📄 fig4_4.m
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T = 200; % time window (period)
nt = 2^14; % number of points
dt = T/nt; % timestep (dt)
t = ((1:nt)'-(nt+1)/2)*dt; % time vector
w = wspace(T,nt); % angular frequency vector
vs = fftshift(w/(2*pi)); % shifted for plotting
z = 4.5*pi; % distance
subplot(121);
u0 = gaussian(t,0,2*sqrt(log(2)));
% Note: only one step (nz=1) is required:
u = sspropc(u0,dt,z,1,0,0,1);
U = fftshift(abs(dt*fft(u)/sqrt(2*pi)).^2);
plot (vs,U);
xlim([-5 5]);
xlabel ('(\nu-\nu_0) T_0');
ylabel ('|U(z,\nu)|^2/P_0');
title ('SPM Pulse Spectrum, Gaussian Pulse (m=1,C=0,\phi = 4.5\pi)');
subplot(122);
u0 = gaussian(t,0,2*sqrt(log(2)),1,3);
u = sspropc(u0,dt,z,1,0,0,1);
U = fftshift(abs(dt*fft(u)/sqrt(2*pi)).^2);
plot (vs,U);
xlim([-6 6]);
xlabel ('(\nu-\nu_0) T_0');
ylabel ('|U(z,\nu)|^2/P_0');
title ('SPM Pulse Spectrum, Gaussian Pulse (m=3,C=0,\phi = 4.5\pi)');
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