Task2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:09.717570Z",
     "start_time": "2021-04-05T16:08:08.971566Z"
    }
   },
   "outputs": [],
   "source": [
    "from math import pi, exp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 2: Astrophysical Absorption Line Exercise\n",
    "***\n",
    "Next task is to generate a spectrum of light after it has passed through a slab of gas, and\n",
    "investigate the Lyman α absorption line of hydrogen. The part below shows how you can\n",
    "calculate a spectrum and the necessary information to complete the 3 subtasks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Providing constant features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:09.733528Z",
     "start_time": "2021-04-05T16:08:09.720562Z"
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    "code_folding": []
   },
   "outputs": [],
   "source": [
    "# gas slab properties\n",
    "nH = 0.1 \n",
    "x = 0.1\n",
    "# hydrogen properties\n",
    "v0 = 2.46607e15\n",
    "L = 6.265e8\n",
    "f = 0.4164\n",
    "g0 = 2.0\n",
    "Z = 2.0\n",
    "# physical constants\n",
    "me = 9.11e-28\n",
    "c = 3.00e10\n",
    "e = 4.80e-10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Methods for calculations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:09.779404Z",
     "start_time": "2021-04-05T16:08:09.737516Z"
    },
    "code_folding": [
     0
    ]
   },
   "outputs": [],
   "source": [
    "def calculate_absorption_coeff(v, v0):\n",
    "    first = (e ** 2 * f  * nH) / (4 * pi * me * c)\n",
    "    second = ((1 - x) * g0) / (Z)\n",
    "    third = (L) / ((v - v0) ** 2 + (L / 4 * pi) ** 2)\n",
    "    \n",
    "    absorption_coeff = first * second * third\n",
    "    return absorption_coeff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:09.795361Z",
     "start_time": "2021-04-05T16:08:09.782398Z"
    },
    "code_folding": [
     0
    ]
   },
   "outputs": [],
   "source": [
    "def calculate_intensity(d, wavelength, v0):\n",
    "    # using v = c / wavelength formula\n",
    "    v = c / wavelength\n",
    "    # calculating absorption coefficent \n",
    "    absorption_coeff = calculate_absorption_coeff(v, v0)\n",
    "    # calculate intensity with absorption coefficient\n",
    "    intensity = exp(-absorption_coeff * d)\n",
    "    return intensity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Method for generating and plotting spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:09.811320Z",
     "start_time": "2021-04-05T16:08:09.798353Z"
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   "outputs": [],
   "source": [
    "# Reference: https://en.wikipedia.org/wiki/Lyman-alpha_line\n",
    "# I have read that page and decided to pick wavelength start in 1200\n",
    "def plot_spectrum(d, v0, wavelength_start=1200, wavelength_end=1240, num=100000):\n",
    "    # generate wavelengths with np.linspace\n",
    "    wavelengths = np.linspace(wavelength_start, wavelength_end, num)\n",
    "    # store the intensities that we're going to calculate\n",
    "    intensities = []\n",
    "    # calculate intensities for certain wavelength \n",
    "    for wavelength in wavelengths:\n",
    "        # we're going to use  wavelength / 10 ** 8 because \n",
    "        # we want to represent our wavelength in Angstrom.\n",
    "        intensities.append(calculate_intensity(d, wavelength / 10 ** 8, v0))\n",
    "    \n",
    "    # plotting\n",
    "    fig, ax = plt.subplots(figsize=(8, 8))\n",
    "    ax.plot(wavelengths, intensities)\n",
    "    plt.title(\"Light Intensity vs Wavelength\")\n",
    "    plt.xlabel(\"Wavelengths (Angstrom)\")\n",
    "    plt.xticks(np.arange(wavelength_start, wavelength_end, 2), rotation=90)\n",
    "    plt.ylabel(\"Intensities\")\n",
    "    plt.grid()\n",
    "    \n",
    "    # find minimum intensity of plotting\n",
    "    min_intesity = min(intensities)\n",
    "    index_min_intesity = intensities.index(min_intesity)\n",
    "    # find wavelength that created minimum intensity\n",
    "    min_intensity_wavelength = wavelengths[index_min_intesity]\n",
    "    \n",
    "    # Print-out some information.\n",
    "    print(\"Minimum intensity: {0}\".format(min_intesity))\n",
    "    print(\"Minimum insensity's wavelength: {0}\".format(min_intensity_wavelength))\n",
    "    print(\"d: {0} \\t v0: {1}\".format(d, v0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Subtask 2.1\n",
    "---\n",
    "\n",
    "We need to generate spectrum with:  \n",
    "d equals $ 10^{14}, 10^{18}, 10^{21} $ and   \n",
    "v0 equals $ 2.46607 * 10 ^ {15} $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:10.669028Z",
     "start_time": "2021-04-05T16:08:09.814313Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 6.673493654441234e-26\n",
      "Minimum insensity's wavelength: 1216.510565105651\n",
      "d: 1000000000000000.0 \t v0: 2466070000000000.0\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_list = [10e14, 10e18, 10e21]\n",
    "plot_spectrum(d_list[0], v0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:11.459914Z",
     "start_time": "2021-04-05T16:08:10.672018Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 0.0\n",
      "Minimum insensity's wavelength: 1216.5033650336504\n",
      "d: 1e+19 \t v0: 2466070000000000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_spectrum(d_list[1], v0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:12.248802Z",
     "start_time": "2021-04-05T16:08:11.463900Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 0.0\n",
      "Minimum insensity's wavelength: 1216.2837628376283\n",
      "d: 1e+22 \t v0: 2466070000000000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_spectrum(d_list[2], v0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Subtask 2.2\n",
    "---\n",
    "\n",
    "We need to generate spectrum with:  \n",
    "d equals $ 10^{14}, 10^{18}, 10^{21} $ and   \n",
    "v0 equals $ 2.46632 * 10 ^ {15} $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:13.214221Z",
     "start_time": "2021-04-05T16:08:12.251792Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 7.887566410202593e-18\n",
      "Minimum insensity's wavelength: 1216.3873638736388\n",
      "d: 1000000000000000.0 \t v0: 2466320000000000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v0_new = 2.46632e15\n",
    "plot_spectrum(d_list[0], v0_new)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:14.230502Z",
     "start_time": "2021-04-05T16:08:13.218209Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 0.0\n",
      "Minimum insensity's wavelength: 1216.380163801638\n",
      "d: 1e+19 \t v0: 2466320000000000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_spectrum(d_list[1], v0_new)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-04-05T16:08:15.033356Z",
     "start_time": "2021-04-05T16:08:14.233495Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum intensity: 0.0\n",
      "Minimum insensity's wavelength: 1216.160561605616\n",
      "d: 1e+22 \t v0: 2466320000000000.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_spectrum(d_list[2], v0_new)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Task 2.3 Commenting "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Actually all graphics has 0 intensity. There is some very very very little values in some plottings but we can assume that they are 0. \n",
    "\n",
    "\n",
    "* All graphs has same shape.\n",
    "\n",
    "\n",
    "* All graphs minimum intensity in specific wavelength and that that wavelength is 1216 Angstrom.\n",
    "\n",
    "\n",
    "* When v0 = 2.46632e15 graphics tend to be get 0 intensity faster than v0 = v0 = 2.46607e15 value.\n",
    "\n",
    "\n",
    "* When d increased more light gets absorbed.\n",
    "\n",
    "\n",
    "* Lastly, understanding and proofing that Lyman alpha lines was interesting for me. I was scared at the beginning but now I can even comment about it.\n",
    "\n"
   ]
  }
 ],
 "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"
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  "latex_envs": {
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   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
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