Abstract

It is known that in the absence of four-wave mixing, spatial solitons of two frequencies can copropagate stably in a Kerr-law nonlinear medium. We investigate the effect of including four-wave mixing. We show that when phase-matching conditions are satisfied, Stokes and anti-Stokes waves can be generated to produce a new steady-state solution consisting of four copropagating beams. On the other hand, if weak signal beams are injected along with the pump beams, then four-wave mixing can be used to amplify those side beams. When phase-matching conditions are not satisfied, the Stokes and anti-Stokes waves simply propagate as linear modes in the effective waveguides induced by the pump solitons.

© 1996 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Effect of four-wave mixing on spatial soliton collisions

Nadeem A. Ansari, Rowland A. Sammut, and Hai-Tan Tran
J. Opt. Soc. Am. B 14(2) 298-303 (1997)

Four-wave mixing spatial soliton interaction dynamics

Paul B. Lundquist and David R. Andersen
J. Opt. Soc. Am. B 14(11) 3038-3044 (1997)

Exact solution of four-wave mixing of copropagating light beams in a Kerr medium

E. Lichtman, A. A. Friesem, R. G. Waarts, and H. H. Yaffe
J. Opt. Soc. Am. B 4(11) 1801-1805 (1987)

References

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
Login to access OSA Member Subscription

Cited By

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
Login to access OSA Member Subscription

Figures (6)

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
Login to access OSA Member Subscription

Equations (24)

You do not have subscription access to this journal. Equations 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
Login to access OSA Member Subscription

Metrics

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
Login to access OSA Member Subscription