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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry Van Driel
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2323–2330

Bistable Helmholtz bright solitons in saturable materials

J. M. Christian, G. S. McDonald, and P. Chamorro-Posada  »View Author Affiliations


JOSA B, Vol. 26, Issue 12, pp. 2323-2330 (2009)
http://dx.doi.org/10.1364/JOSAB.26.002323


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Abstract

We present, to the best of our knowledge, the first exact analytical solitons of a nonlinear Helmholtz equation with a saturable refractive-index model. These new two-dimensional spatial solitons have a bistable characteristic in some parameter regimes, and they capture oblique (arbitrary-angle) beam propagation in both the forward and backward directions. New conservation laws are reported, and the classic paraxial solution is recovered in an appropriate multiple limit. Analysis and simulations examine the stability of both solution branches, and stationary Helmholtz solitons are found to emerge from a range of perturbed input beams.

© 2009 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5940) Nonlinear optics : Self-action effects
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: September 17, 2009
Manuscript Accepted: October 12, 2009
Published: November 16, 2009

Citation
J. M. Christian, G. S. McDonald, and P. Chamorro-Posada, "Bistable Helmholtz bright solitons in saturable materials," J. Opt. Soc. Am. B 26, 2323-2330 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-12-2323

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