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Date 06/09/2010
Script S4_2_4.m
Download Script S4_2_4.m
%==============================================
%The Newton's rings 2
%==============================================
%
%lambda in mm
lambda=0.643e-03;
%
%values of R1 and R2 (in mm)
R1=1555;
R2=6221;
%preliminary calculi
Rper=R1*R2;
Rplus=R1+R2;
Rmeno=R2-R1;
%
%condition for the first ten dark fringes
m=1:10
t=(m*lambda/2)*1000
%
%------------------------------------------
%a plano-convex lens over plano-convex lens
%------------------------------------------
%
%preliminary calculi
Acost1=sqrt(m);
Acost2=sqrt(lambda);
ARR=Rper/Rplus;
Acost3=sqrt(ARR);
%radii of the Newton's rings
Ar=Acost1*Acost2*Acost3
%corresponding thickness At in micron between the two lenses
Ass=Rplus/Rper;
At=(0.5*(Ar.^2)*Ass)*1000
%---------------------------------------------
%a plano-convex lens over a concave-plane lens
%---------------------------------------------
%preliminary calculi
Bcost1=sqrt(m);
Bcost2=sqrt(lambda);
BRR=Rper/Rmeno;
Bcost3=sqrt(BRR);
%radii of the Newton's rings
Br=Bcost1*Bcost2*Bcost3
%corresponding thickness Bt in micron between the two lenses
Bss=Rmeno/Rper;
Bt=(0.5*(Br.^2)*Bss)*1000
plot(m,Ar,'ro-',m,Br,'bd-'),grid on
title('Radii Ar (red) and Br (blue) in mm')
figure
plot(m,At,'ro-',m,Bt,'bd-'),grid on
title('Thicknesses At (red) and Bt (blue) in micron')
%==============================================
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