documents/tutorials/jupiters/Jupiter_cloud_model_using_amp.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Foward Modeling of Jupiter-like Ammonia Clouds and Its Reflection Spectrum "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note:\n",
"\n",
"To run this tutorial, you need to install PyMieScatt.\n",
"\n",
"`pip install PyMieScatt`\n",
"\n",
"See https://pymiescatt.readthedocs.io/en/latest/"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import jax.numpy as jnp\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sets the wavenumber range and the atmosphere model"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"xsmode = premodit\n",
"xsmode assumes ESLOG in wavenumber space: mode=premodit\n",
"======================================================================\n",
"The wavenumber grid should be in ascending order.\n",
"The users can specify the order of the wavelength grid by themselves.\n",
"Your wavelength grid is in *** descending *** order\n",
"======================================================================\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/kawahara/exojax/src/exojax/utils/grids.py:142: UserWarning: Resolution may be too small. R=4342.510524550615\n",
" warnings.warn('Resolution may be too small. R=' + str(resolution),\n",
"/home/kawahara/exojax/src/exojax/spec/dtau_mmwl.py:14: FutureWarning: dtau_mmwl might be removed in future.\n",
" warnings.warn(\"dtau_mmwl might be removed in future.\", FutureWarning)\n"
]
}
],
"source": [
"from exojax.utils.grids import wavenumber_grid\n",
"\n",
"N = 10000\n",
"nus, wav, res = wavenumber_grid(10**3, 10**4, N, xsmode=\"premodit\")\n",
"\n",
"from exojax.spec.atmrt import ArtReflectPure\n",
"from exojax.utils.astrofunc import gravity_jupiter\n",
"\n",
"art = ArtReflectPure(nu_grid=nus, pressure_btm=1.0e2, pressure_top=1.0e-3, nlayer=100)\n",
"art.change_temperature_range(80.0, 400.0)\n",
"Tarr = art.powerlaw_temperature(150.0, 0.2)\n",
"Parr = art.pressure\n",
"mu = 2.3 # mean molecular weight\n",
"gravity = gravity_jupiter(1.0, 1.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`pdb` is a class for particulates databases. We here use `PdbCloud` for NH3, i.e. `pdb` for the ammonia cloud. \n",
"PdbCloud uses the refraction (refractive) indice given by VIRGA. \n",
"\n",
"\n",
"The precomputed grid of the Mie parameters assuming a log-normal distribution is called `miegrid`. This can be computed pdb.generate_miegrid if you do not have it. To compute `miegrid`, we use PyMieScatt as a calculator. \n",
"\n",
"You can also choose not to use `miegrid`. Instead, we compute the Mie parameters using `PyMieScatt` one by one. This mode cannot be used for the retrieval, but is useful for a one-time modeling, (a.k.a forward modeling) of the spectrum.\n",
"\n",
"Also, `amp` is a class for atmospheric micorphysics. AmpAmcloud is the class for the Akerman and Marley 2001 cloud model (AM01). We adopt the background atmosphere to hydorogen atmosphere."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
".database/particulates/virga/virga.zip exists. Remove it if you wanna re-download and unzip.\n",
"Refractive index file found: .database/particulates/virga/NH3.refrind\n",
"Miegrid file does not exist at .database/particulates/virga/miegrid_lognorm_NH3.mg.npz\n",
"Generate miegrid file using pdb.generate_miegrid if you use Mie scattering\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/kawahara/exojax/src/exojax/atm/atmphys.py:50: UserWarning: min temperature 80.0 K is smaller than min(vfactor t range) 179.10000610351562 K\n",
" warnings.warn(\n"
]
}
],
"source": [
"from exojax.spec.pardb import PdbCloud\n",
"from exojax.atm.atmphys import AmpAmcloud\n",
"\n",
"pdb_nh3 = PdbCloud(\"NH3\")\n",
"#pdb_nh3.generate_miegrid() # when you use the miegrid\n",
"#pdb_nh3.load_miegrid() # when you use the miegrid\n",
"\n",
"amp_nh3 = AmpAmcloud(pdb_nh3,bkgatm=\"H2\")\n",
"amp_nh3.check_temperature_range(Tarr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The substance density of the condensate is given by `condensate_substance_density`. Do not confuse it with the density of the condensates in the atmosphere. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"rhoc = pdb_nh3.condensate_substance_density #g/cc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sets the parameters in the AM01 cloud model. `calc_ammodel` method computes the vertical distribution of `rg` and the condensate volume mixing ratio."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from exojax.utils.zsol import nsol\n",
"from exojax.atm.mixratio import vmr2mmr\n",
"from exojax.spec.molinfo import molmass_isotope\n",
"\n",
"n = nsol() #solar abundance\n",
"abundance_nh3 = n[\"N\"]\n",
"molmass_nh3 = molmass_isotope(\"NH3\", db_HIT=False)\n",
"\n",
"fsed = 10.\n",
"sigmag = 2.0\n",
"Kzz = 1.e4\n",
"MMRbase_nh3 = vmr2mmr(abundance_nh3, molmass_nh3, mu) \n",
"\n",
"rg_layer, MMRc = amp_nh3.calc_ammodel(Parr, Tarr, mu, molmass_nh3, gravity, fsed, sigmag, Kzz, MMRbase_nh3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following is just to convert MMR to g/L."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"from exojax.atm.idealgas import number_density\n",
"from exojax.utils.constants import m_u\n",
"fac = molmass_nh3*m_u*number_density(Parr,Tarr)*1.e3 #g/L "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plots rg, MMR, and the cloud density (g/L).\n",
"Note that the cloud density agrees with Figure 2 of HU ApJ 887, 166 (2019)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
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",
"text/plain": [
"<Figure size 1500x500 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"fig = plt.figure(figsize=(15,5))\n",
"ax = fig.add_subplot(131)\n",
"plt.plot(rg_layer,Parr)\n",
"plt.xlabel(\"rg (cm)\")\n",
"plt.ylabel(\"pressure (bar)\")\n",
"plt.yscale(\"log\")\n",
"ax.invert_yaxis()\n",
"ax = fig.add_subplot(132)\n",
"plt.plot(MMRc,Parr)\n",
"plt.xlabel(\"condensate MMR\")\n",
"plt.yscale(\"log\")\n",
"plt.xscale(\"log\")\n",
"plt.xlim(1e-12, 1e-2)\n",
"ax.invert_yaxis()\n",
"ax = fig.add_subplot(133)\n",
"plt.plot(fac*MMRc,Parr)\n",
"plt.xlabel(\"condensate density g/L\")\n",
"plt.yscale(\"log\")\n",
"plt.xscale(\"log\")\n",
"plt.xlim(1e-8, 1e-2)\n",
"ax.invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`rg` is almost constant through the vertical distribution. So, let's set a mean value here. \n",
"\n",
"If you've already generated the miegrid, `miegrid_interpolated_value` method interpolates the original parameter set given by MiQ_lognormal in PyMieScatt. \n",
"See https://pymiescatt.readthedocs.io/en/latest/forward.html#Mie_Lognormal. The number of the original parameters are seven, Bext, Bsca, Babs, G, Bpr, Bback, and Bratio. \n",
"\n",
"If not yet, `opa.mieparams_vector_direct_from_pymiescatt` directly calls the PyMieScatt and computes the Mie parameters."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"rg = 1e-5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plots the extinction coefficient for instance (index=0) and some approximation from the Kevin Heng's textbook ."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To handle the opacity for Mie scattering, we call `OpaMie` class as `opa`. \n",
"The mie parameters can be derived by `mieparams_vector` method, which returns $\\beta_0$: the extinction coefficient of the reference number density $N_0$, $\\omega$: a single scattering albedo , and $g$: the asymmetric parameter."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 131/131 [00:28<00:00, 4.59it/s]\n"
]
}
],
"source": [
"\n",
"from exojax.spec.opacont import OpaMie\n",
"opa = OpaMie(pdb_nh3, nus)\n",
"#sigma_extinction, sigma_scattering, asymmetric_factor = opa.mieparams_vector(rg,sigmag) # if using MieGrid\n",
"sigma_extinction, sigma_scattering, asymmetric_factor = opa.mieparams_vector_direct_from_pymiescatt(rg, sigmag)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plt.plot(pdb_nh3.refraction_index_wavenumber, miepar[50,:,0])\n",
"fig = plt.figure(figsize=(10,5))\n",
"ax = fig.add_subplot(311)\n",
"plt.plot(nus, asymmetric_factor, color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$g$\")\n",
"ax = fig.add_subplot(312)\n",
"plt.plot(nus, sigma_scattering/sigma_extinction, label=\"single scattering albedo\", color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$\\\\omega$\")\n",
"ax = fig.add_subplot(313)\n",
"plt.plot(nus, sigma_extinction, label=\"ext\", color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.yscale(\"log\")\n",
"plt.xlabel(\"wavenumber (cm-1)\")\n",
"plt.ylabel(\"$\\\\beta_0$\")\n",
"plt.savefig(\"miefig.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reflection spectrum"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The opacity of the lognormal cloud model can be computed using `opacity_profile_cloud_lognormal` method in `art`."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"dtau = art.opacity_profile_cloud_lognormal(sigma_extinction, rhoc, MMRc, rg, sigmag, gravity)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To compute the reflection spectrum, we need the single scattering albedo, asymmetric parameter (known as g, but confusing from gravity), and the surface reflectivity."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"single_scattering_albedo = sigma_scattering[None,:]/sigma_extinction[None,:] + np.zeros((len(art.pressure), len(nus)))\n",
"asymmetric_parameter = asymmetric_factor + np.zeros((len(art.pressure), len(nus)))\n",
"reflectivity_surface = np.zeros(len(nus))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The incoming flux is normalized to 1. So, the output should be refelectivity."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"incoming_flux = np.ones(len(nus))\n",
"Fr = art.run(dtau,single_scattering_albedo,asymmetric_parameter,reflectivity_surface,incoming_flux)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are the results."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'wavenumber (cm-1)')"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1500x700 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(15,7))\n",
"ax = fig.add_subplot(411)\n",
"plt.plot(nus, asymmetric_factor, color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$g$\")\n",
"ax = fig.add_subplot(412)\n",
"plt.plot(nus, sigma_scattering/sigma_extinction, label=\"single scattering albedo\", color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$\\\\omega$\")\n",
"ax = fig.add_subplot(413)\n",
"plt.plot(nus, sigma_extinction, label=\"ext\", color=\"black\")\n",
"plt.xscale(\"log\")\n",
"plt.yscale(\"log\")\n",
"plt.xlabel(\"wavenumber (cm-1)\")\n",
"plt.ylabel(\"$\\\\beta_0$\")\n",
"ax = fig.add_subplot(414)\n",
"plt.plot(nus,Fr)\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"Reflectivity\")\n",
"plt.xlabel(\"wavenumber (cm-1)\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "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": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}