HajimeKawahara/exojax

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documents/tutorials/Forward_modeling_using_PreMODIT.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward Modelling of a Spectrum using PreMODIT and Comparison with LPF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we try to compute a emission spectrum using PreMODIT. We recommend to use FP64 as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from jax import config\n",
    "config.update(\"jax_enable_x64\", True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec import rtransfer as rt\n",
    "from exojax.spec import premodit\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('bmh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#ATMOSPHERE                                                                     \n",
    "NP=100\n",
    "T0=1295.0 #K\n",
    "Parr, dParr, k=rt.pressure_layer(NP=NP, numpy=True)\n",
    "Tarr = T0*(Parr)**0.1\n",
    "Tarr[Tarr<400.0] = 400.0\n",
    "Tarr[Tarr>1500.0]=1500.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We set a wavenumber grid using wavenumber_grid. Specify xsmode=\"premodit\" though it is not mandatory.\n",
    "PreMODIT uses FFT, so the (internal) wavenumber grid should be logarithm. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode =  premodit\n",
      "xsmode assumes ESLOG in wavenumber space: mode=premodit\n"
     ]
    }
   ],
   "source": [
    "from exojax.utils.grids import wavenumber_grid\n",
    "nus,wav,R=wavenumber_grid(22900,23000,10000,unit=\"AA\",xsmode=\"premodit\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Loading a molecular database of CO and CIA (H2-H2)... For PreMODIT, gpu_transfer=False can save the device memory use. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HITRAN exact name= (12C)(16O)\n",
      "Background atmosphere:  H2\n",
      "Reading .database/CO/12C-16O/Li2015/12C-16O__Li2015.trans.bz2\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,gpu_transfer=False)\n",
    "cdbH2H2=contdb.CdbCIA('.database/H2-H2_2011.cia',nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "molmassCO=mdbCO.molmass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OpaPremodit: params automatically set.\n",
      "Robust range: 397.77407283130566 - 1689.7679243628259 K\n",
      "Tref changed: 296.0K->1153.6267095763965K\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "uniqidx: 100%|██████████| 1/1 [00:00<00:00, 7516.67it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Premodit: Twt= 461.3329793405918 K Tref= 1153.6267095763965 K\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec.opacalc import OpaPremodit\n",
    "diffmode = 0\n",
    "opa = OpaPremodit(mdb=mdbCO,\n",
    "                      nu_grid=nus,\n",
    "                      diffmode=diffmode,\n",
    "                      auto_trange=[400.0, 1500.0])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute a cross section matrix, i.e. cross sections in all of the layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "xsm = opa.xsmatrix(Tarr, Parr)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DeviceArray([[1.47016232e-32, 1.48565634e-32, 1.50140347e-32, ...,\n",
       "              1.86423775e-35, 1.86310102e-35, 1.86308484e-35],\n",
       "             [1.85513450e-32, 1.87468595e-32, 1.89455653e-32, ...,\n",
       "              2.35215235e-35, 2.35137451e-35, 2.35123660e-35],\n",
       "             [2.34091428e-32, 2.36558562e-32, 2.39065925e-32, ...,\n",
       "              2.96747766e-35, 2.96720989e-35, 2.96697031e-35],\n",
       "             ...,\n",
       "             [2.50140371e-22, 2.50333571e-22, 2.50526616e-22, ...,\n",
       "              2.30743374e-23, 2.30652451e-23, 2.30561585e-23],\n",
       "             [2.36326890e-22, 2.36473336e-22, 2.36619707e-22, ...,\n",
       "              2.86537631e-23, 2.86427012e-23, 2.86316460e-23],\n",
       "             [2.23454067e-22, 2.23566292e-22, 2.23678481e-22, ...,\n",
       "              3.52741762e-23, 3.52609784e-23, 3.52477883e-23]],            dtype=float64)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xsm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, let's compute the opacity delta tau. Here, we need to assume gravity and Mass Mixing Ratio :)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from exojax.spec.rtransfer import dtauM\n",
    "g = 2478.57 # gravity\n",
    "MMR = 0.1\n",
    "dtau = dtauM(dParr, xsm, MMR * np.ones_like(Parr), molmassCO, g)"
   ]
  },
  {
   "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": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HITRAN exact name= (12C)(16O)\n",
      "Background atmosphere:  H2\n",
      "Reading .database/CO/12C-16O/Li2015/12C-16O__Li2015.trans.bz2\n",
      ".broad is used.\n",
      "Broadening code level= a0\n",
      "default broadening parameters are used for  71  J lower states in  152  states\n"
     ]
    }
   ],
   "source": [
    "#direct LPF for comparison\n",
    "\n",
    "#Reload mdb beacuse we need gpu_transfer for LPF. This makes big difference in the device memory use. \n",
    "mdbCO=api.MdbExomol('.database/CO/12C-16O/Li2015',nus, gpu_transfer=True)\n",
    "\n",
    "\n",
    "#we need sigmaDM for LPF\n",
    "from exojax.spec import doppler_sigma\n",
    "from jax import jit\n",
    "from exojax.spec.initspec import init_lpf\n",
    "from exojax.spec.lpf import xsmatrix as xsmatrix_lpf\n",
    "from exojax.spec.exomol import gamma_exomol\n",
    "from exojax.spec import gamma_natural\n",
    "from exojax.spec import SijT\n",
    "from jax import vmap\n",
    "\n",
    "qt = vmap(mdbCO.qr_interp)(Tarr)\n",
    "\n",
    "# Strength, Dopper width, and Lorentian width\n",
    "SijM=jit(vmap(SijT,(0,None,None,None,0)))\\\n",
    "    (Tarr,mdbCO.logsij0,mdbCO.nu_lines,mdbCO.elower,qt)\n",
    "sigmaDM=jit(vmap(doppler_sigma,(None,0,None)))\\\n",
    "        (mdbCO.nu_lines,Tarr,molmassCO)\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,:]\n",
    "\n",
    "numatrix=init_lpf(mdbCO.nu_lines,nus)\n",
    "xsmdirect=xsmatrix_lpf(numatrix,sigmaDM,gammaLM,SijM)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see the cross section matrix!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x288 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=(20,4))\n",
    "ax=fig.add_subplot(211)\n",
    "c=plt.imshow(np.log10(xsm),cmap=\"bone_r\",vmin=-23,vmax=-19)\n",
    "plt.colorbar(c,shrink=0.8)\n",
    "plt.text(50,30,\"PreMODIT\")\n",
    "\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": "code",
   "execution_count": 26,
   "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",
    "\n",
    "\n",
    "#also for LPF\n",
    "dtaumdirect=dtauM(dParr,xsmdirect,MMR*np.ones_like(Tarr),molmassCO,g)\n",
    "F0direct=rtrun(dtaumdirect,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": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "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=\"PreMODIT\")\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=\"PreMODIT\")\n",
    "plt.legend()\n",
    "#plt.ylim(-0.1,0.1)\n",
    "plt.ylabel(\"residual (%)\")\n",
    "plt.xlabel(\"wavelength ($\\AA$)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "applying an instrumental response and planet/stellar rotation to the raw spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kawahara/exojax/src/exojax/spec/response.py:22: UserWarning: rigidrot is deprecated and do not work for VJP. Use convolve_rigid_rotation instead.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "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",
    "Rinst=100000.\n",
    "beta=c/(2.0*np.sqrt(2.0*np.log(2.0))*Rinst) #IP sigma need check \n",
    "\n",
    "Frot=response.rigidrot(nus,F0,vsini,u1,u2)\n",
    "F=response.ipgauss_sampling(nusd,nus,Frot,beta,RV)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(22920.0, 23000.0)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "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": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.8 ('base')",
   "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"
  },
  "vscode": {
   "interpreter": {
    "hash": "72bc7f8b1808a6f5ada3c6a20601509b8b1843160436d276d47f2ba819b3753b"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}