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Split-step Fourier Method
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More options Sep 15 2003, 11:36 am
Newsgroups: sci.math.num-analysis
From: d...@ee.iitkgp.ernet.in (Dyan Ali)
Date: 15 Sep 2003 08:36:08 -0700
Local: Mon, Sep 15 2003 11:36 am
Subject: Split-step Fourier Method
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)-
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

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More options Dec 13 2004, 11:19 am
Newsgroups: sci.math.num-analysis
From: rgagl...@ittc.ku.edu (Roque)
Date: Mon, 13 Dec 2004 16:19:32 +0000 (UTC)
Local: Mon, Dec 13 2004 11:19 am
Subject: Re: Split-step Fourier Method
Hi!

Did you got any answer for this problem? I am working in the same
issue...

Roque

On 15 Sep 2003 08:36:08 -0700, Dyan Ali wrote: