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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 4 — Apr. 1, 2002
  • pp: 772–781

Nonlinear guided waves and spatial solitons in a periodic layered medium

Andrey A. Sukhorukov and Yuri S. Kivshar  »View Author Affiliations


JOSA B, Vol. 19, Issue 4, pp. 772-781 (2002)
http://dx.doi.org/10.1364/JOSAB.19.000772


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Abstract

We present an overview of the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by linear and nonlinear waveguides. First we consider a single layer with a cubic nonlinear response (a nonlinear slab waveguide) embedded in a periodic layered linear medium and describe nonlinear localized modes (guided waves and Bragg-like localized gap modes) and their stability. Then we study modulational instability as well as the existence and stability of discrete spatial solitons in a periodic array of identical nonlinear layers, a one-dimensional model of nonlinear photonic crystals. We emphasize both similarities to and differences from the models described by the discrete nonlinear Schrödinger equation, which is derived in the tight-binding approximation, and the coupled-mode theory, which is valid for shallow periodic modulations.

© 2002 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.5940) Nonlinear optics : Self-action effects

Citation
Andrey A. Sukhorukov and Yuri S. Kivshar, "Nonlinear guided waves and spatial solitons in a periodic layered medium," J. Opt. Soc. Am. B 19, 772-781 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-4-772

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