OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1870–1879

Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method

Guy Moebs and Roger Temam  »View Author Affiliations


JOSA A, Vol. 17, Issue 10, pp. 1870-1879 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001870


View Full Text Article

Enhanced HTML    Acrobat PDF (231 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We consider a stochastic nonlinear Schrödinger equation related to signal propagation in waveguides and optical fibers. We first describe the modeling of the problem and the desired objectives concerning the transmission. We then present a new multilevel numerical method for its solution, which is based on a separation between low and high frequencies. We show that this method gives results of the same quality with significantly shorter CPU time compared with those of the other numerical methods commonly presented in the literature.

© 2000 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(000.4430) General : Numerical approximation and analysis
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4370) Nonlinear optics : Nonlinear optics, fibers

History
Original Manuscript: July 7, 1999
Revised Manuscript: May 15, 2000
Manuscript Accepted: May 15, 2000
Published: October 1, 2000

Citation
Guy Moebs and Roger Temam, "Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method," J. Opt. Soc. Am. A 17, 1870-1879 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-10-1870

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. Figure files 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