{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Loading Refractive Index Data\n",
"_written by Jaren Ashcraft_\n",
"\n",
"Polarization ray tracing is a core part of what Poke does, which requires a raytrace file, material data, and the _patience_ to simulate optical polarization. In this demo, we illustrate how we tried to make loading material data just one step easier. \n",
"\n",
"The folks at RefractiveIndex.INFO [1] have assembled an incredibly useful library of different optical materials and their properties. Not only that, but they made their database free to use and distribute under the [CC0 1.0 Universal Public Domain Dedication](https://creativecommons.org/publicdomain/zero/1.0/) so that other investigators can use it as they please.\n",
"\n",
"In Poke, we make use of this catalogue to provide our users with easilly-accessible material data that will enable polarization ray tracing simulations.\n",
"\n",
"**References**\n",
"- [1] M. N. Polyanskiy, \"Refractive index database,\" https://refractiveindex.info. Accessed on 2023-12-08."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A simple index model\n",
"Refractive index data is typically available on a nonuniform set of samples as a function of wavelength. In order to choose our sampling along this curve we use `scipy.interpolate` to create 1D splines of the data that are callable. We demonstrate a simple example of this here. \n",
"\n",
"To see the materials currently available in Poke, import `avail_materials` from `poke.materials`"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['Al', 'Ag', 'HfO2', 'SiO2', 'Ta2O5', 'TiO2', 'Nb2O5', 'SiN', 'MgF2', 'CaF2', 'LiF', 'Silica']\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from poke.materials import create_index_model, avail_materials\n",
"print(avail_materials)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Creating an index model is done by simply supplying one of the strings from this list to the `create_index_model` function, which generates a spline at the limits of the data."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# A simple Aluminum reflector\n",
"wvl = np.arange(0.4,1,0.01) # wavelength, microns\n",
"n_Al = create_index_model('Al')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**This function assumes that the supplied wavelength is in microns**. We can plot it and observe that the fit to the data is quite good."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pth_to_Al = '../../poke/material_data/Cheng_Al.csv'\n",
"Al_data = np.genfromtxt(pth_to_Al,skip_header=1,delimiter=',').T\n",
"n_Al_data = Al_data[1,:427]\n",
"k_Al_data = Al_data[1,428:]\n",
"wvl_data = Al_data[0,:427]\n",
"\n",
"n = np.real(n_Al(wvl))\n",
"k = np.imag(n_Al(wvl))\n",
"\n",
"plt.style.use('bmh') # because it's pretty\n",
"plt.figure()\n",
"plt.plot(wvl,n,label='n spline',linewidth=4)\n",
"plt.plot(wvl,k,label='k spline',linewidth=4)\n",
"plt.plot(wvl_data,n_Al_data,label='n data', linestyle='dashed')\n",
"plt.plot(wvl_data,k_Al_data,label='k data', linestyle='dashed')\n",
"plt.title('Refractive Index of Aluminum ' + r'$n + ik$')\n",
"plt.legend()\n",
"plt.xlabel('Wavelength, microns')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "gradfilms",
"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": "3.11.0"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}