{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Fraunhoferova difrakcija na jednostrukoj pukotini\n", "#### Kod je pisan u Python programskom jeziku koristeći Jupyter notebook" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import math\n", "\n", "from scipy.fftpack import fft #paket za FFT\n", "from scipy.fftpack import ifftshift, fftshift\n", "\n", "from mpl_toolkits.mplot3d import Axes3D #paket za 3d plot\n", "plt.style.use('dark_background') # izbor boja za plot\n", "plt.rcParams['image.cmap'] = 'plasma'" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "def Fraunhofer_input(lambd,w,z):\n", " N=1048 #rezolucija\n", " L=5. # širina zaslona na kojem se javlja difrakciona slika\n", "\n", " lamb=lambd*10**(-9) #(mm) talasna dužina svjetlosti\n", " z=z/1000. #udaljenost pukotina - zaslon /mm\n", "# w #širina otvora (mm)\n", " k=2*np.pi/lamb \n", "\n", " delta_src=L/N #prostorna frekvencija\n", " \n", " #definisanje ravni otvora\n", " xv=np.linspace(-N/2,N/2-1,N)\n", " yv=np.linspace(-N/2,N/2-1,N)\n", " [x1,y1]=np.meshgrid(xv,yv)\n", " x1=x1*delta_src #(mm)\n", " y1=y1*delta_src # (mm) \n", " \n", " #definisati pukotinu\n", " X=np.where(np.abs(x1)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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A4PHHH8cXX3yBO+64Azk5OYiOjgYA3H333Th8+DAyMzOxe/du3Hzzzda0EhMT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\nAABJRU5ErkJggg==\n", 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A4PHHH8cXX3yBO+64Azk5OYiOjgYA3H333Th8+DAyMzOxe/du3Hzzzda0EhMT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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PLOTANJE difrakcione slike i intenziteta zračenja\n", "\n", "fig2=plt.figure(figsize=(11,10)) \n", "\n", "ax1=fig2.add_subplot(4,3,4)\n", "plt.title('(A) z = 0.5 m, w = 0.05 mm')\n", "plt.imshow(np.abs(u1))\n", "plt.ylim(460,588)\n", "plt.axis('off')\n", "plt.xlabel('(A)')\n", "\n", "ax2=fig2.add_subplot(4,3,5)\n", "plt.title('(B) z = 1.0 m, w = 0.025 mm')\n", "plt.imshow(np.abs(u2))\n", "plt.ylim(460,588)\n", "plt.xlabel('(B)')\n", "plt.axis('off')\n", "\n", "ax3=fig2.add_subplot(4,3,6)\n", "plt.title('(C) z = 1.0 m, w = 0.1 mm')\n", "plt.imshow(np.abs(u3))\n", "plt.ylim(460,588)\n", "plt.xlabel('(C)')\n", "plt.axis('off')\n", "\n", "ax4=fig2.add_subplot(2,1,2)\n", "plt.title('Fraunhoferova difrakcija - jednostruka pukotina')\n", "\n", "ax4_1=ax4.plot(x1,np.abs(I1),'r-')\n", "ax4_2=ax4.plot(x2,np.abs(I2),'b-')\n", "ax4_3=ax4.plot(x3,np.abs(I3),'y:')\n", "\n", "\n", "ax4.text(-0.3,0.5,'(A)', color='red',fontsize=16)\n", "ax4.text(0.22,0.5,'(B)', color='blue',fontsize=16)\n", "ax4.text(0.85,0.5,'(C)', color='yellow',fontsize=16)\n", "\n", "plt.xlabel('X(mm)')\n", "plt.ylabel('Relativni intenzitet')\n", "fig2.savefig('Fraunhofer_1slit.png')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }