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help me to coding JSA and JSI and deltat

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asma
asma 2024-5-1
i write this code and i have some problems to about ploting joint spectral amplitude (i dont write plot functions). my alphaa value being 0 and i dont know whats the problem that i comes 0! i attached my figure that i must obtain. thanks for your helps.
clc;
clear;
close all;
%...................parameters...............
lambdaP = 1.55e-6; % pump wavelength
nelithiumP = 2.142; % refractive index lithium niobate for pump lambda
lambdaS = 0.775e-6 ; % signal wavelength
nelithiumS = 2.186; % refractive index lithium niobate for signal lambda
lambdaI = 0.775e-6 ; % idler wavelength
nelithiumI = 2.186; % refractive index lithium niobate for idler lambda
kP = 2*pi*(nelithiumP/lambdaP);
kS = 2*pi*(nelithiumS/lambdaS);
kI = 2*pi*(nelithiumI/lambdaI);
capital_lambda = 17.6e-6;
DeltaK = (kP-kS-kI-(2*pi/capital_lambda)) % phase matching condition
L = 2e-2;
%sigmaP=250e9;
deltat=50e-12;
sigmaP = deltat/(2*sqrt(log(2))); % pulse width
c = 3e8; % speed of light in vacuum
fS = c/lambdaS; fP = c/lambdaP; fI = c/lambdaI;
wS = 2*pi*fS; wP = 2*pi*fP; wI = 2*pi*fI; % angel frequncy
%alpha=exp(-(2*(pi^2)*(sigmaP^2))*((wP-(wS+wI))^2));
%b=wS+wI-wP
alphaa = exp(-((wS+wI-wP)/sigmaP)); % pump envelope function
phi = (sinc(Deltak.*L./2)).*exp(1i.*Deltak.*L./2); % phase matching function
f = alphaa*phi; % joint spectral amplitude
joint_spectral_intensity = abs((f).^2); % joint spectral intensity

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