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Date 06/09/2010
Script S5_2_10.m
Download Script S5_2_10.m
%==============================================
%Young 9
%==============================================
%
%the distance L (in mm)
L=1000;
%distance d, width h and wavelength lambda in microns
d=50;
h=10;
lambda=0.5;
k=2*pi/lambda;
%thickness of the films in microns
s=10;
%refractive indexes of the films
n1=1.78;
n2=1.42;
%orders between -8 and 23
m=-8:1:23
%==============================================
%vertical positions of the fringes
%==============================================
%see the problem Sec.5.2.10 for definitions
%of the following formulae
%
%first term of arcsin
diff=s*(n1-n2);
%second term of arcsin
prod=lambda*m;
%argument of arcsin
arg=(diff-prod)/d;
%corresponding angle in radians
ang=asin(arg);
%and in degrees
ang_g=ang*180/pi
%vertical positions of the fringes
y=L*tan(ang)
%
%==============================================
%relative intensity due to interference
%==============================================
%
%first term
gamma1=diff;
%second term
gamma2=d*sin(ang);
%gamma
gamma=k*(gamma1-gamma2);
Ir1=(cos(gamma/2)).*(cos(gamma/2));
%
%==============================================
%relative intensity due to diffraction
%==============================================
%
%alfa
alfa=(h*pi/lambda)*sin(ang);
num=sin(alfa).^2;
den=alfa.^2;
Ir2=num./den;
%
%==============================================
%Effective relative intensity
%==============================================
%
Ir=Ir1.*Ir2
plot(m,Ir,'ro-'),grid on,title('Relative intensity varying m')
axis([-9 24 0 1])
figure
plot(ang_g,Ir,'bd-'),grid on
axis([-8 9 0 1])
title('Relative intensity varying ang-g')
%==============================================
%
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