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. 12 — Dec. 1, 2000
  • pp: 2431–2439

Wavelet operators for nonlinear optical pulse propagation

Iestyn Pierce, Paul Rees, and K. Alan Shore  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2431-2439 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002431


View Full Text Article

Enhanced HTML    Acrobat PDF (341 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A method that uses discrete wavelet transforms for the solution of evolution equations that describe optical pulse propagation in nonlinear media is presented. The theory of orthogonal wavelet transforms is outlined and applied to the representation of optical pulses. Wavelet transform representations of propagation operators are presented and applied to the nonlinear Schrödinger equation, yielding results that are indistinguishable from traditional Fourier-based simulations. The compression properties of wavelet representations of optical pulses permit significant improvement in execution speed compared with that of the split-step Fourier method.

© 2000 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.4370) Nonlinear optics : Nonlinear optics, fibers

History
Original Manuscript: March 1, 2000
Revised Manuscript: August 21, 2000
Manuscript Accepted: August 30, 2000
Published: December 1, 2000

Citation
Iestyn Pierce, Paul Rees, and K. Alan Shore, "Wavelet operators for nonlinear optical pulse propagation," J. Opt. Soc. Am. A 17, 2431-2439 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2431

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