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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 20 — Oct. 15, 2006
  • pp: 3013–3015

Finite-dimensional model for defect-trapped light in planar periodic nonlinear structures

Alejandro B. Aceves and Tomáš Dohnal  »View Author Affiliations


Optics Letters, Vol. 31, Issue 20, pp. 3013-3015 (2006)
http://dx.doi.org/10.1364/OL.31.003013


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Abstract

We study the dynamics of 2D gap solitons (GSs) in Bragg resonant nonlinear (photonic) gratings in the presence of localized defects. Previous work [ Stud. Appl. Math. 115, 209 (2005) ] explains the mechanism of trapping the GS-carried energy at a defect via a resonant energy transfer from the GS into defect modes. We derive a finite-dimensional model that describes the evolution of the defect-trapped state as an interaction of linear defect modes and show that this model approximates the full dynamics very well in the regime when moderate amounts of GS energy are trapped.

© 2006 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.4320) Optical devices : Nonlinear optical devices
(230.7390) Optical devices : Waveguides, planar

ToC Category:
Nonlinear Optics

History
Original Manuscript: April 26, 2006
Revised Manuscript: July 3, 2006
Manuscript Accepted: July 9, 2006
Published: September 25, 2006

Citation
Alejandro B. Aceves and Tomáš Dohnal, "Finite-dimensional model for defect-trapped light in planar periodic nonlinear structures," Opt. Lett. 31, 3013-3015 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-20-3013


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References

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