A method to compute statistics of large, noise-induced perturbations of nonlinear schrödinger solitons

Document Type

Article

Publication Date

10-26-2007

Abstract

We demonstrate in detail the application of importance sampling to the numerical simulation of large noise-induced perturbations in soliton-based optical transmission systems governed by the nonlinear Schrödinger equation. The method allows one to concentrate numerical Monte Carlo simulations around the noise realizations that are most likely to produce the large pulse deformations connected with errors, and yields computational speedups of several orders of magnitude over standard Monte Carlo simulations. We demonstrate the method by using it to calculate the probability density functions associated with pulse amplitude, frequency, and timing fluctuations in a prototypical soliton-based communication system. © 2007 Society for Industrial and Applied Mathematics.

Identifier

35349024252 (Scopus)

Publication Title

SIAM Journal on Applied Mathematics

External Full Text Location

https://doi.org/10.1137/060650775

ISSN

00361399

First Page

1418

Last Page

1439

Issue

5

Volume

67

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