Question

MATLAB , chapter 5

figure(n) Create new figure i# window, 3130%) When monochromatic light passes through a narrow slit it produces on a sCreen a diffraction pattern consisting of bright and dark fringes. The intensity of the bright fringes, I. as a fimc- tion of e can be calculated by Incident light sin c 2 where a TUCI sin e ax where A is the light wave length and a is the width of the slit. Plot the relative intensity 1/1 as a function of 0 for -20° se< 20°. ax Make one plot that contains three graphs for the case a = 102. a = 52, and a = . Label the axes, and display a legend

Answer 1

we knaw 180 20 -20 20 d =1OA Sin o - sino ar5A taking on t, a -X, n in Matlab Code Imay Codi is ven belaw

»t-linspace(-pi/9,pi/9); »x1-sin(t); » x2=pi*sin(t); »x3-5*pi*sin(t); »x4-10 pi*sin(t); »yl-(sin(x1)/x1)^2; »y2-(sin(x2)/x2)^2; »y3-(sin(x3)/x3)^2; y4-(sin(x4)/x4)^2; » plot(x1,y1,'gx2,y2,'r',x3,y3,'y',x4,y4,'c')

0.8 0.6 0.4 -- 0.2 0 -0.2 -0.4- 10 -0.6 -0.8 -5 -10 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 LC

red colored line represents y2,x2 plot

yellow colored line represents y3,x3 plot

cyan colored line represents y4,x4 plot