Extragalactic Gamma-Ray Bkg.ipynb 75.3 KB
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Emissivity (ph/MeV/cm^2/s/sr/bin-z) as a function of redshift and Observed Energy (MeV)\n",
    "* First line are Energies in MeV \n",
    "* First element of each subsequent line is the REDSHIFT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Emin: \t0.0001074077 TeV\n",
      "redshift\t Emax (TeV)\n",
      "0.001168203  \t107.4077\n",
      "0.001561193  \t107.4077\n",
      "0.002086388  \t107.4077\n",
      "0.002788261  \t107.4077\n",
      "0.003726248  \t107.4077\n",
      "0.00497978  \t107.4077\n",
      "0.006655007  \t107.4077\n",
      "0.008893791  \t107.4077\n",
      "0.01188571  \t107.4077\n",
      "0.01588414  \t107.4077\n",
      "0.02122766  \t107.4077\n",
      "0.02836876  \t107.4077\n",
      "0.03791218  \t107.4077\n",
      "0.05066606  \t107.4077\n",
      "0.06771043  \t107.4077\n",
      "0.09048861  \t107.4077\n",
      "0.1209295  \t107.4077\n",
      "0.1616109  \t107.4077\n",
      "0.2159778  \t107.4077\n",
      "0.288634  \t107.4077\n",
      "0.3857321  \t61.80667\n",
      "0.5154947  \t40.83526\n",
      "0.6889101  \t26.97959\n",
      "0.9206635  \t20.46611\n",
      "1.23038  \t15.52513\n",
      "1.644287  \t11.77702\n",
      "2.197435  \t8.933782\n",
      "2.936665  \t7.780999\n",
      "3.924576  \t7.780999\n",
      "5.244827  \t7.780999\n"
     ]
    },
    {
     "data": {
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ZvRRYD9wD3Axc7e43592zEmiMnToeuBu4yt1vKfJMJRIidcbd2T+6fyqpiFo/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AgAzzzzDL169eK224wpxAYNGuRqUZg3bx6PPvoo3bt3Z8aMGVW+lmeffZZnnnmGcePGMXz4cHbs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\n60p/zDqiOvEXQohgkc97y9To+44kEn5QS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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6a8545f690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline \n",
    "from numpy import loadtxt, size, arange, nanmin, where, nansum\n",
    "from matplotlib.pyplot import plot, matshow, figure, show\n",
    "from matplotlib.colors import LogNorm\n",
    "from src.analytic import Ethreshold_gg\n",
    "\n",
    "import matplotlib as mpl\n",
    "label_size = 20\n",
    "mpl.rcParams['xtick.labelsize'] = label_size\n",
    "mpl.rcParams['ytick.labelsize'] = label_size\n",
    "\n",
    "mat = loadtxt(\"Results/EmissMatrix__PLE_Paper_10TeV.txt\",unpack=True)\n",
    "\n",
    "E = mat[1:,0] # MeV\n",
    "z = mat[0,1:]\n",
    "Emiss = mat[1:,1:] # MeV\n",
    "i_min=min(where(E>Ethreshold_gg()*1e-3)[0])\n",
    "\n",
    "#mins=nanmin(Emiss,1)\n",
    "#Emiss /= Emiss[i_min,27]#min(mins[mins!=0])\n",
    "\n",
    "fig = figure(figsize=(12,9))\n",
    "ax = fig.add_subplot(111)\n",
    "for i in [0,8,16,24,26,28]:#arange(0,shape(z)[0],4):\n",
    "   ax.plot(E*1e-6,E**2*Emiss[:,i]*1e-6,linewidth=2,label=\"z=%f\"%z[i])\n",
    "\n",
    "#ax.axhline(y=1, xmin=1e-4,xmax=1e3,color='k')\n",
    "ax.axvline(x=Ethreshold_gg()*1e-3, ymin=1e-3,ymax=1e9,color='k',linestyle=\"--\")\n",
    "\n",
    "ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
    "ax.set_xlabel(\"$E$ [TeV]\",fontsize=\"xx-large\")\n",
    "ax.set_ylabel(\"$E^2 dN/dE$ [TeV ph/cm$^2$/s/sr]\",fontsize=\"xx-large\")\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.grid(b=True,which='major')\n",
    "\n",
    "print \"Emin: \\t\", E[Emiss[:,i]==max(Emiss[:,i])][0]*1e-6, \"TeV\"\n",
    "print \"redshift\\t Emax (TeV)\" \n",
    "for i in range(size(z)):\n",
    "   print z[i],\" \\t\", E[Emiss[:,i]==min(Emiss[:,i])][0]*1e-6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "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": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}