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600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 4th layer as special 4*4 2*2 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 6th layer as special 4*4 2*2 46   )LJXUH)DUDGD\URWDWLRQZKHQ WK OD\HULVFRQVLGHUHGDVVSHFLDOOD\HU   )LJXUH)DUDGD\URWDWLRQZKHQ WK OD\HULVFRQVLGHUHGDVVSHFLDOOD\HU  0.00 0.02 0.04 0.06 0.08 0.10 0.12 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 8th layer as special 4*4 2*2 0.00 0.02 0.04 0.06 0.08 0.10 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 10th layer as special 4*4 2*2 47  )LJXUH)DUDGD\URWDWLRQZKHQ WK OD\HULVFRQVLGHUHGDVVSHFLDOOD\HU   )LJXUH)DUDGD\URWDWLRQZKHQ WK OD\HULVFRQVLGHUHGDVVSHFLDOOD\HU   0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 12th layer as special 4*4 2*2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) Faraday rotation of 16 layer PS/PMMA with 14th layer as special 4*4 2*2 48  )LJXUH)DUDGD\URWDWLRQZKHQ WK OD\HULVFRQVLGHUHGDVVSHFLDOOD\HU  )XUWKHUPRUHZHWULHGWRDSSO\WKH�DQG�WUDQVIHUPDWUL[WHFKQLTXHVLQ QRQV\PPHWULF>LH $% Q @OD\HUOD\HUDQGOD\HU36300$PXOWLOD\HUILOP 7KHUHVXOWVDUHVKRZQLQ)LJXUH)LJXUHDQG)LJXUH%XWWKHURWDWLRQV REWDLQHGIURPWZRGLIIHUHQWDSSURDFKHVGLYHUJHGDQGZHUHQRWFRQVLVWHQWZLWKHDFKRWKHU 7KXVLWFDQEHFRQFOXGHGWKHWZRWHFKQLTXHVIDLOHGWRSURYLGHFRQVLVWHQF\LQFDVHRI )DUDGD\URWDWLRQZKHQWKHSKRWRQLFFU\VWDOVKDYHIHZQXPEHUVRIOD\HUV  0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 400 450 500 550 600 650 700 F a r a da y r o t a tion (arb it ary units) wavelength (nm) 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$33(1',&(6          54 $33(1',;$5($/,=$7,212)�75$16)(50$75,;$3352$&+(6   ,Q&KDSWHUWKH�WUDQVIHUPDWUL[DSSURDFKHVLVGLVFXVVHG7KH0$7/$% SURJUDP ZULWWHQLQ0ILOH XVHGWRUHDOL]HWKLVDSSURDFKLVJLYHQLQWKLVDSSHQGL[7KH SURJUDPUHDOL]HV�WUDQVIHUPDWUL[DSSURDFKHVLQOD\HU 36300$  ILOPWR FDOFXODWHWKHWUDQVPLVVLRQVSHFWUXPDQG9HUGHWZHLJKWLQJRI(QHUJ\7LPHLQWKHOD\HUV 7KLVYHUGHWZHLJKWLQJGDWDLVPXOWLSOLHGZLWKWKHWLPHFDOFXODWHGIURP�DSSURDFK LHIXQFWLRQ'HOD\'DWD 55 WRREWDLQ)DUDGD\URWDWLRQ MATLAB Code: clear; % Clear workspace in the program numberdispersion = 1; ltotal =128; % total layers of PS/PMMA n1 = 1.49; % Refractive index of PMMA n2 = 1.585; % Refractive index of PS nm = 1; ns = 1; nd = 1; d1 = 0.1; d2 = 0.1; dd = 0; abscoeff1 = 0; abscoeff2 = 0; abscoeffd = 0; wlbound1 = 450; wlbound2 = 650; wlinc = 10; sublayers = 10; numberaverages = 1; ///////////////////////////////////////////////////////////////// % Assigining number of points for wavelength wlength(1:((wlbound2-wlbound1)*wlinc)+1, 1) = wlbound1:1/wlinc:wlbound2; % total wavelength points 55 Qjprime = zeros(length(wlength),ltotal*sublayers); Tprime = zeros(length(wlength),1); Etotprime = zeros(length(wlength),1); EtotLprime = zeros(length(wlength),1); EtotHprime = zeros(length(wlength),1); ///////////////////////////////////////////////////////////////// % Define matrix which gives the weighting Verdetmatrix = zeros(length(wlength),ltotal); %Read and input refractive indices from a file 'indices.txt' path(path,'C:\Users\bshakya\Desktop'); FileName2 = 'indices.txt'; Refraction = dlmread(FileName2); Refraction(ltotal+1) = ns; ///////////////////////////////////////////////////////////////// % Tell the program which is first, L or H. % L=Low refractive index, and H=High refractive index % refractive index if Refraction(1) > Refraction(2) H = 1; L = 2; elseif Refraction(2) > Refraction(1) H = 2; L = 1; end Refractionwavelength = zeros(length(wlength), ltotal+1); for wl = 1:length(wlength); for layer = 1:ltotal+1 Refractionwavelength(wl,layer) = Refraction(layer,1); end end vgroup = zeros(length(wlength), 2); for layer = 1:ltotal for wl = 1:length(wlength) if Refractionwavelength(wl,layer) ==1.49; Refractionwavelength(wl,layer) = sqrt(2.185+ 1.268*10^4/wlength(wl,1)^2); vgroup(wl,L) = 1/Refractionwavelength(wl,layer)* (1-1.268*10^4/wlength(wl,1)^2/ (Refractionwavelength(wl,layer))^2); elseif Refractionwavelength(wl,layer) ==1.585; Refractionwavelength(wl,layer) = sqrt(2.440+ 3.121*10^4/wlength(wl,1)^2); vgroup(wl,H) = 1/Refractionwavelength(wl,layer)* (1-3.121*10^4/wlength(wl,1)^2/ 56 (Refractionwavelength(wl,layer))^2); end end end ///////////////////////////////////////////////////////////////// stdev = 0; seed = 65*numberaverages; randn('seed',seed); tvar = stdev*randn([(ltotal+1) 1])+1; % Start of first 'While' loop while numberaverages<=numberdispersion clc; % Read and input thicknesses from a file 'newrandlayer1_6.txt' path(path,'C:\Users\bshakya\Desktop'); FileName = 'newrandlayer1_6.txt'; Thickness = dlmread(FileName)*10^-3; Thickness1 = zeros(ltotal,1); lnumb = 1; % Start of second 'While' loop while lnumb<(ltotal+1) Thickness1(lnumb,1)= Thickness(lnumb,1)* tvar(lnumb,1); lnumb=(lnumb+1); end % End of second 'While' loop ///////////////////////////////////////////////////////////////// Thickness = Thickness1; absco = zeros(ltotal+1,1); for row1 = 1:2:(ltotal-1) absco(row1) = abscoeff1; end for row2 = 2:2:(ltotal) absco(row2) = abscoeff2; end absco(ltotal+1) = 0; % n+ik complexrefraction = zeros(length(wlength), ltotal+1); polarization = zeros(length(wlength), ltotal+1); del = zeros(length(wlength), ltotal+1); for layer = 1:ltotal+1 for wl = 1:length(wlength) 57 complexrefraction(wl,layer) = Refractionwavelength(wl,layer) - i*((wlength(wl)*(10^-7)*absco(layer))/(4*pi)); polarization(wl,layer)= complexrefraction(wl,layer); del(wl,layer) = (2*pi*complexrefraction(wl,layer))/ (wlength(wl)*(10^(-3))); end end del1 = zeros(length(wlength), ltotal); for layer = 1:ltotal for wl = 1:length(wlength) del1(wl,layer) = del(wl,layer)*Thickness(layer); end end ///////////////////////////////////////////////////////////////// % Define rjk &tjk Fresnel complex reflection & transmission coefficients rjk = zeros(length(wlength), ltotal); tjk = zeros(length(wlength), ltotal); for j = 1:ltotal for wl = 1:length(wlength) rjk(wl,j)=(complexrefraction(wl,j)- complexrefraction(wl,j+1))/ (complexrefraction(wl,j)+complexrefraction(wl,j+1)); tjk(wl,j)=(2*complexrefraction(wl,j))/ (complexrefraction(wl,j)+complexrefraction(wl,j+1)); end end rmedk = zeros(length(wlength), 1); tmedk = zeros(length(wlength), 1); for wl = 1:length(wlength) rmedk(wl) = (nm-complexrefraction(wl,1))/ (nm+complexrefraction(wl,1)); tmedk(wl) = (2*nm)/(nm+complexrefraction(wl,1)); end ///////////////////////////////////////////////////////////////// % Defining Interfjk and Lpropj as propagation matrices Interfjk = cell(length(wlength),ltotal); Lpropj = cell(length(wlength),ltotal); for layer = 1:ltotal for wl = 1:length(wlength) Interfjk(wl,layer)={[1/tjk(wl,layer) rjk(wl,layer)/tjk(wl,layer); rjk(wl,layer)/tjk(wl,layer) 1/tjk(wl,layer) ]}; 58 Lpropj(wl,layer)={[exp(-i*del1(wl,layer)) 0; 0 exp(i*del1(wl,layer)) ]}; end end Imed = cell(length(wlength), 1); for wl = 1:length(wlength) Imed(wl) = {[1/tmedk(wl) rmedk(wl)/tmedk(wl); rmedk(wl)/tmedk(wl) 1/tmedk(wl) ]}; end Matr = cell(length(wlength),ltotal); M2 = cell(length(wlength),1); Mstart = cell(length(wlength),1); for wl = 1:length(wlength) for layer = 2:ltotal Matr{wl,layer}=(Interfjk{wl,layer}*Lpropj{wl,layer}); end Matr{wl,1} = Imed{wl}*Lpropj{wl,1}; Mstart{wl,1} = Interfjk{wl,ltotal}; for layer = ltotal:-1:1 M2{wl,1} = (Matr{wl,layer}*Mstart{wl,1}); Mstart{wl,1} = M2{wl,1}; end end PbM2 = cell(length(wlength),ltotal); PfM2 = cell(length(wlength),ltotal-1); Sji1 = cell(length(wlength),ltotal); Sji2 = cell(length(wlength),ltotal); for wl = 1:length(wlength) for leftlayer = ltotal:-1:2 Mstart{wl,1} = Interfjk{wl,leftlayer-1}; for layer = leftlayer-1:-1:1 PbM2{wl,leftlayer} = Matr{wl,layer}*Mstart{wl,1}; Mstart{wl,1} = PbM2{wl,leftlayer}; end Sji1{wl,leftlayer} = PbM2{wl,leftlayer}; end Sji1{wl,1} = Imed{wl}; for rightlayer = 1:ltotal-1 Mstart{wl,1} = Interfjk{wl,ltotal}; for layer = ltotal:-1:rightlayer+1 PfM2{wl,rightlayer} = Matr{wl,layer}*Mstart{wl,1}; 59 Mstart{wl,1} = PfM2{wl,rightlayer}; end Sji2{wl,rightlayer} = PfM2{wl,rightlayer}; end Sji2{wl,ltotal} = Interfjk{wl,ltotal}; end for wl = 1:length(wlength) M2{wl,1} = Sji1{wl,1}*Lpropj{wl,1}*Sji2{wl,1}; End ///////////////////////////////////////////////////////////////// % Divide each layer into sublayers Enum = zeros(length(wlength),sublayers*ltotal); Edenom = zeros(length(wlength),sublayers*ltotal); E = zeros(length(wlength),sublayers*(ltotal-1)+1); Q = zeros(length(wlength),sublayers*(ltotal-1)+1); for wl = 1:length(wlength) for j = 1:ltotal % Add one more for incr = 1:sublayers Enum(wl,sublayers*(j-1)+incr)=Sji2{wl,j}(1)* exp(-i*del(wl,j)*(Thickness(j)* (1-incr/sublayers)))+Sji2{wl,j}(2)* exp(i*del(wl,j)*(Thickness(j)* (1-incr/sublayers))); Edenom(wl,sublayers*(j-1)+incr) = Sji1{wl,j}(1)*Sji2{wl,j}(1)* exp(-i*del(wl,j)*(Thickness(j)))+ Sji1{wl,j}(3)*Sji2{wl,j}(2)* exp(i*del(wl,j)*(Thickness(j))); E(wl,sublayers*(j-1)+incr) = Enum(wl,sublayers*(j-1)+incr)./ Edenom(wl,sublayers*(j-1)+incr); Q(wl,sublayers*(j-1)+incr) = (Refractionwavelength(wl,j)^2).* (E(wl,sublayers*(j-1)+incr).* conj(E(wl,sublayers*(j-1)+incr)))* Thickness(j); end end end ///////////////////////////////////////////////////////////////// % For partial view of layers startlayer = 1; endlayer = ltotal; 60 Qj = zeros(length(wlength), (endlayer- startlayer+1)*sublayers); for z7 = (startlayer-1)*sublayers+1:endlayer*sublayers for wl = 1:length(wlength) Qj(wl,z7-((startlayer-1)*sublayers)) = Q(wl,z7); end end Etot = zeros(1,length(wlength)); EtotL = zeros(1,length(wlength)); EtotH = zeros(1,length(wlength)); ///////////////////////////////////////////////////////////////// for wl = 1:length(wlength) %start Etot(1,wl) = sum(Qj(wl,1:endlayer*sublayers)); numberHlayers = 1; if H3 for jj=ii+1:length(wlength) PhaseD(jj)=PhaseD(jj)-2*pi; end end end % end of unwinding the phase ///////////////////////////////////////////////////////////////// T = zeros(length(wlength),1); for wl = 1:length(wlength) T(wl,1) = (ns/(nm))*((abs(transmission(wl,1)))^2)*100; end ///////////////////////////////////////////////////////////////// for wl = 1:length(wlength) % start Etotprime(wl,1) = Etotprime(wl,1) + Etot(1,wl); EtotLprime(wl,1) = EtotLprime(wl,1) + EtotL(1,wl); EtotHprime(wl,1) = EtotHprime(wl,1) + EtotH(1,wl); Tprime(wl,1) = Tprime(wl,1) + T(wl); for layers = 1:ltotal*sublayers Qjprime(wl,layers) = Qjprime(wl,layers) + Qj(wl,layers); end end % end ///////////////////////////////////////////////////////////////// numberaverages = numberaverages + 1; end % End of first 'While' loop ///////////////////////////////////////////////////////////////// % Define matrix that calculates the total energy EtotMike = zeros(length(wlength),1); 62 % Start of 'for' loop for splayer for splayer=1:4 clc; % Start of for loop for length(wlength) i.e total wavelength for wl = 1:length(wlength) clc; Tprime(wl,1) = Tprime(wl,1)/numberdispersion; Etotprime(wl,1) = (EtotLprime(wl,1) + EtotHprime(wl,1))/numberdispersion; % Start of 'for' loop for ltotal i.e total layers for layer=1:ltotal clc; % Start of second 'if' loop if mod(layer,2)==1 % odd splayer Verdetmatrix(wl,ltotal)= 2.27*10^6/(wlength(wl,1)^2)+ 2.21*10^11/(wlength(wl,1)^4); if layer==splayer Verdetmatrix(wl,ltotal)= 50*(2.27*10^6/(wlength(wl,1)^2)+ 2.21*10^11/(wlength(wl,1)^4)); end EtotLprime(wl,1)=(Verdetmatrix(wl,ltotal)*vgroup(wl,L) * EtotLprime(wl,1))/numberdispersion; elseif mod(layer,2)==0 % even splayer Verdetmatrix(wl,ltotal)=7.397*10^5/(wlength(wl,1} ^2)+ 1.1*10^11/(wlength(wl,1)^4); if layer==splayer Verdetmatrix(wl,ltotal)=50*(7.397*10^5/(wlength(wl,1) ^2)+ 1.1*10^11/(wlength(wl,1)^4)); end EtotHprime(wl,1) = (Verdetmatrix(wl,H)*vgroup(wl,H)* EtotHprime(wl,1))/numberdispersion; end % End of second 'if' loop EtotMike(wl,1) = (EtotLprime(wl,1)+EtotHprime(wl,1))/ (Etotprime(wl,1)); end % End of 'for' loop for ltotal i.e total layers 63 for layers = 1:ltotal*sublayers % start Qjprime(wl,layers) = Qjprime(wl,layers)/numberdispersion; end % end end % End of 'for' loop for length(wlength) i.e total wavelength ///////////////////////////////////////////////////////////////// % Transmission Plot figure('Name','Transmittance', 'Numbertitle', 'off') hold on; plot(wlength(1:length(T)), T(:), 'r'), xlabel('Wavelength (nm)'), ylabel('Wavelength (nm)'),title('Transmission'); grid on saveas(gcf,'Transmission_with_MCC_Layers_HL_128_with_dispersion.j pg','jpg') % Weighted Total Energy (Crescimanno) vs Wavelength Plot figure('Name','Total Energy vs.Wavelength','Numbertitle','off'); plot(wlbound1:1/wlinc:wlbound2,(EtotMike(:))), xlabel('Wavelength (nm)'), ylabel(splayer); title('Photon Localization Weighted by Local Verdets') grid on saveas(gcf,'Energy_of_L_and_H_layers_HLLH_32_32_funct_lambda_Verd ets_weighted_n^2_cresc.jpg', 'jpg') % Data is as follows: % column 1, wavelength: % column 2, Transmission: % column 3, unweighted energy: % column 4, weighted energy in layers (by Verdet) impdata = zeros(length(wlength),5); for k = 1:length(wlength) impdata(k,1) = wlength(k,1); impdata(k,2) = Tprime(k,1); impdata(k,3) = (Etotprime(k,1))/(ltotal*sublayers); impdata(k,4) = (EtotLprime(k,1) + EtotHprime(k,1))/(ltotal*sublayers); impdata(k,5) = EtotMike(k,1); end dlmwrite('LH_128_Rand_1_6.txt', impdata, '\t') end % End of 'for' loop for splayer 64 $33(1',;%5($/,=$7,212)�75$16)(50$75,;$3352$&+(6   ,Q&KDSWHUWKH�WUDQVIHUPDWUL[DSSURDFKHVLVGLVFXVVHG7KH0$7/$% SURJUDP ZULWWHQLQ0ILOH XVHGWRUHDOL]HWKLVDSSURDFKLVJLYHQLQWKLVDSSHQGL[7KH SURJUDPUHDOL]HVWKH�WUDQVIHUPDWUL[DSSURDFKHVLQOD\HU 36300$  ILOPWR FDOFXODWH WKH WUDQVPLVVLRQ DQG )DUDGD\ URWDWLRQ 7KH SURJUDP SHUIRUPV PDWUL[ PXOWLSOLFDWLRQXVLQJORRSFRPPDQGVOLNHIRUZKLOHLIHOVHDQGLIHOVH MATLAB Code: clear; % Clear workspace in the program nLayer=128; %layer number of sample % Assigning layer thickness of A (PMMA only) dA=10^-6* [4.35E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02 ;8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 8.7E-02; 2.175E-02; 2.175E-02;]; ///////////////////////////////////////////////////////////////// % start of seed for-loop for seed =5:5 % seed variable assigned stdev = 0; randn('seed',seed); 65 tvar = stdev*randn([(nLayer+1) 1])+1; dA1 = zeros(nLayer,1); lnumb = 1; while lnumb<(nLayer+1) dA1(lnumb,1)= dA(lnumb,1)* tvar(lnumb,1); lnumb=(lnumb+1); end dA = dA1; dB=dA; % layer thickness of B (PS only) ///////////////////////////////////////////////////////////////// StartLamda=400*10^-9; % start wavelength EndLamda=500*10^-9; % end wavelength WavelengthStep=0.025*10^-9; % calculation resolution % starting overwrite NA and NB (using PS and PMMA) % index of A: PMMA % NA=1.49; % index of B: PS % NB=1.58; N0B=2.440; C1B=3.121*10^-14; N0A=2.185; C1A=1.268*10^-14; ALayerA=7.397*10^5; ALayerB=1.1*10^11; BLayerA=2.27*10^6; BLayerB=2.21*10^11; % off-diagonal dielectric constant of A at 525nm e2A0=1; % off-diagonal dielectric constant of B at 525nm e2B0=1; % ending overwrite NA and NB ///////////////////////////////////////////////////////////////// TransferN=zeros(4,4); % record the transfer matrix % number of wavelength points WaveRes=int16((EndLamda-StartLamda)/WavelengthStep); LamdaRecord=zeros(1,WaveRes); %record all wavelength TransData=zeros(1,WaveRes); % tranission data array RotationData=zeros(1,WaveRes); % rotation data array 66 VerdetData=zeros(1,WaveRes); % verdet constant data array PhaseData=zeros(1,WaveRes); % Phase EllipData=zeros(1,WaveRes); % Ellipticity DelayData=zeros(1,WaveRes); RotationByDelay=zeros(1,WaveRes); ///////////////////////////////////////////////////////////////// Lamda=StartLamda; % temporarory lamda(for calcuation use) counter=1 % calcuation incresement index, for wavelength while Lamda-EndLamda<0 % overwrite here NA=sqrt(N0A+C1A/(Lamda^2)); NB=sqrt(N0B+C1B/(Lamda^2)); e2A=e2A0*Lamda*(ALayerA/(Lamda*10^9)^2 +ALayerB/(Lamda*10^9)^4)/2; e2B=e2B0*Lamda*(BLayerA/(Lamda*10^9)^2 +BLayerB/(Lamda*10^9)^4)/2; % end of overwrite TransferN=eye(4,4); TransferN1=zeros(4,4); //////////////////////////////////////////////////////////////// for Layer=1:nLayer if mod(Layer,2)==1 % odd layer e1=NA*NA;e2=e2A;ep=e1+e2;en=e1-e2; dn=2.0*pi*dA(Layer)*sqrt(en)/Lamda; dp=2.0*pi*dA(Layer)*sqrt(ep)/Lamda; M=[0.5*(cos(dn)+cos(dp)), -0.5*i*(cos(dn)-cos(dp)), 0.5*(1*sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)), 0.5*i*(sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)); 0.5*i*(cos(dn)cos(dp)),0.5*(cos(dn)+cos(dp), -0.5*i*(sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)), 0.5*(-1*sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)); 0.5*(sin(dn)*sqrt(en)-sin(dp)*sqrt(ep)), -0.5*i*(sin(dn)*sqrt(en)+sin(dp)*sqrt(ep)), 0.5*(cos(dn)+cos(dp)), -0.5*i*(cos(dn)-cos(dp)); 0.5*i*(sin(dn)*sqrt(en)+sin(dp)*sqrt(ep)), 0.5*(sin(dn)*sqrt(en)-sin(dp)*sqrt(ep)), 0.5*i*(cos(dn)-cos(dp)), 0.5*(cos(dn)+cos(dp))]; 67 elseif mod(Layer,2)==0 % even layer e1=NB*NB;e2=e2B; ep=e1+e2;en=e1-e2; dn=2.0*pi*dB(Layer)*sqrt(en)/Lamda; dp=2.0*pi*dB(Layer)*sqrt(ep)/Lamda; M=[0.5*(cos(dn)+cos(dp)), -0.5*i*(cos(dn)-cos(dp)), 0.5*( - 1*sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)), 0.5*i*(sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)); 0.5*i*(cos(dn)-cos(dp)), 0.5*(cos(dn)+cos(dp)), -0.5*i* (sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)), 0.5*(-1*sin(dn)/sqrt(en)+sin(dp)/sqrt(ep)); 0.5*(sin(dn)*sqrt(en)-sin(dp)*sqrt(ep)), -0.5*i*(sin(dn)*sqrt(en)+sin(dp)*sqrt(ep)), 0.5*(cos(dn)+cos(dp)), -0.5*i*(cos(dn)-cos(dp)); 0.5*i*(sin(dn)*sqrt(en)+sin(dp)*sqrt(ep)), 0.5*(sin(dn)*sqrt(en)-sin(dp)*sqrt(ep)), 0.5*i*(cos(dn)-cos(dp)), 0.5*(cos(dn)+cos(dp))]; end; TransferN=M*TransferN; end % end of for loop (Layer=1:nLayer) ///////////////////////////////////////////////////////////////// % coupling eqns experessed in terms of transfer matrix elements F1=TransferN(1,1)+TransferN(1,4); F7=TransferN(2,1)+TransferN(2,4); F10=TransferN(3,1)+TransferN(3,4); F4=TransferN(4,1)+TransferN(4,4); F2=TransferN(1,1)-TransferN(1,4); F8=TransferN(2,1)-TransferN(2,4); F11=TransferN(3,1)-TransferN(3,4); F5=TransferN(4,1)-TransferN(4,4); F3=TransferN(1,2)+TransferN(1,3); F9=TransferN(2,2)+TransferN(2,3); F12=TransferN(3,2)+TransferN(3,3); F6=TransferN(4,2)+TransferN(4,3); G1=F2-F5; G2=F3-F6; G3=F4-F1; G4=F8+F11; G5=F9+F12; G6=-1*(F7+F10); del=G1*G5-G2*G4; 68 % back refection X and Y, i.e. C1, C2, C1=(G3*G5-G2*G6)/del; C2=(G1*G6-G3*G4)/del; % transmission X and Y, i.e. C3, and C4 C3=(F2*C1+F3*C2)+F1; C4=(F8*C1+F9*C2)+F7; LamdaRecord(1,counter)=Lamda*(10^9); TransData(counter)=(abs(C3))^2+(abs(C4))^2; ki=C4/C3; VerdetData(1,counter)=1/2*atan(2*real(ki)/(1- abs(ki)^2))*1000; PhaseData(1,counter)=angle(C3); EllipData(1,counter)=imag(C4/C3)/(1+abs(ki)^2); e2AData(counter)=e2A; e2BData(counter)=e2B; counter=counter+1; Lamda=Lamda+WavelengthStep; end % end of while loop ///////////////////////////////////////////////////////////////// % unwinding the phase for ii=1:length(LamdaRecord)-1 if (PhaseData(ii+1)-PhaseData(ii))>3 for jj=ii+1:length(LamdaRecord) PhaseData(jj)=PhaseData(jj)-2*pi; end end end % end of unwinding the phase ///////////////////////////////////////////////////////////////// DelayData=diff(PhaseData)./diff(LamdaRecord); DelayData(length(DelayData)+1)=DelayData(length(DelayD ata)); for kk=1:length(LamdaRecord) DelayData(kk)=abs(DelayData(kk)*LamdaRecord(kk)*LamdaR ecord(kk)*10^-9/(2*pi)); RotationByDelay(kk)=RotationData(kk)/DelayData(kk); end ///////////////////////////////////////////////////////////////// 69 AllData=zeros(length(LamdaRecord),5); for RR=1:length(LamdaRecord) AllData(RR,1)=LamdaRecord(RR); AllData(RR,2)=TransData(RR); AllData(RR,3)=VerdetData(RR); AllData(RR,4)=DelayData(RR); AllData(RR,5)=EllipData(RR); end ///////////////////////////////////////////////////////////////// save('C:\Users\bshakya\Desktop\filename.txt','AllData','-ASCII'); WaveRes; length(LamdaRecord); AvgData=zeros(length(LamdaRecord)); FWHM = 4.5; Delta = FWHM / 2.3548; WavelengthStep = 0.1; nopoints=WaveRes-30; ///////////////////////////////////////////////////////////////// figure('Name','AvgVerdet VS. wavelength', 'Numbertitle', 'off'); plot(LamdaRecord(30:nopoints), VerdetData(30:nopoints)), xlabel('Wavelength (nm)'), ylabel('splayer'); grid on figure('Name','AvgTrans VS. wavelength', 'Numbertitle', 'off'); plot(LamdaRecord(30:nopoints), TransData(30:nopoints)), xlabel('Wavelength (nm)'), ylabel('splayer'); grid on end; % end of seed for-loop  70 5()(5(1&(6  >@ $& (GULQJWRQ$08UEDV3'H5HJH&;&KHQ706ZDJHU1 +DGMLFKULVWLGLV0;HQLGRX/-)HWWHUV-'-RDQQRSRXORV<)LQDQG(/ 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