| Date 06/09/2010 |
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| Script S4_2_7.m | |||
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%Multiple-beam interference %============================================== % %refractive index of the plate %a lower value n=1.4; %a higher value could be considered % n=1.85; %the wavelength 0.435 microns (the blue line of a mercury-vapor lamp) lambda=0.435; k=2*pi/lambda %the thickness of the plate in microns t=0.5e+003; %angles of incidence teta from 0° to 90° %and corresponding ones of refraction tetap1 %in degrees and in radians teta_g=0:5:90; teta=teta_g*(pi/180); tetap1=asin(sin(teta)/n); tetap1g=tetap1*180/pi; plot(teta_g,tetap1g,'ro-'),grid on title('angles of refraction varying angle of incidence from 0° to 90°') figure %maximum of m maxm=(k*n*t)/pi %the orders m m=0:1:3500; %arguments of the function arc cos argp2=(m*pi)/(k*n*t); %corresponding angles in radians and in degrees tetap2=acos(argp2) tetap2g=tetap2*180/pi; %plot of refraction angles used for interference function of m %see pag. 169 the definition of the optical path differences plot(m,tetap2g,'bd-'),grid on title('refraction angles used for interference varying m (see problem)') % %======================================================== %ATTENTION! %THE LAST REAL VALUE OF m IS 3219 %(change the value in book at pag. 172 from 3218 to 3219) %GREATER VALUES GIVES RISE TO COMPLEX VALUES OF m %======================================================== % %Answer when the angle of incidence is assigned equal to 14.1° %for m (now called zm) use the formula defining fi (the phase sfift) %at pag. 172 %Obviously we are not in an extreme condition zeta=14.1*pi/180; %corresponding angle of refraction zeta1=asin(sin(zeta)/n); zeta1g=zeta1*180/pi; fatt1=cos(zeta1) znum=2*n*500*fatt1 zm=znum/lambda %============================================== % |
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