{
"metadata": {
"name": "",
"signature": "sha256:f4049af615a127fe3d3a56cfb6ee4c15193f7fb38b0c9b80194f314ccc094105"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![](\"Etalon-2.svg\")
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$T = \\frac{1}{1+F\\sin^2(\\delta/2)}$$\n",
"$$ F = \\frac{4R}{(1-R)^2}$$\n",
"$$\\delta = \\frac{2\\pi}{\\lambda}2nl\\cos\\theta$$ is the phase difference between successive transmitted pair"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"from ipywidgets import StaticInteract, RangeWidget"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = np.linspace(-4*np.pi,4*np.pi,501)\n",
"def plot(r):\n",
" fig, ax = plt.subplots(figsize=(5, 5),\n",
" subplot_kw={'axisbg':'#EEEEEE',\n",
" 'axisbelow':True})\n",
" ax.grid(color='w', linewidth=2, linestyle='solid')\n",
" F = 4*r/(1-r)**2\n",
" ax.plot(x,1/(1+F*np.sin(x/2)**2), lw=5, alpha=0.4)\n",
" #ax.set_xlim(-50, 50)\n",
" ax.set_title('plot of transmittance vs phase and reflectance')\n",
" ax.set_xlabel('delta')\n",
" ax.set_ylabel('transmittance')\n",
" ax.set_ylim(0, 1)\n",
" return fig"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"StaticInteract(plot,r=RangeWidget(0.0, 1.0, 0.1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
" \n",
" \n",
" \n",
" \n",
"
\n",
"
![](\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUwAAAFRCAYAAAAfJpQaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",)
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
\n",
" \n",
"
r: \n",
"