{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "from ipywidgets import *\n", "from IPython.display import display\n", "from em_examples.Reflection import PowerReflection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Title: Reflection and Refraction of plane waves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Purpose\n", "\n", "Electromagnetic waves are reflected and refracted at a plane interface separating media of different electrical properties. Essential items to understand here are:\n", "\n", "- What are TE and TM modes for reflection, and refraction\n", "- How reflection and refraction changes due to incidient angle and electrical parameters\n", "- Total reflection\n", "- Brewster angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Set up\n", "\n", "A plane wave is reflected and refracted at a plane wave interface. Here $\\mathbf{k}$ is wave propagation consant, which is a vector. We consider two different modes:\n", "\n", "- Transverse electric (TE): No vertical electric field \n", "- Transverse magnetic (TM): No vertical magnetic field \n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TE mode\n", "\n", "Electric field ($\\mathbf{E}$) is transverse to the plane of incidence (No vertical electric field)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TM mode\n", "\n", "Magnetic field ($\\mathbf{H}$) is transverse to the plane of incidence (No vertical electric field)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Reflection and Transmision app\n", "\n", "## Parameters\n", "\n", "- $\\sigma_1$: Conductivity of the first layer (S/m)\n", "\n", "- $\\sigma_2$: Conductivity of the first layer (S/m)\n", "\n", "- $f$ (Hz): Frequency (Hz)\n", "\n", "- Type: \n", "\n", " - Reflection: Transmission power as a function of incident angle \n", " - Transmission: Transmission power as a function of incident angle \n", " - Angle: relationship between $\\theta_i$ and $\\theta_t$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1kraVtn7o0CEOHDhQuBw8eDDkdWnbDx8+7PflAyA1NZX09HTq1atHvXr1Siy+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\naI8esPXW1ckm0p66KtZShdpxwFRghJdoOnT3eYQBB0PMbL2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NgGbgTWBa8fYcnNd1kudN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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Q = interact(PowerReflection\n", " , sig1 = FloatText(value=0., description=\"$\\sigma_1$\")\n", " , sig2 = FloatText(value=1e-2, description=\"$\\sigma_2$\")\n", " , f = FloatText(value=6e5, description=\"$f$ (Hz)\")\n", " , Type = ToggleButtons(options=[\"Reflection\", \"Transmission\", \"Angle\"])\n", " )" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" }, "widgets": { "state": { "8d55e68de241408dad272f61b93ee653": { "views": [ { "cell_index": 9 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 1 }