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Generating wavepackets in MATLAB

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Hi, I am trying to generate wavepackets for a complex function using MATLAB, however, I am not sure on the approach. Does MATLAB Forum have a suggestion?
Thanks!

Accepted Answer

Youssef  Khmou
Youssef Khmou on 26 Jan 2018
Among the methods for generating wavepackets is linear superposition, considering the spatial dimension x, an elementary complex wavepacket can be generated as follows:
x=-20:0.005:20;
w=20;
dw=0.1;
y=exp(j*w*x)+exp(j*(w-dw)*x)+exp(j*(w+dw)*x);
plot(x,real(y));
the parameter dw is the frequency difference between the components, and has an impact on coherence length.
  5 Comments
Sergio Manzetti
Sergio Manzetti on 31 Jan 2018
Thanks for this Youssef, this was indeed clear. I will try it out!

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