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Spectral renormalization method for computing self-localized solutions to nonlinear systems

delete2005-08-15
delete187
PRE
AI
M
Mark J. Ablowitz
Z
Ziad H. Musslimani
DOI：10.1364/OL.30.002140delete
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Abstract

Abstract

En 中文
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 Schrodinger-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 nonlinear 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. (c) 2005 Optical Society of America.
Keywords:
SPATIAL SOLITONS
PHOTONIC LATTICES
SOLITARY WAVES
LIGHT

Journal

Optics Letters cover
Optics Letters
IF:
3.3
Papers:
4.0W
Citations:
7.6W

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No organization information available