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Date 06/09/2010
Script S3_2_4.m
Download Script S3_2_4.m
%=============================================
%Retarders
%=============================================
%
%P1 and P2 have their transmission axes
%parallel to the y axis
%
%Natural light enters the first polarizer P1
%
%Optic axes of quarter and half-wave retarders
%subtend an angle of 45° with x axis
%
%ATTENTION!
%The four following cases must be runned
%one at time as independent scripts
%
%..............................................
%a. In series are P1, an half-wave retarder, P2
%..............................................
%
%beam emerging from P1
v1=[0;1]
%half-wave matrix
mh=[0 1;1 0]
vr=mh*v1
vrt=vr'
%intensity of the beam emerging from half-wave
I1=vrt*vr
%P2 matrix
m2=[0 0;0 1]
%beam emerging from P2
vr2=m2*vr
vr2t=vr2';
%final intensity
I2=vr2t*vr2
%
%.................................................................
%b. In series are P1, an half-wave retarder, an half-wave retarder
%.................................................................
%
%beam emerging from P1
v1=[0;1]
%half-wave matrix
mh=[0 1;1 0]
vr=mh*v1
vrt=vr'
%intensity of the beam emerging from half-wave
I1=vrt*vr
%half-wave matrix
mh2=[0 1;1 0]
%beam emerging from second half-wave
vr2=mh2*vr
vr2t=vr2';
%final intensity
I2=vr2t*vr2
%
%.................................................
%c. In series are P1, a quarter-wave retarder, P2
%.................................................
%
%beam emerging from P1
v1=[0;1]
%quarter-wave matrix
m1=(1/sqrt(2))*[1 i;i 1]
vr=m1*v1
vrt=vr'
%intensity of the beam emerging from quarter-wave
I1=vrt*vr
%P2 matrix
m2=[0 0;0 1]
%beam emerging from P2
vr2=m2*vr
vr2t=vr2';
%final intensity
I2=vr2t*vr2
%
%...................................................................
%d. In series are P1, a quarter-wave retarder, an half-wave retarder
%...................................................................
%
%beam emerging from P1
v1=[0;1]
%quarter-wave matrix
m1=(1/sqrt(2))*[1 i;i 1]
vr=m1*v1
vrt=vr'
%intensity of the beam emerging from quarter-wave
I1=vrt*vr
%half-wave matrix
mh2=[0 1;1 0]
%beam emerging from half-wave
vr2=mh2*vr
vr2t=vr2';
%final intensity
I2=vr2t*vr2
%=============================================
%

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