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352&(66,1* 7(&+12/2*,(6 )25 /21 - DiVA-Portal

Date post: 05-May-2023
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T_per=T_per*T_interface(ni,nt)*T_layer(nt,grade_step,lambda ); ni = nt; end T_per = T_per * T_interface( ni,N(2) ); T =T12*T_per^periods; % reflectance R = T(2,1) / T(1,1) ; % Reflectivity for the wavelength lambda i = (lambda-xmin+delta)/delta ; Refl(i,1) = lambda ; Refl(i,2) = 100*abs((R)^2); Phas(i,1) = lambda ; Phas(i,2) = angle(R);end % end wavelength loop% Plot the resulthold off; plot(Refl(:,1),Refl(:,2),’b-’)xlabel(’wavelength [nm]’) ylabel(’reflectivity [%]’)axis([xmin-5 xmax+5 0 105])title(’calculated reflectivity with graded interfaces’)

-----------------subroutines----------------------

-------------------n_alggas-----------------------function y = n_algaas(lambda,x)%Refractive index of Ga(1-x)Al(x)As% according to Martin A. Afromowitz,Solid State Comm. 15, 59 (1974)%Syntax: n_algaas(lambda(nm),x); x=0 --> GaAs, x=1 --> AlAs%Convert wavelength in nm to energy in eVh=6.62618e-34;c=2.997925e8; E=h*c/(lambda*1e-9*1.60219e-19);%ConstantsEo=3.65+0.871*x+0.179*x^2;Ed=36.1-2.45*x;Eg=1.424+1.266*x+0.26*x^2;%Eqs. 10 and 11Ef=sqrt(2*Eo^2-Eg^2); eta=pi*Ed/(2*Eo^3*(Eo^2-Eg^2));%Eqs. 7 and 8M1=eta*(Ef^4-Eg^4)/(2*pi); M3=eta*(Ef^2-Eg^2)/pi;%Eq. 12ksi=M1+M3*E^2+eta*E^4*log((Ef^2-E^2)/(Eg^2-E^2))/pi;%Index of refractionn=sqrt(ksi+1);y=n;

-------------------T_layer-----------------------function y=T_layer(N,d,lambda)% calculates the (2x2)layer matrix% input parameters: N complex refr. index, d layer thickness% normal incidence, lambda wavelength [nm]a=(2*pi*d*N/lambda);y = [exp(i*a) 0 ; 0 exp(-i*a)];

-------------------T_iinterface-----------------------function y=T_interface(N0,N1)% calculates the (2x2) interface matrix for an interface% between medium 0 (incidence) and medium 1, normal incidence% input parameters: N0, N1 refr. index medium 0, 1% fresnell coefficients according Hechtr =( N0-N1 ) / ( N0 + N1 );t = 2*N0 / (N0 + N1);% interface matrixy = 1/ts*[ 1 rs; rs 1 ];

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