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Date 06/09/2010
Script S3_2_3.m
Download Script S3_2_3.m
%==============================================
%Half-wave retarder 1
%==============================================
%
%
%==============================================
%electric field, subtending an angle of 60°
%with x axis, when emerges from half-wave retarder
%has a direction of 120° from the x axis
%==============================================
%
%vector of linear polarized light along the x axis
v1=[1;0]
%construction of the matrix of the half-wave
%retarder (see Sec.3.1.5)
teta60=60*pi/180;
c2=cos(2*teta60)
s2=sin(2*teta60)
m1=[c2 s2;s2 -c2]
%the new vector of the linear polarized
%light emerging from the retarder
%with the intensity I
v2=m1*v1
v2t=v2';
I=v2t*v2
%the beam is then incident on a polarizer
%whose trasmission axis is parallel to the x axis
%the matrix of polarizer
p=[1 0;0 0];
%intensity If of the beam emerging from polarizer
v3=p*v2;
v3t=v3';
If=v3t*v3
%
%==============================================
%search of the right thickness t
%of one millimeter for retarder
%and the corresponding value of m
%==============================================
%
%if lambda
lambda=0.589;
%and refractive indices of quartz
ns=1.5534;
no=1.5443;
%are assigned
%the difference between ns and no
diff=ns-no;
%a range of the integers m between 25 and 35
m=25:1:35
%thickness in micron
d=(m*lambda)/(2*diff)
%thickness in mm called t
t=d/1000
%plot of t in mm function of the integer m
plot(m,t,'ro-'),grid on
title('t in mm function of the integer m')
%==============================================
%
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