Apply Group Velocity Dispersion to a Pulse
12 views (last 30 days)
Show older comments
Hi, I've created a gaussian pulse and want to apply the group velocity dispersion to it. I'm looking for it to be similar to he image attached, where the top is the original pulse, the middle is positive dispersion and the bottom is negative dispersion, as I'm trying to understand how they did this.
So far my pulse code:
if true clear all ; close all ; clc f=374.7e12;%Thz fs=f*10; %sampling frequency T=1/fs; L=1000; sigma=5e-15; t=(0:L-1)*T; %time base x =(exp(-(t-50e-15).^2/(2*sigma)^2)).*exp(1i*2*pi*f*t); x = x.*5e-11 plot(t,real(x),'b'); title(['Gaussian Pulse \sigma=', num2str(sigma),'s']); xlabel('Time(s)'); ylabel('Amplitude'); ylim([-1 1]) xlim([10e-15 90e-15])
end The formula for the group velocity dispersion
$$GVD = \frac{dv_g}{dk} = -\frac{w}{n}\frac{d^2 n}{d\lambda^2}$$
Or the formula for the temporal spreading due to the group velocity dispersion:
$$\Delta\tau = -\frac{L}{c}(\lambda^2\frac{d^2 n}{d\lambda^2})\frac{d\lambda}{lambda}$$
Thanks!
0 Comments
Answers (0)
See Also
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!