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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 19 — Sep. 15, 2008
  • pp: 14882–14893

Instabilities and solitons in systems with spatiotemporal dispersion

Fabio Biancalana and Celestino Creatore  »View Author Affiliations


Optics Express, Vol. 16, Issue 19, pp. 14882-14893 (2008)
http://dx.doi.org/10.1364/OE.16.014882


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Abstract

A simple model based on the 1D nonlinear Schrödinger equation is studied, which contains both spatially and temporally dispersive terms. Parametric instabilities for plane waves are analyzed in detail, and solitary waves (both bright and dark) are found. The model presented here is able to describe the non-trivial unstable dynamics of intense, nonlinear light propagation near a material resonance in presence of negative spatial dispersion. We provide as a practical example the light propagation near the tail of an exciton-polariton resonance in a specially designed semiconductor superlattice.

© 2008 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5970) Nonlinear optics : Semiconductor nonlinear optics including MQW
(190.4223) Nonlinear optics : Nonlinear wave mixing
(190.4975) Nonlinear optics : Parametric processes

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 26, 2008
Revised Manuscript: July 30, 2008
Manuscript Accepted: July 30, 2008
Published: September 5, 2008

Citation
Fabio Biancalana and Celestino Creatore, "Instabilities and solitons in systems with spatiotemporal dispersion," Opt. Express 16, 14882-14893 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-19-14882


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