HajimeKawahara/exojax

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documents/tutorials/Forward_modeling_using_DIT.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward Modelling of a Many Lines Spectrum using DIT"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we try to compute a emission spectrum using DIT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import rtransfer as rt\n",
    "from exojax.spec import dit\n",
    "from exojax.spec import lpf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('bmh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#ATMOSPHERE                                                                     \n",
    "NP=100\n",
    "T0=1295.0 #K\n",
    "Parr, dParr, k=rt.pressure_layer(NP=NP)\n",
    "Tarr = T0*(Parr)**0.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We set a wavenumber grid using wavenumber_grid. Specify xsmode=\"dit\" though it is not mandatory.\n",
    "DIT uses FFT, so the (internal) wavenumber grid should be linear. \n",
    "But, you can also use a nonlinear grid. In this case, the interpolation (jnp.interp) is used.   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nugrid is linear: mode= dit\n"
     ]
    }
   ],
   "source": [
    "from exojax.utils.grids import wavenumber_grid\n",
    "nus,wav,res=wavenumber_grid(22900,23000,10000,unit=\"AA\",xsmode=\"dit\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Loading a molecular database of CO and CIA (H2-H2)... "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Background atmosphere:  H2\n",
      "Reading transition file\n",
      ".broad is used.\n",
      "Broadening code level= a0\n",
      "default broadening parameters are used for  71  J lower states in  152  states\n",
      "H2-H2\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec import api, contdb\n",
    "mdbCO=api.MdbExomol('.database/CO/12C-16O/Li2015',nus)\n",
    "cdbH2H2=contdb.CdbCIA('.database/H2-H2_2011.cia',nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import molinfo\n",
    "molmassCO=molinfo.molmass(\"CO\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Computing the relative partition function, "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from jax import vmap\n",
    "qt=vmap(mdbCO.qr_interp)(Tarr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pressure and Natural broadenings "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from jax import jit\n",
    "from exojax.spec.exomol import gamma_exomol\n",
    "from exojax.spec import gamma_natural\n",
    "\n",
    "gammaLMP = jit(vmap(gamma_exomol,(0,0,None,None)))\\\n",
    "        (Parr,Tarr,mdbCO.n_Texp,mdbCO.alpha_ref)\n",
    "gammaLMN=gamma_natural(mdbCO.A)\n",
    "gammaLM=gammaLMP+gammaLMN[None,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Doppler broadening"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import doppler_sigma\n",
    "sigmaDM=jit(vmap(doppler_sigma,(None,0,None)))\\\n",
    "        (mdbCO.nu_lines,Tarr,molmassCO)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And line strength"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import SijT\n",
    "SijM=jit(vmap(SijT,(0,None,None,None,0)))\\\n",
    "    (Tarr,mdbCO.logsij0,mdbCO.nu_lines,mdbCO.elower,qt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DIT requires the grids of sigmaD, gammaL, and wavenumber. For the emission spectrum, this grids should be prepared for each layer. \n",
    "dit.dgmatrix can compute these grids.   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "dgm_sigmaD=dit.dgmatrix(sigmaDM)\n",
    "dgm_gammaL=dit.dgmatrix(gammaLM)\n",
    "\n",
    "#you can change the resolution \n",
    "#dgm_sigmaD=dit.dgmatrix(sigmaDM,res=0.1)\n",
    "#dgm_gammaL=dit.dgmatrix(gammaLM,res=0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can check how the grids are set for each layers using plot.ditplot.plot_dgm "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1jXtNgUDATgRTvKZbbrmF3t7eaV/TmJ/L2VreVUSCwGPAE8aYv5/E+W8Da40xLYOf37Ztm6mqqnImyAxTV1fH8klm/LmKOrBRD+oghVsedu3a9dr69evXDn8+W6ODBPhX4OBYCUBEKpPnISLrkrG1ZiM+pwgGMziVfJaiDmzUgzpI4TUP2WoOugb4NLBXRHYnn/sz4GwAY8z9wEbgj0QkDvQBN5tZvgtFSUmJ2yG4jjqwUQ/qIIXXPGRrdNBLTLCXgjHmPuC+bMSTLVpaWigsHGVWYA6hDmzUgzpI4TUPOmPYQbyW8d1AHdjkuofa2lpHHWRy8pTTeK0uaBJwkGg06nYIrqMObHLdwz333DNjB9Fj2+l56h+IHts+avmzBa/VBV1K2kH6+vrcDsF11IGNepiZg+ix7bR+63cgHoVAiLLP/YzQinUZjC57eK0u6J2Ag1RWVrodguuoA5tc9FBbW0s4HE4vHHfZZZcRDofZsmULTU1NU/ppe/0JiA+AsSAepe31J9iyZcuQ8lO/e71pyGt1IWvzBDKFzhOYXagDm1z3EA6Heemll6Y9Y9ic+A2JH/0eWDHwB/Hd+j1k6WXp41VVVbS1tWUqXEfx2jwBbQ5ykFAo5HYIrqMObNQDBALT/7iRpZfhu/V7mOPbkbPXDUkAsw2v1QVNAg5SVFTkdgiuow5sct1DdXU1+fn5MypDll425od/dXX1jMrOJl6rC9on4CCtrbN6wnNGUAc2ue5h06ZNjm40v2nTJsfKzjReqwuaBByktLTU7RBcRx3YqAc8NUHKTbxWFzQJOIjXhoK5gTqwUQ/eGx/vFl6rC5oEHKS/v9/tEFxHHdioB4jFYm6H4Am8Vhc0CTiI18YDu4E6sFEPsGDBArdD8AReqwuaBBwkEom4HYLrqAMb9QAdHR1uh+AJvFYXNAk4yEyHxM0F1IGNevDeOvpu4bW6oEnAQQoKCtwOwXXUgY168N4kKbfwWl3QJOAg7e3tbofgOurARj3YG81PFXPiNyRe/jbmxG8ciMgdvFYXdMawg5SVlbkdguuoAxv1wIQbng/nzHpBUYw/NGK9oNmK1+qC3gk4SHd3t9shuI46sFEPUx8aaY5vBysKJgFWzH48B/BaXdAk4CA6OUYdpMh1D/feey/xeHzC8wY3/8jZ68AfAvGDP2g/Hqf82YLX6oIuJe0gAwMD5OXluR2Gq6gDm1z3EA6H2bdv37griQ5u/iHZ/ANMauXQ2bSUtFt1YaylpPVOwEG8Nh7YDdSBjXoYfZ7A4G/+ozX/yNLL8F39h3OiLyCF1+qCdgw7iNeGgrmBOrDJRQ+1tbVD9v699tprAaj+9Mf53AUd0HoM2o+DSWB8ATjv3SA+OwkAFCwAkoli7yMIIBd/zH7u+Ha2Pnecrf/2n+nyUzuM1dTUsHnzZqcvb9p4rS5oc5CDdHR05PxUeXVgk8seose2U3n5jey73Yf4ApCw7G0iJ8IfQm74KubJv7HvEAB8ATtRJOJn/gXe8QDUP/b3FF79P527kAzhVl3Q5iAX6OzsdDsE11EHNrnsIXr01wBIsplnUgkA7CahQ0/ar0mRiCfLSKQTQIr+1/87UyE7itfqgiYBB5nufqpzCXVgk8seQiuv4XOX+jHJUT6If+gJy9bao4CGfxz5g0jVDfZrUvgC4PMDMqScz62B/Et+27FryCReqwvaJ+AgnZ2dOb+RhjqwyXUP1bdvJNZ+ilDpWVC5GvPmC9DdhFy6Eak4n8Qr/wLdTbD8Smg7NuSYOe/ddv9B2QrkvOvs5iGSdwErroGOE1R/9v2zoikIvFcXNAk4iK6frg5S5KqH6LHttH7rdyDWTwCDeTt54B2/jf/3/sPu9P3328+0+UcOgDFAAnNqH4ZBfZbtx6Gw/EzzkLHgmN3UxI4HiF65kdCKsecSeAWv1QVNAg7itXXD3UAd2OSqh+jRX0M8CgwbgLL/v7GKFtnf+q1Bk6eG9BcMe00ijml5E0SSiWIQVpS+HT+eFUnAa3VB+wQcxGvjgd1AHdjkqofQymvAP8Z3zT0Pw+FnplZg/c4zQ0hHIFMryyW8Vhc0CTiIl9r93EId2OS0B2uM5o9gBsfLi4/A0oszV56DeK0uaBJwEL/fP/FJcxx1YJOrHnqe/Wb6m/uQ7+nihwtvytwbmQRdD3+F6DHvLzLntbqgScBBurq63A7BddSBTa56SHQ2jn7AWHZzkC+D3ZLxaHpOgpfxWl3QJOAgFRUVbofgOurAJlc9BFdek/59xNoEp9tGTPiaEYGQ3QfhcbxWFzQJOMhsWdXQSdSBTa568BeUkNEOW/8YW1Sev56y6v+aFaODvFYXdIiog8y2dZmcQB3Y5KqH0MprIJgPsX5GuReYGsWL8X3s70jsfQR6WwCQwnLk4o8hSy8jtHDhjOPNBl6rC3on4CBeu+1zA3Vgk6seQivWUfa5n7G140pM5cV2H0BoPiysguLF9uSv/BLw59k/oUIIzoNA/tCC8kqg8kIST30dqVyNf+NW/Bu3Ihd/DHN8O/f+zVfducBp4LW6oHcCDtLY2Mjy5cvdDsNV1IFNLnsIrVjHtx59hc8tSD4R7YGmQ4DYzTvWwJmT078P+3460JmeU2BO7cU6vhMi++3JZsaw9d9gyxc/Myuag7xWF/ROwEGmurH2XEQd2OSyh96Xvz/GETM0AQxhrAlhSfb/N7S+NWTmcN+OH08nvKzjtbqQlSQgIstE5DkROSAi+0XkC6OcIyLyTRE5KiJ7ROSd2YhNURRnqK2tJRwOs+zDfwLARQ/Y6/5v3Z2Z8rfutst7xwP24xWf/T7hcJja2trMvEGOkK07gThwpzFmNXAVUC0iq4edcxOwKvnzB8A/ZSk2x+jp6XE7BNdRBza56GHz5s20tbVR/9jfA7DvNth/G1Rfmpnyqy+1y9t/m/048tovaWtr8/SuYuC9upCVPgFjzCngVPL3bhE5CCwBDgw67aPAA8buOn9FRBaIyFnJ185KFi1a5HYIrqMObHLZg73E858QWHopJOL4AiGCK68l9vZOYg378RWUEDz3SqzmN5FAHsHKCwgsXUP8xF6s7kZipw5hupuRBYsRK0bemg8TKD+H06/8MH0+D3x/VvQHgPfqQtY7hkXkHOAy4NVhh5YA9YMen0g+NyQJNDU1cccddxAIBLAsiw0bNlBdXU0kEqGwsBC/309XVxcVFRW0tbVhjKGiooLGxsZ0W1xPTw+LFi2iubkZESEcDtPc3ExxcTGWZdHb20tlZSWRSIRgMEhJSQktLS2UlJQQjUbp6+tLHw+FQhQVFdHa2kppaSl9fX309/dTWVnJkSNHWLhwIQUFBbS3t1NWVkZ3dzfRaDT9+oKCAkKhEJ2dnZSXl9PZ2UksFksf99o1RSIR8vPzJ31N8XicgoKCOXVN0/k79ff3U15ePuo1fe1rX6Ompsaxa7r77rv56le/6mrdu/POO2n8wEcoKys7c03XfZFE8poWDLqm/KIiWlpbKb1oA7FRrkkKCmhpb6fsDzbS3d1NbzTKnXeWUVdXNyv+P508eZJ58+Zlre5N1AeR1T2GRWQ+8DzwN8aYh4cdewyoNca8lHz8DPBlY8zOwefNpj2GT5w4wdKlS90Ow1XUgc14HsLh8IwnEB0+uYcD9TtZvWwt5y9Zk/HyM4HWBRu3PIy1x3DW7gREJAj8J/DvwxNAkpPAskGPlyafm7WEw2G3Q3AddWDjpIfDJ/fw1z/5LHErRsAf5P986v4RicALaF2w8ZqHbI0OEuBfgYPGmL8f47RHgduSo4SuAjpnc38AQHNzs9shuI46sBnuITVyJvWBkPp9y5YtNDU1Teln+8HnicVjJEyCuBVj+8Hn2bJly6jluzlyRuuCjdc8ZOtO4Brg08BeEdmdfO7PgLMBjDH3A48DHwSOAqeB38tSbI5RXFzsdgiuow5shnvYvHlzehRLOBzm0KFD0y57VeUaAv4gViKG3xdkVeUabth0IZs2bQKgqqrKE81BWhdsvOZh2klARBYAxcaY4xOdm2znH3cVqeSooOrpxuNFLMua+KQ5jjqwcdLDioUX8vkP3M2RyB5WVa5hxcILHXuvmaB1wcZrHqbUHCQi6UUvjDEdQFhEHsx0UHOF3t5et0NwHXVgM56H6uqZf/dZsfBCbljzqVETQCbKzwRaF2y85mGqfQK3Dn5gjNkNTHGT0NzBaxtKu4E6sBnPQ6rZximcLn+yaF2w8ZqHqSaB3xGRp0TkP0TkC8mlHdxvbPQoXttQ2g3UgY16UAcpvOZhqn0CNxtjIsn+gGuATwEfAkYb8pnzBINBt0NwHXVgox7UQQqveZh0EkgO23wV0v0BPwd+LiI/cya02U9JSYnbIbiOOrBRD+oghdc8TKU56CDwcRG5SUTSe7wZY17JfFhzg5aWFrdDcB11YKMe1EEKr3mY9J2AMaZTRA4D1wP/Q0ReAnqB540xdU4FOJvxWsZ3A3Vgox7UQQqveZhKc9CXgVZjzL3AvcnnFgM3iMhzmghGEo1G3Q7BddSBjRMejjUd9PzcgMFoXbDxmoepdAzfYYw5f/ATxpgG4PsZjWgO0dfX53YIrqMObDLt4VjTQe574ivp9YI+/4G7PZ8ItC7YeM3DVPoEnhOR8yc+TUnhtfHAbqAObDLt4UhkD3ErhiGBlYhxJLIno+U7gdYFG695mEoS+DywXkS81aDlYbw2HtgN1IFNJjwcazrIk3t+wrGmg+n1gnziS68X5HW0Lth4zcOkk4AxJmaM+SdjTKeTAc0lQqHQxCfNcdSBzXge7r333iGPB3/YD37uvie+ws93PcB9T3wFgM9/4G4+eNltEzYFDS/fLbQu2HjNQ9Z3FsslioqK3A7BddSBzXgetm7dygXXL0x/m7/3l18mnogR8AX5+JV/xInWo5xoO0rMigKGmDXAL3b/kJsu/R+sqlzD9qNPs/3o06xb+T6AdGdxQ/vbvF73Elu3/idf+9rXsnGZ46J1wcZrHjQJOEhra+uEW7vNddSBzVgeDp+02/J/vusBAv4gZ5evIp6IARBPxPjptnsxjNz971DDbzgS2QsmgWXsVSlfOfIEIj6shIWIkDBnVqt8evfDvO/SDU5c2qTRumDjNQ+aBByktLTU7RBcRx3YDPdQW1vLPffck378RO2bAJx7TYSV7z5z7mgJIHUkkYgPOW4ZC5If/EdeaOetX3ekj33yvb8P/D41NTXpfQyyjdYFG6950CTgIH19fZ7bQCLbqAOb4R5Sm8ocPrmHqy5+Dzd+5Txg6Ld3EPziS3/TZ8gRwecLDLkT8IsfER8JY3H+deXpZPJk7TF++uy/uH4noHXBxmseNAk4SH9/v9shuI46sBnLQ2ov4GVlK4lZcSIdb5MwCXzi5xNX2fsAPH/gZxiEi5ZdSVPnCZq7TlBRspTVS67gwIkd6cfvu+gTNLS/zStHfknxvDJi8Sj1LYcBXE8AoHUhhdc8aBJwEK+NB3YDdWAzlofDJ/ew8towdckP6xTvXHE9i0vP4Zu/+NP0N/3GzjOb+EU669l7fFv6cXNXA6uXXMFDr2wdcedw7jULPNEnoHXBxmsesrLRfK7itfHAbqAObMbycKB+J+deu2DE8zvfepYfvvi3ozYFjYZlLJ7c85NRz1/57lK2H3Z/7yetCzZe86BJwEHy8/PdDsF11IHNWB7m5y8Y8zXN3Q1Teo/23sYxj607f/2UynICrQs2XvOgzUEOUlBQ4HYIrqMObEbzcPjkHr739DdgzBFAM8cvAc5ZWMXZFSsde4/JonXBxmse9E7AQdrb290OwXXUgc1oHl7Y9xhWIj7q+VWLL8/I+1omzpuN+7jrx3+YnpPgFloXbLzmQZOAg5SVlbkdguuoA5tRPcjY559oPYpk8L+nZcU4UL8zY+VNB60LNl7zoEnAQbq7u90OwXXUgc1oHs5ZWDXm+T0DnRgSky4/6B9/PRq/P8jqZWsnXZ4TaF2w8ZoH7RNwEK9tHuEG6sBmNA89/R0IMs6s4MkTs6L4fUGs5JITAAXBQsLzF3FORRUfuOIT6TkJbqF1wcZrHjQJOIjXxgO7gTqwGc3D6mVrCQZCROMDMy4/XLiI26//MtuPPg3AupXvG7Ky6MKFC2f8HjNF64KN1zxoc5CDeG08sBuoA5vRPJy/ZA3/51P3Ez1QPqT9vyBYyLxQETKs08AnfvIC8/DhH1FW70A3W5/4CgPxftatfB/bjz7NPz7+p/zdY1+g5i+/kPkLmgZaF2y85kGTgIN4bSiYG2TCQW1tbQYiyX7ZgxnLw/lL1vCrR3cMaf/vi/VyOto9opkoYSyi8T4SjJwQNhA/TdQaYOdbz/IPj/8Jvz78OG817aOu5TCP/vgJnt79cGYvaBro/wcbr3nQJOAgXts8wg0y4WDwapvTpeF4O6/+6k0ajg8dnpeJsifDWB6m+uE83f4DL8wY1v8PNl7zoEnAQTo7dRM2LzhoON7OT/91By89dYSf/uuOEYkgGwz3UFtbSzgcTi7xbK/0+WTtMY6+mJnYjr7Yni4T4G8/+yDhcDhrdz6j4YW64AW85kGMcW62ohNs27bNVFWNPbTOS/T29lJYWOh2GK4yXQfD19tPUV1dzaZNm6ZU1t7tEX6zrQEMiMDhU0/wH4/8YMR5Tq61P5aHp3c/zCff+/vcsHnFpMsSfIhAwow2hFTw+/zpSWhLwiv4Xs2ztLW1TTf0jKH/H2zc8rBr167X1q9fP2KcsCYBB2loaGDx4sVuh+EqmXAQDoc5dOjQtF/f3NDDkw8fIWEZfH7hhg2rqFhs7+xUVVWVlQ/I8TyEw2G+dP8trDt/PWdXrORA/U56+3s4cHwnpfMruPTca3i76RAdPa0sKCzjuos+DJA+r67pDZYvvIDC/PnpuQAH6neyetlazl+yhnA47IkkoP8fbNzyMFYS0CGiDhKLxSY+aY7jBQcVi+dzw4ZVRE70ULl0fjoBZJPxPNTU1LD5k2fuQCY7nn+88wYfq6mpmVR5TuOFuuAFvOZBk4CDeG08sBtkwkF1dfWMy6hYPPqHfybKngzjeXB6u0e3tpMcjv5/sPGaB+0YdhCvjQd2g0w4mGofgFfKHozWBXWQwmseNAk4iHaCqYMU6kEdpPCaB00CDuL3j5zZmWuoAxv1oA5SeM1DVpKAiHxXRJpEZN8Yx98jIp0isjv58+fZiMtpurq63A7BddSBjXpQBym85iFbHcPfB+4DHhjnnBeNMR/OTjjZoaKiwu0QXEcd2KgHdZDCax6ycidgjHkBcH+gcpbxwthst3HLQXNDD3u3R2hu6HHl/YejdUEdpPCaBy8NEX2XiLwONABfMsbsdzugmTLbJuI5gRsOUpPDLMvgHzY5zC20LqiDFF7z4JUksAtYbozpEZEPAo8Aq0Y7sampiTvuuINAIIBlWWzYsIHq6moikQiFhYX4/X66urqoqKigra0NYwwVFRU0NjYyf779QdDT08OiRYtobm5GRAiHwzQ3N1NcXIxlWfT29lJZWUkkEiEYDFJSUkJLSwslJSVEo1H6+vrSx0OhEEVFRbS2tlJaWkpfXx/9/f1UVlYSjUZpbGykoKCA9vZ2ysrK6O7uJhqNpl9fUFBAKBSis7OT8vJyOjs7icVi6eNeu6ZIJEJ+fv6kr6moqIiGhoYZXVNraysiwvz58+nq6qKgoIBEIsHAwAALFiygo6MDv9/P6S6oP9ZGfECwLAMGEpbhzcONBOfFyc/Pp6enh8LCQqLRKLFYjAULFlBXVzela5rO3ykvL4/W1lbP/p2yUfei0SgNDQ1z6pqm83cSEerq6rJ+TWORtWUjROQc4DFjzEWTOPdtYK0xpmX4sdm0bERdXR3Lly93OwxXyYSDO7/4ZT74vt9Nz/Y9vKeZuqMdLF+5gPPXVNDc0MObB9s4ur+VRMIgPhARTMJeJuKK65Yy0G8NmS3c3NBD5EQPjz/97/zdP34jE5c6LloX1EEKtzx4etkIEakEGo0xRkTWYfdVtLoc1oyZKAPnAjN10HC8ne898B3OKvwt/H6h6pIK9r/WBMCp4928daiNlsbTJKwzX2ZMAioWz2PJOSVEB+K8+qt6TAJ8fli5upxwRQE7XjiBFTd874HvcNut1Vyy7uwZxTkRWhfUQQqvechKEhCRB4H3AOUicgL4CyAIYIy5H9gI/JGIxIE+4GbjtYYzxRXq30p2oiWbdo69MXSp5aaG3lFf13yql3Orwux+pYHUYpsJCw7vbUF8MHgBzmcePUhFZRGLzy514hIUxdNkJQkYY26Z4Ph92ENI5xQ9PT2UlZW5HYarTNfB8KWkv37/rQBcu3YD163dOOHrDVB3tIPRVlt+/tWHeOm1M5u5/PW3buGvv+XsUtJaF9RBCq950KWkHaS/v5/8/Hy3w3CVmTpoON7ORZeexz/e9V/0dEU53XNmBUYRMAYQWLaihEDQl75T8PmFddcvZfvzJ9JNRT6fkEgYEChbOI/WxtN8/f5b2VL9IJ/6zDpH7wS0LqiDFG55GKtPQJeNcJDm5ma3Q3CdmThI7QgGdrPP4ATg8wur37kQEcBA/VudQ5qKEpZh/2uN6QQgPli+aoF90EBr4+n0udn4HqR1QR2k8JoHTQIOIiJuh+A6M3FQ/1YbVjzBtZdvGHHMGEPzqd5xP8C7O6Nnzk9AQ93I6frXXr6BRMKc6XtwCK0L6iCF1zxoEnCQcDjsdgiuMxMHy84NIyJcd8XIPgCTGLtTeCzisZEdBNddsRG/38eyc539W2ldUAcpvOZBk4CDeO22zw1m4qA50m234WcIyxpalj8glJTm8d7frnJ8ZJDWBXWQwmseNAk4SHFxsdshuM5MHOzdeSKDkYzEihs62wd45tGDNBxvn/gFM0DrgjpI4TUPmgQcxLIst0NwnZk4mF+UN+Yxnz9z7aqJhGH/rpMZK280tC6ogxRe86BJwEF6e6fWZj0XmYmDddefO+Yx/xSSQF6B+5t4aF1QBym85kGTgINkc0Pp2tpaT5Y7Uwd+/+hVNBYdZRbYGAz0WeTNGzsR+HzCO965ZMqxTQWvbS7uBurAxmseNAk4SDY3lB48u3Y6tO/cy5vffID2nXszWu5MHNS/1UYiMfkP+/GI9llc9d5llC2ax8LFhSw7t4Rl55Zw/sXl3PwHzk4UA+9tLu4G6sDGax40CThIMBh0O4RJ0b5zLzs2/jFHvvHP7Nj4xyMSwUyYiYNl54bxB3y8sOOhmQcicHR/K6veUcbl1y6hoNCO62c/H2+zu8wxW+qCk6gDG6950CTgICUlJY6WX1tbSzgcTo87Tv2+ZcsWmpqaJv1T/+SLJKIxsBIkYjHu+ou/HLXc6TQNzcTB4rNL+eQdVwxZ52e6mAS0NJ7mlWfr+cVPD3N4bwv1b3XyX4//kJ98Z4fjo4OcrguzAXVg4zUPnlhKeq7S0tJCYWGhY+Vv3rw5veBZOBzm0KFD0ypn/hUXIaEAJhZHggE2ffELfOV7/wRAVVXVjLbDm6mD5kj3tF87WSwrQf1bbY42CTldF2YD6sDGax40CTiI1zL+WMy/pIpV37mLnh37mH/FRcy/JHML9E3XwZiriF6+YdQZxFPhhR1DVxH9+v23wv3OriI6W+qCk6gDG6950CTgINFodOKTMkR1dfWMXj//kqpRP/xnWu50HaTucl7ffpzfuvFS/uyzP5pRHClE7KUiUonk6/ffynO/3O34pjLZrAteRR3YeM2DJgEH6evry9p7bdq0yZPlztRB6sP5nJVlVCwuIj8/yLJzwxw50Mi+nScJhvxcsKaSaH+c3u4BCovyWLi4mKYGe7G4UH6ANw80gU+4/OrlVFQWUf9WG/nzgvSfjsH9OJ4AILt1wauoAxuvedAk4CBeGw/sBplwUFNTw8b/dcWQ5xafXcr1N06u2Wr4eYPb/mtqamYc32TQuqAOUnjNg44OchCvjQd2g0w4cKqd3umyB6N1QR2k8JoHTQIOEgqF3A5hXHpeP0TkXx6i5/XpjSqaDF53kC3UgzpI4TUP2hzkIEVFRW6HMCY9rx/iyGf+HBONI6EAq75zV0ZHBaXwsoNsoh7UQQqvedA7AQdpbW11O4Qx6dmxDxONQyKBicXp2bHPkffxsoNsoh7UQQqvedA7AQcpLXV2PZoU7Tv3EnnyxfQY/+aHnqDjqW0seP+7qNj4AXpeP0TPjn3Eu3vpO3SMgqoVJHpOIwE/Jm5vtNK770i6WSg1X6DvSB0dT22jf8MNnP3pj00rtmw58DrqQR2k8JoHTQIO0tfX5/gGEql1f37ae5JPFC6m4pYP0fS9nwHQvW03Pa/tp/2JX0P8zBrm3dt22wPmUyt0Wgk6n32Vzhd2Ij4fJm6BTyBu8VC8mY3bdgNMKxFkw8FsQD2ogxRe86DNQQ7S39/v+Hu0vfwbErEYD1stmFic9sdfGHK8/fEXhiSANMaAlYDB2zfGLUwsBolE+jUPJ+xb18af/2pa8WXDwWxAPaiDFF7zoEnAQbIxHjh89WX4/Mm18o0h1jisvXGsLXoFCPrBP2id/UDy8eC7hCSLPvSeacXntTHRbqEe1EEKr3nQJOAgTo8Hrq2t5bwbrufmHnvp51v7D3Jr9BAPxe2NrAsvXw2hYS1+ktyRy0CgtBgSybsEn7Dw0x9BEB6KNXFr3wFujdp9BLdGD3HpF/7XtFYR9dqYaLdQD+oghdc8aJ+Ag+Tn5zta/ubNm/nEvMUc+cY/c2vfAX4UGjrEs3DNBURPNRNraD7zpDlzaxBvHLQ6aMLQ/sSvMfE4GwMVbKQCsBPAj/JXs2rzH3DeH9825RiddjBbUA/qIIXXPGgScJCCggLH3yN89WWIjL7fbtP3HxnyoT8RsYamUZ8XnxC++rLphJcVB7MB9aAOUnjNgzYHOUh7u7MblQB0H3wTE7fY4CsbeXAKCWAsNgTKufDuOylde/G0Xp8NB7MB9aAOUnjNgyYBBykrG+WDOcOkRu1sDFQMPeAb/e5gqnyyZPmMXp8NB7MB9aAOUnjNQ04lgel0bM6k3O5u53fFKnrHqpFPirDw9o+N7BSeBonuXg786T0c/7dHpvX6bDiYDagHdZDCax5yKgkM3qlqOhxo7OXB3REONPZOqtxsbB4RLBllHRJj6Hx+B6HK8skVkheyh4eOw3TnCXhtAw23UA/qIIXXPGjH8CQ50NjLlx8/QixhCPoifOODq1i9aPx9QrMxHjhYOvrMw4G3Tky+kIEoMi/fnik8BjpPYGaoB3WQwmse5vydQG1tLeFwmHA4DJD+fcuWLTQ1NU365+WjEWKWIWEgZhn+8q67Ri13cNNQNsYDx9q7MlKOOd0/evORwDnVvzvttYO8NibaLdSDOkjhNQ9z/k4gtVct2B/Uhw5Nb+38C8tCBHxCPGEI+IQvbPo89/3FnQBUVVXR1tY24jXZGiKK38dDA40jO4enQjCAv3AewRVh5q+5gIILz6Xv4Fs8sOcV/uqm66ZdrNeGw7mFelAHKbzmYc4ngUyxKpzHV64u42BrlAvLQqwK5034mmxsHlG69mIqP/Y+Hn7wm+kJXtMiFsdq78JK3ln07HmD/sN1/HDgIB/e+Mdc8dA3pzVM1GsbaLiFelAHKbzmYc43Bw2murp6Rq9fFc7jI6uKRiSAscrt7Oyc0ftNhvade4k88nRGy+x/423633g7Pc8gMRCl7eXfTKusbDiYDagHdZDCax7EZGBCUTbZtm2bqaqa3g5YTU2jz4jNBAsXLhzxXG9vL4WF43cez4Ta2tpRRyZt8JXNqGnooXhzevXQwdTU1Ex5T16nHcwW1IM6SOGWh127dr22fv36tcOfz8qdgIh8V0SaRGTU7avE5psiclRE9ojIO7MRl9M4nfE3b97Mm08+z4Pz7WaaH4Wq+FGoauIEMME8so2BinRZAC//76/R1tY2rU3Zvfatxy3UgzpI4TUP2eoT+D5wH/DAGMdvAlYlf64E/in5r+scaRuYUj/AYGKxmENRnaF07cWse/g+uOF6lt72MYovPp9Yexfdb7xF81MvIwLFl60m3tmNPy+PwvPPYcknb6L74Juc+NF/E+/oJtbVS6B4HsEFJYSvvox4dy89h98mMRCFVw9RtWX6zWjZcDAbUA/qIIXXPGQlCRhjXhCRc8Y55aPAA8Zum3pFRBaIyFnGmFNOxTTWh/vg5wHufrmVeMLgE7ju7Hm8e9m8SSeDbI0HLl17MTU1NVy0uWZKr5nMsM+a2pUziMx7Y6LdQj2ogxRe8+CV0UFLgPpBj08kn8toEkh9wM8PCg/s6ySegIAPvnq1PbP2xfrTPH/8NAljt5MtXxAkljAY7A24nq07zQvHTw9JBs++3cOOU/2893wfH7pw6AzdSCTC8uUzW3tnskynqSYb5WbTgZdRD+oghdc8eCUJTJqmpibuuOMOAoEAlmWxYcMGqquriUQiFBYW4vf76erqoqKigra2NowxVFRU8PIbJ/ji1+/jrPffDpzZcCuegAf3dXC0Mz5kp0ULeKtj5G1bPJkMXqo/zbWVPp5tSHDyyR+w94bb6e/v49rFIfr7+6msrOT06dM0NjZSUFBAe3s7ZWVldHd3E41GqaysJBKJUFBQQCgUorOzk/Lycjo7O4nFYunj411TY2Mj8+fPB6Cnp4dFixbR3NyMiBAOh2lubqa4uBjLsujt7U2XGQwGKSkpoaWlhZKSEqLRKH19fenjoVCIoqIiWltbKS0tpa+vL31NkUiE/Pz8SV+T3++noaFhTl3TdP5OiUSC1tbWOXVNU/07nT59moaGhjl1TdP5O8ViMerq6rJ+TWORtdFByeagx4wxF41y7NvAr4wxDyYfvwG8Z7TmoOmODvp/L9XzVx+5hLX3PDMyNsbehXEsfEBFoZ/GXoudNetZe88zXL6kiLtvOtN80t7eTmlp6ZRjnUuoAxv1oA5SuOXB1dFBk+BR4LbkKKGrgM5M9gccaOzlycMtox6bagLwif0aESgMDB1mc1546EzArq7MLOkwm1EHNupBHaTwmoesNAeJyIPAe4ByETkB/AUQBDDG3A88DnwQOAqcBn4vU+89fCz9zpr1AJz1vttYcsPtLCvyU99tTToRrCoNcrgtxvEnfsCrT58Z7LSzZj07gZZBY+krKmYwg3eOoA5s1IM6SOE1DzkxWSy1Auiv73zviOag6TQFDWdnzXqu/L/P8HcfPn/IyqInTpxg6dKlMyx9dqMObNSDOkjhlgevNwc5yupFhXx09ejZN1Mp8PNXLxuxtPRsS7BOoA5s1IM6SOE1DzmRBH5+sIWf7m3irPfd5kj5F//2/2RFeOTKgF677XMDdWCjHtRBCq95yIkk8NLbHQAsueH29HMC+DOzDS957/40dz52eMSOY42NjZl5g1mMOrBRD+oghdc85EQSGD5qJ8VN5xYy/qaKk8cy8NSRoYuuTTQ+NxdQBzbqQR2k8JqHnEgChXkjP+oN8GxdL75JGsjz28NDxydDtxaKoihZIieSQHHe6CNhT8chlphcGQMWFPjH/pj3C7x/VXjIcz09PVOIcm6iDmzUgzpI4TUPOZEEugbiAJx88gczKqc3Du+szEtPGPMDi+f7MS//cMTwUIBFixbN6P3mAurARj2ogxRe85ATSeCSs4rwC5x6eqyVrCfPa5EBEgbOmu9nSZHdzPTaI98b9dzm5uYZv99sRx3YqAd1kMJrHnIiCaxeVMjHLxq589dMaOixON5t0dBjAfClnx8ZMTpIRPsI1IGNelAHKbzmYc4ngdraWsLhMDU32btv7axZz86a9TNuGjr55A/SZQG88qX3cu2Fy6itrU2fEw6Hx3p5zqAObNSDOkjhNQ9zPgls3ryZtrY2/u3XhwFYe88zrL3nmSFzBqbDkhtuT5cFcNXfPstLB+uHrL/vtds+N1AHNupBHaTwmodZt5/AdElt+LKoMEjnQJyS/ABLi/M51NyLCFxQXkhP1CIUEIryApQWBCkM+nj9VA/dA3E6B+LErQSIcNHC+VQWhzje0U9nf5ydwN9+aNWIjuHi4mIXrtRbqAMb9aAOUnjNQ84kAYCamho23zJiO4MZs/JozYgEAGBZVsbfa7ahDmzUgzpI4TUPc745aDDZ3oKxt7d31OdzCXVgox7UQQqvecipJJBtvLahtBuoAxv1oA5SeM2DJgEHiUQibofgOurARj2ogxRe86BJwEEeeeQRt0NwHXVgox7UQQqvedAk4CAPP/yw2yG4jjqwUQ/qIIXXPGgScJB4PO52CK6jDmzUgzpI4TUPs26P4WeeeaYZqHM7jsnQ1tZWHg6HW9yOw03UgY16UAcpXPLQArB+/fobhx+YdUlAURRFyRzaHKQoipLDaBJQFEXJYTQJDENEbhSRN0TkqIiMmAosInki8pPk8VdF5JxBx76SfP4NEflA8rl8EdkuIq+LyH4R+atB54uI/I2IHBaRgyLyx4Oe/2ayrD0i8s4sXPrga/SCg/eISKeI7E7+/HkWLn34dWbTw4uDrrVBRB5JPp9LdWEsB7lWF9aLyK7ktb4kIisneo8ZYYzRn+QP9mZhbwLnAiHgdWD1sHM+B9yf/P1m4CfJ31cnz88DViTL8WNvQjY/eU4QeBW4Kvn494AHAF/y8cLkvx8EfpF87VXAqzno4D3AY7lSF4aV+5/AbblWF8ZxkFN1ATgMXDio3O+P9x4z/dE7gaGsA44aY94yxkSBHwMfHXbOR4HUZgQPAetFRJLP/9gYM2CMOQYcBdYZm9SmosHkT6o3/o+Au4wxCQBjTNOg93gg+dpXgAUiclbGr3Z0vOLAbbLtAQARKQbeCzwy6D1ypS4Aozpwm2x7MEBqqdESoGGC95gRmgSGsgSoH/T4RPK5Uc8xxsSBTqBsvNeKiF9EdgNNwFPGmFeT55wHfEpEdorIL0Rk1RTicAqvOAB4V/J2+Rci8o6MXN3kybaHFB8DnjHGdE0hDqfwigPIrbrw+8DjInIC+DSQ2qlqrPeYEZoEsoAxxjLGXAosBdaJSGo96zyg3xizFvgO8F2XQnScaTjYBSw3xlwC3It3vhXOiHE8pLgFeDDrgWWRaTjItbrwv4EPGmOWAt8D/t7JODQJDOUksGzQ46XJ50Y9R0QC2LdrrZN5rTGmA3gOSE3YOAGk5pD/DFgzhTicwhMOjDFdqdtlY8zjQFBEymdwXVMl2x5IXt864OdTjMMpPOEgl+qCiFQAlwy6K/gJcPUE7zEjNAkMZQewSkRWiEgIu/Pl0WHnPAqk9qbcCDxr7J6aR4Gbkz34K4BVwHYRqRCRBQAiUgC8HziUfP0jwG8lf78eu0Mo9R63ic1VQKcx5lRmL3VMPOFARCpT7Z0isg67rs64wk+BbHtIlfGYMaZ/2HvkSl1IlTHEQY7VhXagRETOT5b1fuDgBO8xMybbg5wrP9ijMQ5j9+J/NfncXcBHkr/nA/+B3cGzHTh30Gu/mnzdG8BNyefWAL8B9gD7gD8fdP4C7G88e4Ft2N8AwB45sDVZ1l5gbQ46+DywH3tkxSvA1XO5LiSP/wq4cdhzOVMXxnGQU3UB+J3k3/r1pI9zJ3qPmfzoshGKoig5jDYHKYqi5DCaBBRFUXIYTQKKoig5jCYBRVGUHEaTgKIoSg6jSUBRFCWH0SSgKIqSwwTcDkBRZhsiMh97Ua8qoAI4BvzCGPNtVwNTlGmgk8UUZQqIiA97PZcvAceBp4HfNsacdjUwRZkmeiegKFPjZuB5Y0wdgIh0YK8FT3Lxr+9iT/WvA9YC9xpjsrXgm6JMGe0TUJSpcS32ui2ISBB7d6hOAGNMM/aGIP/PGPMQ8H+BLW4FqiiTQZOAokyNPZz5f/NHwF+nDiSTQsLYG36QPO/s7IanKFNDm4MUZWp8G7hFRJYBLxhjdg86djnw2qDH1wMvZDE2RZkymgQUZQoYeyTFj8Y4fB3wIqQ7kD8GfCY7kSnK9NAkoCgZQEQuBz4BnBCRW7D3g73TGNPnbmSKMj46RFRRFCWH0Y5hRVGUHEaTgKIoSg6jSUBRFCWH0SSgKIqSw2gSUBRFyWE0CSiKouQwmgQURVFyGE0CiqIoOYwmAUVRlBzm/wOoquwKxTe+pgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#show the DIT grids \n",
    "from exojax.plot.ditplot import plot_dgm\n",
    "plot_dgm(dgm_sigmaD,dgm_gammaL,sigmaDM,gammaLM,0,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import initspec \n",
    "cnu,indexnu,pmarray=initspec.init_dit(mdbCO.nu_lines,nus)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute a cross section matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "xsmdit=dit.xsmatrix(cnu,indexnu,pmarray,sigmaDM,gammaLM,SijM,nus,dgm_sigmaD,dgm_gammaL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some elements may be small negative values because of error for DIT. you can just use jnp.abs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "148782 / 1000000\n",
      "min value= -3.1114657e-28\n"
     ]
    }
   ],
   "source": [
    "import jax.numpy as jnp\n",
    "print(len(xsmdit[xsmdit<0.0]),\"/\",len((xsmdit).flatten()))\n",
    "print(\"min value=\",jnp.min(xsmdit[xsmdit<0.0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "xsmdit=jnp.abs(xsmdit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also compute the cross section using the direct computation (LPF) for the comparison purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#direct LPF for comparison\n",
    "from exojax.spec.lpf import xsmatrix\n",
    "numatrix=initspec.init_lpf(mdbCO.nu_lines,nus)\n",
    "xsmdirect=xsmatrix(numatrix,sigmaDM,gammaLM,SijM)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see the cross section matrix!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_27849/1125883551.py:5: RuntimeWarning: divide by zero encountered in log10\n",
      "  c=plt.imshow(np.log10(xsmdit),cmap=\"bone_r\",vmin=-23,vmax=-19)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "fig=plt.figure(figsize=(20,3))\n",
    "ax=fig.add_subplot(211)\n",
    "c=plt.imshow(np.log10(xsmdit),cmap=\"bone_r\",vmin=-23,vmax=-19)\n",
    "plt.colorbar(c,shrink=0.8)\n",
    "plt.text(50,30,\"DIT\")\n",
    "ax.set_aspect(0.1/ax.get_data_ratio())\n",
    "ax.set_aspect(0.1/ax.get_data_ratio())\n",
    "ax=fig.add_subplot(212)\n",
    "c=plt.imshow(np.log10(xsmdirect),cmap=\"bone_r\",vmin=-23,vmax=-19)\n",
    "plt.colorbar(c,shrink=0.8)\n",
    "plt.text(50,30,\"DIRECT\")\n",
    "ax.set_aspect(0.1/ax.get_data_ratio())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "computing delta tau for CO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauM\n",
    "Rp=0.88\n",
    "Mp=33.2\n",
    "g=2478.57730044555*Mp/Rp**2\n",
    "#g=1.e5 #gravity cm/s2\n",
    "MMR=0.0059 #mass mixing ratio\n",
    "dtaum=dtauM(dParr,xsmdit,MMR*np.ones_like(Tarr),molmassCO,g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "dtaumdirect=dtauM(dParr,xsmdirect,MMR*np.ones_like(Tarr),molmassCO,g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "computing delta tau for CIA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauCIA\n",
    "mmw=2.33 #mean molecular weight\n",
    "mmrH2=0.74\n",
    "molmassH2=molinfo.molmass(\"H2\")\n",
    "vmrH2=(mmrH2*mmw/molmassH2) #VMR\n",
    "dtaucH2H2=dtauCIA(nus,Tarr,Parr,dParr,vmrH2,vmrH2,\\\n",
    "            mmw,g,cdbH2H2.nucia,cdbH2H2.tcia,cdbH2H2.logac)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The total delta tau is a summation of them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dtau=dtaum+dtaucH2H2\n",
    "dtaudirect=dtaumdirect+dtaucH2H2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "you can plot a contribution function using exojax.plot.atmplot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.plot.atmplot import plotcf\n",
    "plotcf(nus,dtau,Tarr,Parr,dParr)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "radiative transfering..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import planck\n",
    "from exojax.spec.rtransfer import rtrun\n",
    "sourcef = planck.piBarr(Tarr,nus)\n",
    "F0=rtrun(dtau,sourcef)\n",
    "F0direct=rtrun(dtaudirect,sourcef)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The difference is very small except around the edge (even for this it's only 1%)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure()\n",
    "ax=fig.add_subplot(211)\n",
    "plt.plot(wav[::-1],F0,label=\"DIT\")\n",
    "plt.plot(wav[::-1],F0direct,ls=\"dashed\",label=\"direct\")\n",
    "plt.legend()\n",
    "ax=fig.add_subplot(212)\n",
    "plt.plot(wav[::-1],(F0-F0direct)/np.median(F0direct)*100,label=\"DIT\")\n",
    "plt.legend()\n",
    "plt.ylabel(\"residual (%)\")\n",
    "plt.xlabel(\"wavelength ($\\AA$)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To apply response, we need to convert the wavenumber grid from ESLIN to ESLOG. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "import jax.numpy as jnp\n",
    "nuslog=np.logspace(np.log10(nus[0]),np.log10(nus[-1]),len(nus))\n",
    "F0log=jnp.interp(nuslog,nus,F0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "applying an instrumental response and planet/stellar rotation to the raw spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import response\n",
    "from exojax.utils.constants import c\n",
    "import jax.numpy as jnp\n",
    "\n",
    "wavd=jnp.linspace(22920,23000,500) #observational wavelength grid\n",
    "nusd = 1.e8/wavd[::-1]\n",
    "\n",
    "RV=10.0 #RV km/s\n",
    "vsini=20.0 #Vsini km/s\n",
    "u1=0.0 #limb darkening u1\n",
    "u2=0.0 #limb darkening u2\n",
    "\n",
    "R=100000.\n",
    "beta=c/(2.0*np.sqrt(2.0*np.log(2.0))*R) #IP sigma need check \n",
    "\n",
    "Frot=response.rigidrot(nuslog,F0log,vsini,u1,u2)\n",
    "F=response.ipgauss_sampling(nusd,nuslog,Frot,beta,RV)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22920.0, 23000.0)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wav[::-1],F0)\n",
    "plt.plot(wavd[::-1],F)\n",
    "plt.xlim(22920,23000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}