Indexing inside double for loops
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Hey everyone,
I'm trying to index a vector inside a double for loop, but can't figure out what's going wrong. As one can see from the code below, I'm using the En function that depends on ft and s to calculate U and a0 which are used to calculate En. At the next step, En is changing so U and a0 will also change, but I can't figure how to index them correcty inside their loops. Can anyone help me sort this out? Thanks in advance.
Kind regards
format long
clc
%% Variables
fs=1/10;
s=0:fs:1;
ft = -2980:fs:2980;
alpha = 0.01;
ai = 0.4;
ai2 = 0.6;
af = 1;
w0 = 0.02;
mi = 6;
mmi=[0 mi;mi 0];
E1 = 0.03;
E2 = 0.01;
psii=[sqrt(ai);sqrt(ai2)];
%% Functions
g = 1./(1+exp(-alpha.*ft));
f = ai*(1-g)+af*g;
%% Electric Field
E0 = alpha.*(af-ai).*exp(alpha.*ft).*sin(w0.*ft)./(mi.*(1+exp(alpha.*ft)).*sqrt((1-ai+(1-af).*exp(alpha.*ft)).*(ai+af.*exp(alpha.*ft))));
%% New Electric Field
for k=1:length(s)
if k == 1
En(k)=E0(k);
end
% Time Operador
H0=[-1i*E1*fs/2 0;0 -1i*E2*fs/2];
H01=expm(H0);
Z=[0 1;1 0];
[V,D]=eig(Z);
for i = 1:length(ft)
H(:,:,i)=1i*mi*En(i)*fs*D;
H1(:,:,i)=expm(H(:,:,i));
Hint(:,:,i)=V*H1(:,:,i)*transpose(V);
U0(:,:,i)=H01*Hint(:,:,i)*H01;
if i==1
U(:,:,i)=U0(:,:,i);
else
U(:,:,i)=U0(:,:,i)*U(:,:,i-1);
end
psi(:,i)=U(:,:,i)*psii;
psi1(i)=psi(1,i);
psi2(i)=psi(2,i);
end
psif=psi(:,59601);
Uf1=U(:,:,59601);
% a0
for j = 1:length(ft)
Ui(:,:,j)=U(:,:,j);
Uf(:,:,j)=Uf1*ctranspose(Ui(:,:,j));
brapsii=ctranspose(psii);
brapsif=ctranspose(psif);
Udaga=ctranspose(Uf1);
a0(j)=-2*imag(brapsii*Udaga*psif*brapsif*Uf(:,:,j)*mmi*Ui(:,:,j)*psii);
end
% New Electric Field
S=1;
a0int=S.*a0.^2;
gamao(k)=trapz(ft,a0int);
fe(k)=En(k)/(600*fs);
gint=S.*a0.*fe;
gaminha(k)=trapz(ft,gint);
En(k+1)=En(k)+(fe(k)-gaminha(k)*a0(k)/gamao(k))*fs;
figure
plot(ft,En)
grid on
end
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