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Split-step Fourier Method
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Dyan Ali
Sep 15, 2003, 11:36:08 AM9/15/03
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Hi!
I'm trying to solve the beam propagation equation in a nonlinear
dispersive media without using the slowly varying approximation. For
this, i'm using the method illustraded by Dr. G.P.Agarwal in his book
"Non-linear Fiber Optics", Chap 2, Eqn 2.4.8 with my nonlinear
operator given as per eqn 2.4.3 i.e.
N= i*(nonlinearity coefft)*[ |A|^2*A +2i/w0 d/dt(|A|^2*A)-
TrAd/dT(|A|^2)]
If i neglect the last 2 terms, i get the standard NL Schrodinger
Equation for which i have written the Matlab code. How do i
incorporate the next two terms and more specifically, how do i
evaluate exp(h*N(z)) with step size h? Do i take the operator to
Fourier space, as Dr. Agarwal has done for the Dispersive operator?
Any references would also be very helpful
Thanks!
Dyan
I'm trying to solve the beam propagation equation in a nonlinear
dispersive media without using the slowly varying approximation. For
this, i'm using the method illustraded by Dr. G.P.Agarwal in his book
"Non-linear Fiber Optics", Chap 2, Eqn 2.4.8 with my nonlinear
operator given as per eqn 2.4.3 i.e.
N= i*(nonlinearity coefft)*[ |A|^2*A +2i/w0 d/dt(|A|^2*A)-
TrAd/dT(|A|^2)]
If i neglect the last 2 terms, i get the standard NL Schrodinger
Equation for which i have written the Matlab code. How do i
incorporate the next two terms and more specifically, how do i
evaluate exp(h*N(z)) with step size h? Do i take the operator to
Fourier space, as Dr. Agarwal has done for the Dispersive operator?
Any references would also be very helpful
Thanks!
Dyan
Roque
Dec 13, 2004, 11:19:32 AM12/13/04
to
Hi!
Did you got any answer for this problem? I am working in the same
issue...
Roque
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