OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 30, Iss. 16 — Aug. 15, 2005
  • pp: 2140–2142

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

Mark J. Ablowitz and Ziad H. Musslimani  »View Author Affiliations


Optics Letters, Vol. 30, Issue 16, pp. 2140-2142 (2005)
http://dx.doi.org/10.1364/OL.30.002140


View Full Text Article

Acrobat PDF (177 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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 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.

© 2005 Optical Society of America

OCIS Codes
(000.0000) General : General
(000.2690) General : General physics

Citation
Mark J. Ablowitz and Ziad H. Musslimani, "Spectral renormalization method for computing self-localized solutions to nonlinear systems," Opt. Lett. 30, 2140-2142 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-16-2140

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited