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syms m h epsilon1; pi=3.1415926535897932 np=1.75; deg1=42.6075; deg2=25.1675; deg3=16.3712; phi1=60-deg1; phi2=60-deg2; phi3=60-deg3; alpha1=phi1*pi/180; alpha2=phi2*pi/180; alpha3=phi3*pi/180; theta1=pi/3.0-asin(sin(alpha1)/np); theta2=pi/3.0-asin(sin(alpha2/np)); theta3=pi/3.0-asin(sin(alpha3)/np); N1=np*sin(theta1); N2=np*sin(theta2); N3=np*sin(theta3); lambda=0.650; epsilon2=-12; epsilon3=1; eq='2*Pi/lambda*sqrt(epsilon1-N^2)*h=m*Pi+arctan((epsilon1*sqrt(N^2-epsilon2))/(epsilon2*sqrt(epsilon[1]-N^2)))+arctan(epsilon1*sqrt(N^2-epsilon3)/(epsilon3*sqrt(epsilon1-N^2)))'; eq1='2*pi*h*sqrt(epsilon1-N1^2)/lambda=(m-1)*pi+atan((epsilon1*sqrt(N1^2-epsilon2))/(epsilon2*sqrt(epsilon1-N1^2)))+atan((epsilon1*sqrt(N1^2-epsilon3))/(epsilon3*sqrt(epsilon1-N1^2)))'; eq2='2*pi*h*sqrt(epsilon1-N2^2)/lambda=m*pi+atan((epsilon1*sqrt(N2^2-epsilon2))/(epsilon2*sqrt(epsilon1-N2^2)))+atan((epsilon1*sqrt(N2^2-epsilon3))/(epsilon3*sqrt(epsilon1-N2^2)))'; eq3='2*pi*h*sqrt(epsilon1-N3^2)/lambda=(m+1)*pi+atan((epsilon1*sqrt(N3^2-epsilon2))/(epsilon2*sqrt(epsilon1-N3^2)))+atan((epsilon1*sqrt(N3^2-epsilon3))/(epsilon3*sqrt(epsilon1-N3^2)))'; [m,h,epsilon1]=solve(eq1,eq2,eq3); |
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