{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An simple example of calculating the Transmission and Reflection spectrum of a layered strcuture\n", "TiO2/Ag/TiO2 Sandwich structure that improve the Transmission of Ag layer" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.constants import c\n", "from layerlumos.utils import load_material, interpolate_material\n", "from layerlumos.layerlumos import stackrt, stackrt0\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "TiO2_data = load_material('TiO2')\n", "\n", "# Define wavelength range (in meters)\n", "wavelengths = np.linspace(300e-9, 900e-9, 100) # 100 points from 300nm to 700nm\n", "frequencies = c / wavelengths # Convert wavelengths to frequencies\n", "\n", "# Interpolate n and k values for TiO2 over the specified frequency range\n", "n_k_TiO2 = interpolate_material(TiO2_data, frequencies)\n", "n_TiO2 = n_k_TiO2[:, 0] + 1j*n_k_TiO2[:, 1] # Combine n and k into a complex refractive index\n", "\n", "# Define stack configuration\n", "n_air = np.ones_like(frequencies) # Refractive index of air\n", "d_air = np.array([0])\n", "d_TiO2 = np.array([2e-8])\n", "\n", "# Stack refractive indices and thicknesses for air-TiO2-air\n", "n_stack = np.vstack([n_air, n_TiO2, n_air]).T # Transpose to match expected shape (Nlayers x Nfreq)\n", "d_stack = np.vstack([d_air, d_TiO2, d_air]) # No frequency dependence on thickness\n", "\n", "# Calculate R and T over the frequency (wavelength) range\n", "R_TE, T_TE, R_TM, T_TM = stackrt0(n_stack, d_stack, frequencies)\n", "\n", "# Calculate average R and T\n", "T_avg = (T_TE + T_TM) / 2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(wavelengths * 1e9, T_avg, label='Transmission (T)')\n", "plt.xlabel('Wavelength (nm)')\n", "plt.ylabel('Coefficient Value')\n", "plt.title('Reflection and Transmission for Air-TiO2-Air Stack')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "TiO2_data = load_material('TiO2')\n", "Ag_data = load_material('Ag')\n", "\n", "# Define wavelength range (in meters)\n", "wavelengths = np.linspace(300e-9, 900e-9, 100) # 100 points from 300nm to 700nm\n", "frequencies = c / wavelengths # Convert wavelengths to frequencies\n", "\n", "# Interpolate n and k values for TiO2 over the specified frequency range\n", "n_k_TiO2 = interpolate_material(TiO2_data, frequencies)\n", "n_TiO2 = n_k_TiO2[:, 0] + 1j*n_k_TiO2[:, 1] # Combine n and k into a complex refractive index\n", "n_k_Ag = interpolate_material(Ag_data, frequencies)\n", "n_Ag = n_k_Ag[:, 0] + 1j*n_k_Ag[:, 1] # Combine n and k into a complex refractive index\n", "\n", "# Define stack configuration\n", "n_air = np.ones_like(frequencies) # Refractive index of air\n", "d_air = np.array([0])\n", "d_TiO2 = np.array([2e-8])\n", "d_Ag = np.array([1e-8]) # Thickness of TiO2 layer in meters (e.g., 2 microns)\n", "\n", "# Stack refractive indices and thicknesses for air-TiO2-air\n", "n_stack = np.vstack([n_air, n_TiO2, n_Ag, n_TiO2, n_air]).T # Transpose to match expected shape (Nlayers x Nfreq)\n", "d_stack = np.vstack([d_air, d_TiO2, d_Ag, d_TiO2, d_air]) # No frequency dependence on thickness\n", "\n", "# Calculate R and T over the frequency (wavelength) range\n", "R_TE, T_TE, R_TM, T_TM = stackrt0(n_stack, d_stack, frequencies)\n", "\n", "# Calculate average R and T\n", "R_avg = (R_TE + R_TM) / 2\n", "T_avg = (T_TE + T_TM) / 2\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(wavelengths * 1e9, R_avg, label='Reflection (R)')\n", "plt.plot(wavelengths * 1e9, T_avg, label='Transmission (T)')\n", "plt.xlabel('Wavelength (nm)')\n", "plt.ylabel('Coefficient Value')\n", "plt.title('Reflection and Transmission for Air-TiO2-Air Stack')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] } ], "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 2 }