Attenuation of laser beam with crossed polarisers and optical isolators.

Polarisation matrix.ipynb

{
 "metadata": {
  "name": "Polarisation matrix"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "from sympy import *\n\nQWP = Matrix([[1,0],\n              [0,-1j]])   # Quarter-WP\nLPH = Matrix([[1,0],\n              [0,0]])     # Linear polariser horizontal\nLPV = Matrix([[0,0],\n              [0,1]])     # Linear polariser horizontal\nLP45m = Matrix([[1,-1],\n                [-1,1]])  # Linear polariser @+45\nLP45p = Matrix([[1,1],\n                [1,1]])   # Linear polariser @-45\nREFL = Matrix([[1,0],\n               [0,-1]])   # Reflection flips polaristaion like a half-WP",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "Optical isolater scheme"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "LP45p*QWP*REFL*REFL*REFL*QWP*LP45m",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": "$$\\left[\\begin{smallmatrix}{}0 & 0\\\\0 & 0\\end{smallmatrix}\\right]$$",
       "metadata": {},
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAACUAAAAXBAMAAAB+ApuWAAAALVBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAdt3NMolEZlSrECLvmVCb\nLBYAAACWSURBVBgZY2AAAVFRZArMZg/gmABkQCmwEAOTA8MrIAtKMTAImTAwrNvAcAIoBqbYjRIY\nwoAcvwUM6nCKFS6mCBEDUjCxDQwHQWJgCiq2zoHhGVAMQkHFmBIg9oIpqBjjBbD7IBRUjCE2dgFQ\nL4SCiYEEYAAmhuxfqBiKf6FiTMj+hYoh+xfujwHwr5AK0FNI/mVUSgAA9S9Hg/PYtL4AAAAASUVO\nRK5CYII=\n",
       "prompt_number": 22,
       "text": "\u23a10  0\u23a4\n\u23a2    \u23a5\n\u23a30  0\u23a6"
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "Crossed polariser scheme"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "LPH*REFL*LPV",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": "$$\\left[\\begin{smallmatrix}{}0 & 0\\\\0 & 0\\end{smallmatrix}\\right]$$",
       "metadata": {},
       "output_type": "pyout",
       "png": "iVBORw0KGgoAAAANSUhEUgAAACUAAAAXBAMAAAB+ApuWAAAALVBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAdt3NMolEZlSrECLvmVCb\nLBYAAACWSURBVBgZY2AAAVFRZArMZg/gmABkQCmwEAOTA8MrIAtKMTAImTAwrNvAcAIoBqbYjRIY\nwoAcvwUM6nCKFS6mCBEDUjCxDQwHQWJgCiq2zoHhGVAMQkHFmBIg9oIpqBjjBbD7IBRUjCE2dgFQ\nL4SCiYEEYAAmhuxfqBiKf6FiTMj+hYoh+xfujwHwr5AK0FNI/mVUSgAA9S9Hg/PYtL4AAAAASUVO\nRK5CYII=\n",
       "prompt_number": 32,
       "text": "\u23a10  0\u23a4\n\u23a2    \u23a5\n\u23a30  0\u23a6"
      }
     ],
     "prompt_number": 32
    }
   ],
   "metadata": {}
  }
 ]
}