8Q0kefXzL1j3ShPK6zrZ1EN11lFuz0BTJ/c4A7LVoVbAAPtsWVs8e57nSwCw/P9ZpzwfQggh5FQ5s3XW0zTdBuA2AMBVTz3dyRBCCCGXkYNwg+sEM8vF10sOsVx/epxGFrSmk+BkJYB5ZR2RG7JJRNpQWlXIlKANdCOz3MhDHbS8OSS29cpHTKlDmVtGXKRXXhfMqeDJyiKQMV0wy9Q6Lu56G/386SS6zPgjJU+pHtuyT/CcS1mXINKzQqrbmWzb+x7Uc0qUtHmJSXWCnP5u98JYqzl0nglzm4iBhNt06VYieSzlRnbew+Yc9Fytcq9OmDBKMBtJlGvGNe7VUCnkwllzg/8EgK9d/v21AH78FOdCCCGEnDqnXbp1L4AvBvBMAL8N4NsA/AsAPwbguQB+E8DL53n+D9E4TT9rwVjlaMIkLCdpRghXyRsaJ2hhFrMvtOwbNbDorOCG5BEzSRwDSVxyfUt5k0rcqrfR45rJLh2rwRRF0eVSiWYo5XDLKr708t4i1mEcx01WigRatMenmovXxMI7H2BjSU8ZyEkUsgQlnHmbYjqJ59ET/ck0dfEwn0c1h9AC7jWSGBE6CbxDKTqSubXXr1cGmBGN0Z6MMBnN8XYB+QRHc/yE59QTiSnHV8JNQOvhESzvVuZ7r4ks61ONWc/z/ArnV//ZFZ0IIYQQssecesz6JCilW5GourfqDmK0Q5KBA2VYvZiUWByl6Qh8QZNQUEIfz2v3iOBcg9jvSEy5S9BwI2pp6cUnR2QeH7rraJ8Xf+cvHE3FuJa6iYjZ9EPhek4SngErxum1d43kRj3rMorjbmk8MNJMIxWf78UeA/Gi1PE6Vuwm2chEDkgZM4iJd9u+Gvts8RpYluMd9z5gHzshIapjyOZ3sHftNnhzovJGr3lPPV83x2F5Bs3vVaIsNlWOqThrMWtCCCGEVByUZR3GCDpxm11Xr71m5Fbcw7MSRkRMwnN14jZi4dWt5brNSgZkBjOCCRnJU2/bLZ4TwL+uOn5uMiBj6l2XKHs1Y025GN4PNzPXkUQ1x0lYOaUZh36mE/OPsoc970rqO+HE50csPKsda696Y3UslZuhPR2mFyFTeZCp1nDISP66Xr8NOTiCliMGco1lslZ2KB6zYD3v+r7pqhDrWfbeL1YeUK+KwIKWNSGEEHKGOQjLWlpkCpa10o29RHW5CSvTW9VHtZJ69R61+NRNM7y49Oqc1DgpK0VZ4Zka5DKHILbszc0kKdu5mpfTvGHX9n/uNpGkbadtZ2jtZ1ruqXFTUo0jz/BIHPQE47g1bn1ycP1PIgu8jGVkJY9I8nZrpRPPwFAr2wwb6oh3ylBX+gKAnfkPbDuvjDWrzzHM7B6ohOnlPtUccp01IYQQQioOwrKWOmudRW2JqkuM7Z53fWA1hlkTmFAJ06SsEy9+qGKmqSxoS4nKqxvu1BWuxlX7WBZepsWka/FGsbZO7fQmj0mCjKWXsgqdeyPPU93UxWoCUe+balKgf2/M80QaJ3jHqvdNNNFw4/OJ74r5PHqWtHP9M2y5R1GdeKiipuapvUIjql4W3ndiRKUwuv4eW2LuW+qsd/aGdrx9Ge9WtB8ta0IIIeRxAv9YE0IIIXvOQbjBSyOPjLvBcSVabpmejGEonLBgueC0K97r2/z6V9xU9hGxAjfZxZLR0wyI5kfju8l0WxKTDHRyTiRSIKUYbhKdkfRTzslzfwUus0jwoZvgFLmxPffxSCJY0EQg5ZI7KWGK6nMrPDM0F02wbbdsbOC5zIRayu8TiZr6Wa5prkvQkGgXMZQyRsb9rcbVYaxV+WGvUVDi+2Q20+icW+adXT4PkgCFrsQtjhPUGvGY4P6mQn8LdIMTQgghZ5iDsKybRh4bGktEyVZNIpXVIlONL2hRhNQ4mfKUoMzDsyzClnA9QYaMtyI65gb5SC+ZxfIi6OQcbQEDudV2w0jimlN2FYkiDLUxNURngHjl3jSfiZImtyRkJRp46LlkLGwtthI9Rz152hG50TDpciDxUbxipTwokdS503dvh1KujIcwovZ0AYa4UJQAppJsQ6EmjeW9Uc939M7rlddFjU48L4gF5UYJIYSQxwkHYVlLzDoiFJevMcQKGmEQS1ZTrdxktWmWfTiShrp8TNowAq0V3pR5RDHrEfGDTHlXp1xqpKwmkijtSfuthk007ui1SU2VSzmiMea8ndijaQloEpZNtLpvnndnLqFsasSWZ0xt23gVIss3EqXZENvciYwUr7NPSkBlZJyRc+rkF9T0PGIhwfgjcrQ7xeN7753qM8/LGnpAR67hQMkgLWtCCCHkDHMQlrVukamtzppuZudIY4koCzEhItCTF4zmcuHOlwEAbn75t7S/7GTH6laL1raZWHLBi+sG42RyBlLeEMeiC6UaFc31COLRUfMJTRhrV+PqY5aYrdXMPiFNWoZ3mhNYnJjlSQjZBC1rQggh5AzzxNOewOUglDhUVmDYqEJQ1pvsc+nC8SYlviHWWxRbcqwxPRerkYdw82vftvrZkuk7v+yvrf373nlNd/zSmF5l5dbjpGphl/PXkqraOrSsXm3lW3E0r3HHSD2xXI/m9/X+y/8ffGSdZxDJsGa8LOWeq3nqOs7VeHpu8nvjd+UZda6zZWmfeIyXELIztKwJIYSQPYd/rAkhhJA956Dc4DpJKupd2sjcLVjlWNqtaaXiS6cvrw+02U1GuZH1uLVr1C1zCRKcemUXq+M5yUrveeQj7Y76mMrFGgkEZPrY6ust1+vSw30Jy2iuTcKX/H+gdOvWF157dNzj9unNvI/DJHYCYSTVqMc4f74taRtJSOx2XKr28bq/EUJOH1rWhBBCyJ5zGKVbIje6A2Ei2A6SkxaeYEqmjExL4JUxrL7EnvzlQDmWKYc5IDHZux5WGVmviUB0XQRzTslevJGATeSt6ApVJJpEZJpSeL+LytV0cxgtg1kfu7BFwtIbKxov0eAk1QzlJBiZd2acnrhL9nfe/E5ibhmBmR1EacJxvN9nxh0ReVpICTZl5pQRmNlwb1i6RQghhJxhDiNm/egfARff28h0rmJvnRX6Jb0dKmtq+bkpzamm0JPGrC3Tu+/BaptG3m6Z9yrO7Qh6WK3ZSqxbnWtjiUVx9OX/Ys1asfymNGxD4xHzXNUYjUVtrFjLPtoLUm2jPRpl32XcYuU/3K6OLy7zDduketdhGcNrr7ear4rTr1Clg5Ecotca8/bblBcnaJO6hVT7yAXd2COSpWzi6QPPWiFj6VjtRjsSrWEzoA1SpOcTbVKHPA2OBWpKczrjybvwRi0KZMxfCAWmtuyTwbkOpmfMs76j++15z6zzOYF2pjW0rAkhhJA95zBi1kpuNEOz0oqEPhKi7YLXFrHGbFxQHccVo4cdlwRUGzfDWrXGs6xCLzYbxXpS8q7CQEMMVwg/IcZvNUspHhdtiXpj1McasJB6UrNmfoEew/p9Zy5WMxTt4dH3yMpM3yKKkrGoG0ta2KFhQ32s6HuTPk4gXKM9PFFeQdOkJ/OecUhJ5ybOzbs+YYvMoIVlMxfnWY4a14StJbPPX/DOdp+5apvu8x7ErLfkAUUwZk0IIYScYQ4jZn3uyUermKCFYlTDDCDO1E2gLVK9Gq6P36z2nNWrVU9c5qZWwHcbK7uRpiL6ONE22qLQnoJ6X31dPAuvPj/ZXyzh+xMZ0h71ccq/9fWIVta9zPpoLjofQo8JJ9se1XWrn1NnZS7zr6/hccOR965+VxrALHK1pszrBou6idsa1o5c/0aLYCAzOoyzyjYbnhPBqk7wrM0mHl3No/keJaw4zxNWbyvPyy5x0BJ/Xr5flrWsn/vnPecpACo55YHKj/o7qO+f18o1RcI7Ied4MbCAPW9cZk5Dz9iOlQy0rAkhhJA9h3+sCSGEkD3nIBLMzj37+vnaW95UfrZKKawSJyApcqGSr7b0V7Y6XPVcPmbpVqZPtuOaGeqvrPYZ2VaEN4CqH7OXbBGV4DjnHG6rx6+3dVyQTWexwMXXFT6B46rtzM0lOGchkmzVNMlYRjJd07N7cH5AkBxY7zOQUOn1ZAeOXdbavRv2Jx+gJ9lqdu5z3PfWtvqZyogvpQSahN53Okqq7YQjgMCVrZ4n4FiW2dt2k1vfKCttsJLdgiRac24I7lXwN2fk3JhgRgghhJxhDiLB7LEP/eHKQigCCoZYhC5PaahWPzqB5GIiccUrITKbZnhSlhkRhATaKtEegroft056aywjq3xBz9Nq/uF5ACIrX/ev1idW3yP9mW5wUm+rRUuW34lFXa5XYKF6Y9SfeRZLuQaR3Kg6bv2s6WtYRFGsVb0uxVP3UeYo3xXg+PtiJhx5OIlTRUTGsMB0c5tMMxdBzqf+buvvj/xG38+UBSZjVtvqxDgZrzSYuWDsoyywqM+6FmTyhJVqmu9pZLWp3+n3WiapNhLt0T3T9XderOkI67vXJXq3apS4kUXjEQj+jnhzuZzQsiaEEEL2nIOIWXuiKKkyrChuNmLN9orlIyGPjhVkHmchivdJrEhWtkMCMEFM3GsvuiWmbMVOu+IZ1XFEwlNi45FUoM5b0NfDlIvUAhiZOJT2mOj7mbAgh2LjQRlQGJdUc2nyOTrWZz1u5ly7zQ+sbZ35ZqR4R0pwhuaSaPgwkkuRemd4427JfxgQeRJ0HoMZm+0d1zr2lm0T8/WuU+1J0o2UhEhIpdvQx/puD8SuGbMmhBBCzjAHEbNu8MQoqt8VcY7AghlpSuBaopbYiop59TJqa3RsSqxcy7qQWIsc+1jwAe2cxILUq8EoTu9YVWY+gOcRMOKtks2LhKehZHB7x6vOUY7RyKKqcev7LJnipfmGnkMQy9dxW+t+6/s3kqkb5U6kLXVDyGPEWpNxLalZPf5xIxUnm30g7lefhxf7LpHGHbPBPRGdaE5y9Rs53aChRBRLLuPq50TPMYPnDal+p+dQ8hh0XN3YJ/RUefPdUTCkOY6+Tsu4Iu4CHAu86Hk2+QDVvdL5C7/wD14MAHjxd/7C0QZRY5wdz42WNSGEELLnHIZlvciN6lWUZTk2NbWaapXYa4NmStc17RZVFmiFl0ErZGKGjYSmMV+hrI6NlXyvNtgU+5d5Lv83pTNlFe/IajYZ1ADuvrCekzWHMhfPujTG7WUYl2tZXTf9nERNS6CsKO0RsK6Bm2dqWBplf/kgU3/uWOFRA4XzUY203lbV2HrNTACjvWUmX2RBn3tUL6vHN2OQW6wc5a3R3wMrjn68jf/9cisxophpJp9AcCzf+63np5enk9nH+O55c2pazo7EwvXxAVx46xsAAK/8gfvNca32tB5y/a2afpn3Dbf9yOrnGi0fvWsLWlrWhBBCyJ5zEJb1VU+6ar2ysVZ2y2e6prb82lrNOitSXRdZI+Nm1JNKvHKxJKN4oo5fN+36AktJ0LHBSAVKLBgr81t7BCJLwFPDahSAqt/1GjHUbR2LZefsE9XWlgYYKtYeqc1dVNZzbWFra0rfk9JUwLDAjuO5R6vwJiZpzDPKJ9CflQYeL19b2pb3aUsDDE/da7WN8ng1Vr+Rge1pEKy8UJ661rKNlUvh1vMmPFT6e7ulksT0DHgWbzWnRMVvSydfxPydUxceeuCUJ+NGoymKzuu4lBm3cz41P/K+dYMQOceXqu8X0HrJRLfgPjXm6t2l/rZEuTep+uwBaFkTQgghew7/WBNCCCF7zkG4wR/748eO3CfapVJto5PCTLc3EAtWOEkR5meBG6wnfmL11L31hdcCAO551wdW52G5/L2EFT03KeGq0aUJMseVO1n1po7EVoakKx1GXGTanVy7qZuED3VfdY9dwBdSySTP6DEkcc7mRatt5ZxXbmr5f0dgxhpH+lc357FVBEijJS0D0Q4vdGO5ppvviFU6JCy/k/tX+jWjHyLyxqrxyjLNJg5qH+1iNZPHlnsj3/WS3Gjdj6xQizXfTMmfTs6Lyk3Ve1HOrZQu1tfNeU9uCb1YYYLG9bxsYyV5aZnUu61zs36u0PO2vk/l/cXSLUIIIeSwOQy50auvm8/d/K2NZbBK4lhW6K51NWBVRAlVIzKRtQUHtElj5riefGFCOlR/Hko26pW1kWDmscnjkJHtHGhnGrUVbOYbJPZ54g3WfdbXypOTra19nahmJa6VeXrJPkEjD6/VYdQoZKTERJ9zERuynmXvmdpF4rNCXw/3u54Zb8P3ydzfeSdZLTKFzPXfItg0Yn3r71Pj7Usk4hUMb6UQWtSd+WZK/iKvnCfmFH1fu21MLclZyo0SQgghjw8Ow7J2GnlYeKVEghWbTYnyb1i96nFOqul8d9VnrAJ7TQ/MEihP2CDTQEXmallzAw0HUlKnMhe1wvXua+2Rkbina1EEsc3SwlI/a8Z1D5u3CCcRUw6kJjPPVpcBi7gpATTaUnrCI7VXyhUIOSEJS9djElhMeh/dbtHy+rmCTcZ7ZosXRN977c3xPgPi3B5PolSIyry8McxtNME+vQY51vy01yMsIXW8W+b8Bp4/WtaEEELIGeYgssFFbjSitFIUURRnRRSJfwjHsTBjleZNoF5dZVaVDk0M6Q5fhMKTXy1ZidU8tNjHS79osQQWq9CyXnSTgiKgYsk6OjFTizKutvaNFa5nkVpWvqYR+19+XsmBevcmyIuQWUp2abGYljae0fwjq+d+fR+9+BngSkCWX3uNN0aJmkJg3ZLQ82aZAiqORS2fl0xe+B4B/RwNSXRWlOe5lyVc/ayvr9VaUu/nSdvW+c3Z95iFV+Fhxc+77WMT3rOoGU23DW4C00ruZJdH10lLmGjvQj2unn/0HRy5RxG0rAkhhJA9Z29j1tM0PQzgQwD+BMDHPD8+UGWDR3SsWSsG5K6IouxVZ2VoWg8d6y+VKZmpB00c122pGEhBesdZWYNBDXZNJL8YxUG97NIo67bZxrFu6/2H4nBKzvXBR/5gtdmuDSX0OZfYeFVjGuUR1J+H7BCzHqmKMC2wQHKzd+wyfqJCIEMmRj2MlTXstUk9aYLcFe87F85pJIeil58TVWKo44X5Lt4YifdlmJs0wgnHrPfdDX7zPM+/e9qTIIQQQk4TusEJIYSQPWef3eAXAfw+gBnAD87zfJe3rbjBQ3dG0hURJbtowQdxPwJtSUaUFNXgFPJb45dtdO9ky93bK+Cv6ZRhWa6mVNlRUlTE7GObcCN5iSpDYQ39+4SLOyyZc7pupc7VO551TCcpDYDbU7tJULL6lJ9QyRMhZIyz6gb/S/M8/9Y0Tc8C8I5pmv7veZ5/UX45TdNtAG4DAHzCJ5/SFAkhhJDLz97+sZ7n+beW/39wmqa3A3gBgF+sfn8XgLsA4Nyzr5+vue6alBXryiFaKf/KstBWyt1WKZGTkBQmozn9cs0+sE3jDj9xrWut1YlamXIgNU6Z3ZamAt6+xmeRZ0BES6SsqS4VAtbNM/S5Wb26NbpELpprI+qvLekgEUd7KYqIRlXu1JSLqFKc6Fpqi1r3E67nedkSmwghm9nLmPU0TU+Zpulp8m8AfxXAA6c7K0IIIeR02MuY9TRNnwHg7cuPTwTwo/M8f4e3fZEbXRiyEAbicxlrsytNiL4gQEZ8vshgiuUVlCRkLMjCQCMTLfxgloQ5cVCvAQQwVrrVbR4wIO05UgoSCUp4jQAs+VH3XkeNAQYEX6Lx9BhN/gNj1oRcUc5czHqe518H8LmnPQ9CCCFkH9hLy3qUlCiKxiuWD8T4o+xboZdpvNqmJyBRWUFNA5JO3Ht1bC/DO4jxZ5pzeK0ra1ERQVv1tSXdjNFpPBJa7gkkfnvHvQ/0x+g9J4blO9L6VDPS6nOk0qDxBFhtUjdkg/c8A+b4HlsalBjH0tfOavM6Qije0plTqinNQCOfTQy8K/SchF6lQ/0797jGOJGnJ507sbWdaVICOdXyNzO/xLZs5EEIIYScYQ7Dsh5okdkTV19ZAroxQLC61PG+EblOb5VmzcVtaF7vl5UvDWQ7veOa2wQeAY+mmb0xr0z837snoaRqp155ZYGpe2U2K3Hm32SdG5UCXntOK27cVDJssfSELftYDMg7es+79ezp+L7n5QJ8T0mqbr53PsY8vetutlZd5h+1yNT306vPrxnJy/G8KqFssiayyp1rqSszAOC+d148GsbRAciMq+dqNvRQ1yVqphO9M/RY2iOosd4dBVrWhBBCyGHDP9aEEELInnMQbvBzz75+vvaWN4Vu3kyCDeC4WL2OVAn3lHZdmvspd45V4uO6Yy03UufcQndypkuTGl/mKy4uq/TJG89yYTXjeV2yqvFTbt5sf9mgC1GYeJcMB1g9sHvXydrfFeCB4fJ35h/NZYsbPJrbSLgkmifgJHc6CXcjXazMZ6PTzctM2PRCIVaS20AooYjbiDs3c69UF7gmtGCFdJznxjqPTEhR6JUU7pxg1klOja6TF7bKYIX1tnRPoxucEEIIOcPsZZ31KOfOPRHnz1/dJn5UK66yEncSJcoq2Sg10SvHsjY0LANP6tNcqcvqW63M7zbG0Ku0Sw/3kxc8S8P6vLHE1PFWiRWqdG3lAVDzLuN3ytXq6x4JvWiKJac+j1a13ZWutfoWec7lR6tXtdyTXjOU1VwdqdnI2rko1sfy83mrlLCT5NZIxqK1hC5lLGstyas+N59AZek97zlPAVBJoaK9R/cHFlJJ3vK+r7uWQHmJcPocgxKlSxfgoz0+KsGyvq9iUQ8JPy3j3ffOa1b7WoJEJdlNXTN5lq3kOnm29DlaCZ1NglbCY+Khn22gff5a75+fcJrxoF546xuOpv3yb1lte/c96+MC1TU8ocY4tKwJIYSQPecgY9apmPJAHNqzBjMSmZEAiVsikCipGCnhcsc1Yj2eDKglWtI0m1AlUM1+STxZUEuERW+rrZ+6zajEwAXvGaiRVbsWNhkpZQtjYR1BDKt8z4zdA7aIjsTQnFV+VKqYoSvkkXkuF8zv04IrCpQYd4jImzMSD+1sU5c1yT1y71nFTsIpyZJRa59y/EhQSZ2r+5zW4ynL12xe1Nm3plcWaD0buqyufL7cj/q9kc0FsbZh6RYhhBBy4ByEZd2IogSWo7vqU3E04HilpTMhmyYaCGJIiZW6Xi1bcqaesMbrX3ETALvYf5OIxoh4hrISJH5rNbcQUh4NZzX/o99wdG90vGi1zy7ZpRvkTC2BEy9mrbPc6230eJEVLojQwz3v+kAzL8+j4UnEWnMYaYTT9eLUnw0cb6emPD0532CM+r6aVl+HSFjDO2Zhw3cwg9ceOJOxH1nU+pnSFmm9j363DUn9ZuhVhwTeD1d4JyMaI4wIzBjQsiaEEELOMIdhWUsjj4TUYST9qMk0JyjbeivEIEblzdeU4ux4BsyMzmVOWmrPyjIt57GccxMjNOYpZBqD6PlH43s131bmeLeZRbTSTdRd65h9GIfzVuq9lp/VuOK1EaxnoNditT5GU7vvxbAtEpaNl7egj1sz1IwmUxvfeR7DZ1kR1VlnGu7oeYfbePuo78gtn3P8jrr5tW+zxw9w47aWJynZWnXXzOaUJ7IjCWs1ztnUXrcXW47yI6JnzMkPibwstKwJIYSQM8xB1FlrzBXMshLS8YiUqpezEkpleC//r+tx9fiCrBBNy1utJsUqbiwbHFteUvdY6leXMaKWjTJ+JutWzzuKgelzlXMUq1+aMNT7lJ/LgT6/+b3bXEFZoYARJ1soVueF9Zg1TazXWoWrFbTXpMCyZGTcpp7YQFvUZZVff6hqgO9zRzum24bVQJ7r5j4sc6qfe7eVaqRMJ/dc6SCY30k5ZzXfUgObsNosvYUmf8CpTljdVz1+YL2VY2m9heU+PFjXJm+waHutKy3fVHmmxDOovH1h69NE5numnaZLVMPvbBtax71tLQ0L9XN5zq3vrfHe2gIta0IIIWTP4R9rQgghZM85jASzTD/rpDB9KBIRuEe8wvpMGdlOWK6mxX2mxTi0+9ts4qBJJFeEYjHLuD0BlUzClnWNm1KQDUIPmQSn7r7wBXfCBBPnGWgaNiDo750QqMgkWEaNcDzcZ8xKuPQEYDIE+0alce5xnHNryncAMxFrNX4kkrRw4c6XAXASxAZK2nYSRXHGGHoPGN8Vtwd78H5zSzo3iLyMYPYR9xqyGO9W79nSjWaA9juWcYMzwYwQQgg5wxyUZe2t8uvPurKgidKQaBVVCBJKusX3xorRkr4DnBVpZzyr1MprSWittLut5BJWbdRyL1XSo+YtbJGcjdov9srHLMGHnoVhtrRU89RCM/W8MhapKym5RSgkOo5n6SWsHk+YaPU7bZ0kkhh1yaIkL460yFyVA/Vah0YeGa98Z8CrYFm+qdabCuvcmn0dL4I+TuTJy0jmljnt8hwm3gvuez/Yf0QmNWKLp4qWNSGEEHKGOYjSrac+8xl4/qtuKZaHtYoqLSWdlb/ZItNZGUnE1IxhJSwLmacWK4mk/bT0adQOVPBW8ZY1rtf5xbpMWEiN1ZNZSS+fS5wxEnKMmpboeGFp5TdguWQsVr3y19YJ0PfamGPJNrq0zSidK+MkrOSmPZ8Qlb1kRSLqc+lY1FFMPCqDK8/D8tlLpZ3mIq9bl/rp8eVavueRjxztK6V5dVvZTulWKH+rLPhUsx7Hc1XjNc+pLTz9nR6K+8txRgSh5HlZyhrlWtQeH7c5UsKLsGX+ZfzIQ+i0ErbyafTzd+PyrN0fiMZ4paL191j2+4V/8GIAwA1fupuQDC1rQgghZM85jJj1Ijcatn5zso+bVbJV7J+xOJy4drSK9VoEeuId1nxNPAs9iLV58qWW1Vk3OwFyMo76+t/6wmsBtF4Fa95ePH01v0Qb0F4c9HjQflxLz3U1Ts/ytc61I1cL+DKjkYXhVQJY4w8JU8hxtJRl0Ha01+hkRK7W/D6dRDzUGL80yxFxIW9uxjjetqaFtxDl3mi2nJuer5XFrq+dW+2C9lmLcliGGrNkOaFKGy9Ob+WwNCIxmZa5ie8XY9aEEELIGeYwLGups9YEDRPcjN2gblbHmcLaYCFYdbtNFjJEq+NelrkxJ0/sP6pr9bYJW0z2mlHUDKySuxYqfAsuY9ltagHpnKtZ15qIb3tWiXUtZeWv25aGWdUbal3dRifRuQpBzF0/U2ZzG8HzGG2oQbbkbzU9jxjQXsv6+wk41Q8LXUsVxjObOdcgvtrMe8F7X4bNjPTxovGizzvnZL5DOs0/Vmj9hgEPYZmD0nmoc1mGtB8WaFkTQgghZxj+sSaEEEL2nMNwg3v9rDNkEnqc7knWftpVablqPDeyK9kI302dOifFiACM3secZyIxyHVrRq6nxFya66zu1coN67jytgh6mHPpuNdDd7sXqggS7/Tnde9oua5e0mIk6hIlOBaczlPeWNa8C4mwTCT+YUqEVnM0r1vHXZpJjNP3KApv6ONGLmgvCXa1rffcB7jJgFECWEKaNyxNRDJEJ1jJYiN0EvsyRCVn3ru7HN5ygw8k09ENTgghhJxhDsKyfvpzb5if/5q3jAmnZ5o5dKwdq4RI2EVoP0xecsaL+sv2koBW4yQSqbyEstQKMnEtPQvJlC90pCZTso5eslvUnCOwvj35zEzyWzleRibVSeQZacgQJnUNlJr0khjDxjgnzQ6JZVeMk5pjJpF1A0MevB6Z99gu12PXa3kS9+KEnzla1oQQQsgZ5rAs66AMxipVsT634lqRIIDethCtuJxmFmGqfycWU6+Ivdh3VC7Va/9neRy80rZMI4zM9bEkGYGxshezmUunxWRG6CQjhDEkjOPEgKOWfmGM3Xkeo1KToYYshJATh5Y1IYQQcoY5iEYejz76MVy8+PuN5WhZyS9VYhFaeGBlySyWkNVUoR6z/l3U1KJs2mS2OjFgy7LRsouGddjEaR3rc7XPhtivjmfdqGRI6230uRQLMrDe3GzY6ny0WMbxnKz47lc0+wPt9TCzQLUXIRBkqNsHAsfPUSgfKddBnj/VNMYkkN4872R235+wxsu50rImZG+gZU0IIYTsOQcRsy511kIglu/VQVvWTq+GN5TVXLAyrx+662i8G25TGbtRzaG3TbStt2+QPezVYtbNO7SnYYtEZipbW7ZVdcT3vfOiu22q5d5AnbVX22w2qO/VeG7I8s/U9lvbdiVUg3ONapoJIZcPxqwJIYSQM0zKsp6m6QkAPhfApwH4KID3z/P825d5bmmkkUevXZ9Jwupx65ID5R8rVl3m1bHYUzXfctwdMozNpvaJWLXXsjLKMPbUn6ImFK662RYLsiLVRETtP1K3XebmXNPV9XHaI26qWQ+20dn4ZvOJkfpqPYcF3UCkJtM8xx1/IH4uOQPigTFbHfaub/SMOe06R+7r5vrzoE4+vc9A9UOvmRHgVzukqlpGKho0GQ/nhgYnkXKl10Yz5YXasUVmmGA2TdOfBfDfA/gSAP8OwO8A+HgAnzlN0x8B+EEAPzzP85/2Z0oIIYSQLfSywd8A4M0Avn5WJvg0Tc8C8EoAtwL44cszPUIIIYSEf6zneX5F8LsPAvgfT3pCl52OW8RyX7vuuwDPnbQaN+P+XhDXnrgXPcGTo2Ov93dFOQb6RNfoEjMZ3+w5vJyT5zyW86iPU/Z33EaRrGboRl7G67ljVy5K7doOhPz1OeryvVLGVt0f7XKLegL3GiZE91O7Pq0QwFB4QFDX58FHjMS7hW5JWKbncCBM5IVP5HrXz82lC84YVm/j5bo3JZXq2V5dY3Uu5XfL55GcrN7nzd/8peUz6bOdCvEpPJd5fT9KqEaFtsp3fbmv9fvGcw2//hU3AQBuf2P1S08u2XrP9FzY1rul805bJR3r96I6xyhsJb8roZVMA5hdpFuRrLOepunjALwUwHX1PvM8/6Odjk4IIYSQLtkEs58C8B8BvA9AiU/P8/wPL9/U8kiCWcZC9VY5URu6nqQlECRSGXjbyAr69je+Y30eFc3KP2oo4Vi8kbXcJNNZZXCO5WVdW205ZpIAPZnOoUYYhrxstgXhqtWkWHKOh8QS3mnaUjpJdTVuC8uBNqaZRJ6opZ9rUW9I0okawAiR1G/PGokStNxGM5kWmfp8rG114mailaXXBjeaZ6qlaoaO1Kwl7DOSlFbOI1MOq8/lBJpoRCWoI/LGXmlrlIjbfB49Y5czwaziOfM8/yfJbQkhhBBygmT/WP/0NE1/dZ7nn72ss9nIU5/5DDz/VbccWyfyC2sFIytCtcoxV5nKOhHL9z2PfATAujylsYr1HBLxYdm3rGaNbbx4br2q1/HCu++w57CyIEWOcvlZx+fM1bdC4lx1PFBba02s17g+Opav432WBdnEyyWeZWyrr0+z2q+ui95Xr9RXFoaK4V+jYp0wrBFtCTRx4xGBltqK1QIn6p5Z0qpuiVKEY5VY56znHXl8PMlcr+FMjde0Z0tpFGC8T5QUrGlRq2e2KfGp7mvTAEeOE5yrGVt38HMd/PJSz8Omz6feRq5D2BDGsy63tJpctr1Yn1/nnRE2PFLj3m/s06DeC7XX7OKW71NA9o/1uwC8fam3fgzABGCe5/npOx2dEEIIIV2yf6y/F8AXAnifLuHaBz78oY92M1hdacmFZgVp7NPEkmtrUMWHRZDBso69eLZeAUfF/tr6DmObTvbq3dU++lxTsSVlqevMSAt9nCjL18u8Xs1smdfd9xz9qK3MVWxTXSNZBX/Hl98AALj5tW9z592cf2C5lx+1t6ZsezwnLwPbsiDFE3K3zsY3YqYl8/zC+jg6u3fneKg+D8lqT+wjVqEV7/Oa2VhZ+CPbbiIjA4y1tenmVxj7Nta2stas+Ly8XxoBDwPZp56fO0flfTK/c53jNM+WlTvk5X5EuQKa4D3TxJvNLPw22xtA49FY7SPxbJ2XIla+kYuQaVqUISs3+u8APLCPf6gJIYSQQyebDf5DAD4DwE8DeFQ+35fSrWf9uZvmr/7utzbxSjPe52UHJmJiW5pElH2N1dnoGKtxAtlRzyqOMox1tmrkqehl6oaZ470mGgiyqa1jOa0gy1yjeKKaUyGSeQ1kUhsc+VFrLjp+m8lEtbLKBa+Gf6SBinceFt64GTnclOSk+n6u8i2cxjJRfsFQzauTGZ2p/GjOY8FqMjTy3I9Itva8ijWNpyvxffXeRWH1hvPdMO+rZuC5iapR9HdPcpCG3n1Opn09vp5TxElkg19c/nvS8h8hhBBCrhCpP9anUU89TdNLALwJwMcBuHue5++60nMghBBC9oGsG/wLALwOwKdjrWB2WWqvF8W0/wfAlwJ4BMAvAXjFPM+mf+Lpz71hfv5r3mImiQm9JJNUh5gdiIRIXJfWxu5SlkweYHTdsiQnHbey5bZzhROMa1hK2267056/Qcp9t6XkY9nnwp0vA3CcWGZel567MXCZN9cyIQDjlsx4x0QndNMRkkmFfQZKnuSavvIHjtyo9TN443M+CUDrYn3zXa8FcCylCVTJdDq0pY5Xn4MXHhjqy224zJvvkU6+8krF0LrbU4IhG8IyET2RnhFSXeG0qEj1fXLfYzvMxcJ7t4rLG6jc3gNCKvpaRl23XHGe4NqdhBv8RwC8BkrB7DLyAgC/Os/zrwPANE3/DMBfAzAgWkwIIYQcBlnL+n+f5/kvX4H5yPH+CwAvmef51cvPtwL4i/M8f1O1zW0AbgOAc1c/+3l/6R++fagYv0kQMqxZrzGAldijhTCKZaDKU4BgVZlIGjObZahttVXiySKGvaq9ntvGPCOyQhsjyXQ1XomGSUfkIErc8nqBm6VhHSt2S09s4Pi+ikXgWarmHBKJlJsaDXS8K9H8w+fRsSCjJL2eNGZKbnTg2c54QbZYa9F3JVOq5ZGy9HqNMKxEKkci15prdw4jpVsBmeuenks0D0+UqdpvpEf9SVjW3zZN090Afh7rbPB/ntx/lMn4bLWqmOf5LgB3AUdu8Ms0D0IIIeTUyVrW/yuAPw/g/Th2g8/zPL/qskxqmr4QwLfP8/xly8/fvBzwjdb2pZHHQlie0imnifbJlFb0UvsBXwAj0x6xWcVGc9ilxMQrg6mP0xG1X/2u03zC2sezIqzSMKvUCQAuvPUN5d8SRxXcMrVgJR3FHL0cgSim6pWcZcqYep6CetxMc4tuC06LxHOit/XOQ2LXwLGkb1SOKfSkMUcsNOt75T1b+rstno4aES+JYptujDdh0W1qv+jIKANVTonzjIl3RM4LaL9HmRwWOddbX3jt+rgDpLwMnYYk5rhBTo+ciy5xO6k2mCdhWX/uPM+fs9MsxvglANdP03QewAcAfA2AV17B4xNCCCF7Q1obfJqmG71s7JNmnuePTdP0TQB+BkelW2+Z5/n97g7nnny0glJNOWpLp2TvqVWTbFPif1b8RiT41MrRyizMSG4eT0pJVjryoMCx3F/KmlUr2uMGG3mRgqaZgLGPJxlaCxvch/V89fyt8ykNAZw4tLWSFtF8bQHU1rS2Kt2s9tXA63sTeVU86zi67mGTEvVz4wXS8ppBTNZrD1rPKZMj4OGeh+UdcrKd62xwfa/OG7FSQYuKaOHakZhhoZ6jeMWceL/MKcoIzghtyDuokaW05DoTDU2a/cVKVlbmqvmQl9sj5/ZFR991690qNF5FwxMm491/Yf2OHfGCWM+CVwlwvvJsavR3OVM1UzdxWhFV8FyhRh5/GcDXTtN0EUcx6wlHbvDL1jZznuefArCbT4EQQgg5ALJ/rF9yWWdxUmjrx1hJS2MDbb3p1XiNjkdYjTB68qVmraEzfiRlKSvaSw/7K1EtHF9W7BmLSZ1HpkHIg4/caP9s7C8/S3yyaSmK1krr1dECbZzv7uU+i9UPHDfA8OK4ZuMEbY04dbNA2160jKE+j+KWmtX8F8+FxBjvkPEDi7iRkVUZ2CsLSc87Ywk4FpgVTyzXMlGfLOO+1KnIqM/V/b5o79AI1fj62fJa8FreLZ3HcN6Ib8t9vU+No70hQOvZGbGwdb6FGYtX3kTtKWw8iAiev+X61J6Ccq+cZ2v1vHfaf1rNP5oqjeCd15NuNr0hznjWe7I8uyPSvgHhH+tpmp46z/OH53n+jd42JzIbQgghhDT0um79+DRN3ztN01+Zpukp8uE0TZ8xTdPXTdP0MzgrVjchhBByRumWbk3T9BUAbgHwlwBcDeBjAH4FR16bfzrP8/97uSfZ4wlXXzefu/lbm89TEp9CkHQ10rVGJzhZrpxUuZgzFz1G5Kb2SrjM43ZcnpaLz5PKNDvPDHSvKklFTilUndhXl5CYxwsoiXHLPZKfo7IU6xz1sfX8M6Vhnrva2ibT7UyHgjKlJhkhCQ99H6PSMO++ZqR+R6RVex3ZTIJkLrenfCDJ65VYWs+wJ86RElTKnNNAJ6qGqMPVglf6F42fKZNysbqpdQROrM5rXkluJByk3xVWyMJNKgzOa6fSLSZ6EUIIIadLShRl3ymW9UDfXSEjRNJsm1h9p0T+jdUYEAtueKs1PYY1TrS61xZX2cc4Z68kwUz0STQp0TSWaUIm1ZtbdN21nGworZpIjnItr4FGD9raj0RABMtyzFoLGYnPCPf7NCJrGlhInmSjVQ50IqUygQXWE9gY8uTV+zkJZaHHYZcyoKDRRlpgxpAFdWV8jWfMK+Fc7beDwIgnXpQSspLPE9K20bhlLp6ojkFkWfdi1oQQQgg5ZULLepqmnwLwDfM8P3zFZrSBxrJOrNRdqbpMO7pMrCRoaOCRsdz1tiOyo5FVm5E8LXiSpBtaKoYNVJz2iNEqPPKceM1btrTaK1jn6pSCpHITNJEoSkI6tPHIBLkaW2K8GRlTPSc9/8haS3lknOfx9a+4CcCx2MqW86nH13H/EVKyvYl3hmf9pWRePaJnzMtfGJDDtTgJy9o6d6+Mb6SJTujF6bRHrQWhmuck8V7cxbL+IQA/O03T66Zpuqp7JEIIIYScOJls8KcAeD2OSrTuQdXPep7nf3RZZ5fk3LOvn6+95U1uNi5gyCt67cui2Gz0eSIW2zBircmxR+K23so0WPnqbHbdzhDwMyHN+Q80nSi7dAQ8akEJnQ2uSbX/G6gM8JrP13TbdRrXx8tetSRtXW9QYOV7ORXmd4QQcirs2sjjMQAfAXAOwNNQ/bEmhBBCyOWnp2D2EgD/CMBPAPgL8zz/0RWZ1SCP/fFjuPTwpcbijeJm5xMZepEVon9uolhBhrTIRd5+23tX2x4PvM7WrOeZqrP0alEDK1dLbkoDDgvJVC77ay9FHQOTuaiYjs52ruOZXmMAkVg1I4ZBPoHepok3qZ+tLHlvbjWlFjuQi3XnrRqRlPvwTj8r2Wx4L2jZ2OVjT2K1/l1zPELIqdOzrF8H4OVhxytCCCGEXFbCP9bzPH/RlZrISRDFcaVxhGSGulaQkRmpxw2znpUQvoXVvMLaZ6Xq1YtVR7FynZ2ciHs3MfzE+NpStcYrFrsar56LeBTcZiWJrMof/YYjq/PmRMxaW5B332Fkxzox39oz48bjo4YPxWtwydxm9bmav7ao63FL3L9zreR7AQTPJSHk1GGdNSGEELLn8I81IYQQsucclNxoJO8YFd/X+5j9oQfENDI9qXsiDrffdufq96N4ghiReIknUmBey04zlHrbklCmBE68xg81njyqVa6VEmRJSjVa7mQpF2uEWnYVsPHmYs21I2Nqjev2mVaNSQDg1hdeC6Byh+8iaWnhXf8dJTRdgaMTGn+ktPLEj20d/6TnYInRjMxp5BnujXfSz1w0vif0MvIOSciwjkC5UUIIIeQMk6mzPjOIFWSVbrmyiCq5yGoQIOU6ZZ/l95a8o6ysdInPyjKVf6iynfc88pHVGKE1G6z2rfkBcSlON4nOsHy9Up+6dOvuC1jNVydmicCKCH5E8y2JX0GzlaZFaaKsSZ9HXZIn91FbbSmJ0oWRJMbGSjasKtdSN6wGr9RMjlN7fobEVpz5R8l0xdOjBwlKCfU21vXQyaJyzuEz4JASixkQuymei+X/jYcGgadE7rPldRqw2vR7q3n3VWNlBY/M95lmi1DUCJFsstdkJWjQkhKpUtscl0/68zuRBjOgZU0IIYTsPQcVsy5kGlY48dB6xas/y4jB62YIYWtLZ56W1Z+R6RS8pupaxjO14k1IWJbjBg3YmzZxajVbezTcRhKJuFM9zup41jgLUUtCHQ/VzRxSzVzKifkWpL7nVtMIfb2b+1mhLUTvutdEHgAPNyYeXfeMvOtCERBScfSofeGWVp9CN/4Nw5uQISHa4zbySeQtpOKszlws9POor4vpBXG8KtZ7zM3t2RCLt76Dx8JTd652WZUqqt95XiLL25ryGjBmTQghhDy+OAjL+unPvWF+/mve0nweCVZ4q3BL4nOoPZx3vIGGElushtBa8+I3mfEXLGs5RWK+2blY8+5mvAekGsg78y+Wr8imoo2X67jfJmsqyC6NmtCUbTKZ45otmcbO8azflaqHxVoO5+TMxRKWcT0mGxqUWONnrrdH/f3x5uTJ3obVD8KWjOvgPeaeq7GvKe0Lx+J2rlm3+VDNiHdCf1/r/IVMdny0HTqegQ2eHVrWhBBCyBnmILLBP/yhj+L+Cw+2sceKrEynta/OJMw0kG+Ol1nF6rmOrJYjnAYWmfHl3Ou2lDq3VlsNdQayl7WaqRH2mlGsGm2ohiA6br6yYDrtKC2r//UqZiq/szKM5dh3q+ur48erDO2ORb3yaDRHDNANQhIWddlmJMarvnOuFVrN5Z53fWA1Rtie1nkW6mztIksrLNsMXS9BPUfWZz1NgnoOlixtPWaNvjepLPYtmcVe3NuYi3euNZ6nRB/Pmq/Oq0khz0DwvteEVSGKJjek+g6WfJrl+rS5LMY4zAYnhBBCHh/wjzUhhBCy5xxUglmqfESR6uGbSMzwegtHrnnPPa3Lv+p5me5FdR5eQllPEMYaL0z4SFyXbIKTJQ3rHsf4XdjbWVD7SxmHdt9JghhwLNYiYQBXLKKiEbUIRFf0czGUVLRgPi+dJD3TJe/tG+DJxoprVLu8rWNuSdhKJUnKtplneReM59MLOUUiQNrFaoVydjkX911nhB+8klPz3eGUT1olmL33V0qKV2PMX7vmh+SBM8l7TmLlahwvOS+ACWaEEELIGeYgEsweffRjuHjx99s0eithRa3o9Cr20oXql50VUZ38Y4lkAJUVkVidaQtpRBTFkj4t8p/hnuu5eMlXq6Su5VzLyl/OzTpHp6xDxrMsDMBJyFKr/vp3YokWC1slnq1YPtOrbrlOd1fX3RVBCUpYdHKOLuVaWZZqnEyjEI0lVOE18pBzLNK81jM2kACjn28Z/457221dj4macz0X7Z2wLHYveSv0anWwPFVeKZiW8wRa6WOZU/HMGJapfneEibLe99VCXeeMJ8NrWpTaVz+P1bZN4pok5O7g9bCsWhE8KccRz4bxHvMs6fLdMY6lPSaNhDRw4jKrtKwJIYSQPecgYtZFbjSQMYwkJQEnzt1ZvY5I7plxSkcU3opXlikpazOMLzrx3BFxjkj61ItDZ9pdjkhOhnTEaFZzyMg59uYSHC8rd5l5bjJx+ui6ezHp0txi8TykBHgyZIQkRqzBBUt8prutlge27vuWc3PukXU+jeytkt2tSyEbb8oImXhor1QrEvLIyJsmnnPBk3kWMvc5FEXxckkMT5UrmjPwLGdi4fo7F8GYNSGEEHKGOQjL+tyzr5+vveVNoWUn9DL0zJZ+KgajReiBIJMzyAI3JfB66HhK1CBEkxBDyMSo3HOL5FKdVqRu0476mBmZ14Fzk21F7P+Oex9Y7xNl9crnwarelV8ciCuGGd4D9ARgTGtzIHt1S3bvLhUY5rOXzPIP216q41rVCW4Dj8y1VJjtbz2M57HJ1k5Y1ropSqZh0Mgz12SSW7kUijAG3nv+dm2i0akkCTPfFU2ujDVPZoMTQgghh81BWNalzlo3cwhqATPZjanaXWFDzLEbN4+y2TdYnYJ5Xp0GHlYs37Xyq/PSv/My3qM4rnggwtrjjFXoxLoyLfEyTT88qz6Vlew9l/U4Thw0ykHwnnNrrs05DjRViCoZ9Py99rGWtWl5GJrxlYUkFQZbdBfM56fz7rDumRc/t+qXvdim6T3b4P0ox+k15zC21UTeJy9PIvKuRG1e0wS5CJnWwvqcohaovXeHdeyRHBBa1oQQQsgZ5iAsay8bXFsiQBtbjuLbTavDaEXqxU+C1VQvq3q17UDzCW3VlBieNFvfEPt9USBmn8oCHaix9RrdyxhitQCttd00tY+y+zv1lUBCbStYUf/oNxxZeq/8gSPryrI8vHhomDHdaf5hfbbJak7gWmAn1LbTy0K+8NY3lG1ufvm3rHcauT4OVu6Km1mfUc1z4sarY6p7bmbCex61E8ok96zKTA6O64Goxurlu4xgje99b+R5qZ+Vbu7ESIVKImcgsy0ta0IIIeQMwz/WhBBCyJ5zEG5wXboVsqXUZ2GkIcNIUpGbWBa4p7S4Qu0O7rpqM8lvzlxr3NKzKDzQcZlZNK5tI+HGK6szE+M6c6nxkmcicYgm2Wqg/MVLqKrH8VzDKYETp6GHOd8tpVsbRDrCJCOnZCsSgHHd0xuSsQDfPRo1bHGfF4stLu0d3N9eyMX6TCfEjbzXonCbV15X44ZqInGdzvvLvK+eEFQkAOMgYQ6gCjvqfekGJ4QQQg6Tg7as69WarLalrKMpMbHEEBJCGHpbNzEoSm7JlGEpXKk8+G0LoznpFbMeP2rBWQgSeUbEM1xRkWCl65W/1MloPRnKkvxTrYh1uVGEd12iZLFQ3AaOxZFIzGowkucAp/3igGXtSnwGEqhukwgjEcm19jPJYgOJPe4+aO+f5wnLvDtSiXeJ1rXNcUa8IAmJ4kyJZZnDgNCU957c1PpTzRUYbNrizDMUwfFKzwJxmpFzo2VNCCGEnGEOwrIuoig9QfaKnUQcImvTEQqx5AuzcnfW+OEquRerttiyrRPrqemJc6TGj+bWmcuIxGeE9jxcuPNlAIDX/fRDZRtLzGZFILri5lIEDVS88Vdz2JIj0Gu6UuPMNyybTDwDYdxQ7dsVDNqAeY+ExHfFE8+wvCFDXgTNRm+BNUcgH2sf2deyfFP5ChvQsXAhkwvSkCiL9Tx7wLacCVrWhBBCyBnmICzrJzz5WfO5z/qq8nPXAkGcXarR4ij65/pYXqzXtJB6LRsN66FZvUaxJM8aN8RFXBH7REwsjMn0RDmc35vHNrZ1JRojK3fAi+Bdh0jC0ot9Ra3yvGx/KwbnWZJhcwjnnFdWT/DMuvTiwgMyuMPjZPcZsbADwaMmTyQ491SzErVtuoVrb749RqpBMtUzuwiyaHYda8Qrp9iUb5QYdyTbn5Y1IYQQcoY5SMtayMQavBhz/buoLtEbP4opexmdoSSks+KNJAl7NZGZ5u2pusqRcb3rbdWUq2sathT1MjstC8CxEjLXI8zqTUp8Rh4Nfb0ln8HaVh83GteT4k3VyxJCrgi0rAkhhJAzDP9YE0IIIXvO3rnBp2n6dgB/C8DvLB/9g3mew0yXZ/25m+av/u63hn1gvS5SUVKNLt1KlYaMJE4421plBtqFWjqBJWQMR4QUvGJ/s/TMozovt8tQIIixS4exyL3uXe9SOqeeH2CsnMYVqkmI3njJLaE8YnANe8lWco63vvDasskd9z6wHoducEKuKJEb/IlXejJJvm+e5+857UkQQggh+8C+WtYfHvljLaIouqlFRobRE6y3tkkJbCRS+3tlUZbEZU9gPyOKEpa0KasvTHQySo9WBElXMq5YdMXi3tFL4TbcOKGSude/4iYArfUZCT4IqT7oGbGbhcbjYzVk6JTGhX2yaVETciqcxQSzb5qm6d9O0/SWaZquPu3JEEIIIafJqVjW0zT9HIBPNX71OgDvAvC7AGYA/wOAa+Z5fpUxxm0AbgMAfMInP+/jX3JnLCAfxAKt39fbZBp69EQz6jioeACKhdqJXQO+FWVZianifnUebkw2sni3SGT24ujeMa2xnGPWc7JEP8IWexrP8jXEaHoNNsLr02kHWM+hJyUabZNpRhM1iQnnZ2A2WdjhGcu0X+zdsxRRXkGvaU9i3IyATUbcacQLsksTkKHr7+1jzOXE8yMGRHq6jXBGzvWE2LuY9TzPX5LZbpqmfwLgJ50x7gJwFwA84err9suXTwghhJwge5dgNk3TNfM8y1LnKwE80NvnqidddbRKUivd1YpJrfK0FXHpwtGvrUxgideWWHhkhetfLMetrZT71e+OD6iETmphC8dit1bfvbZzptBJRgJSoecp8WK5ltaxM96Kl+rrHWzbrIqV5bKyDvUzoD+PWLbRngzrWbjkWHjR8VwPRN1iUlm8ulnGxYzcaKJV4xYBHM+6vBhY8qHl6zyPUcvScsbqu1K2HZCNtJ6xSNpXjy/vjOc95ykAgHve9YHVpvU19mRMy/fJ8DqV90DvfOrpJdo5Zr//pndx+X/tTQGA+w2Pj2vNZu6Rta3eR+5jZMHrc/D2tSqEOt4z95g7sHd/rAHcOU3T5+HIDf4wgK8/1dkQQgghp8zeZYNvQbLBBd3Ssv5sSCy/ly28ZZ/gd90YirHNllaK2lNQ76/rlPUquf6dt2I04/Md+UtpbQdUGdcdidjVZ3rcAQ9BFNfSdeIjcqOehWe20UvkOmjLq8zttjubuej75uY8RFZbImbteW90dj7QPlNbmt1EXqHeXDY1JqmO6baNDN4DQ+07e/tEJJp9uO+XXfaFcU8GGlcMNS3p7WvsH0lFezkaI1oWujWm1dxpJLfhLGaDE0IIIWSBf6wJIYSQPeeg3OBhD+OFrOxoTZOwNSDxGblfvDllSllcKdQKT3oz6rjk9s3OyIFaOC7KsOtTx5U9Iv5R00sQioRxhKgPeu96RK7EoRBIphe4vs7Kxafd7+a8B0p6vHIv042vfvcdX34DAOB1P/1Qs20jf5v4jjdYz1NPvMi4LkWWdrl2cs5ajKnGc39H18XspLeQ6Y3unpMmUzKnPtfvByAID1jH6dy3EVlj813d62AYlG5l3mvdUMKOZV50gxNCCCFnmIOwrKWftVtSgb7oRGjZJFZGdS9hoF1916tnT5xgyGqLBGASTSc0nmUU9csuBAlaPctaiEqs9PVaJWgpYZnQS+GMO1LSEgqGqPHl2j34yB/44xviLd74XtJVlMDieYNSfcp3ENyw6FkwpghQIsnQLc9JeHw0maYo+jthnXtj+e4i5ZoRxsnu38PzvjnfxdVhHKnflRfB+Y6ZCYkZUR4g5UkVMs1uIglq7/0SJVS6xzOgZU0IIYScYQ7Dsr76uvnczd8aSiv2pBTN8g6vXGREHlEIVlWehKUZJ06UXaRi63rfqDTG20/tY8Wu3NInJ7ZkzXskRh4K2HTuZ3TdXIvdiIEJxbpSZWuWBenGZBOeAYtUboCaS9MIZ6TUaUTaU92/TClhlJvhzWUL0XevzC3RIKhXOrc6Zu/ZMp6BLVKnTUlecL3CVrN6/o7XzDznjiRpXcJZShI9jPeAbncbjS8lolF+zjA75oDQsiaEEELOMAdlWWeaFMjq5sJb3wAAuPm1b1t9bqIlDw3rU1sHbsyqRsuLJrZ15xLFd7xYTBR3XWiEN2DE3IN4eq9hypbmHJG1GeFamZn4f29u1Vy67SijGGSA9mDoOdZtTIUSL9f3OvA+NXMbwXk+gdZyiTxWrjBFwqMxdM8Uaa+UNZetFmqi6kEYarij5jAi6uLlc6Q8b3Jc43n17o1ZiZGVG43yF9Rxovvqyb6a4yeEdzLNojS0rAkhhJAzzEFZ1mFWsuBsM5LlK0S1kvrYYfxcrVIztcLecVbz3EEuNZUdv4O0qvv7iqhWXRiqWXfObUud+xBOjBYI4sMD9ZpD1qAeK5DXTGfjOuOkj5l4DussWz037zkJcxw697G2inpZziONT6zjj7SLbKpORuqst0jxCol3a8Z6dce1PD0dS9SSxe3m/xjXPaOvUPbZcI4j3yda1oQQQsgZ5jAt62Al3c2INJohpLKGPas1irMupCw72daptV3h1EqOrAqHVpADMV8hzLB3Ml7Dhg9OHG41Fye2PnJNvbpowG9MkfEQlDkONHHpfZ4iqgg4Acs6UlcLM5s7SlomTj20G7e3GFHjC3IFGos3sm53yF7fpd7aem56cduoaqawoSrH9FJsiFm7c8qMmdnH8ZI1jYpGj71Ay5oQQgg5w/CPNSGEELLnHIYbfJEbjZKjei7VjMxg5C71xhdCYYCFUADiBNyCOgSQkig13Mla7GOLG1aLpWxyT1kE7uqofzKQdMUlEgd71yMqZ4rcjY1E60D5TCaUs4v7e6Rxgvf8rPbfkvzXY8TdnCmvG0mOisQ/lGCQO4ZxrEzoTPBKuKx5jyRqueGMARf9UM/xiAGRHrdJjB6rohGASgg1sZ81IYQQ8jjhiac9gRPh3JOB85+Ph+46Wjne8KV/D4BdfnH+vF1ukWn8IFirtUtqn2jF65UMhO0FHSsqTM5RxyuJZpkkEbVvbYHdJ/9Yzk1+Y5aieY0BnN/X2+jkDUuWsimr0XOxGoQ456iTXQCgpI3ISl1ZP3VJkVzPS4G4f31+KzzrrfpZewZcacX6WNqbsHwu1u199bYbSpBca8qYizxDD8r1UM9PfW21BVPuZ6L8KGWhevtabRf1dziwqAudd4dIXZrzVNfQsnzPL9djxJvliaKsPJD6/Jc5FG9IYEmWcbQwjvHd1t/PLcmRZumWPI8ypyA5VY7pCZyU7arfN2lky7k238V6/10SCCtoWRNCCCF7zkHGrC1SzTjQKfWRbTKiJSpmupLcU9t4qzIdo6wJGxt0YmuRBbxLfNgsl+q0/0zF5QbkOvU+lnCNV9Jmxq5O+HoAwOtfcVP5t8i4FsnZoASkJxASCXkIXpweOG7kkRLakDk5ZWmW0ITbBjS4xvLdGCq/OmG8Uq1UuY7G8iTp51L9rO8hEMRZA7zGL6FVu4OQivVeG4qFb6BXyhnlGTXvY7m/I3Kmkdxo4hwZsyaEEELOMIdhWYsoyoJlgXRbvQWZf+4YGVnNQATBzS53LLLVtgtD7TQVZvbqgIRo044ykib1yHhDdNw1OE5KPL8j4BG11RRGGjNE9yMjpyl4npZU9YDz8ypbvtPgxMKzjKwchZ6nJMyST+AJbaRaNeqxBvJFoiYUkvVdGuEEcW59rmHexUAjD/08SiXGPe/6QDP+FkEfz2I0319Oln/ogeycV1SR4baeNUi9N51qimj+I5nutKwJIYSQM8xBZINf9aSrcM111xxn4y6fj6zKrVWVjmnqTEMzc1zHTgPLq6zKjKzG7nyDFa9b56h+vmTMf0Ti02vwvlq9drJidc1t5lxXOCvdcj0GYm1lXyNv4X7Hcq8tMCu2WI8RzSXTwtK15oMM7Oa+yryDVodN5nWAtixuDDLUXQ/SMjdrLp4FZlnscv297P5UVvgyt8ia1c+anhtwfO2arG+VAV/Pv7mvhqRt+F7psexz+xvXY5lehBFJZC3BqdubBlUnnvcsQ+QJczO9g/ekG1Ou5qzPrTy7geUu1v2lC/1ziqBlTQghhOw5/GNNCCGE7DkHlWA2IutWCMqZepJ+lgSnuEfChKFEIpnGS+AZSZ4JEx0GEle6JSBGqUNxdztlQXWfXinTacqOEvKI+vMRovtguTr1HN3kv4T8ohZQkTKqWgCmJ2FZz1/Kw8QN21z/IDln1/IZc471uBuSolLbnuS8D5GMZPHIPTrJOURz6Y1Vs2W+veuyq0ztAEwwI4QQQs4wB2FZn3v29fO1t7zJLqFY8KxkbaGKBQLEMo6A3SSiiFss+0YNGTLlBIJXJpUpC8oIVniEHoeR0gTvHAOxAu2dEMxEvEj6ccFNUgqsCX1urmwqnIQX5Kz+VE9tTeDpaZ6PjlUezoEWKyFXBFrWhBBCyBnmIEq3HvvQH+LShZ8qTTrEEqjjoHXsD8BxiYayru7DVzTbNEIPi2VnFRvpEiTL4pX9RTChESdIWIll/MCa1Q0SdKmJhd7WsiCPm0B0pAOBpjynKdVazvXCnS8ru9z82rfF8wziQqHHYdlWN+eImmfoOTTlWdXxvauqrfJLDxtNEDLWrNOgpRnD2FZ/fiwFWc2fFjUhewsta0IIIWTPOQjLWtBWoGQVA0a8UktYilhBYHXqFpN1TPWiEztuhFSASpzgHaufdTy0HuvuzriR5J7Gsjq9RhtWw4BijYkHYECMvxHHX8YQa9qaS8FqgqDG984DMK6Vk8dw4a1vKPvc/PJvWY3fSEIaDRkEbflaoibiXbnjXuf5MQRa3AYBNYb4honV2GBDu0JCyOWFljUhhBCy5xxENri0yGwydaNM1wXdHMHKNM5YjqEkpqLbrjPKBPbirFGM02neILW8QJu9LnjWnLVNJoP5obuOrveLv/MXADj1170WmTUbZBF79fN1roPOQQgtd8ejEV1D93lJNIARpKa6NItA+zym2lN6DWYCeo0erDj6SItJs5kFYGa+61wVq8VhmoE2rJEkb5lj8N7R74GU/PBIHbo3p10a71Tb6QqYcP4d+eFUs5WB96P+vloVPO7cBipMhho2BTAbnBBCCDnDHIZl7SmYJaySpn420Y7OWu17FkamUUWmwbsc89YXXguginfrMSq6K7qRdnGBhZqp224sLqcd4Gocx+MQrnQDK1+3sXMb1BvH1JitApWl5V2XqM3glnNL7bOQ8j5tUTLLtFZ16tmj2nVv37Cd5i5Z7FELy56uQOL7K96s2pPkWuFBVv5JNP+x3om9Fpbmd9NpziGY93XEQ+hhqfA53xHTm6M9MZ6uRnCu0m5UvFpha9XEudGyJoQQQs4w/GNNCCGE7DkHVboVJvI42zbiKJWbo7h+5IPFjXExcJGV3qjLzyIcIm4YIJFYY7hLZI/Ss1fN4bzhRk6Jiixol7bXm7mm9A9XfVrN6z/gMnR79kblSI5bzXKvNy7OIAzhue+txC0RO+m6163mGfrnRJOXjNRsQT3nJUwz8lxac/AkSi13sp6T7kNd/b4pGUw03HHnNpJIZfR6l3Ga8aLGLDokt8xbxJmskr9yr6PvhurVnRGw8ZIN5W5biXH6XaqfG6sfdySk1NAR7QHQdRubz7+TRNqIYlWUEl+vb3lwf0s4ctm3fm9ukmUOoGVNCCGE7DmHkWC2lG5FzRC6DQ2ERLmXhbciFSIBkgy9ciMTZ5XplcPU+3jiMTWeBTnSajLTlEPfz0xCyVC71EQpSKrJRafhi5s4l52bV0IUJAE28w9KTXZ5xoZat44k7TmNd2rKsZxnwfy+DZQFpZuhRMl06nNLCtlLBqytNUukaGeiciPHO2eVLHoleSNtWC0RoNS8hUxJmLfPSAvRzPgb2o0ywYwQQgg5wxxEzPqqp30irrn5K47LDgLLrqAsyOOSqONN3NhUVEK0/E6EKu6494H1vgDud1avurSoJiy+V+Prz2TNp8e3SjY8i7qWVvVKkazYTjcGbpTiyLH1WjVTMqfPZzVPbxWcKJ3Tz1ZpZvLOvtVwvx5/xHqr8SxqGcOySjrPiZlLscVr02moAlT307ne1rmXEiVpwrLce8vCFvT3csSDZZ37JfV9LZ9HDXE6LU+tEiKNlHnV85fvU6btaoPzLKzukbwzvJJWyckxzn0lbFTPzfBWwvGabYnnrt4d+thB/kg5N7WPFtWxro++DmYuxY4xag0ta0IIIWTPOQjL+ty5J+L8+auPs5Othg+6cceyrayqrNV3Y8kpC9taV8sqTNpeFgu72kaLZTRiHcZKrLcijeQXhbBI38hmrI9Tt3XUq8iyujTELTy5y3Jey/ms5uZYuJZ1Xlv89c+66Up9Lt0YkiGlqLNJvThjZnxTAEZhrsq3iE8seJaSJfOairGp74DMt0jYGvfb81Rp67nGqtLo0civbmn5aVWFOPKUlsemiCEtlRJu8xhjf9nWsux03kPKi6jQ2eDr75B6PzrvDOt908i8qn1Corh/BysXQT/n5RpX+8mzelG9U6VRkemJ854led6rz8teJ9RylpY1IYQQsuccRja4khsVQlH4XrasQSaDWWPFIrtyhcbq9ThGetGcp5khrcZNZSVHGa6K8Hqo8XrtF8MMb69BQ42XpWlZppltnX2Gmrp4lnyUxRqswqWdpiD5EFZctJG3dGqoo0YkI7G2TEMcL2PfkmX1vsvhc+TIl245n9Q90p9XeJKzYV6Kuo8luzpoctPsm2BIVjZjFTrfkZHM9ROL7w54YEJ5aiD13Q6rH4JxPJgNTgghhJxh+MeaEEII2XMOww2+iKIUMlKWiU5UnkiE5TLvCXikejJniugzHa8SLux6jPpc9DmHbvxeL+ZoDgPyiEJKTCbozmT1tAUGuzYFLu0toiJeAlskIaqfMcu16pX6uUmT2Oha7ZQ1rkr+PHdownXpPZf6GICfhLXpfILfee72ep4NCWnbqAObLoUcemb1HAJ6pWeZsJUpYuSUiFoCMCcpiqKfEcAPB/bOvZ5/5j6MhB3oBieEEELOMKdSujVN08sBfDuAGwC8YJ7nd1e/+2YAXwfgTwD81/M8/0xvPC2KIkQ9b6O+vkIro7f+vN5HGmnUJU7A8Yru/Pm2z6krbqHKPIDjVV5G8MEVb9AF/UbyVSMuYsinuitEo4xMWwLl58Dj4I1fGqhEkrBqdb9Kq7I+swisnrJCN6x8+V3vGauvjyfNaHk0dEmiXFNLPKOs/PXzoq3butRkh9ISXSpj2pUjHiS1TyRTW75z6vq+VMlfWqWcGZryKKcBSZjQqs4nEl+JBULGS7XcOQjG90mXnjVDVJZq/W4DDGGS6jzEkyTNMyRpsimzSxA18hDKeURJqVqcJ5O8K+/7oIS2GW/H0q3TqrN+AMDfAPCD9YfTNN0I4GsAfDaATwPwc9M0feY8z39y5adICCGE7AenGrOepulfA/h7YlkvVjXmeX7j8vPPAPj2eZ7/j2gcXboVxXy82Oybv/lLARyLmQC+GMpIUwsh0zYyVQaQGD/cr95nJGYdNWTQFs2ymgWOY7FmbN3YtyZa4brzdspfgOPVvCduEbVfbNrcJa+xNf9dyzsKTgwVCJ6hKJ64pZWfZ6UZ178RksnEUhPWuDffncqBjFi+LkXypDjr+VlCQS7Od8GM+2+IQzcEMV/POzdUipo4TrPNRuEazVD+hXpWm/LYIAfHjV0bc8k8h2cpZn0tgH9f/fzI8hkhhBDyuOWyucGnafo5AJ9q/Op18zz/uLeb8Zlp+k/TdBuA2wAAVz0VuPheO06m8DKKS8MNCyeWZEr9OXJ3oeDGQhQ/b6xu3Tghk629IZvdOtfzajV5Xl3Tu41x3fieEZ+Tc83MxVu1FsnGSE5TbWtl9R7HoWMLMkJW7GLZm+1S1biN1YYgF2GZQ0qIRMck61jesm05ZydeuaIjFCLSjeZctMWaqCIo1yshWNGLu5oYx5XxSmxWrreStF3dV+P+dY+p4vP6u2OywRLNtFb1vFrWs3Fs+Y+LrTSW6cD5WBLGQ/K9iqaRjczxVW2+kaAtauvdEd6/AS7bH+t5nr9kw26PAPgz1c/PAfBbzvh3AbgLOCrd2nAsQggh5EywbzHrzwbwowBegKMEs58HcH0vwcyLWdf0amAjecqeVOZqG09CNEKt5B6662gl9+Lv/IWySbESxFIcGVfPNdMwXZOID4U13+rYwkhcfij2FY03IGNqtkFFEIMP9rWePa+JQ9TMpWnKYXgEmmNqTqhOvOB8V6w691AWWM3PawUZWTsnIsU58B4w75mzj/ayAH4OhWC1jx3ScXAI82iCump9vN4zHOXTpCSQewTvhcjD0at/TuUmOcc155c4t72LWU/T9JXTND0C4AsB3LckkmGe5/cD+DEADwL4VwC+kZnghBBCHu+cSunWPM9vB/B253ffAeA7ruyMCCGEkP3lIPpZP/MZT8VX3/qidTIRELtulQuk6bULHLstlAvIFKzwxg/cmTqxRlxk4v6uXS6StJWRwnO730j/6YGSnDCJYzmOJIVocYR6DppUmZDn6qvPWZePqW1X7lLHZV6kPo0SqLKvcuFGiUP6nKKew65bLZBqFJre4wOiHFaZ3VCIRY1XfiwJSEfnbiWClR7YgQCMK1SRSKbTJVYlzKHfDwbme2DhuE/2+lk176B8N9TPq4Q7NW+9rxCJ+GwpIcyUk2n3vSesVP9uRA5Ynr+mFM16//awwkoigKTmIs8CYIS91LskKgF2k3UzobqN7FvpFiGEEEIUB2FZ/+7vfXi1SjJF4bWMZmJFKlJ4uqzLkhAVmlWwkVwg1szznvOU5ZOjcYYsG8PyKjgSk2UVuHxuJiQt1k3TS7eaU1Q+443nzV+XfdT7uIl91kpa9s1YYB2sUgsRzQlL/GQO6pxHEra096AWxGhK2dTKfyWeEYjN1PvWZXaNOEym4YOyiu83LK8G5bEyvU+dxKnIW6HvecaibuZmzL937y2Z3WLZJRphFIvXmxMMS25DEqA8369Wcqz6HKIxrKQ3/bxYTTSkBDL0DPYI9pF3631KllUsbd0wZ4WTgHq+Otfmu50QWzmpXt20rAkhhJA95zBbZC5kJDj16tIUbV8YivWoeOUqNmiJygO5BgeZcjJvnJFx9Wq/tlaclW0kTepZBKkysi1laglZSu05iYQNUiUzjvXUk6K19hWiFp/enOp5NWVpI000CCFXlL0r3SKEEEJInsOwrBdRFE3dREBbzl68z2rioKUZQ/EJLVUXZUgqUQ49Vws9XkawxWuusIpVOc0KrHiL12gglSEdNQhZ8MTxM6IfkbB+cz9VLFPuQx3X6oqKWDgejagJQh3XA5LSoYH4hHsfM/H/E2rpRwgZg5Y1IYQQcoY5CMv66c+9YX7+a96Sa1PmWEqmBdyJt1pxRrcmOGrp54naBxbYjc/5JADH1uEqPt9pvSloaw5IWuyeVGvCutcxVH3ONa40oRE/70lBWuNKhnfY+H4kbq728bwJVgtRXatqPstOXD4TPxc8z4w1hy2Z9ISQ7dCyJoQQQs4wB1Fn/eEPffTIUgiaOhy3OlxbXsW6euM72oGddnFCVKfstSZcbSOI2k5gxek56PrNyKrVimONelA9P0d5yVQNU0QWnlj34gnItBDU2felzaZxLaUWUsdqLxkeDTmn29+oDjiQJS/U+QbFSlZzK3MVFauq3aZWiPPulT6X1ZykSYShztTzOJh13IZq3WYsRSovE32LetVJM5Iln9l2h6z7k6rPddnlXLfeq5OsQtgyVqb+/6ToKNONQsuaEEII2XP4x5oQQgjZcw7CDX7Vk67CNddd07gJa7yesfe86wNHPxtNHNweq+J6rtxTpexHy9wt7kdLcq9JRJLxAldTc46WW8drblEabkhIwAgTXIC5j4lymZewgNEjWZcQFcnDoJe0h5V41yRkGS6ykujlJPhZJW3ymbi4ddLYqvxLu8wTiXhyXZrmIUGZl+xfStCCuWh0CeHKPa7kKLfglfUBrYxmJDLUS1pMiRfpJhE7ukvdss+o2c2CPOfSxzrq+S5YzSEyCawe+rqUsayNvZBLpl9z5DLP7rMVZ9y6jFfQ0qPnvcTKqCFU1GTohN3qtKwJIYSQPecgSre03Ki1KtfJYI04RyAsr60rs+RJrca0zGgktNHMzRC5aJJMBpIXvJaNZqmPJ+QRlcMFCTA9mVFLjMZbbWekScMWop5gjbbALEasBr2PxrCUNJuutzGuXF9tLf/oNxw90ze//Fva/Qcsgqb9ZOK51KWEmZK/SLDFTcQKmt0MJW2pc2rKPINnwS3HNBrj6HJM7/jmMTNJbr0xqs+871EmqbZ5Z9RzO4nvjx4r2ldtIwnFQFWyqUiVojrHSQlmBbB0ixBCCDnDHETM+qnPfAae/6pbWuvWEHwQmhaQAVq4IrNSktWmxLAtK7/X2L0Wz3jwvIrvqRj7RWNF58mAFvGLKk4qK38dt7HaaTbzVpgNVNS5yfUpMfJ6H3XMJk5mrdRlX+09MGKygr4ulkDLsTTpIupSnhvj3murxPm91ZyjWZEn4n0967keX3Pza9/Wjr8hxta0HEzM2xL90Rxb7EteRGDlWDkYNSPtGC35V/2cSOw9k9fRSOYaz6Vso8sxrRyKYtWXnRP3bINXSL8j5BqcD0SMUtLHzj4ZyWKX6hro96F+/9Tlmtp7sKVRU/P+iTxiLN0ihBBCDpuDiFmfe/b187W3vClenXmxtCDG5mUqh805FJFQSDdebliQjUdgJC43Ei9S81+N6zTjkOvyHV9+Q9lWYqJehm7UVMTzYFx46xvKv1/5A0f7uXEzy3obieF5cwr27zXEaDK/0T5L1vybWG/kRUjGHk050xMQy7CkVXWbTp05HsmlNuIxkQXm5TpsFRfpfF8tgRmd5Z+Jz6dyV3ZpspJ9Bxq/iyxg9xwTc0zlrgwgbW+1yJUloastaS+vaTVf7zpEstKMWRNCCCGPDw4iZv3Yh/4Qly78VIl/mq0OdVwiUUfYk2zMyFPKCuz8eaN+W+3jNcio53/fO9e1zFEDElcWNJHtaFkLgm4ZWg67rKx/5H1tnFivQGX8JuYJw3JXv1+Nr45Tzn3Z17qGrgRnYKHqI440z9Bzy9wrywrUteo6t+G+en85dLl/a+uykZNFLman0TF8bZ2s7m8vq9+4fhfufBkA4HU//dB6blGsXedzjNSNb4jjHr8zKk+Beu7lnK28iHKv1XdO3mfWs3ASUqRR1YyOr0bvCs9rEL1nvNbEq9yYDZZ1sajV90rGr71yq0oIoFx/wXq3uvk6wTs3zHMZgJY1IYQQsufwjzUhhBCy5xyEG/yqp33iyt0pkn6Wi7K4n5Rr8qXiqrhwvIuXUFJcNoFoSXGXBG4qr7OVlQzhJStIiYLpPurIpK6kVZWbWrt5VqUmnpDHMm7dVUq7JHUJiCXpqhOPtGu1LrfTnbT0XPRY9e8ywi8ekeiKnFsTelHb1TTu0SBhUB9blxbWx9DhnoZq/ltkRksoxHEfW9fUE8ix+nyLq1JCW01JDvzvxomhxrtxeVf803d8DwDgxd/5C0fHt0Ii3vcpSBwUcZSLkXiR/nnDOVshrp68a1gG53zXTUSGWH3/U99AdexIelbP++aX+wlg+vnRstBAmxzafL9qeePl3/XflF2gZU0IIYTsOQdRuqXlRk06ZUuWddUr1dhUjlUzIqfXKwsKyo00I6LzUZJIRq6z109ZJ5Ot5un8LpIbTcn+OfMPBTEcK9wU3uk9Y1E5WZAcpb0FWgwlEt45UVlTY97ePbIEYLySKim7AYz+8tF16VnUuzbyGHhnePNtkgMrmsYgKunKvIbO8UyUx057UDLzD4VsvOtrPBtuee0u98gocR153r15WwlmuoQwui5bkgBZukUIIYScYQ4iZi1Yq1bBi2FG0pmeJXO87/FK21vJWSvFY7GV9eeeKII1X6+F3WqbYJz+3JTYiLW70RJTj3vJsUqaGL8xvr4exyUtbbyvkYBMeDZ07sHxuP5zVMrWdAmUhef1sKw2dS8sb0UjIKGEN1YeAWWBNaITA8I4Efp66+9Xpv2l/LxqrKA9GRKDN+KgZTzHQhrBjLd24vGmdLHOkXH2BdprqGOl9weW40iehS6PCkuqeu0i6xwTXe6ltqnvi5aEbTx3I/K31u+NY3qUZ9URd7KeXVceWKjm38jgUm6UEEIIOWwOImb99OfeMD//NW8JV45WhjUwJhCyS5y4Jhu/rS0lyRDVmb8jcbMtcoAFo6Wf1/bPjFF5Fl0gLOPNL8pi7wpvBHMwY9ZqdZ2Rmk3F2NW23rMlVhvQtmgdkrv17vnWnIqOrOuW2GymlaJlxboNGZZnw5QN7uRoWIy01e16LgJr2ZWyjMbdGo9XpJ/d6HsbjNlcsyDXpBvrzbxDgvm6rYODFsbu/Bcy76YIxqwJIYSQM8xBWNY6GzxTW6vJrNij7D5dKyrjmPt0sicFKwvUtewCAfluVrhFNBcns9Ws3+7EyYZkO40GEKF1Fo1Vbxuswt1mE1Hmu/e8qCxTa96elWhtG8Uv9Vy8pjSmNWv9TtPLuh2px/XuHdrrb2YTd+ZS5mQ1LcngXBcvK986ZpRh7z0nQuo9kDgfr5nOai7J5kKZNrh6n/p3I41xXILmGaF3QuF5NCLvkJ6b9f3K5CBpaFkTQgghZ5jDsKyvvm4+d/O3xnGijjUy0lIxEuP3rNrMqt7LVDdZxigrOiMTVa++w3hUwlrzts00TnBrpo0VfBMTj2JI3qreeBa8uvDoOnn3wHwGknXhlpeiG7esyDxjen6eB8KqbR6ps+5Zx5HKXzNGIgPbbEfZqz2O3geaoHa3N35UDx3W5xteFCBu9Ttyj3p5OeH3SWF9x7u10xZObslQzHrBbNaTyEWSJjGloYdTR2+1ec3qGKzmwJg1IYQQctjwjzUhhBCy5xyWG1xjCLBrd51260RSk0KqPCsoZeklrEV9ZssYTjMEvZ9JolxKz03c7UCVRKHcgG/+5i8FsJaK9NzpJaFPJzwF87SuVy/Jx9q2+V0i+cRzOQ+55I159EpBTDKuUK/UKSEUMiQ36hy3EH0H9fGCBLmMdGOTXKSTsaLGEt784YdJwsSqTlhGviuAEoNBUGqJ/nsgwkuYrd953fLOIKTgJndFRGG3bKgicd3DZDEHU+ymRxR2S0A3OCGEEHKGOQy50Uf/CLj43jCpQERFiiylI35groL0Cm8gGc0smXHkJ3XyTH0eOglFy/PVc9FJZ431GbRflPGOpT3RzL+s7tV1uOPewOOgVrzSxrQZ0zi3ZtVdXT8t0ZixCr2EL8uS6bYM3FAOZLV3LL+LdhRvkC7bsQQllmP0WliaDU9GLGpt5eiyrOqaFK+Hk1ykmyQc/W79fIdJjBm5zg7WffUkQ8u26uf6M4+mUQnGWks2np4NpWiWvK5nUUsiYvEC1BakuifyXMp7qP6ua4nc8vlACVoopLL8X1+XkcRhmYuIEIUSqIFnQH8/KTdKCCGEHDiHFbPesHJJNa4fiBG6VlpC7i6DrFZl1adFWOpxBR2jsvbR5zEiqRqVv7nnqI5Tx8RlJf4dX34DAOB1P/0QAKdlYEduNDVPXcIVlMxkhEIKnvRpMIYnAgIEMVirdKiTb7EpHh3M1x0vYZXs8r1dHbuTd7Hz+JrgveCVYW66/iPNLbYwco8Gch6ETJ5BqnVlBqecNPxOewxIqob7DMCYNSGEEHKGOQzLWsmNWiv2bjOLkYYGI8L9mYzFhZG2d1GDBnc1mZAB9Jqrr4bZkG3bi1HVv/fu0ZamK5EIv7ZyoniozjY3M8md+xpKQ/aegWBbT/hkdazMuISQvYCWNSGEEHKGOQzLWsWsvXrOFR3rFvBrPFPj6+NY9KQ9N9RDrz4LarH1Pr2Yb1QD652PdU6pmF2nfV4qvhXEQ7sx5OqZ6LUvrZ+BVOtEPRdDPhOwY85erNqSRdStVAsJLwWtcEJOB1rWhBBCyBmGf6wJIYSQPecgRFGuetJVuOa6a7pCBEDlSnRceytXIrQc39HPYY9U7WZcPo5kKVPzdpLGLKEQLari9jJOJEdFyVxeOCByr5fr4UgfrsZxj2yQ6LtbStZ05xyZk+Wi73TQWrmIZduB8MZLe5KG1bbl7jn36G7junsCKuVaGKIul9TPhJDTh5Y1IYQQsucchGX92B8/dmRdiLzg8rnVX1Ys014DiBptzVpWYEk4Wn72EpKAfgJSKcmprDot0+f1qLbOxZP2jBK1LjmWtone1rDYdUKTTjDLJI3JnFZNRRxJVas9iGzrlrYpy7ielycEY5WcedewPI/Vc+k12Ih66R4fUCXgGV4ESTTT99yy5FNylydIrxd2RCSKsqWBQkOiPDNVZreDdyJTqngSwiHW7zb1y+4IH20aI2Lk3TQyjtqn/o5fKbEhC1rWhBBCyJ5zKqVb0zS9HMC3A7gBwAvmeX738vl1AB4C8CvLpu+a5/lv98Y79+zr52tveZPbxhBItGS0Wk122hdG22ZaKY6U+nTjn0a5kT5etI93PAvdeCEUR8msfjVeyz2rVK53LtU9S40H2yPjHi8Qo/FK5SzPwBaZVz1ulIMgz38p6TIsgEa4JmGZdq9pYG26QjnG/MvxRhqPZFopekSWde84g3PptdyUewcc37+hNpRqDpnvtvtuir5vI964hfAdmLxHkfBRNLcmnyOBVz4ZMuD9iEq3TssN/gCAvwHgB43f/do8z593ZadDCCGE7C+n8sd6nueHAGCaphMZ77EP/SEuXfipJuu5XnGVdmdOHFGyw81VemBNFdQKy8y2VeNdUhaktoBXDeqXlnruyq6ak46VeqvXjACMFZ+X/XTb0UjIQ0uIRvE+r4m9mX3unKPOxq/RMVJ9jqZnwBOhqc5VzrG0EzTaIAKq3WjnekfxynIt1fUCjvMd5DPtUbJihFajlCz6mh63afWtCk/cBWgz0vW9v3Dny8q2N2fEhEbJNN4Zif2qHIfVM+ZYurKv1Z721hdeezTOhe2x8eg7ritgQu+f8z3KNAx6/StuAgDcviHWG+YmOFU5ZnWFN66RF1Q+U+9sK2Zd7rUzt1H2MWZ9fpqm907T9G+mafoib6Npmm6bpund0zS9e/7YR6/k/AghhJArymWLWU/T9HMAPtX41evmef7xZZt/DeDvVTHrcwCeOs/z703T9DwA/wLAZ8/z/P9Fx2oaeSyE8WfZRmXdWqtYPYZpyagMbE9msx6naS6i5UyDtm7NvI0Wma5VtqX1W7B/lFnfa0oSxY0yGZZug5YA8VjcftudRx9kcgWcOdTPmPYEZFbf0Xj1voDvpXi1Uavd89ZE5z6U2dqJKYdZ/kEM2/Ucjcw3kGP16tqt73avNak5jroO1vuldx7WPezmLQS4LXKN89A5DmGM3PM+qdyW1f4jMXCP4PrrezWUWR/oJGS8lILbLCo4r1OJWc/z/CUb9nkUwKPLv98zTdOvAfhMAO8+4ekRQgghZ4a9coNP0/Qp0zR93PLvzwBwPYBfP91ZEUIIIafLaZVufSWAfwzgUwD8AYBfnuf5y6ZpehmAOwB8DMCfAPi2eZ7/ZW88Kd1qXDVGGUC3r3VNJ0HLZKD7k6Bdn6bLqedutCQ+F8QlJAlhkfurYaAfd/P7Gk/+0sBLPjOFEwYSwDw3neVGLnNx3GdhmZrn9sqUzgQuUJ34NdJVLuNi9fYdeXbD8Ue6qOl9BKOcqbiWez3ld8S7ZpYbvud2recveKI3VgJYmLzl4L1najw3tRfSWc3Fmb8u0QNOoGOhgyetHH3nhEw5XE84SJJLAeCOex9Y/S4Tqti70q15nt8O4O3G528D8LYrPyNCCCFkfznIftaFaoUtiTV6tZMS3JAxpCTHSM7xrISMAEHvuEC7OtVJaZHUpHfcqO90YwEb4h9CxsLr9ZA2kwE1kVUl4zgWJNBP8okENzIlVY3l68jURl4QLzHJnHdkuXjHVte/tgSaUrMBqUa5J1raNpVsuMGrZSUteec4JKNqeRMcj8iQWE/gXemJoYTW84isqWMt13iekZR30Smzi+bmNhnq7GfNscbz4IXlql7P+iCprrlHO4qksJ81IYQQcoY5KMs6VTay4MZOLXlE63dwSk00wUpdaFZyxoo0K5W52q+3ygukII9FLdaNMoCgxCwqY9D7BCvesk8gH2ueQ4eedZ+Zv2wjohw3v7aN2kTlgD3CmP4WCU5PbjS4lkNNFTryuvUYjRWVeE7dEhxDfMIr39vUlCIol5LvYMkBMUSYvGfXkj3uvYtW371MHkePDdZf97sTbJvygiyYZV4eGZGqwNvalEI6YjeZRh5CxmNCy5oQQgg5UA6iRabgNqyokBVdY71KLCyylnVGs7Hys+JAwFr20vMANLFkY5WmV9DaAq7nKTx019E53XDber7RilEssCZOj9aibtpfWlbJMm4jMGFYkF6jkGZMVNKqQuANcT0tah/LStH39ZU/0FpTWhRGrCd9HlbMXcbR57qyNORc1DNrtnlVq3gt+xnF+2S8SxeaX7lYmcXA+hmTZ/TYwvbHayzQ5Xy0xCoQeJmUrG+mSYT2ANXj6/t4v3Mf6nH01dUx/Xq85r2w/H+Vt5BpLavZ4mFb8N5nUaWNvl71c6nH0+cctSrWmO9JdX0iwSbxjJTPmjj0e905ZbLLG3asSqBlTQghhOw5hxGz1nKjAxmdu8R6zNZsDqYspZMtaUkeyiowanHYm2+Iszo2433Kw+DJXwJ+C8go1ubVSluWdiZWqufda0kYtsgUVGwfaO9NqvGD561JZA03XpWgOqH3sz7Wat4JMloBIzK4bjZywpIcyVx2GWjVmKlZ96zO+jPtTTA9Sxt0HPS20fXxqkBMD543h0hKtKeHMHAeluXuvlsHpGG9vIAaXXFjXcst3yfGrAkhhJAzzGHErM89+WhFIyshWTnWqzT5d0/JKZFZaFm+lx5W8Q6VAWw1Bjiu/e5bDU0W74DV3MwpOEdtSUarQW/1asXP9T1pziOxorZiR959NLPOl2OcX1bk7qq+snp6TSKiXIHu59X4Om4WqmJJHNqpu6638SyYEpeunrlU/NNBZ77Lz/dX555pj9rMRZ4X9fuoXlaO/eD5gfpqwbpXTh5Eytp0sJ5l+Y43z0SFV00xguv5QdXOUX+nVe4ArHer9gZZVQpqDo1mQ/2D905YPr/ffG4Cq14RaTJ4+8pzebfyIt4HJ7aPnEWdgZY1IYQQsufwjzUhhBCy5xxEgpk08oj6TYcJU0DstvLcMVESykAymptslWhCYY4/IhGo8EQc6pITt3d0kFDiSj5GiVTRuGq+bi/pTKJZcN319cg0IhkRQQiTcXr7Kmrp0Hve9YGjeaqEtUzTkkxDg0KvKUemqctyHKuUcEg8Y6RpyUiC2UJKhlLvPyC80+uHDiTFnBwy7w5hJLEv2098Nc4WKVhFVLYqIUb5HjTCJ+gnPI4067GuYa/BiQUTzAghhJAzzEFY1qWRhzAgP+e1SwTahCyxXN7zyEfWv6/H81b1ieYNVoMNwbOOo+L8przAk7+rPvMs0trqceX5DPT16FnYq320Nbth9W3SsQZrq81rmLKlBad4JzLnkWkx2Xwe4exz4a1vKB+J0MuWkq1U8piag5eMudrPmXfUvMQTwshY1mZzC8dTFSan9t43ifdB2Cp3i8DGQFKqZy2nSi4zLU93bHjRHSNh+Qojycau6JUhrSpkGpoItKwJIYSQM8xBWNYlZh2siLpiHwPNBKzVbdNCMSj2d0s+EmICzbYW2VX3hhi2Ob8gnt40tVACHtb42hLVJSxW3ElbUVETDbf9p3GvxPLUVqc8TyJWU5+b205z5LmMmpZsELvxLIw6ryO6zsMEAjC9/It6nl4M3BKjaSzRDSJGkeXby1dINXFYSDWsCOLmzfcpYiAvQq6rK76UEJiJLFTPM2V6WbKWdWJ8i56csVXS1c3JsN7ZA94QWtaEEELIGeYgLGsvZm21dfQyUSOBgy3CKZEUZBl3JDO9t3od2Taw0FwvgoUjpVgfv9uI3pL4zLbGC8aL5DR718FqzqHnH3kRXv+KmwAAd9z7wGrcLRZkKF+4g4hJRpZ1i/RjlIvQ9QwE8e2MV8GTvzXHH8GZSxS/dcVLjDk0rUODbXtzGsHMH0ne+6htZ+jRULFdLyek/qwh8U7y3nmp3JuR6pOgKmSkNatAy5oQQgg5wxyEZf2sP3fT/NXf/VY7qzSLEQtr5DkzUpBRbefChTtfBgD4kfct0nWe9W2sbnXLSis7scmC7bSNAwLLcSD241o02Bbv09dZx9Pq32UyUbvWX8IjU7C2dSyMVIb0SPbqQNMSXVcd1VKnPEijRF6QDYT18yfJSOzxpDUaLhdbMskz5zxSM92bw0lfl5M855F9N+5Py5oQQgg5w/CPNSGEELLnHIQbvCSYJdxTQ/KRhqsT6LiGey7QYPwhURTleqpLiGppUKCf3FWTkWp0+7RmSim8YwcCBKGgSkc6dOeEFTW/Lcl0bilXvb/j/pYSHSDunavJuvzrMVLd2Qghlw26wQkhhJAzzGH0s370j4CL743LhBYLwuujGpVjuaUJkeWx/C4qrpE5FDEKGU+VBxzN++j/ui+0nOv9xrk2ll1GcGPZxkuYq2l6R1sNGeReaI9A1MRh2ad4GpZjazlJwCihiDwaHZlXEf+X5L16XheDhK8yb92AQT0fUeKWlwhmikQkSky6DU2MferEPULIfkHLmhBCCNlzDipmnRFrb4hip8pKC+UMe1J+1ee9UqdMMX1k+WYl8SzxD4l9i0WXiek3c4oaJiSlG6N9o9InV4wCfVGUqM2dlrSMytQypX7hOVm/R9zeUm/bzEUx0rCCEHJlYMyaEEIIOcMclGUtpEThRwQr9BhBFrUQZiV3LN/IOnSbUBi4MfzAsvYsXVMOdEAkwmsDamXAey0rrZi1K4ISyHU22eWRdd+hnrfbXCGR4zASWy4EORRN5nwmz6L3vG8RljDG09c91VZwy/wXZPxbX3ht+azkJYyMq7bRksKpyoMEjfxo4rpHIkZZmV2g07bU29fzsAVtZL3n02y2MtAAppfXEcoaOx42q6nLyDVN5Zosn9GyJoQQQs4wB2FZT9P0OwB+47TnUfFMAL972pO4gjzezhfgOT8eeLydL8BzPm0+fZ7nT7F+cRB/rPeNaZre7bkyDpHH2/kCPOfHA4+38wV4zvsM3eCEEELInsM/1oQQQsiewz/Wl4e7TnsCV5jH2/kCPOfHA4+38wV4znsLY9aEEELInkPLmhBCCNlz+Mf6hJim6eXTNL1/mqY/nabpC6rPr5um6aPTNP3y8t//fJrzPEm8c15+983TNP3qNE2/Mk3Tl53WHC8n0zR9+zRNH6jubavheQBM0/SS5T7+6jRNf/+053MlmKbp4Wma3rfc13ef9nwuB9M0vWWapg9O0/RA9dknT9P0jmma/t3y/6ujMc4azjmfie8x/1ifHA8A+BsAftH43a/N8/x5y39/+wrP63JinvM0TTcC+BoAnw3gJQB+YJqmj7vy07sifF91bw9OTHu5b98P4MsB3AjgFcv9fTxw83Jf976sZyM/hKPvZ83fB/Dz8zxfD+Dnl58PiR9Ce87AGfge84/1CTHP80PzPP/Kac/jShKc818D8M/meX50nueLAH4VwAuu7OzICfECAL86z/Ovz/P8xwD+GY7uLznjzPP8iwD+g/r4rwH44eXfPwzgr1/JOV1unHM+E/CP9ZXh/DRN752m6d9M0/RFpz2ZK8C1AP599fMjy2eHyDdN0/RvF/faQbkMFx5P97JmBvCz0zS9Z5qm2057MleQZ8/zfAkAlv8/65Tnc6XY++8x/1gPME3Tz03T9IDxX2RpXALw3HmePx/A3wXwo9M0Pf3KzHh3Np7zZHx2JssOOuf/ZgB/FsDn4eg+f+9pzvUycTD3cpC/NM/zX8CR+/8bp2n6K6c9IXLZOBPf4yee9gTOEvM8f8mGfR4F8Ojy7/dM0/RrAD4TwJlIWtlyzjiyvv5M9fNzAPzWyczoypI9/2ma/gmAn7zM0zkNDuZejjDP828t///gNE1vx1E4wMpHOTR+e5qma+Z5vjRN0zUAPnjaE7rczPP82/Lvff4e07K+zEzT9CmSXDVN02cAuB7Ar5/urC47PwHga6ZpOjdN03kcnfP/dcpzOnGWl5nwlThKuDs0fgnA9dM0nZ+m6Uk4Shz8iVOe02VlmqanTNP0NPk3gL+Kw7y3Fj8B4GuXf38tgB8/xblcEc7K95iW9QkxTdNXAvjHAD4FwH3TNP3yPM9fBuCvALhjmqaPAfgTAH97nuczmeCg8c55nuf3T9P0YwAeBPAxAN84z/OfnOZcLxN3TtP0eThyCz8M4OtPdTaXgXmePzZN0zcB+BkAHwfgLfM8v/+Up3W5eTaAt0/TBBy9I390nud/dbpTOnmmaboXwBcDeOY0TY8A+DYA3wXgx6Zp+joAvwng5ac3w5PHOecvPgvfYyqYEUIIIXsO3eCEEELInsM/1oQQQsiewz/WhBBCyJ7DP9aEEELInsM/1oQQQsiewz/WhBBCyJ7DP9aEHDDTNP2ZaZouTtP0ycvPVy8/f7qx7Scs+vUn3iFtkW3dS81lQs4C/GNNyAEzz/O/x5H28XctH30XgLvmef4NY/NXAfjnl0nA5h4A33AZxiXkcQFFUQg5cKZpugrAewC8BcDfAvD5S7tLvd39AF45z/PD0zR9MYB/COC3cdTg4J8DeB+A/wbAJwD46/M8/9o0TT8E4KMA/jyATwfwX+JIpvILAfyf8zz/zWXsqwG8c57nmy7XeRJyyNCyJuTAmef5MQCvAfB9AP5b5w/1kwB8xjzPD1cffy6O/jh/DoBbAXzmPM8vAHA3gP+q2u5qAC8G8HcA/MvlOJ8N4HMWGUfM8/z7AM5N0/SMEz05Qh4n8I81IY8PvhxH7f88y/aZAP5AffZL8zxfWjrH/RqAn10+fx+A66rt/uV85KJ7H4Dfnuf5ffM8/ymA96vtPgjg03Y4B0Iet/CPNSEHzmLdfimAFwL4O6rLkPBRAB+vPnu0+vefVj//KdZNgB41trG2+/jlOISQQfjHmpADZjpqHfVmHLm/fxPAdwP4Hr3d4qb+uGma9B/sk5zHp+KoqxEhZBD+sSbksPlbAH5znud3LD//AIA/P03Tf2ps+7MA/vJlmsfzALxrnuePXabxCTlomA1OCAEATNP0+QD+7jzPt16Gsd8E4Cfmef75kx6bkMcDtKwJIQCAeZ7fC+DC5RBFAfAA/1ATsh1a1oQQQsieQ8uaEEII2XP4x5oQQgjZc/jHmhBCCNlz+MeaEEII2XP4x5oQQgjZc/5/8XMu3cGAJkkAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(empty_grid, source, detector, verbose=False)\n", + "sim.add_wire_mesh(np.array([0.5, -4, 0]) * u.mm, extent, nwires, wire_diameter)\n", + "run_radiograph(sim)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Setting the `extent` keyword to a single value will create a circular mesh (with a rectangular grid of wires)." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(empty_grid, source, detector, verbose=False)\n", + "sim.add_wire_mesh(location, (1 * u.mm), nwires, wire_diameter)\n", + "run_radiograph(sim)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.add_wire_mesh\n", + "\n", + "[add_wire_mesh()] has two optional keywords that can be used to change the orientation of the mesh. The first, `mesh_hdir` is a unit vector that sets the horizontal direction of the mesh plane. This can be used to effectively rotate the mesh. For example the following example will rotate the mesh by $45^\\circ$ (note that these unit vector inputs are automatically normalized)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(empty_grid, source, detector, verbose=False)\n", + "nremoved = sim.add_wire_mesh(\n", + " location, extent, nwires, wire_diameter, mesh_hdir=np.array([0.5, 0, 0.5])\n", + ")\n", + "run_radiograph(sim)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The second keyword argument, `mesh_vdir`, overrides the unit vector that defines the vertical direction of the mesh plane. By default this vector is set to be mutually orthogonal to `mesh_hdir` and the detector plane normal so that the mesh is parallel to the detector plane. Changing this keyword (alone or in combination with `mesh_hdir`) can be used to create a tilted mesh." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(empty_grid, source, detector, verbose=False)\n", + "nremoved = sim.add_wire_mesh(\n", + " location, extent, nwires, wire_diameter, mesh_vdir=np.array([0, 0.7, 1])\n", + ")\n", + "run_radiograph(sim)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using a Wire Mesh in an Example Radiograph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", + "\n", + "To illustrate the use of a mesh in an actual example, we'll first create an example [CartesianGrid] object and fill it with the analytical electric field produced by a sphere of Gaussian potential." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a Cartesian grid\n", + "L = 1 * u.mm\n", + "grid = CartesianGrid(-L, L, num=150)\n", + "\n", + "# Create a spherical potential with a Gaussian radial distribution\n", + "radius = np.linalg.norm(grid.grid, axis=3)\n", + "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", + "potential = 2e5 * np.exp(-(arg ** 2)) * u.V\n", + "\n", + "# Calculate E from the potential\n", + "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", + "Ex = -np.where(radius < L / 2, Ex, 0)\n", + "Ey = -np.where(radius < L / 2, Ey, 0)\n", + "Ez = -np.where(radius < L / 2, Ez, 0)\n", + "\n", + "# Add those quantities to the grid\n", + "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", + "\n", + "\n", + "# Plot the E-field\n", + "fig = plt.figure(figsize=(8, 8))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.view_init(30, 30)\n", + "\n", + "# skip some points to make the vector plot intelligable\n", + "s = tuple([slice(None, None, 10)] * 3)\n", + "\n", + "ax.quiver(\n", + " grid.pts0[s].to(u.mm).value,\n", + " grid.pts1[s].to(u.mm).value,\n", + " grid.pts2[s].to(u.mm).value,\n", + " grid[\"E_x\"][s],\n", + " grid[\"E_y\"][s],\n", + " grid[\"E_z\"][s],\n", + " length=1e-6,\n", + ")\n", + "\n", + "ax.set_xlabel(\"X (mm)\")\n", + "ax.set_ylabel(\"Y (mm)\")\n", + "ax.set_zlabel(\"Z (mm)\")\n", + "ax.set_xlim(-1, 1)\n", + "ax.set_ylim(-1, 1)\n", + "ax.set_zlim(-1, 1)\n", + "ax.set_title(\"Gaussian Potential Electric Field\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we will create a mesh and run the particle tracing simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "nbsphinx-thumbnail": { + "tooltip": "Proton Radiography with a Wire Mesh" + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sim = cpr.Tracker(grid, source, detector, verbose=False)\n", + "sim.add_wire_mesh(location, extent, 11, wire_diameter)\n", + "sim.create_particles(3e5, 15 * u.MeV, max_theta=8 * u.deg)\n", + "run_radiograph(sim, vmax=10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice how the vertices of the grid are displaced by the fields." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/docs/notebooks/diagnostics/proton_radiography_particle_tracing.ipynb b/docs/notebooks/diagnostics/proton_radiography_particle_tracing.ipynb deleted file mode 100644 index 9c7234be22..0000000000 --- a/docs/notebooks/diagnostics/proton_radiography_particle_tracing.ipynb +++ /dev/null @@ -1,418 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Creating Synthetic Proton Radiographs by Particle Tracing" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "Proton radiography is a diagnostic technique often used to interrogate the electric and magnetic fields inside high energy density plasmas. The area of interest is positioned between a bright source of protons and a detector plane. Electric and magnetic fields in the plasma deflect the protons, producing patterns on the detector. Since this represents a non-linear and line-integrated measurement of the fields, the interpretation of these \"proton radiographs\" is complicated.\n", - "\n", - "The [SyntheticProtronRadiography] class creates a synthetic proton radiographs given a grid of electric and magnetic field (produced either by simulations or analytical models). After the geometry of the problem has been set up, a particle tracing algorithm is run, pushing the protons through the field region. After all of the protons have reached the detector plane, a synthetic proton radiograph is created by making a 2D histogram in that plane." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import astropy.constants as const\n", - "import astropy.units as u\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "from plasmapy.diagnostics import proton_radiography as prad\n", - "from plasmapy.plasma.grids import CartesianGrid" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", - "\n", - "To illustrate the use of this package, we'll first create an example [CartesianGrid] object and fill it with the analytical electric field produced by a sphere of Gaussian potential." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a Cartesian grid\n", - "L = 1 * u.mm\n", - "grid = CartesianGrid(-L, L, num=100)\n", - "\n", - "# Create a spherical potential with a Gaussian radial distribution\n", - "radius = np.linalg.norm(grid.grid, axis=3)\n", - "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", - "potential = 2e5 * np.exp(-(arg ** 2)) * u.V\n", - "\n", - "# Calculate E from the potential\n", - "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", - "Ex = -np.where(radius < L / 2, Ex, 0)\n", - "Ey = -np.where(radius < L / 2, Ey, 0)\n", - "Ez = -np.where(radius < L / 2, Ez, 0)\n", - "\n", - "# Add those quantities to the grid\n", - "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", - "\n", - "\n", - "# Plot the E-field\n", - "fig = plt.figure(figsize=(8, 8))\n", - "ax = fig.add_subplot(111, projection=\"3d\")\n", - "ax.view_init(30, 30)\n", - "\n", - "# skip some points to make the vector plot intelligable\n", - "s = tuple([slice(None, None, 6)] * 3)\n", - "\n", - "ax.quiver(\n", - " grid.pts0[s].to(u.mm).value,\n", - " grid.pts1[s].to(u.mm).value,\n", - " grid.pts2[s].to(u.mm).value,\n", - " grid[\"E_x\"][s],\n", - " grid[\"E_y\"][s],\n", - " grid[\"E_z\"][s],\n", - " length=1e-6,\n", - ")\n", - "\n", - "ax.set_xlabel(\"X (mm)\")\n", - "ax.set_ylabel(\"Y (mm)\")\n", - "ax.set_zlabel(\"Z (mm)\")\n", - "ax.set_xlim(-1, 1)\n", - "ax.set_ylim(-1, 1)\n", - "ax.set_zlim(-1, 1)\n", - "ax.set_title(\"Gaussian Potential Electric Field\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[astropy.units.Quantity]: https://docs.astropy.org/en/stable/units/quantity.html#quantity\n", - "\n", - "Prior to running the particle tracing algorithm, the simulation instance must be instantiated by providing some information about the setup, including the locations of the source and detector relative to the origin of the grid.\n", - "\n", - "\n", - "\n", - "The source and detector coordinates are entered as a 3-tuple in one of three coordinate systems: Cartesian ($x$, $y$, $z$), spherical ($r$, $\\theta$, $\\phi$) or cylindrical ($r$, $\\theta$, $z$). All values should be [astropy.units.Quantity] instances with units of either length or angle. The vector from the source to the detector should pass through the origin to maximize the number of particles that pass through the simulated fields." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", - "detector = (0 * u.mm, 100 * u.mm, 0 * u.mm)\n", - "\n", - "sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[create_particles()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.create_particles\n", - "\n", - "\n", - "Note that, since the example grid did not include a B-field, the B-field is assumed to be zero and a warning is printed.\n", - "\n", - "Next, a distribution of `nparticles` simulated particles of energy `particle_energy` is created using the [create_particles()] function. Setting the `max_theta` parameter eliminates particles with large angles (relative to the source-detector axis) which otherwise would likely not hit the detector. Particles with angles less than $\\theta_{max}$ but greater than $\\theta_{track}$ in the setup figure above will not cross the grid. These particles are retained, but are coasted directly to the detector plane instead of being pushed through the grid.\n", - "\n", - "The `particle` keyword sets the type of the particles being traced. The default particle is protons, which is set here explicitly to demonstrate the use of the keyword.\n", - "\n", - "By default, the particle velocities are initialized with random angles (a Monte-Carlo approach) with a uniform flux per unit solid angle. However, particles can also be initialized in other ways by setting the `distribution` keyword." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim.create_particles(1e5, 3 * u.MeV, max_theta=np.pi / 15 * u.rad, particle=\"p\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[AbstractGrid]: ../../api/plasmapy.plasma.grids.AbstractGrid.rst#plasmapy.plasma.grids.AbstractGrid\n", - "\n", - "[run()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.run\n", - "\n", - "The simulation is now ready to run. In brief, the steps of the simulation cycle are as follows:\n", - "\n", - "1. Particles that will never hit the field grid are ignored (until a later step, when they will be automatically advanced to the detector plane).\n", - "\n", - "\n", - "2. Particles are advanced to the time when the first particle enters the simulation volume. This is done in one step to save computation time.\n", - "\n", - "\n", - "3. While particles are on the grid, the particle pusher advances them each timestep by executing the following steps:\n", - "\n", - " A. The fields at each particle's location are interpolated using the interpolators defined in the [AbstractGrid] subclasses.\n", - " \n", - " B. The simulation timestep is automatically (and adaptively) calculated based on the proton energy, grid resolution, and field amplitudes. This timestep can be clamped or overridden by setting the `dt` keyword in the [run()] function.\n", - " \n", - " C. An implementation of the Boris particle push algorithm is used to advance the velocities and positions of the particles in the interpolated fields.\n", - " \n", - " \n", - "4. After all of the particles have left the grid, all particles are advanced to the detector plane (again saving time). Particles that are headed away from the detector plane at this point are deleted, as those particles will never\n", - "be detected.\n", - "\n", - "When the simulation runs, a progress meter will show the number of particles currently on the grid. This bar will start at zero, increase as particles enter the grid, then decrease as they leave it. When almost all particles have left the grid, the simulation ends." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "sim.run()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The following plot illustrates that, after the simulation has ended, all particles have been advanced to the detector plane." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig = plt.figure(figsize=(8, 8))\n", - "ax = fig.add_subplot(111, projection=\"3d\")\n", - "ax.view_init(30, 150)\n", - "ax.set_xlabel(\"X (cm)\")\n", - "ax.set_ylabel(\"Y (cm)\")\n", - "ax.set_zlabel(\"Z (cm)\")\n", - "\n", - "# Plot the source-to-detector axis\n", - "ax.quiver(\n", - " sim.source[0] * 100,\n", - " sim.source[1] * 100,\n", - " sim.source[2] * 100,\n", - " sim.detector[0] * 100,\n", - " sim.detector[1] * 100,\n", - " sim.detector[2] * 100,\n", - " color=\"black\",\n", - ")\n", - "\n", - "# Plot the simulation field grid volume\n", - "ax.scatter(0, 0, 0, color=\"green\", marker=\"s\", linewidth=5, label=\"Simulated Fields\")\n", - "\n", - "# Plot the the proton source and detector plane locations\n", - "ax.scatter(\n", - " sim.source[0] * 100,\n", - " sim.source[1] * 100,\n", - " sim.source[2] * 100,\n", - " color=\"red\",\n", - " marker=\"*\",\n", - " linewidth=5,\n", - " label=\"Source\",\n", - ")\n", - "\n", - "ax.scatter(\n", - " sim.detector[0] * 100,\n", - " sim.detector[1] * 100,\n", - " sim.detector[2] * 100,\n", - " color=\"blue\",\n", - " marker=\"*\",\n", - " linewidth=10,\n", - " label=\"Detector\",\n", - ")\n", - "\n", - "\n", - "# Plot the final proton positions of some (not all) of the protons\n", - "ind = slice(None, None, 200)\n", - "ax.scatter(\n", - " sim.x[ind, 0] * 100, sim.x[ind, 1] * 100, sim.x[ind, 2] * 100, label=\"Protons\",\n", - ")\n", - "\n", - "ax.legend()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A 'synthetic proton radiograph' can now be constructed by creating a 2D histogram of proton positions in the image plane. The synthetic radiograph function takes two keywords:\n", - "\n", - "- 'size' gives the locations of the lower left and upper right corners of the detector grid in image plane coordinates.\n", - "\n", - "- 'bins' is the number of histogram bins to be used in the horizontal and vertical directions. Using more bins creates a higher resolution image, but at the cost of more noise." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "nbsphinx-thumbnail": { - "output-index": -1, - "tooltip": "Proton Radiography" - } - }, - "outputs": [], - "source": [ - "# A function to reduce repetative plotting\n", - "def plot_radiograph(hax, vax, intensity):\n", - " fig, ax = plt.subplots(figsize=(8, 8))\n", - " plot = ax.pcolormesh(\n", - " hax.to(u.cm).value,\n", - " vax.to(u.cm).value,\n", - " intensity.T,\n", - " cmap=\"Blues_r\",\n", - " shading=\"auto\",\n", - " )\n", - " cb = fig.colorbar(plot)\n", - " cb.ax.set_ylabel(\"Intensity\")\n", - " ax.set_aspect(\"equal\")\n", - " ax.set_xlabel(\"X (cm), Image plane\")\n", - " ax.set_ylabel(\"Z (cm), Image plane\")\n", - " ax.set_title(\"Synthetic Proton Radiograph\")\n", - "\n", - "\n", - "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", - "bins = [200, 200]\n", - "hax, vax, intensity = sim.synthetic_radiograph(size=size, bins=bins)\n", - "plot_radiograph(hax, vax, intensity)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As expected, the outward-pointing electric field in the sphere has deflected the protons out of the central region, leaving a dark shadow.\n", - "\n", - "Kugland et al. 2012 and Bott et al. 2017 define the dimensionless \"contrast parameter\" that separates different regimes of proton radiography:\n", - "\n", - "\\begin{equation}\n", - "\\mu = \\frac{l \\alpha}{a}\n", - "\\end{equation}\n", - "Where $l$ is the distance from the source to the grid, $a$ is the spatial scale of the scattering electromagnetic fields, and $\\alpha$ is the particle deflection angle. The value of $\\mu$ can fall in one of three regimes:\n", - "\n", - "\\begin{align}\n", - "\\mu &\\ll 1 \\rightarrow \\text{ linear}\\\\\n", - "\\mu &< \\mu_c \\rightarrow \\text{ nonlinear injective}\\\\\n", - "\\mu &> \\mu_c \\rightarrow \\text{ caustic}\\\\\n", - "\\end{align}\n", - "\n", - "where $\\mu_c \\sim 1$ is a characteristic value at which particle paths cross, leading to the formation of bright caustics. Correctly placing a radiograph in the correct regime is necessary to determine which analysis techniques can be applied to it.\n", - "\n", - "The maximum deflection angle can be calculated after the simulation has run by comparing the initial and final velocity vectors of each particle" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "max_deflection = sim.max_deflection\n", - "print(f\"Maximum deflection α = {np.rad2deg(max_deflection):.2f}\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The spatial scale of the field constructed in this example is $\\sim$ 1 mm, and $l$ is approximately the distance from the source to the grid origin. Therefore, we can calculate the value of $\\mu$" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "a = 1 * u.mm\n", - "l = np.linalg.norm(sim.source * u.m).to(u.mm)\n", - "mu = l * max_deflection.value / a\n", - "print(f\"a = {a}\")\n", - "print(f\"l = {l:.1f}\")\n", - "print(f\"μ = {mu:.2f}\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "which places this example in the non-linear injective regime." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Options" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[create_particles()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.create_particles\n", - "\n", - "For sake of comparison, here is the result achieved by setting `distribution = 'uniform'` in the [create_particles()] function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim.create_particles(\n", - " 1e5, 3 * u.MeV, max_theta=np.pi / 15 * u.rad, distribution=\"uniform\"\n", - ")\n", - "sim.run()\n", - "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", - "bins = [200, 200]\n", - "hax, vax, intensity = sim.synthetic_radiograph(size=size, bins=bins)\n", - "plot_radiograph(hax, vax, intensity)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/docs/notebooks/diagnostics/proton_radiography_particle_tracing_custom_source.ipynb b/docs/notebooks/diagnostics/proton_radiography_particle_tracing_custom_source.ipynb deleted file mode 100644 index a010e80f31..0000000000 --- a/docs/notebooks/diagnostics/proton_radiography_particle_tracing_custom_source.ipynb +++ /dev/null @@ -1,613 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Synthetic Radiographs with Custom Source Profiles" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "In real charged particle radiography experiments, the finite size and distribution of the particle source limits the resolution of the radiograph. Some realistic sources produce particles with a non-uniform angular distribution that then superimposes a large scale \"source profile\" on the radiograph. For these reasons, the \n", - "[SyntheticProtronRadiography] particle tracing class allows users to specify their own initial particle positions and velocities. This example will demonstrate how to use this functionality to create a more realistic synthetic radiograph that includes the effects from a non-uniform, finite source profile." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import astropy.constants as const\n", - "import astropy.units as u\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import warnings\n", - "\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "from plasmapy.diagnostics import proton_radiography as prad\n", - "from plasmapy.formulary.mathematics import rot_a_to_b\n", - "from plasmapy.particles import Particle\n", - "from plasmapy.plasma.grids import CartesianGrid" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Contents\n", - "\n", - "1. [Creating Particles](#Creating-Particles)\n", - " 1. [Creating the Initial Particle Velocities](#Creating-the-Initial-Particle-Velocities)\n", - " 1. [Creating the Initial Particle Positions](#Creating-the-Initial-Particle-Positions)\n", - "1. [Creating a Synthetic Radiograph](#Creating-a-Synthetic-Radiograph)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Creating Particles" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this example we will create a source of 1e5 protons with a 5% variance in energy, a non-uniform angular velocity distribution, and a finite size." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "nparticles = 1e5\n", - "particle = Particle(\"p+\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will choose a setup in which the source-detector axis is parallel to the $y$-axis." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# define location of source and detector plane\n", - "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", - "detector = (0 * u.mm, 100 * u.mm, 0 * u.mm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Creating the Initial Particle Velocities" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will create the source distribution by utilizing the method of separation of variables,\n", - "\n", - "$$f(v, \\theta, \\phi)=u(v)g(\\theta)h(\\phi)$$\n", - "\n", - "and separately define the distribution component for each independent variable, $u(v)$, $g(\\theta)$, and $h(\\phi)$. For geometric convenience, we will generate the velocity vector distribution around the $z$-axis and then rotate the final velocities to be parallel to the source-detector axis (in this case the $y$-axis).\n", - "\n", - "\n", - "\n", - "\n", - "First we will create the orientation angles polar ($\\theta$) and azimuthal ($\\phi$) for each particle. Generating $\\phi$ is simple: we will choose the azimuthal angles to just be uniformly distributed" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "phi = np.random.uniform(high=2 * np.pi, size=int(nparticles))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "However, choosing $\\theta$ is more complicated. Since the solid angle $d\\Omega = sin \\theta d\\theta d\\phi$, if we draw a uniform distribution of $\\theta$ we will create a non-uniform distribution of particles in solid angle. This will create a sharp central peak on the detector plane." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "theta = np.random.uniform(high=np.pi / 2, size=int(nparticles))\n", - "\n", - "fig, ax = plt.subplots(figsize=(6, 6))\n", - "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", - "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", - "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", - "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", - "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", - "ax.set_yscale(\"log\")\n", - "ax.set_xlim(0, np.pi / 2)\n", - "ax.set_ylim(None, 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", - "\n", - "To create a uniform distribution in solid angle, we need to draw values of $\\theta$ with a probability distribution weighted by $\\sin \\theta$. This can be done using the [np.random.choice()] function, which draws `size` elements from a distribution `arg` with a probability distribution `prob`. Setting the `replace` keyword allows the same arguments to be drawn multiple times." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "arg = np.linspace(0, np.pi / 2, num=int(1e5))\n", - "prob = np.sin(arg)\n", - "prob *= 1 / np.sum(prob)\n", - "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", - "\n", - "fig, ax = plt.subplots(figsize=(6, 6))\n", - "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", - "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", - "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", - "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", - "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", - "ax.set_yscale(\"log\")\n", - "ax.set_xlim(0, np.pi / 2)\n", - "ax.set_ylim(None, 0.1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", - "[create_particles()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.create_particles\n", - "\n", - "Now that we have a $\\theta$ distribution that is uniform in solid angle, we can perturb it by adding additional factors to the probability distribution used in [np.random.choice()]. For this case, let's create a Gaussian distribution in solid angle.\n", - "\n", - "Since particles moving at large angles will not be seen in the synthetic radiograph, we will set an upper bound $\\theta_{max}$ on the argument here. This is equivalent to setting the `max_theta` keyword in [create_particles()]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "arg = np.linspace(0, np.pi / 8, num=int(1e5))\n", - "prob = np.sin(arg) * np.exp(-(arg ** 2) / 0.1 ** 2)\n", - "prob *= 1 / np.sum(prob)\n", - "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", - "\n", - "fig, ax = plt.subplots(figsize=(6, 6))\n", - "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", - "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", - "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", - "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", - "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", - "ax.set_yscale(\"log\")\n", - "ax.set_xlim(0, np.pi / 2)\n", - "ax.set_ylim(None, 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that the angular distributions are done, we will determine the energy (speed) for each particle. For this example, we will assume that the particle energy distribution is not a function of angle. We will create a Gaussian distribution of speeds with ~5% variance centered on a particle energy of 15 MeV." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "v_cent = np.sqrt(2 * 15 * u.MeV / particle.mass).to(u.m / u.s).value\n", - "v0 = np.random.normal(loc=v_cent, scale=1e6, size=int(nparticles))\n", - "v0 *= u.m / u.s\n", - "\n", - "fig, ax = plt.subplots(figsize=(6, 6))\n", - "v_per_bin, bins = np.histogram(v0.si.value, bins=100)\n", - "ax.plot(bins[1:], v_per_bin / np.sum(v_per_bin))\n", - "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", - "ax.set_xlabel(\"v0 (m/s)\", fontsize=14)\n", - "ax.set_ylabel(\"N/N$_0$\", fontsize=14)\n", - "ax.axvline(x=1.05 * v_cent, label=\"+5%\", color=\"C1\")\n", - "ax.axvline(x=0.95 * v_cent, label=\"-5%\", color=\"C2\")\n", - "ax.legend(fontsize=14, loc=\"upper right\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we will construct velocity vectors centered around the z-axis for each particle." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "vel = np.zeros([int(nparticles), 3]) * u.m / u.s\n", - "vel[:, 0] = v0 * np.sin(theta) * np.cos(phi)\n", - "vel[:, 1] = v0 * np.sin(theta) * np.sin(phi)\n", - "vel[:, 2] = v0 * np.cos(theta)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[rot_a_to_b()]: ../../api/plasmapy.formulary.mathematics.rot_a_to_b.rst#plasmapy.formulary.mathematics.rot_a_to_b\n", - "\n", - "Finally, we will use the function [rot_a_to_b()] to create a rotation matrix that will rotate the `vel` distribution so the distribution is centered about the $y$ axis instead of the $z$ axis." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "a = np.array([0, 0, 1])\n", - "b = np.array([0, 1, 0])\n", - "R = rot_a_to_b(a, b)\n", - "vel = np.matmul(vel, R)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Since the velocity vector distribution should be symmetric about the $y$ axis, we can confirm this by checking that the normalized average velocity vector is close to the $y$ unit vector." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "avg_v = np.mean(vel, axis=0)\n", - "print(avg_v / np.linalg.norm(avg_v))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Creating the Initial Particle Positions" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For this example, we will create an initial position distribution representing a laser spot centered on the source location defined above as `source`. The distribution will be cylindrical (oriented along the $y$-axis) with a uniform distribution in y and a Gaussian distribution in radius (in the xz plane). We therefore need to create distributions in $y$, $\\theta$, and $r$, and then transform those into Cartesian positions.\n", - "\n", - "Just as we previously weighted the $\\theta$ distribution with a $sin \\theta$ probability distribution to generate a uniform distribution in solid angle, we need to weight the $r$ distribution with a $r$ probability distribution so that the particles are uniformly distributed over the area of the disk." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "dy = 300 * u.um\n", - "y = np.random.uniform(\n", - " low=(source[1] - dy).to(u.m).value,\n", - " high=(source[1] + dy).to(u.m).value,\n", - " size=int(nparticles),\n", - ")\n", - "\n", - "arg = np.linspace(1e-9, 1e-3, num=int(1e5))\n", - "prob = arg * np.exp(-((arg / 3e-4) ** 2))\n", - "prob *= 1 / np.sum(prob)\n", - "r = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", - "\n", - "\n", - "theta = np.random.uniform(low=0, high=2 * np.pi, size=int(nparticles))\n", - "\n", - "x = r * np.cos(theta)\n", - "z = r * np.sin(theta)\n", - "\n", - "hist, xpos, zpos = np.histogram2d(\n", - " x * 1e6, z * 1e6, bins=[100, 100], range=np.array([[-5e2, 5e2], [-5e2, 5e2]])\n", - ")\n", - "\n", - "hist2, xpos2, ypos = np.histogram2d(\n", - " x * 1e6,\n", - " (y - source[1].to(u.m).value) * 1e6,\n", - " bins=[100, 100],\n", - " range=np.array([[-5e2, 5e2], [-5e2, 5e2]]),\n", - ")\n", - "\n", - "fig, ax = plt.subplots(ncols=2, figsize=(12, 6))\n", - "fig.subplots_adjust(wspace=0.3, right=0.8)\n", - "fig.suptitle(\"Initial Particle Position Distribution\", fontsize=14)\n", - "vmax = np.max([np.max(hist), np.max(hist2)])\n", - "\n", - "p1 = ax[0].pcolormesh(xpos, zpos, hist.T, vmax=vmax)\n", - "ax[0].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", - "ax[0].set_ylabel(\"z ($\\\\mu m$)\", fontsize=14)\n", - "ax[0].set_aspect(\"equal\")\n", - "\n", - "p2 = ax[1].pcolormesh(xpos2, ypos, hist2.T, vmax=vmax)\n", - "ax[1].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", - "ax[1].set_ylabel(\"y - $y_0$ ($\\\\mu m$)\", fontsize=14)\n", - "ax[1].set_aspect(\"equal\")\n", - "\n", - "cbar_ax = fig.add_axes([0.85, 0.2, 0.03, 0.6])\n", - "cbar_ax.set_title(\"# Particles\")\n", - "fig.colorbar(p2, cax=cbar_ax)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Finally we will combine these position arrays into an array with units." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pos = np.zeros([int(nparticles), 3]) * u.m\n", - "pos[:, 0] = x * u.m\n", - "pos[:, 1] = y * u.m\n", - "pos[:, 2] = z * u.m" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Creating a Synthetic Radiograph" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To create an example synthetic radiograph, we will first create a field grid representing the analytical electric field produced by a sphere of Gaussian potential." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a Cartesian grid\n", - "L = 1 * u.mm\n", - "grid = CartesianGrid(-L, L, num=100)\n", - "\n", - "# Create a spherical potential with a Gaussian radial distribution\n", - "radius = np.linalg.norm(grid.grid, axis=3)\n", - "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", - "potential = 6e5 * np.exp(-(arg ** 2)) * u.V\n", - "\n", - "# Calculate E from the potential\n", - "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", - "mask = radius < L / 2\n", - "Ex = -np.where(mask, Ex, 0)\n", - "Ey = -np.where(mask, Ey, 0)\n", - "Ez = -np.where(mask, Ez, 0)\n", - "\n", - "# Add those quantities to the grid\n", - "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", - "\n", - "\n", - "# Plot the E-field\n", - "fig = plt.figure(figsize=(8, 8))\n", - "ax = fig.add_subplot(111, projection=\"3d\")\n", - "ax.view_init(30, 30)\n", - "\n", - "# skip some points to make the vector plot intelligable\n", - "s = tuple([slice(None, None, 6)] * 3)\n", - "\n", - "ax.quiver(\n", - " grid.pts0[s].to(u.mm).value,\n", - " grid.pts1[s].to(u.mm).value,\n", - " grid.pts2[s].to(u.mm).value,\n", - " grid[\"E_x\"][s],\n", - " grid[\"E_y\"][s],\n", - " grid[\"E_z\"][s],\n", - " length=5e-7,\n", - ")\n", - "\n", - "ax.set_xlabel(\"X (mm)\", fontsize=14)\n", - "ax.set_ylabel(\"Y (mm)\", fontsize=14)\n", - "ax.set_zlabel(\"Z (mm)\", fontsize=14)\n", - "ax.set_xlim(-1, 1)\n", - "ax.set_ylim(-1, 1)\n", - "ax.set_zlim(-1, 1)\n", - "ax.set_title(\"Gaussian Potential Electric Field\", fontsize=14)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will then create the synthetic radiograph object. The warning filter ignores a warning that arises because $B_x$, $B_y$, $B_z$ are not provided in the grid (they will be assumed to be zero)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "with warnings.catch_warnings():\n", - " warnings.simplefilter(\"ignore\")\n", - " sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[create_particles()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.create_particles\n", - "\n", - "[load_particles()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.load_particles\n", - "\n", - "Now, instead of using [create_particles()] to create the particle distribution, we will use the [load_particles()] function to use the particles we have created above." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim.load_particles(pos, vel, particle=particle)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now the particle radiograph simulation can be run as usual." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "sim.run()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "nbsphinx-thumbnail": { - "output-index": -1, - "tooltip": "Proton Radiograph with source profile" - } - }, - "outputs": [], - "source": [ - "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", - "bins = [200, 200]\n", - "hax, vax, intensity = sim.synthetic_radiograph(size=size, bins=bins)\n", - "\n", - "fig, ax = plt.subplots(figsize=(8, 8))\n", - "plot = ax.pcolormesh(\n", - " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", - ")\n", - "cb = fig.colorbar(plot)\n", - "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", - "ax.set_aspect(\"equal\")\n", - "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", - "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", - "ax.set_title(\"Synthetic Proton Radiograph\", fontsize=14);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[synthetic_radiograph()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.synthetic_radiograph\n", - "\n", - "Calling the [synthetic_radiograph()] function with the `ignore_grid` keyword will produce the synthetic radiograph corresponding to the source profile propagated freely through space (i.e. in the absence of any grid fields)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "hax, vax, intensity = sim.synthetic_radiograph(size=size, bins=bins, ignore_grid=True)\n", - "\n", - "fig, ax = plt.subplots(figsize=(8, 8))\n", - "plot = ax.pcolormesh(\n", - " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", - ")\n", - "cb = fig.colorbar(plot)\n", - "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", - "ax.set_aspect(\"equal\")\n", - "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", - "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", - "ax.set_title(\"Source Profile\", fontsize=14)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(figsize=(6, 6))\n", - "ax.plot(hax.to(u.cm).value, np.mean(intensity, axis=0))\n", - "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", - "ax.set_ylabel(\"Mean intensity\", fontsize=14)\n", - "ax.set_title(\"Mean source profile\", fontsize=14)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.7.6" - }, - "widgets": { - "application/vnd.jupyter.widget-state+json": { - "state": {}, - "version_major": 2, - "version_minor": 0 - } - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/docs/notebooks/diagnostics/proton_radiography_particle_tracing_wire_mesh.ipynb b/docs/notebooks/diagnostics/proton_radiography_particle_tracing_wire_mesh.ipynb deleted file mode 100644 index 96cf13c789..0000000000 --- a/docs/notebooks/diagnostics/proton_radiography_particle_tracing_wire_mesh.ipynb +++ /dev/null @@ -1,391 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Synthetic Proton Radiographs with a Wire Mesh" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.add_wire_mesh\n", - "\n", - "In proton radiography experiments a wire mesh grid is often placed between the proton source and the object of interest, leaving a shadow of the grid in the proton fluence. The displacement of these shadow grid lines can then be used to quantitatively extract the line-integrated force experienced at each grid vertex.\n", - "\n", - "The [SyntheticProtronRadiography] class includes a method ([add_wire_mesh()]) that can be used to create synthetic radiographs with a mesh in place. In this example notebook we will illustrate the options available for creating and placing the mesh(s), the demonstrate the use of a mesh grid in a practical example." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import astropy.constants as const\n", - "import astropy.units as u\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import warnings\n", - "\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "from plasmapy.diagnostics import proton_radiography as prad\n", - "from plasmapy.plasma.grids import CartesianGrid" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Creating and Placing a Wire Mesh" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", - "\n", - "We will begin by creating an empty [CartesianGrid] object in which the electric and magnetic fields are zero. Particle tracing through this grid will allow us to image just the mesh once we add one in place. " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "empty_grid = CartesianGrid(-1 * u.mm, 1 * u.mm, num=50)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "[SyntheticProtronRadiography] will warn us every time we use this grid that the fields are not specified (before assuming that they are zero). The following line will silence this warning." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "warnings.simplefilter(\"ignore\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We'll also define a fixed source and detector that we won't change for the rest of the example." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", - "detector = (0 * u.mm, 200 * u.mm, 0 * u.mm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "Finally, we'll create an instance of [SyntheticProtronRadiography]." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(empty_grid, source, detector, verbose=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[SyntheticProtronRadiography]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph\n", - "\n", - "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.add_wire_mesh\n", - "\n", - "[run()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.run\n", - "\n", - "Now it's time to create the mesh. [add_wire_mesh()] takes four required parameters:\n", - "\n", - "- `location` : A vector from the grid origin to the center of the mesh.\n", - "- `extent` : The size of the mesh. If two values are given the mesh is assumed to be rectangular (extent is the width, height), but if only one is provided the mesh is assumed to be circular (extent is the diameter).\n", - "- `nwires` : The number of wires in each direction. If only one value is given, it's assumed to be the same for both directions.\n", - "- `wire_diameter` : The diameter of each wire.\n", - "\n", - "[add_wire_mesh()] works by extrapolating the positions of the particles in the mesh plane (based on their initial velocities) and removing those particles that will hit the wires. When [add_wire_mesh()] is called, the description of the mesh is stored inside the [SyntheticProtronRadiography] object. Multiple meshes can be added. The particles are then removed when the [run()] method is called." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "location = np.array([0, -2, 0]) * u.mm\n", - "extent = (1 * u.mm, 1 * u.mm)\n", - "nwires = (9, 12)\n", - "wire_diameter = 20 * u.um\n", - "sim.add_wire_mesh(location, extent, nwires, wire_diameter)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that the mesh has been created, we will run the particle tracing simulation and create a synthetic radiograph to visualize the result. We'll wrap this in a function so we can use it again later." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def run_radiograph(sim, vmax=None):\n", - " sim.create_particles(1e5, 15 * u.MeV, max_theta=8 * u.deg)\n", - " sim.run(field_weighting=\"nearest neighbor\")\n", - " h, v, i = sim.synthetic_radiograph(\n", - " size=np.array([[-1, 1], [-1, 1]]) * 2 * u.cm, bins=[200, 200]\n", - " )\n", - "\n", - " if vmax is None:\n", - " vmax = np.max(i)\n", - "\n", - " fig, ax = plt.subplots(figsize=(8, 8))\n", - " ax.pcolormesh(h.to(u.mm).value, v.to(u.mm).value, i.T, cmap=\"Blues_r\", vmax=vmax)\n", - " ax.set_aspect(\"equal\")\n", - " ax.set_xlabel(\"X (mm)\")\n", - " ax.set_ylabel(\"Y (mm)\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "run_radiograph(sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice that the distance from the source to the mesh is $10 - 2 = 8$ mm, while the distance from the mesh to the detector is $200 + 2 = 202$ mm. The magnification is therefore $M = 1 + 202/8 = 26.25$, so the $1$ mm wide mesh is $26.25$ mm wide in the image.\n", - "\n", - "Changing the `location` keyword can change both the magnification and shift the mesh center." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(empty_grid, source, detector, verbose=False)\n", - "sim.add_wire_mesh(np.array([0.5, -4, 0]) * u.mm, extent, nwires, wire_diameter)\n", - "run_radiograph(sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Setting the `extent` keyword to a single value will create a circular mesh (with a rectangular grid of wires)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(empty_grid, source, detector, verbose=False)\n", - "sim.add_wire_mesh(location, (1 * u.mm), nwires, wire_diameter)\n", - "run_radiograph(sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[add_wire_mesh()]: ../../api/plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.rst#plasmapy.diagnostics.proton_radiography.SyntheticProtonRadiograph.add_wire_mesh\n", - "\n", - "[add_wire_mesh()] has two optional keywords that can be used to change the orientation of the mesh. The first, `mesh_hdir` is a unit vector that sets the horizontal direction of the mesh plane. This can be used to effectively rotate the mesh. For example the following example will rotate the mesh by $45^\\circ$ (note that these unit vector inputs are automatically normalized)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(empty_grid, source, detector, verbose=False)\n", - "nremoved = sim.add_wire_mesh(\n", - " location, extent, nwires, wire_diameter, mesh_hdir=np.array([0.5, 0, 0.5])\n", - ")\n", - "run_radiograph(sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The second keyword argument, `mesh_vdir`, overrides the unit vector that defines the vertical direction of the mesh plane. By default this vector is set to be mutually orthogonal to `mesh_hdir` and the detector plane normal so that the mesh is parallel to the detector plane. Changing this keyword (alone or in combination with `mesh_hdir`) can be used to create a tilted mesh." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(empty_grid, source, detector, verbose=False)\n", - "nremoved = sim.add_wire_mesh(\n", - " location, extent, nwires, wire_diameter, mesh_vdir=np.array([0, 0.7, 1])\n", - ")\n", - "run_radiograph(sim)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Using a Wire Mesh in an Example Radiograph" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[CartesianGrid]: ../../api/plasmapy.plasma.grids.CartesianGrid.rst#plasmapy.plasma.grids.CartesianGrid\n", - "\n", - "To illustrate the use of a mesh in an actual example, we'll first create an example [CartesianGrid] object and fill it with the analytical electric field produced by a sphere of Gaussian potential." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a Cartesian grid\n", - "L = 1 * u.mm\n", - "grid = CartesianGrid(-L, L, num=150)\n", - "\n", - "# Create a spherical potential with a Gaussian radial distribution\n", - "radius = np.linalg.norm(grid.grid, axis=3)\n", - "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", - "potential = 2e5 * np.exp(-(arg ** 2)) * u.V\n", - "\n", - "# Calculate E from the potential\n", - "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", - "Ex = -np.where(radius < L / 2, Ex, 0)\n", - "Ey = -np.where(radius < L / 2, Ey, 0)\n", - "Ez = -np.where(radius < L / 2, Ez, 0)\n", - "\n", - "# Add those quantities to the grid\n", - "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", - "\n", - "\n", - "# Plot the E-field\n", - "fig = plt.figure(figsize=(8, 8))\n", - "ax = fig.add_subplot(111, projection=\"3d\")\n", - "ax.view_init(30, 30)\n", - "\n", - "# skip some points to make the vector plot intelligable\n", - "s = tuple([slice(None, None, 10)] * 3)\n", - "\n", - "ax.quiver(\n", - " grid.pts0[s].to(u.mm).value,\n", - " grid.pts1[s].to(u.mm).value,\n", - " grid.pts2[s].to(u.mm).value,\n", - " grid[\"E_x\"][s],\n", - " grid[\"E_y\"][s],\n", - " grid[\"E_z\"][s],\n", - " length=1e-6,\n", - ")\n", - "\n", - "ax.set_xlabel(\"X (mm)\")\n", - "ax.set_ylabel(\"Y (mm)\")\n", - "ax.set_zlabel(\"Z (mm)\")\n", - "ax.set_xlim(-1, 1)\n", - "ax.set_ylim(-1, 1)\n", - "ax.set_zlim(-1, 1)\n", - "ax.set_title(\"Gaussian Potential Electric Field\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we will create a mesh and run the particle tracing simulation" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "nbsphinx-thumbnail": { - "tooltip": "Proton Radiography with a Wire Mesh" - } - }, - "outputs": [], - "source": [ - "sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False)\n", - "sim.add_wire_mesh(location, extent, 11, wire_diameter)\n", - "sim.create_particles(3e5, 15 * u.MeV, max_theta=8 * u.deg)\n", - "run_radiograph(sim, vmax=10)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice how the vertices of the grid are displaced by the fields." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/plasmapy/diagnostics/proton_radiography.py b/plasmapy/diagnostics/charged_particle_radiography.py similarity index 79% rename from plasmapy/diagnostics/proton_radiography.py rename to plasmapy/diagnostics/charged_particle_radiography.py index 24b42b7806..a4762430cd 100644 --- a/plasmapy/diagnostics/proton_radiography.py +++ b/plasmapy/diagnostics/charged_particle_radiography.py @@ -6,7 +6,8 @@ """ __all__ = [ - "SyntheticProtonRadiograph", + "Tracker", + "synthetic_radiograph", ] import astropy.constants as const @@ -70,7 +71,7 @@ def _coerce_to_cartesian_si(pos): return pos_out -class SyntheticProtonRadiograph: +class Tracker: r""" Represents a charged particle radiography experiment with simulated or calculated E and B fields given at positions defined by a grid of spatial @@ -141,6 +142,9 @@ def __init__( # by _apply_wire_mesh self.mesh_list = [] + # This flag records whether the simulation has been run + self._has_run = False + # ************************************************************************ # Setup the source and detector geometries # ************************************************************************ @@ -347,6 +351,9 @@ def add_wire_mesh( """ + # Raise an error if the run method has already been called. + self._enforce_order() + location = _coerce_to_cartesian_si(location) wire_radius = wire_diameter.si.value / 2 @@ -556,6 +563,9 @@ def create_particles( particles to be neglected to focus computational resources on the particles who will actually hit the detector. + Parameters + ---------- + nparticles : integer The number of particles to include in the simulation. The default is 1e5. @@ -598,6 +608,9 @@ def create_particles( """ self._log("Creating Particles") + # Raise an error if the run method has already been called. + self._enforce_order() + # Load inputs self.nparticles = int(nparticles) self.particle_energy = particle_energy.to(u.eV).value @@ -653,6 +666,9 @@ def load_particles( r""" Load arrays of particle positions and velocities + Parameters + ---------- + x : `~astropy.units.Quantity`, shape (N,3) Positions for N particles @@ -680,6 +696,9 @@ def load_particles( """ + # Raise an error if the run method has already been called. + self._enforce_order() + self.q = particle.charge.to(u.C).value self.m = particle.mass.to(u.kg).value @@ -1088,11 +1107,147 @@ def run( f"{self.fract_deflected*100}%" ) + # Simulation has not run, because creating new particles changes the simulation + self._has_run = True + + @property + def results_dict(self): + r""" + A dictionary containing the results of the simulation. + + .. list-table:: Dictionary keys and descriptions. + :width: 100% + :widths: 1 1 4 + :header-rows: 1 + + * - Key + - Type + - Description + * - ``"source"`` + - `~numpy.ndarray` + - The source location vector, in meters. + * - ``"detector"`` + - `~numpy.ndarray` + - The detector location vector, in meters. + * - ``"mag"`` + - `float` + - The system magnification. + * - ``"nparticles"`` + - `int` + - Number of particles in the simulation. + * - ``"max_deflection"`` + - `~numpy.ndarray` + - The maximum deflection experienced by a particle in the + simulation, in radians. + * - ``"x"`` + - `~numpy.ndarray`, [``nparticles``,] + - The x-coordinate location where each particle hit the + detector plane, in meters. + * - ``"y"`` + - `~numpy.ndarray`, [``nparticles``,] + - The y-coordinate location where each particle hit the + detector plane, in meters. + * - ``"v"`` + - `~numpy.ndarray`, [``nparticles``, 3] + - The velocity of each particle when it hits the detector + plane, in meters per second. The velocity is in a + coordinate system relative to the detector plane. The + components are [normal, horizontal, vertical] relative + to the detector plane coordinates. + * - ``"x0"`` + - `~numpy.ndarray`, [``nparticles``,] + - The x-coordinate location where each particle would have + hit the detector plane if the grid fields were zero, in + meters. Useful for calculating the source profile. + * - ``"y0"`` + - `~numpy.ndarray`, [``nparticles``,] + - The y-coordinate location where each particle would have + hit the detector plane if the grid fields were zero, in + meters. Useful for calculating the source profile. + * - ``"v0"`` + - `~numpy.ndarray`, [``nparticles``, 3] + - The velocity of each particle when it hit the detector + plan if the grid fields were zero, in meters per second. + The velocity is in a coordinate system relative to the + detector plane. The components are [normal, horizontal, + vertical] relative to the detector plane coordinates. + + """ + + if not self._has_run: + raise RuntimeError( + "The simulation must be run before a results " + "dictionary can be created." + ) + + # Determine locations of points in the detector plane using unit + # vectors + xloc = np.dot(self.x - self.detector, self.det_hdir) + yloc = np.dot(self.x - self.detector, self.det_vdir) + + x0loc = np.dot(self.x0 - self.detector, self.det_hdir) + y0loc = np.dot(self.x0 - self.detector, self.det_vdir) + + # Determine the velocity components of each particle in the + # coordinate frame of the detector, eg. the components of v are + # now [normal, det_hdir, det_vdir] + v = np.zeros(self.v.shape) + v[:, 0] = np.dot(self.v, self.det_n) + v[:, 1] = np.dot(self.v, self.det_hdir) + v[:, 2] = np.dot(self.v, self.det_vdir) + + v0 = np.zeros(self.v.shape) + v0[:, 0] = np.dot(self.v_init, self.det_n) + v0[:, 1] = np.dot(self.v_init, self.det_hdir) + v0[:, 2] = np.dot(self.v_init, self.det_vdir) + + # Store output values in a dictionary + result_dict = dict( + source=self.source, + detector=self.detector, + mag=self.mag, + nparticles=self.nparticles, + max_deflection=self.max_deflection.to(u.rad).value, + x=xloc, + y=yloc, + v=v, + x0=x0loc, + y0=y0loc, + v0=v0, + ) + + return result_dict + + def save_results(self, path): + """ + Save the simulations results :attr:`results_dict` to a `numpy` + ``.npz`` file format (see `numpy.lib.format`) using `numpy.savez`. + + Parameters + ---------- + + path : `str` or `os.path` + Either the filename (string) or an open file (file-like object) + where the data will be saved. If file is a string or a Path, + the ``.npz`` extension will be appended to the filename if + it is not already there. + + Notes + ----- + + Useful for saving the results from a simulation so they can be + loaded at a later time and passed into + `~plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph`. + + """ + + np.savez(path, **self.results_dict) + @property def max_deflection(self): """ The maximum deflection experienced by one of the particles, determined - by comparing their initial and final velocitiy vectors. + by comparing their initial and final velocity vectors. This value can be used to determine the charged particle radiography regime using the dimensionless number defined by Kugland et al. 2012 @@ -1115,118 +1270,158 @@ def max_deflection(self): return max_deflection * u.rad - # ************************************************************************* - # Synthetic diagnostic methods (creating output) - # ************************************************************************* - - def synthetic_radiograph( - self, size=None, bins=[200, 200], ignore_grid=False, optical_density=False - ): + def _enforce_order(self): r""" - Calculate a "synthetic radiograph" (particle count histogram in the - image plane). - - Parameters - ---------- - size : `~astropy.units.Quantity`, shape (2,2) - The size of the detector array, specified as the minimum - and maximum values included in both the horizontal and vertical - directions in the detector plane coordinates. Shape is - [[hmin,hmax], [vmin, vmax]]. Units must be convertable to meters. + The `Tracker` methods could give strange results if setup methods + are used again after the simulation has run. This method + raises an error if the simulation has already been run. - bins : array of integers, shape (2) - The number of bins in each direction in the format [hbins, vbins]. - The default is [200,200]. - - ignore_grid: bool - If True, returns the intensity in the image plane in the absence - of simulated fields. + """ - optical_density: bool - If True, return the optical density rather than the intensity + if self._has_run: + raise RuntimeError( + "Modifying the `Tracker` object after running the " + "simulation is not supported. Create a new `Tracker` " + "object for a new simulation." + ) - .. math:: - OD = -log_{10}(Intensity/I_0) - where I_O is the intensity on the detector plane in the absence of - simulated fields. Default is False. +# ************************************************************************* +# Synthetic diagnostic methods (creating output) +# ************************************************************************* - Returns - ------- - hax : `~astropy.units.Quantity` array shape (hbins,) - The horizontal axis of the synthetic radiograph in meters. - vax : `~astropy.units.Quantity` array shape (vbins, ) - The vertical axis of the synthetic radiograph in meters. +def synthetic_radiograph( + obj, size=None, bins=None, ignore_grid=False, optical_density=False +): + r""" + Calculate a "synthetic radiograph" (particle count histogram in the + image plane). - intensity : ndarray, shape (hbins, vbins) - The number of particles counted in each bin of the histogram. - """ + Parameters + ---------- - # Note that, at the end of the simulation, all particles were moved - # into the image plane. + obj: `dict` or `~plasmapy.diagnostics.charged_particle_radiography.Tracker` + Either a `~plasmapy.diagnostics.charged_particle_radiography.Tracker` + object that has been run, or a dictionary equivalent to + `~plasmapy.diagnostics.charged_particle_radiography.Tracker.results_dict`. + + size : `~astropy.units.Quantity`, shape ``(2, 2)``, optional + The size of the detector array, specified as the minimum + and maximum values included in both the horizontal and vertical + directions in the detector plane coordinates. Shape is + ``((hmin, hmax), (vmin, vmax))``. If not specified, the size will be + set to include all particles on the detector. Units must be convertable + to meters. + + bins : array of integers, shape ``(2)`` + The number of bins in each direction in the format + ``(hbins, vbins)``. The default is ``(200, 200)``. + + ignore_grid: `bool` + If `True`, returns the intensity in the image plane in the absence + of simulated fields. + + optical_density: `bool` + If `True`, return the optical density rather than the intensity + + .. math:: + OD = -log_{10}(Intensity/I_0) + + where :math:`Intensity` is the simulation intensity on the + detector plane and :math:`I_0` is the intensity on the detector + plane in the absence of simulated fields. Default is `False`. + If the :math:`Intensity` histogram contains zeros, then the + corresponding values in :math:`OD` will be `numpy.inf`. When + plotting :math:`OD` the `~numpy.inf` values can be replaced + using ``numpy.nan_to_num(OD, neginf=0, posinf=0)``. + + Returns + ------- + hax : `~astropy.units.Quantity` array shape ``(hbins,)`` + The horizontal axis of the synthetic radiograph in meters. + + vax : `~astropy.units.Quantity` array shape ``(vbins, )`` + The vertical axis of the synthetic radiograph in meters. + + intensity : `~numpy.ndarray`, shape ``(hbins, vbins)`` + The number of particles counted in each bin of the histogram. + """ - # If ignore_grid is True, use the predicted positions in the absence of - # simulated fields - if ignore_grid: - x = self.x0 - else: - x = self.x + # condition `obj` input + if isinstance(obj, Tracker): + # results_dict raises an error if the simulation has not been run. + d = obj.results_dict + elif isinstance(obj, dict): + d = obj + else: + raise TypeError( + f"Expected type dict or {Tracker} for argument `obj`, but " + f"got type {type(obj)}." + ) - # Determine locations of points in the detector plane using unit - # vectors - xloc = np.dot(x - self.detector, self.det_hdir) - yloc = np.dot(x - self.detector, self.det_vdir) - - if size is None: - # If a detector size is not given, choose lengths based on the - # dimensions of the grid - w = self.mag * np.max( - [ - np.max(np.abs(self.grid.pts0.to(u.m).value)), - np.max(np.abs(self.grid.pts1.to(u.m).value)), - np.max(np.abs(self.grid.pts2.to(u.m).value)), - ] - ) + if bins is None: + bins = [200, 200] - # The factor of 5 here is somewhat arbitrary: we just want a - # region a few times bigger than the image of the grid on the - # detector, since particles could be deflected out - size = 5 * np.array([[-w, w], [-w, w]]) * u.m + # Note that, at the end of the simulation, all particles were moved + # into the image plane. - # Generate the histogram - intensity, h, v = np.histogram2d( - xloc, yloc, range=size.to(u.m).value, bins=bins + # If ignore_grid is True, use the predicted positions in the absence of + # simulated fields + if ignore_grid: + xloc = d["x0"] + yloc = d["y0"] + else: + xloc = d["x"] + yloc = d["y"] + + if size is None: + # If a detector size is not given, choose a size based on the + # particle positions + w = np.max([np.max(np.abs(xloc)), np.max(np.abs(yloc))]) + size = np.array([[-w, w], [-w, w]]) * u.m + elif not isinstance(size, u.Quantity): + raise TypeError( + "Argument `size` must be an astropy.units.Quantity object with " + "units convertable to meters." + ) + elif not size.unit.is_equivalent(u.m): + raise ValueError("Argument `size` must have units convertible to meters.") + elif size.shape != (2, 2): + raise ValueError( + f"Argument `size` must have shape (2, 2), but got {size.shape}." ) - # h, v are the bin edges: compute the centers to produce arrays - # of the right length (then trim off the extra point) - h = ((h + np.roll(h, -1)) / 2)[0:-1] - v = ((v + np.roll(v, -1)) / 2)[0:-1] - - # Throw a warning if < 50% of the particles are included on the - # histogram - percentage = np.sum(intensity) / self.nparticles - if percentage < 0.5: - warnings.warn( - f"Only {percentage:.2%} of the particles are shown " - "on this synthetic radiograph. Consider increasing " - "the size to include more.", - RuntimeWarning, - ) - - if optical_density: - # Generate the null radiograph - x, y, I0 = self.synthetic_radiograph(size=size, bins=bins, ignore_grid=True) + # Generate the histogram + intensity, h, v = np.histogram2d(xloc, yloc, range=size.to(u.m).value, bins=bins) + + # h, v are the bin edges: compute the centers to produce arrays + # of the right length (then trim off the extra point) + h = ((h + np.roll(h, -1)) / 2)[:-1] + v = ((v + np.roll(v, -1)) / 2)[:-1] + + # Throw a warning if < 50% of the particles are included on the + # histogram + percentage = np.sum(intensity) / d["nparticles"] + if percentage < 0.5: + warnings.warn( + f"Only {percentage:.2%} of the particles are shown " + "on this synthetic radiograph. Consider increasing " + "the size to include more.", + RuntimeWarning, + ) - # Calculate I0 as the mean of the non-zero values in the null - # histogram. Zeros are just outside of the illuminate area. - I0 = np.mean(I0[I0 != 0]) + if optical_density: + # Generate the null radiograph + x, y, I0 = synthetic_radiograph(obj, size=size, bins=bins, ignore_grid=True) - # Overwrite any zeros in intensity to avoid log10(0) - intensity[intensity == 0] = 1 + # Calculate I0 as the mean of the non-zero values in the null + # histogram. Zeros are just outside of the illuminate area. + I0 = np.mean(I0[I0 != 0]) - # Calculate the optical_density + # Calculate the optical_density + # ignore any errors resulting from zero values in intensity + with np.errstate(divide="ignore"): intensity = -np.log10(intensity / I0) - return h * u.m, v * u.m, intensity + return h * u.m, v * u.m, intensity diff --git a/plasmapy/diagnostics/tests/test_proton_radiography.py b/plasmapy/diagnostics/tests/test_charged_particle_radiography.py similarity index 72% rename from plasmapy/diagnostics/tests/test_proton_radiography.py rename to plasmapy/diagnostics/tests/test_charged_particle_radiography.py index 32b8ff7677..af8d6cc01c 100644 --- a/plasmapy/diagnostics/tests/test_proton_radiography.py +++ b/plasmapy/diagnostics/tests/test_charged_particle_radiography.py @@ -5,12 +5,13 @@ import astropy.constants as const import astropy.units as u import numpy as np +import os import pytest import warnings from scipy.special import erf -from plasmapy.diagnostics import proton_radiography as prad +from plasmapy.diagnostics import charged_particle_radiography as cpr from plasmapy.plasma.grids import CartesianGrid @@ -147,13 +148,13 @@ def run_1D_example(name): with pytest.warns( RuntimeWarning, match="Fields should go to zero at edges of grid to avoid " ): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e4, 3 * u.MeV, max_theta=0.1 * u.deg) sim.run() size = np.array([[-1, 1], [-1, 1]]) * 10 * u.cm bins = [200, 60] - hax, vax, values = sim.synthetic_radiograph(size=size, bins=bins) + hax, vax, values = cpr.synthetic_radiograph(sim, size=size, bins=bins) values = np.mean(values[:, 20:40], axis=1) @@ -181,7 +182,7 @@ def run_mesh_example( source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.add_wire_mesh( location, @@ -223,17 +224,17 @@ def test_coordinate_systems(): # Cartesian source = (-7.07 * u.mm, -7.07 * u.mm, 0 * u.mm) detector = (70.07 * u.mm, 70.07 * u.mm, 0 * u.mm) - sim1 = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=True) + sim1 = cpr.Tracker(grid, source, detector, verbose=True) # Cylindrical source = (-1 * u.cm, 45 * u.deg, 0 * u.mm) detector = (10 * u.cm, 45 * u.deg, 0 * u.mm) - sim2 = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim2 = cpr.Tracker(grid, source, detector, verbose=False) # In spherical source = (-0.01 * u.m, 90 * u.deg, 45 * u.deg) detector = (0.1 * u.m, 90 * u.deg, 45 * u.deg) - sim3 = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim3 = cpr.Tracker(grid, source, detector, verbose=False) assert np.allclose(sim1.source, sim2.source, atol=1e-2) assert np.allclose(sim2.source, sim3.source, atol=1e-2) @@ -261,13 +262,13 @@ def test_input_validation(): Ex[0, 0, 0] = np.nan * u.V / u.m grid.add_quantities(E_x=Ex) with pytest.raises(ValueError): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) Ex[0, 0, 0] = 0 * u.V / u.m Ex[0, 0, 0] = np.inf * u.V / u.m # Reset element for the rest of the tests grid.add_quantities(E_x=Ex) with pytest.raises(ValueError): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) Ex[0, 0, 0] = 0 * u.V / u.m # Check what happens if a value is large realtive to the rest of the array @@ -275,7 +276,7 @@ def test_input_validation(): grid.add_quantities(E_x=Ex) # with pytest.raises(ValueError): with pytest.warns(RuntimeWarning): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) Ex[0, 0, 0] = 0 * u.V / u.m # Raise error when source-to-detector vector doesn't pass through the @@ -283,26 +284,24 @@ def test_input_validation(): source_bad = (10 * u.mm, -10 * u.mm, 0 * u.mm) detector_bad = (10 * u.mm, 100 * u.mm, 0 * u.mm) with pytest.raises(ValueError): - sim = prad.SyntheticProtonRadiograph( - grid, source_bad, detector_bad, verbose=False - ) + sim = cpr.Tracker(grid, source_bad, detector_bad, verbose=False) # Test raises warning when one (or more) of the required fields is missing grid_bad = CartesianGrid(-1 * u.mm, 1 * u.mm, num=50) with pytest.warns(RuntimeWarning, match="is not specified for the provided grid."): - sim = prad.SyntheticProtonRadiograph(grid_bad, source, detector, verbose=True) + sim = cpr.Tracker(grid_bad, source, detector, verbose=True) # ************************************************************************ # During create_particles # ************************************************************************ - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e3, 15 * u.MeV, max_theta=0.99 * np.pi / 2 * u.rad) # ************************************************************************ # During runtime # ************************************************************************ - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e3, 15 * u.MeV) # Test an invalid field weighting keyword @@ -321,7 +320,7 @@ def test_input_validation(): RuntimeWarning, match="of the particles are shown on this synthetic radiograph." ): size = np.array([[-1, 1], [-1, 1]]) * 1 * u.mm - hax, vax, values = sim.synthetic_radiograph(size=size) + hax, vax, values = cpr.synthetic_radiograph(sim, size=size) def test_init(): @@ -331,24 +330,22 @@ def test_init(): source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) # Test manually setting hdir and vdir hdir = np.array([1, 0, 1]) - sim = prad.SyntheticProtonRadiograph( - grid, source, detector, verbose=False, detector_hdir=hdir - ) + sim = cpr.Tracker(grid, source, detector, verbose=False, detector_hdir=hdir) # Test special case hdir == [0,0,1] source = (0 * u.mm, 0 * u.mm, -10 * u.mm) detector = (0 * u.mm, 0 * u.mm, 200 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) assert all(sim.det_hdir == np.array([1, 0, 0])) # Test that hdir is calculated correctly if src-det axis is anti-parallel to z source = (0 * u.mm, 0 * u.mm, 10 * u.mm) detector = (0 * u.mm, 0 * u.mm, -200 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) assert all(sim.det_hdir == np.array([1, 0, 0])) @@ -359,7 +356,7 @@ def test_create_particles(): source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles( 1e3, 15 * u.MeV, max_theta=0.1 * u.rad, distribution="monte-carlo" @@ -382,7 +379,7 @@ def test_load_particles(): source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e3, 15 * u.MeV, max_theta=0.1 * u.rad, distribution="uniform") # Test adding unequal numbers of particles @@ -413,13 +410,14 @@ def test_run_options(): # Cartesian source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=True) + sim = cpr.Tracker(grid, source, detector, verbose=True) # Test that trying to call run() without creating particles # raises an exception with pytest.raises(ValueError): sim.run() + sim = cpr.Tracker(grid, source, detector, verbose=True) sim.create_particles(1e4, 3 * u.MeV, max_theta=10 * u.deg) # Try running with nearest neighbor interpolator @@ -430,6 +428,7 @@ def test_run_options(): sim.max_deflection # Test way too big of a max_theta + sim = cpr.Tracker(grid, source, detector, verbose=True) sim.create_particles(1e4, 3 * u.MeV, max_theta=89 * u.deg) with pytest.warns(RuntimeWarning, match="of " "particles entered the field grid"): sim.run(field_weighting="nearest neighbor", dt=1e-12 * u.s) @@ -445,7 +444,7 @@ def test_run_options(): with pytest.warns( RuntimeWarning, match="Fields should go to zero at edges of grid to avoid " ): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e4, 3 * u.MeV, max_theta=0.1 * u.deg) with pytest.warns( RuntimeWarning, @@ -459,26 +458,200 @@ def test_run_options(): assert 0 < sim.max_deflection.to(u.rad).value < np.pi / 2 -@pytest.mark.slow -def test_synthetic_radiograph(): - +def create_tracker_obj(): # CREATE A RADIOGRAPH OBJECT grid = _test_grid("electrostatic_gaussian_sphere", num=50) source = (0 * u.mm, -10 * u.mm, 0 * u.mm) detector = (0 * u.mm, 200 * u.mm, 0 * u.mm) - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) - sim.create_particles(1e4, 3 * u.MeV, max_theta=10 * u.deg) + sim = cpr.Tracker(grid, source, detector, verbose=False) + sim.create_particles(int(1e4), 3 * u.MeV, max_theta=10 * u.deg) + return sim + + +tracker_obj_simulated = create_tracker_obj().run(field_weighting="nearest neighbor") + + +@pytest.mark.slow +class TestSyntheticRadiograph: + """ + Tests for + `plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph`. + """ + + tracker_obj_not_simulated = create_tracker_obj() + tracker_obj_simulated = create_tracker_obj() + tracker_obj_simulated.run(field_weighting="nearest neighbor") + sim_results = tracker_obj_simulated.results_dict.copy() + + @pytest.mark.parametrize( + "args, kwargs, _raises", + [ + # obj wrong type + ((5,), {}, TypeError), + # size wrong type + ((tracker_obj_simulated,), {"size": "not a Quantity"}, TypeError), + # size not convertible to meters + ((sim_results,), {"size": 5 * u.ms}, ValueError), + # size wrong shape + ((sim_results,), {"size": [-1, 1] * u.cm}, ValueError), + # simulation was never run + ((tracker_obj_not_simulated,), {}, RuntimeError), + ], + ) + def test_raises(self, args, kwargs, _raises): + """Test scenarios the raise an Exception.""" + with pytest.raises(_raises): + cpr.synthetic_radiograph(*args, **kwargs) + + def test_warns(self): + """ + Test warning when less than half the particles reach the detector plane. + """ + sim_results = self.sim_results.copy() + sim_results["nparticles"] = 3 * sim_results["nparticles"] + with pytest.warns(RuntimeWarning): + cpr.synthetic_radiograph(sim_results) + + @pytest.mark.parametrize( + "args, kwargs, expected", + [ + ( + # From a Tracker object + (tracker_obj_simulated,), + {}, + { + "xrange": [-0.036934532101889815, 0.03702186098974771] * u.m, + "yrange": [-0.03697401811598356, 0.037007901161403144] * u.m, + "bins": (200, 200), + }, + ), + ( + # From a dict + (sim_results,), + {}, + { + "xrange": [-0.036934532101889815, 0.03702186098974771] * u.m, + "yrange": [-0.03697401811598356, 0.037007901161403144] * u.m, + "bins": (200, 200), + }, + ), + ( + # From a dict + (sim_results,), + {"size": np.array([[-1, 1], [-1, 1]]) * 30 * u.cm, "bins": (200, 60)}, + { + "xrange": [-0.3, 0.3] * u.m, + "yrange": [-0.3, 0.3] * u.m, + "bins": (200, 60), + }, + ), + ], + ) + def test_intensity_histogram(self, args, kwargs, expected): + """Test several valid use cases.""" + results = cpr.synthetic_radiograph(*args, **kwargs) + + assert len(results) == 3 + + x = results[0] + assert isinstance(x, u.Quantity) + assert x.unit == u.m + assert x.shape == (expected["bins"][0],) + assert np.isclose(np.min(x), expected["xrange"][0], rtol=1e4) + assert np.isclose(np.max(x), expected["xrange"][1], rtol=1e4) + + y = results[1] + assert isinstance(y, u.Quantity) + assert y.unit == u.m + assert y.shape == (expected["bins"][1],) + assert np.isclose(np.min(y), expected["yrange"][0], rtol=1e4) + assert np.isclose(np.max(y), expected["yrange"][1], rtol=1e4) + + histogram = results[2] + assert isinstance(histogram, np.ndarray) + assert histogram.shape == expected["bins"] + + def test_optical_density_histogram(self): + """ + Test the optical density calculation is correct and stuffed + with numpy.inf when the intensity is zero. + """ + bins = (200, 60) + size = np.array([[-1, 1], [-1, 1]]) * 30 * u.cm + + intensity_results = cpr.synthetic_radiograph( + self.sim_results, size=size, bins=bins + ) + od_results = cpr.synthetic_radiograph( + self.sim_results, size=size, bins=bins, optical_density=True + ) + + assert np.allclose(intensity_results[0], od_results[0]) + assert np.allclose(intensity_results[1], od_results[1]) + + intensity = intensity_results[2] + zero_mask = intensity == 0 + i0 = np.mean(intensity[~zero_mask]) + od = -np.log10(intensity / i0) + + assert np.allclose(od[~zero_mask], od_results[2][~zero_mask]) + assert np.all(np.isposinf(od_results[2][zero_mask])) + + +def test_saving_output(tmp_path): + """Test behavior of Tracker.save_results.""" + + sim = create_tracker_obj() + + # Test that output cannot be saved prior to running + with pytest.raises(RuntimeError): + _ = sim.results_dict + sim.run(field_weighting="nearest neighbor") - size = np.array([[-1, 1], [-1, 1]]) * 30 * u.cm - bins = [200, 60] + results_1 = sim.results_dict - # Test size is None, default bins - h, v, i = sim.synthetic_radiograph() + # Save result + path = os.path.join(tmp_path, "temp.npz") + sim.save_results(path) + + # Load result + results_2 = dict(np.load(path, "r", allow_pickle=True)) + + assert set(results_1.keys()) == set(results_2.keys()) + for key in results_1.keys(): + assert np.allclose(results_1[key], results_2[key]) + + +@pytest.mark.parametrize( + "case", + ["creating particles", "loading particles", "adding a wire mesh"], +) +def test_cannot_modify_simulation_after_running(case): + """ + Test that a Tracker objection can not be modified after it is + run (Tracker.run). + """ + + sim = create_tracker_obj() + sim.run(field_weighting="nearest neighbor") - # Test optical density - h, v, i = sim.synthetic_radiograph(size=size, bins=bins, optical_density=True) + # Error from creating particles + with pytest.raises(RuntimeError): + if case == "creating particles": + sim.create_particles(1e4, 3 * u.MeV, max_theta=10 * u.deg) + elif case == "loading particles": + sim.load_particles(sim.x, sim.v) + elif case == "adding a wire mesh": + sim.add_wire_mesh( + np.array([0, -2, 0]) * u.mm, + (2 * u.mm, 1.5 * u.mm), + 9, + 20 * u.um, + ) + else: + pytest.fail(f"Unrecognized test case '{case}'.") @pytest.mark.slow @@ -520,14 +693,14 @@ def test_gaussian_sphere_analytical_comparison(): with pytest.warns( RuntimeWarning, match="Fields should go to zero at edges of grid to avoid " ): - sim = prad.SyntheticProtonRadiograph(grid, source, detector, verbose=False) + sim = cpr.Tracker(grid, source, detector, verbose=False) sim.create_particles(1e3, W * u.eV, max_theta=12 * u.deg) sim.run() size = np.array([[-1, 1], [-1, 1]]) * 4 * u.cm bins = [100, 100] - h, v, i = sim.synthetic_radiograph(size=size, bins=bins) + h, v, i = cpr.synthetic_radiograph(sim, size=size, bins=bins) h = h.to(u.mm).value / sim.mag v = v.to(u.mm).value / sim.mag r0 = h @@ -642,7 +815,7 @@ def test_add_wire_mesh(): # Expect a warning because many particles are off the radiograph # (Chose max_theta so corners are covered) with pytest.warns(RuntimeWarning): - h, v, i = sim.synthetic_radiograph(size=size, bins=bins) + h, v, i = cpr.synthetic_radiograph(sim, size=size, bins=bins) # Sum up the vertical direction line = np.sum(i, axis=1) @@ -702,5 +875,6 @@ def test_add_wire_mesh(): test_synthetic_radiograph() test_add_wire_mesh() test_gaussian_sphere_analytical_comparison() + test_cannot_modify_simulation_after_running() """ pass diff --git a/setup.cfg b/setup.cfg index 556cdda2b2..3983f09724 100644 --- a/setup.cfg +++ b/setup.cfg @@ -203,7 +203,7 @@ enable-extensions = per-file-ignores = plasmapy/formulary/__init__.py:F403 plasmapy/__init__.py:FS003 - plasmapy/diagnostics/proton_radiography.py:FS003 + plasmapy/diagnostics/charged_particle_radiography.py:FS003 [coverage:run] omit =