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Generating wavepackets in MATLAB

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Sergio Manzetti
Sergio Manzetti am 25 Jan. 2018
Bearbeitet: Sergio Manzetti am 31 Jan. 2018
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!

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Youssef  Khmou
Youssef Khmou am 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.
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Youssef  Khmou
Youssef Khmou am 31 Jan. 2018
Bearbeitet: Youssef Khmou am 31 Jan. 2018
As an illustrative example, consider the 1D wavefunction of particle localized at x0=5 at t=0 with variables w and k:
x=0:0.01:10;
x0=5;
w=2;
k=2;
t=0;
the waveform can be generated by:
f=cos(k*(x-5)-w*t).*exp(-(k*(x-5)-w*t).^2);
for different values of t=1,2,..., you can compute the corresponding wavefunction.
Sergio Manzetti
Sergio Manzetti am 31 Jan. 2018
Bearbeitet: Sergio Manzetti am 31 Jan. 2018
Thanks for this Youssef, this was indeed clear. I will try it out!

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