Title
Spectral renormalization method for computing self-localized solutions to nonlinear systems
Abbreviated Journal Title
Opt. Lett.
Keywords
SPATIAL SOLITONS; PHOTONIC LATTICES; SOLITARY WAVES; LIGHT; Optics
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 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.
Journal Title
Optics Letters
Volume
30
Issue/Number
16
Publication Date
1-1-2005
Document Type
Article
Language
English
First Page
2140
Last Page
2142
WOS Identifier
ISSN
0146-9592
Recommended Citation
"Spectral renormalization method for computing self-localized solutions to nonlinear systems" (2005). Faculty Bibliography 2000s. 4937.
https://stars.library.ucf.edu/facultybib2000/4937
Comments
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