Title

Spectral Renormalization Method For Computing Self-Localized Solutions To Nonlinear Systems

Abstract

A new numerical scheme for computing self-localized states - or solitons - of nonlinear waveguides is proposed. The idea behind the method is to transform the underlying equation governing the soliton, such as a nonlinear Schrödinger-type equation, into Fourier space and determine a nonlinear nonlocal integral equation coupled to an algebraic equation. The coupling prevents the numerical scheme from diverging. The non-linear guided mode is then determined from a convergent fixed point iteration scheme. This spectral renormalization method can find wide applications in nonlinear optics and related fields such as Bose-Einstein condensation and fluid mechanics. © 2005 Optical Society of America.

Publication Date

8-15-2005

Publication Title

Optics Letters

Volume

30

Issue

16

Number of Pages

2140-2142

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/OL.30.002140

Socpus ID

24344438633 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/24344438633

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