Nonlinear Guided Waves and Spatial Solitons in a Periodic Layered Medium

Date

2002

Authors

Sukhorukov, Andrey
Kivshar, Yuri

Journal Title

Journal ISSN

Volume Title

Publisher

Optical Society of America

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.

Description

Keywords

Keywords: Approximation theory; Electromagnetic wave transmission; Optical waveguides; Permittivity; Periodic layered medium; Guided electromagnetic wave propagation

Citation

Source

Journal of the Optical Society of America B

Type

Journal article

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DOI

Restricted until

2037-12-31