{ "cells": [ { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from scipy.interpolate import interp1d\n", "\n", "# Just for plotting\n", "plt.style.use('ggplot')\n", "# Default params\n", "params = {\n", " 'image.origin':'lower',\n", " 'image.interpolation':'nearest',\n", " 'image.cmap':'magma',\n", " 'axes.titlesize':22,\n", " 'font.size':14,\n", " 'xtick.labelsize':20,\n", " 'ytick.labelsize':20,\n", " 'lines.linewidth':4,\n", " 'font.family':'sans serif',\n", " 'axes.labelsize':30,\n", "}\n", "mpl.rcParams.update(params)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating Multilayer Thin Films\n", "\n", "Thin films optical filters let us control reflection, transmission, bandwidth, and polarization. Unfortunately, they are also the primary cause of polarization aberrations. Due to their relevance in polarization ray tracing, we've implemented the ability to compute the effective fresnel reflection coefficients given a thin film multilayer stack. These can also be used in polarization ray tracing calculations to understand how their presence impacts the Jones pupil. Currently Poke supports the characteristic matrix method outlined in the BYU Optics Book [1] by Peatross and Ware $^{*}$ (It's free and great, please check it out). In this demo we go into how to use Poke to simulate the complex amplitude coefficients of a multilayer stack, and then use Python to optimize the stack to become a long-pass filter. \n", "\n", "\n", "$^{*}$ Past versions of Poke have used the Macleod [2] characteristic matrix algorithm, but they produce identical results (with opposite phases), so the choice between the two is more about your phase sign convention than anything else.\n", "\n", "**References**\n", "- [1] J. Peatross and M. Ware, Physics of Light and Optics, 2015 edition, available at optics.byu.edu\n", "- [2] A. H. Macleod, Thin-film Optical Filters, 1969 edition, Taylor and Francis" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We begin by loading some material data. Poke includes a limited selection of material data from refractiveindex.info (another great, free resources). One day we will have a more formal material catalogue, but for now - please bear with me as I parse some csv's." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Load in some coatings\n", "pth = '/Users/jashcraft/Desktop/poke/material_data/'\n", "pth_to_SiN = pth+'Philipp_SiN.csv'\n", "dat_SiN = np.genfromtxt(pth_to_SiN,delimiter=',',skip_header=1)[:500].T\n", "n_SiN = interp1d(dat_SiN[0],dat_SiN[1])\n", "\n", "pth_MgF2 = pth+'Rodriguez-de Marcos_MgF2.csv'\n", "dat_MgF2 = np.genfromtxt(pth_MgF2,delimiter=',',skip_header=1)[:962].T\n", "kdat_MgF2 = np.genfromtxt(pth_MgF2,delimiter=',',skip_header=1)[964:].T\n", "nd_MgF2 = interp1d(dat_MgF2[0],dat_MgF2[1])\n", "k_MgF2 = interp1d(kdat_MgF2[0],kdat_MgF2[1])\n", "n_MgF2 = lambda wave: nd_MgF2(wave) + 1j*k_MgF2(wave)\n", "\n", "# generate some wavelengths\n", "wvl = np.arange(500,1000,10)*1e-3\n", "\n", "plt.figure(figsize=[10,10])\n", "plt.plot(wvl*1e3,nd_MgF2(wvl),label='n - MgF2')\n", "plt.plot(wvl*1e3,k_MgF2(wvl),label='k - MgF2')\n", "plt.plot(wvl*1e3,n_SiN(wvl),label='n - SiN')\n", "plt.legend()\n", "plt.title('Coating Refractive Indices')\n", "plt.xlabel('Wavelength [nm]')\n", "plt.ylabel('n')\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "These coatings were chosen to have a \"high\" and a \"low\" refractive index. The interaction of a given coating interface is directly related to the difference in refractive index, so this makes our coatings a little \"stronger\". \n", "\n", "The next step is to load these data into a format that makes Poke happy. For stacks, we use a list of tuples of the format [(index_1,thickness_1),(index_2,thickness_2),...,(index_N,thickness_N),(substrate_index)]. Note that the final element of the list must be the substrate index. We will arbitrarily choose to use a 50nm thickness for each of the layers, and send the inputs to the `poke.thinfilms.compute_thin_films_broadcasted` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from poke.thinfilms import compute_thin_films_broadcasted\n", "aoi = 45\n", "stack = [\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (n_SiN(wvl),np.full_like(wvl,50e-3)),\n", " (n_MgF2(wvl),np.full_like(wvl,50e-3)),\n", " (1.5)\n", "]\n", "\n", "aoi = np.full_like(wvl,aoi)\n", "\n", "rs,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5)\n", "rp,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5,polarization='p')\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We used 20 coating layers alternating between a high and low refractive index. This was done without much consideration for what the actual reflectance is, so we plot it below. It isn't terribly exciting, but might make a neat mix of colors. Let's see if we can optimize it to make a long-pass filter." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[10,10])\n", "plt.title('Reflectance v.s. Wavelength')\n", "plt.ylabel('Reflectance')\n", "plt.xlabel('Wavelength [nm]')\n", "plt.plot(wvl*1e3,np.abs(rs)**2,label='Rs')\n", "plt.plot(wvl*1e3,np.abs(rp)**2,label='Rp')\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To do so we need only construct a cost function for the `scipy.optimize.minimize` library, and a starting point (we'll use the one above for fun). We construct the cost function to maximize reflectance after 600nm and minmize reflectance short of 600nm." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from scipy.optimize import minimize\n", "\n", "def costfunc(a):\n", "\n", " aoi = 45\n", " wvl = np.arange(500,1000,5)*1e-3\n", " stack = [\n", " (n_SiN(wvl),np.full_like(wvl,a[0])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[1])),\n", " (n_SiN(wvl),np.full_like(wvl,a[2])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[3])),\n", " (n_SiN(wvl),np.full_like(wvl,a[4])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[5])),\n", " (n_SiN(wvl),np.full_like(wvl,a[6])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[7])),\n", " (n_SiN(wvl),np.full_like(wvl,a[8])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[9])),\n", " (n_SiN(wvl),np.full_like(wvl,a[10])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[11])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[12])),\n", " (n_SiN(wvl),np.full_like(wvl,a[13])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[14])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[15])),\n", " (n_SiN(wvl),np.full_like(wvl,a[16])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[17])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[18])),\n", " (n_SiN(wvl),np.full_like(wvl,a[19])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[20])),\n", " (1.5)\n", " ]\n", "\n", " aoi = np.full_like(wvl,aoi)\n", "\n", " rs,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5)\n", " rp,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5,polarization='p')\n", " R = (np.abs(rs)**2 + np.abs(rp)**2)/2\n", "\n", " # The cost function\n", " short = R[wvl<0.6]\n", " long = 1 - R[wvl>=0.6]\n", " cost_short = np.sum(short**2)\n", " cost_long = np.sum(long**2)\n", " cost = (cost_short + cost_long)/R.size\n", "\n", " return cost\n", "\n", "a = np.zeros(21)\n", "a[:] = 50e-3\n", "results = minimize(costfunc,a,method='BFGS',options={'maxiter':100})" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we just re-evaluate this to return the results!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "aoi = 45\n", "a = results.x\n", "wvl = np.arange(500,1000,5)*1e-3\n", "stack = [\n", " (n_SiN(wvl),np.full_like(wvl,a[0])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[1])),\n", " (n_SiN(wvl),np.full_like(wvl,a[2])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[3])),\n", " (n_SiN(wvl),np.full_like(wvl,a[4])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[5])),\n", " (n_SiN(wvl),np.full_like(wvl,a[6])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[7])),\n", " (n_SiN(wvl),np.full_like(wvl,a[8])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[9])),\n", " (n_SiN(wvl),np.full_like(wvl,a[10])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[11])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[12])),\n", " (n_SiN(wvl),np.full_like(wvl,a[13])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[14])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[15])),\n", " (n_SiN(wvl),np.full_like(wvl,a[16])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[17])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[18])),\n", " (n_SiN(wvl),np.full_like(wvl,a[19])),\n", " (n_MgF2(wvl),np.full_like(wvl,a[20])),\n", " (1.5)\n", "]\n", "\n", "aoi = np.full_like(wvl,aoi)\n", "\n", "rs,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5)\n", "rp,_ = compute_thin_films_broadcasted(stack,np.radians(aoi),wvl,substrate_index=1.5,polarization='p')\n", "R = (np.abs(rs)**2 + np.abs(rp)**2)/2" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[12,10])\n", "plt.title('20-layer long-pass filter',fontsize=32)\n", "plt.plot(wvl*1e3,R,label='R')\n", "plt.plot(wvl*1e3,np.abs(rs)**2,label='Rs')\n", "plt.plot(wvl*1e3,np.abs(rp)**2,label='Rp')\n", "plt.legend()\n", "plt.ylabel('Reflectance',fontsize=28)\n", "plt.xlabel('Wavelength [nm]',fontsize=28)\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And it does exactly what we wanted! This is a relatively simple and brute-force method of designing optical filters, but it is nice the Poke has the flexibility to set up the design platform in Python. In future demos we will illustrate:\n", "- how to use one of these filters in polarization ray tracing\n", "- setting up the problem to be differentiable using Jax\n", "- faster optimization on GPUs" ] }, { "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": "3.8.8" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }