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

    Authors

    M. J. Ablowitz;Z. H. Musslimani

    Comments

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    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

    WOS:000231072700030

    ISSN

    0146-9592

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