{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Layer from function and PhC Slab\n", "\n", "This example illustrate the use of a function to define the dieletric profile of the unit cell. This is then used to calculate reflection and transmission trhough a Photonic Crystal Slab with circular holes.\n", "\n", "The results presented here are respoduciton from the paper: **Fan, Shanhui, and John D. Joannopoulos. \"Analysis of guided resonances in photonic crystal slabs.\" Physical Review B 65.23 (2002): 235112** [10.1103/PhysRevB.65.235112](https://doi.org/10.1103/PhysRevB.65.235112).\n", "\n", "## Import packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import A_FMM" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Structure definition\n", "### Definition of dielectric function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@np.vectorize\n", "def eps_func(x,y, radius):\n", " if np.sqrt(x**2.0 + y**2.0) < radius:\n", " return 1.0\n", " return 12.0\n", "\n", "X, Y = np.meshgrid(np.linspace(-0.5, 0.5, 101), np.linspace(-0.5, 0.5, 101), indexing='ij')\n", "EPS = eps_func(X,Y, 0.2)\n", "fig, ax = plt.subplots(1,1, figsize = (8,8))\n", "_ = ax.contourf(X,Y,EPS)\n", "ax.set_xlabel('x'), ax.set_ylabel('y'), ax.set_aspect('equal', 'box'), ax.set_title('Unit cell epsilon from function')\n", "plt.colorbar(_, ax=ax, label='Epsilon')\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Definition of patterned layer" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/marco/Documents/MyPrograms/A_FMM/test_venv/lib/python3.10/site-packages/matplotlib/contour.py:1568: ComplexWarning: Casting complex values to real discards the imaginary part\n", " self.zmax = z.max().astype(float)\n", "/home/marco/Documents/MyPrograms/A_FMM/test_venv/lib/python3.10/site-packages/matplotlib/contour.py:1569: ComplexWarning: Casting complex values to real discards the imaginary part\n", " self.zmin = z.min().astype(float)\n", "/home/marco/Documents/MyPrograms/A_FMM/test_venv/lib/python3.10/site-packages/numpy/ma/core.py:2820: ComplexWarning: Casting complex values to real discards the imaginary part\n", " _data = np.array(data, dtype=dtype, copy=copy,\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 5\n", "slab = A_FMM.Layer_num(N, N, eps_func, args = (0.2,))\n", "_ = np.linspace(-1.5, 1.5, 301)\n", "eps = slab.calculate_epsilon(x=_, y=_)\n", "fig, ax = plt.subplots(1,1, figsize = (8,8))\n", "_ = ax.contourf(np.squeeze(eps['x']), np.squeeze(eps['y']), np.squeeze(eps['eps']))\n", "ax.set_xlabel('x'), ax.set_ylabel('y'), ax.set_aspect('equal', 'box'), ax.set_title('Epsilon from fourier expansion')\n", "plt.colorbar(_, ax=ax, label='Epsilon')\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Definition of uniform layer" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "air = A_FMM.Layer_uniform(N, N, eps=1.0)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Definition of 3D structure" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(Text(0.5, 0, 'y'),\n", " Text(0, 0.5, 'z'),\n", " ,\n", " Text(0.5, 1.0, 'YZ cross section'))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "st = A_FMM.Stack(\n", " layers= [air, slab, air],\n", " d = [1.0, 0.5, 1.0],\n", ")\n", "_1 = np.linspace(-1.5, 1.5, 301)\n", "_2 = np.linspace(0.0, 2.5, 251)\n", "eps = st.calculate_epsilon(x=_1, y=_1, z=_2)\n", "fig, ax = plt.subplots(1,3, figsize = (18,6))\n", "_ = ax[0].contourf(eps['x'][..., 125], eps['y'][..., 125], eps['eps'][..., 125])\n", "ax[0].set_xlabel('x'), ax[0].set_ylabel('y'), fig.colorbar(_, ax=ax[0]), ax[0].set_title('XY cross section')\n", "ax[1].contourf(eps['x'][:, 151, :], eps['z'][:, 151, :], eps['eps'][:, 151, :])\n", "ax[1].set_xlabel('x'), ax[1].set_ylabel('z'), fig.colorbar(_, ax=ax[1]), ax[1].set_title('XZ cross section')\n", "ax[2].contourf(eps['y'][151, ...], eps['z'][151, ...], eps['eps'][151, ...])\n", "ax[2].set_xlabel('y'), ax[2].set_ylabel('z'), fig.colorbar(_, ax=ax[2]), ax[2].set_title('YZ cross section')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Performing simulation\n", "### Running simulation and collecting results" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "freqs = np.linspace(0.25, 0.6, 701)\n", "T, R = [], []\n", "for freq in freqs:\n", " st.solve(freq)\n", " T.append(st.get_T(0,0))\n", " R.append(st.get_R(0,0))\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting results" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(Text(0.5, 0, 'Frequency ($2\\\\pi c/a$)'), Text(0, 0.5, 'Reflection'), None)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2,1, figsize = (18,12))\n", "ax[0].plot(freqs, T)\n", "ax[0].set_xlabel(r'Frequency ($2\\pi c/a$)'), ax[0].set_ylabel('Transmission'), ax[0].grid()\n", "ax[1].plot(freqs, R)\n", "ax[1].set_xlabel(r'Frequency ($2\\pi c/a$)'), ax[1].set_ylabel('Reflection'), ax[1].grid()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.10.6 64-bit", "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": "3.10.12" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" } } }, "nbformat": 4, "nbformat_minor": 2 }