{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Written by Sebastien Popoff\n", "# 29/10/2016\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib as mpl\n", "from matplotlib import rc\n", "rc('figure', figsize=(19,10))\n", "#rc('text', usetex=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## Parameters of the DMD\n", "d = 7.6 # pitch in microns\n", "theta = 12./180*np.pi\n", "theta_1D = np.arctan(np.tan(theta)/np.sqrt(2))\n", "## Wavelength\n", "_lambda = 1.550 # in microns\n", "## Incident angle\n", "alpha = 24./180*np.pi\n", "alpha_1D = np.arctan(np.tan(alpha)/np.sqrt(2))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## A simple criterion matching the diffraction angle and the reflection angle\n", "#mu = lambda x: 2.*d/_lambda *np.cos(x-theta_1D)*np.sin(theta_1D)\n", "_beta = lambda x: 2*theta_1D-x#np.arctan(np.tan(2*theta-x)/np.sqrt(2))\n", "mu = lambda x: 1.*d/_lambda *(np.sin(x)+np.sin(_beta(x)))\n", "# when mu is an integer, we are at a blazing angle with a maximum of energy at the order along the optical axis\n", "# whem mu is n+1/2, the enregy is spread over many diffraction orders not aligned with the optical axis" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# test different incident angles\n", "alpha_vec = np.linspace(-np.pi/2,np.pi/2,1000)\n", "alpha_1D_vec = np.arctan(np.tan(alpha_vec)/np.sqrt(2))\n", "criterion = np.abs(np.mod([mu(a) for a in alpha_1D_vec],1)-0.5)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bdzFSafVld79zkusD/BPBn2cQ+OVJWjOfIUiylYQxTbbyWEEws7XAr4x6OF6NdWu44lrc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(alpha_vec*180/np.pi,criterion,linewidth = 2)\n", "label = r' $\\alpha = \\theta$, $\\mu = %.2f$' % np.abs(np.mod(mu(theta_1D),1)-0.5)\n", "plt.plot([theta*180/np.pi,theta*180/np.pi],[0.,0.5],label = label,linewidth = 2)\n", "label = r'$\\alpha = 0$ or $\\alpha = 2\\theta$, $\\mu = %.4f$' % np.abs(np.mod(mu(2*theta_1D),1)-0.5)\n", "plt.plot([2*theta*180/np.pi,2*theta*180/np.pi],[0.,0.5],label = label,linewidth = 2)\n", "plt.plot([0,0],[0.,0.5],color = 'red',linewidth = 2)\n", "plt.xticks(np.arange(-90,90,10),fontsize = 25)\n", "plt.yticks(np.arange(0,0.55,0.05),fontsize = 25)\n", "plt.title(r'$d=%.1f\\mu m, \\lambda =%g nm$' % (d,1e3*_lambda),fontsize = 30)\n", "plt.legend(fontsize = 25,loc='center right')\n", "plt.ylabel(r'Blazing criterion $\\mu$', fontsize = 30)\n", "plt.xlabel(r'Incident angle $\\alpha$', fontsize = 30)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "## A full numerical simulation of the Fourier plane for an all-on configuration\n", "beta = -alpha +2*theta # reflection angle\n", "alpha_1D = np.arctan(np.tan(alpha)/np.sqrt(2))\n", "beta_1D = 2*theta_1D-alpha_1D#np.arctan(np.tan(beta)/np.sqrt(2))\n", "N = 20 # number of mirrors in each direction\n", "g = 2 # gap between pixels in micron\n", "res = 10 # pixels per mirror (for numerical calculation)\n", "Nx = N*res" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Pixelate image function\n", "f = np.ones([N,N]) # all-on configuration\n", "## Phase slope due to incident and reflection angle\n", "X,Y = np.meshgrid(np.arange(N),np.arange(N))\n", "phi = np.exp((X-Y)*complex(0,1)*2*np.pi/_lambda*d*(np.sin(alpha_1D)+np.sin(beta_1D)))\n", "## cell unit\n", "Cell = np.zeros([res,res])\n", "gpix = int(np.round(g/(2.*d)*res))\n", "Cell[gpix:res-gpix,gpix:res-gpix] = 1.\n", "## Mirror image\n", "MI = np.zeros([Nx,Nx],dtype='complex')\n", "for i in range(N):\n", " for j in range(N):\n", " MI[i*res:(i+1)*res,j*res:(j+1)*res]= f[i,j]*phi[i,j]*Cell\n", "plt.figure()\n", "plt.imshow(np.real(MI),interpolation = 'None')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VOK0BpO4jZVaRAJNbySukC//VqeubOi5t8/Tw1ehFQ2eJtOEEME16S2cYj6nX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\n4AgZI1SWC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## In the Fourier plane\n", "coeff = 5\n", "FP = np.fft.fftshift(np.fft.fft2(MI,s=[coeff*Nx,coeff*Nx]))\n", "ROIsize = 500\n", "ROI = 1\n", "plt.figure()\n", "plt.imshow((np.abs(FP[coeff*Nx//2-ROIsize//2:coeff*Nx//2+ROIsize//2,coeff*Nx//2-ROIsize//2:coeff*Nx//2+ROIsize//2])),interpolation = 'None')\n", "plt.clim([0,(np.max(np.abs(FP)))/1.5])\n", "plt.scatter(ROIsize//2, ROIsize//2, s=500, edgecolors='red',alpha = 0.5,c='yellow',linewidths= 3., marker='x')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "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" } }, "nbformat": 4, "nbformat_minor": 0 }