{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plane wave expansion for a 2D photonic crystal" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from legume import PlaneWaveExp, Circle, ShapesLayer, Lattice, viz\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define 2D photonic crystal\n", "\n", "In this notebook we will reproduce the modes for one of the structures discussed in Chapter 5 from \"Photonic Crystals: Molding the Flow of Light\" - the photonic crystal bible by John D. Joannopoulos, Steven Johnson, Joshua Winn and Robert Meade.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define parameters as for Chapter 5, Fig. 2 from Molding the Flow of Light\n", "ra = 0.2 # cylinder radius\n", "eps_c = 8.9 # cylinder permittivity\n", "\n", "# Initialize lattice\n", "lattice = Lattice('square')\n", "# Initialize layer\n", "layer = ShapesLayer(lattice)\n", "# Add a cylinder to the layer\n", "layer.add_shape(Circle(r=ra, eps=eps_c))\n", "# Visualize the structure\n", "viz.eps(layer, cbar=True)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize the BZ bath as in Chapter 5, Fig. 2\n", "path = lattice.bz_path(['G', 'X', 'M', 'G'], [20])\n", "\n", "# Initialize the plane-wave expansion and visualize the FT of the structure\n", "pwe = PlaneWaveExp(layer, gmax=5)\n", "viz.eps_ft(pwe, figsize = (4, 3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute the photonic bands" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run the plane-wave expansion for the two separate polarizations and store the bands\n", "pwe.run(kpoints=path['kpoints'], pol='te')\n", "freqs_te = pwe.freqs\n", "pwe.run(kpoints=path['kpoints'], pol='tm')\n", "freqs_tm = pwe.freqs\n", "\n", "# Plot the results\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(5, 4))\n", "plt.plot(freqs_te, 'r')\n", "plt.plot(freqs_tm, 'b')\n", "ax.set_ylim([0, 0.8])\n", "ax.set_xlim([0, pwe.freqs.shape[0]-1])\n", "ax.set_ylabel(\"$\\omega a/2\\pi c$\")\n", "\n", "# The `path` dict provides some useful functionality for labeling of the BZ path\n", "plt.xticks(path['indexes'], path['labels'])\n", "ax.xaxis.grid('True')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare this to Chapter 5, Fig. 2 from \"Molding the Flow of Light\"\n", "\n", "![bands](img/pwe_phc_bands.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visuzlize the field of a mode\n", "\n", "We can also plot the fields and compare to Fig. 3 of the book. Note that all fields are always continuous in wave-expansion methods, but the discontinuities are captured better and better with increasing the truncation of the Fourier basis (here by increasing `gmax`)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compare to Chapter 5, Fig. 3, middle row\n", "viz.field(pwe, field='d', kind=20, mind=0,\n", " component='z', val='im', N1=100, N2=100, cbar=True, eps=True);\n", "viz.field(pwe, field='d', kind=20, mind=1,\n", " component='z', val='re', N1=100, N2=100, cbar=True, eps=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the book:\n", "\n", "![modes](img/pwe_phc_modes.png)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }