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  • Vol. 36, Iss. 16 — Aug. 15, 2011
  • pp: 3088–3090

Algebraic bright and vortex solitons in defocusing media

Olga V. Borovkova, Yaroslav V. Kartashov, Boris A. Malomed, and Lluis Torner  »View Author Affiliations


Optics Letters, Vol. 36, Issue 16, pp. 3088-3090 (2011)
http://dx.doi.org/10.1364/OL.36.003088


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Abstract

We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as ( 1 + | r | α ) support one- and two-dimensional fundamental and higher-order bright solitons, as well as vortex solitons, with algebraically decaying tails. The energy flow of the solitons converges as long as nonlinearity growth rate exceeds the dimensionality, i.e., α > D . Fundamental solitons are always stable, while multipoles and vortices are stable if the nonlinearity growth rate is large enough.

© 2011 Optical Society of America

OCIS Codes
(190.5940) Nonlinear optics : Self-action effects
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 13, 2011
Manuscript Accepted: July 1, 2011
Published: August 8, 2011

Citation
Olga V. Borovkova, Yaroslav V. Kartashov, Boris A. Malomed, and Lluis Torner, "Algebraic bright and vortex solitons in defocusing media," Opt. Lett. 36, 3088-3090 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-16-3088


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