Impact parameters - spectrum.ipynb 152 KB
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Impact of the parameters: Spectrum\n",
    "\n",
    "Here is studied a more realistic case:\n",
    "* z=0.1\n",
    "* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
    "* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
    "* EBL model: Dominguez\n",
    "\n",
    "This part shows the impact on spectrum if we play with the different parameters.\n",
    "\n",
    "#### Emax\n",
    "* if Emax < Ecut (10TeV) => Ecut = Emax\n",
    "* else no impact"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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106hn06aMOiJElm2xPFsd9vvDypt0Sdrc3JS7jz8xNKl6OoXx2AyLep60bEyF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\ndXU1ubm5pKens337dlauXNnuq6B09MOZbfVdXV3dcHWWE2/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MfmZmg5o5z2Rglrt/F/he\nF4+5Vd3xZ6PO9NGeY6PwJ7BUyTMKWYLyDClVsuxsP6GkSp5RyBKUZ0jdNYaO9qN/62H7iNJrM+GF\nurtvAg6csHsksMvdd7v7F8AqoMTdn3b3O939L2bW38wWAUWxGfd/Am43s4XAR936Q5wgVV6A8bTd\nvXt3h8cRagyJ7iPUP+juyDKecSS6j2TKM1WyjKet8kyu12Y840h0H8mUZ08q1FMlzyi8NkOIxOUZ\nzWwY8Ct3Hx7bvgoY7+43x7avB0a5+/QAfSX+BxYRERGRHsFT8PKMXVZMdyYsEREREZHukvClLy34\nGBjSaHsIUJGgsYiIiIiIdLuoFupvAmea2TAzSwcmAr9M8JhERERERLpNwgt1M3sG2AJ81cz2mNlN\n7v43YBrwCvAn4Fl3fz+R4xQRERER6U6R+DCpiIiIiIg0lfAZdREREREROZkKdcDMzjKzhWb2vJlN\nSfR4kp2ZlZjZP5jZKjMbl+jxJDszO93MlpjZ84keSzIzs0wzWxZ7bU5K9HiSnV6X4eh3Zlh6Tw8r\n9rvzDTNL6JdJpgIzG2tmm2Kvz0viOkZLX44zszRgmbvfkOixpAIzywH+t7v/ONFjSQVm9ry7/7dE\njyNZmdkNwH53X2dmq9z9mkSPKRXodRmOfmeGpff0MMxsNnAYeN/d1yV6PMnMzC4G7gE+AR509w/b\nOialZtTN7EkzqzSzP56wf4KZ/auZfRD7FtPmjv2vwEvAr7tjrMmgM3nG3Ac83rWjTB4B8pQTtDPT\n04A9sfvHunWgSUKv0XA6mKV+Z7agvXnqPb1l7cky9heePwF7EzHWZNDO1+Ymd/8v1BXrs+M5f0oV\n6sBSYELjHWZ2CnW/+CYAXwOuNbOzzewGM/uZmQ0CcPdfxcK7rrsHHWEdytPqPAy87O7vdP+wI6vD\nr09pUdyZUvddDPXfz5Bqv/tCaU+e0rr2/HvX78y2teu1qff0VrUny0uA84FJwM1mpi+NPFncefrx\nZSxVQEY8J4/qN5N2iLtvMrNhJ+weCexy990AZrYKKHH3ucDTsX2XAFdQF5r+rBPTiTxvB74L9DWz\n/+Tui7tt0BHWiTz7Aw8BRWZW5u4Pd9ugI649mQKPAY9b3TpLfS9DM9qTp5lVotdli9r52vw79Duz\nVe18beaj9/QWtfO96L7Y9o3A3kaFpsS087V5FjAeyAF+Hs/5U6pQb0HjP3dD3azaqMYN3H0jsLE7\nB5XE4snzMeqKImlbPHnuB/SBqPg1m6m7/xX4YWKGlNRaylOvy/ZrKcvpxPmmLU20lKfe09uv1fci\nd1/W7SNKbi29NucCa9pzop7w51/9319YyjMs5RmeMg1LeYajLMNSnuEoy7CC5dkTCvWPOb4uldj9\nigSNJRUoz7CUZ3jKNCzlGY6yDEt5hqMswwqWZ08o1N8EzjSzYWaWDkxE61M7Q3mGpTzDU6ZhKc9w\nlGVYyjMcZRlWsDxTqlA3s2eALcBXzWyPmd3k7n8DpgGvUHeJoWfd/f1EjjNZKM+wlGd4yjQs5RmO\nsgxLeYajLMPq6jz1hUciIiIiIhGUUjPqIiIiIiKpQoW6iIiIiEgEqVAXEREREYkgFeoiIiIiIhGk\nQl1EREREJIJUqIuIiIiIRJAKdRERERGRCFKhLiIiHRL71r3/MLO3Gu0rMLOVZvahmb1pZlvMrLSN\n83xoZl89Yd+jZvYTM7vQzP5kZn/sqp9DRCSqVKiLiPRQZtYrwGl2ufs3Y+czYC2wwd3PcPfzgGuA\nwW2cY1WsXf240oArgWfc/XfAZQHGKSKSdFSoi4gkATO73sy2mdnbZrYoVsxiZtVm9vdm9o6ZvW5m\n+bH9A81stZltj93GxPY/YGZPm9nvgGVmNsDM/tnM3jWzJ8xst5nlmdlsM7ujUf8PmtntbQzzO8BR\nd/+H+h3u/v/c/fHYOU4xs/8VG88fzOyWWLNngImNznMx8O/uvqe++44nJyKSvFSoi4hEnJmdDVwN\njHH3EUAtcF3s4T7A6+5eBLwG3Bzb/3+An7n7SOAqYEmjU54FfNfdrwMeAH7j7ucAq4GhgANPAv89\n1n8adYX0020M9evAW608/iOgKjamkcDNZvZld38XqDWzc2PtrgFWttGXiEjKC/FnTxER6VrfBb4F\nvFm3uoTewCexx2rcfV3s/u+BcbH7fwecHWsPkG1mmdQV4b9096Ox/RcApQDu/oqZHYjd/3cz+8zM\nioBC4C13P9DGOL3xhpk9DlwYG+NIoBgYbmZXxZr0Bc4E/p26WfVrzOw9oAS4v+1YRERSmwp1EZHk\nsMzd/2cz+79odL+W47/XDRjl7jWNG8cK97+ecI6WlpYsAW4CCqibYW/Le9StLQfA3aeZWR7wZqM2\n09z9n5s5dhWwHtgI7HD3vXH0JyKS0rT0RUQk+v4FuMrMBgKYWX8zG9rGMeuBhjXlZvaNFtptpm5Z\nDWZWDOQ2emwNMAE4D3ilrUG6+2+BL5nZlEa7MxvdfwWYWv8hVjP7qpn1iR37b8A+YC5a9iIiAqhQ\nFxGJPHd/H7gPWG9mf6CuCC+sf7hx00bbtwPnxT60+R7wP05oV282UBy7/OFV1C2pORzr9wvgt8Bz\n7t5kWUsrSoFLzOzfzGwbUA78JPbYEuBPwFux/hbS9C+7zwD/GXgxzr5ERFKaxf+7V0REUo2ZpQPH\n3P2YmY0G/m+jyy2mUbfu/Sp3/7CZY4cBv3L34V08xm7pR0QkajSjLiLSsw0F3jCzd6i7UszNAGb2\nNeAD6q4Ic1KRHvM3oF/jLzwKzcwuAn4JaM26iPQ4mlEXEREREYkgzaiLiIiIiESQCnURERERkQhS\noS4iIiIiEkEq1EVEREREIkiFuoiIiIhIBP1/Q2kOPhGbTEgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0ec086890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xmagXFhYiKyuLNW0a6KgNNKvzFh/aW4wcMp/NrgaqSGmrAbeKpb166KayjtZJ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\nIIM6AABMkEEdAAAmyKAOAAAT9P8AE8gS3RVbmDYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0ec0867d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f/epX/PrXvw4979577+WPf/wju3bt4rzzzmPGjBn4fL7Qcw8dOkRGRgazZ8/m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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0cbd1d4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jlqIf6KgDAJAoOurFUMT+Oh317tBRBwAAAAqIQR250GWLQ5axyDMWecYhy1jk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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0cbd21990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qXT2oT24fVPuAnbiDNasdkFnt+UaG7qkG1au8Xo58SKMfrsOgnuz5GNQBdLUq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\nQj0iIiIiooH+BvC0cml3WRmMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0cba17490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.spectrum\n",
    "\n",
    "modules.spectrum.drawSpectrum([\"Gamma=1\",\"Gamma=1.5\",\"Gamma=2\",\"Gamma=2.5\"],plot=\"generation\")\n",
    "\n",
    "modules.spectrum.drawSpectrum([\"Emax=10TeV\",\"Emax=50TeV\",\"Emax=100TeV\",\"Emax=500TeV\",\"Emax=1000TeV\"])\n",
    "modules.spectrum.drawSpectrum([\"Dominguez\",\"Franceschini\",\"Finke\",\"Gilmore\",\"Kneiske 'best fit'\",\"Kneiske 'lower limit'\"])\n",
    "modules.spectrum.drawSpectrum([\"z=0.0308\",\"z=0.1\",\"z=1\"])\n",
    "modules.spectrum.drawSpectrum([\"EGMF10\",\"EGMF13\",\"EGMF15\",\"EGMF18\"])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}