documents/tutorials/CIA_opacity.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# CIA coefficient"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2022-10-20T05:38:57.455380Z",
"iopub.status.busy": "2022-10-20T05:38:57.455069Z",
"iopub.status.idle": "2022-10-20T05:39:03.291891Z",
"shell.execute_reply": "2022-10-20T05:39:03.291530Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"xsmode = lpf\n",
"xsmode assumes ESLOG in wavenumber space: xsmode=lpf\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",
"H2-H2\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/kawahara/exojax/src/exojax/spec/unitconvert.py:63: UserWarning: Both input wavelength and output wavenumber are in ascending order.\n",
" warnings.warn(\n",
"/home/kawahara/exojax/src/exojax/utils/grids.py:144: UserWarning: Resolution may be too small. R=433.86018742134854\n",
" warnings.warn(\"Resolution may be too small. R=\" + str(resolution), UserWarning)\n"
]
}
],
"source": [
"from exojax.utils.grids import wavenumber_grid\n",
"\n",
"nus, wav, res = wavenumber_grid(5000, 50000, 1000, unit=\"AA\", xsmode=\"lpf\")\n",
"from exojax.spec import contdb\n",
"\n",
"cdbH2H2 = contdb.CdbCIA(\".database/H2-H2_2011.cia\", nus)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"logacia can provide an absorption coeffcient as a function of temperature"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"execution": {
"iopub.execute_input": "2022-10-20T05:39:03.305164Z",
"iopub.status.busy": "2022-10-20T05:39:03.304882Z",
"iopub.status.idle": "2022-10-20T05:39:03.609317Z",
"shell.execute_reply": "2022-10-20T05:39:03.609635Z"
}
},
"outputs": [],
"source": [
"from exojax.spec.hitrancia import interp_logacia_vector\n",
"import jax.numpy as jnp\n",
"\n",
"Tfix = jnp.array([1000.0, 1300.0, 1600.0])\n",
"lc = interp_logacia_vector(Tfix, nus, cdbH2H2.nucia, cdbH2H2.tcia, cdbH2H2.logac)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"plotting... "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2022-10-20T05:39:03.612694Z",
"iopub.status.busy": "2022-10-20T05:39:03.612402Z",
"iopub.status.idle": "2022-10-20T05:39:04.265160Z",
"shell.execute_reply": "2022-10-20T05:39:04.264859Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.style.use(\"bmh\")\n",
"for i in range(0, len(Tfix)):\n",
" plt.plot(wav, lc[:, i], lw=1, label=str(int(Tfix[i])) + \" K\")\n",
"plt.axvspan(22876.0, 23010.0, alpha=0.3, color=\"green\")\n",
"plt.xlabel(\"wavelength ($\\\\AA$)\")\n",
"plt.ylabel(\"absorption coefficient ($cm^5$)\")\n",
"plt.legend()\n",
"plt.savefig(\"cia.png\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2022-10-20T05:39:04.274662Z",
"iopub.status.busy": "2022-10-20T05:39:04.274327Z",
"iopub.status.idle": "2022-10-20T05:39:04.326003Z",
"shell.execute_reply": "2022-10-20T05:39:04.325725Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"23858.80474469375"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#max value\n",
"import numpy as np\n",
"1.e8 / nus[np.argmax(lc[1, :])]\n"
]
}
],
"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": "3.9.19"
},
"vscode": {
"interpreter": {
"hash": "72bc7f8b1808a6f5ada3c6a20601509b8b1843160436d276d47f2ba819b3753b"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}