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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: A69–A76

Spatial and spatiotemporal solitary waves and their stabilization in nonlinear negative index materials

Partha P. Banerjee and G. Nehmetallah  »View Author Affiliations


JOSA B, Vol. 24, Issue 10, pp. A69-A76 (2007)
http://dx.doi.org/10.1364/JOSAB.24.000A69


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Abstract

Starting from a simple dispersion relation for negative index materials and a heuristic nonlinear Klein–Gordon-type extension, we derive the evolution equations for the envelopes of beams and spatiotemporal pulses in nonlinear dispersive negative index media. Using existing numerical methods, based on fast Fourier–Bessel transforms, we study the stability of the solitary wave solutions. Nonlinearity and dispersion management are then incorporated to find stable solutions of the underlying partial differential equations.

© 2007 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(160.4670) Materials : Optical materials
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

History
Original Manuscript: January 19, 2007
Revised Manuscript: May 5, 2007
Manuscript Accepted: May 15, 2007
Published: August 10, 2007

Virtual Issues
Photonic Metamaterials (2007) JOSA A

Citation
Partha P. Banerjee and G. Nehmetallah, "Spatial and spatiotemporal solitary waves and their stabilization in nonlinear negative index materials," J. Opt. Soc. Am. B 24, A69-A76 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-10-A69

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