Spatial Optical Solitons in Nonlinear Photonic Crystals
Date
2002
Authors
Sukhorukov, Andrey
Kivshar, Yuri
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract
We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended Bloch-wave modes and also investigate the existence and stability of bright, dark, and "twisted" spatially localized modes in such periodic structures. Additionally, we discuss both similarities and differences of our general results with the simplified models of nonlinear periodic media described by the discrete nonlinear Schrödinger equation, derived in the tight-binding approximation, and the coupled-mode theory, valid for shallow periodic modulations of the optical refractive index.
Description
Keywords
Keywords: Approximation theory; Crystal structure; Nonlinear equations; Photons; Refractive index; Solitons; Band gap; Nonlinear waveguides; Optical waveguide arrays; Photonic crystals; Nonlinear optics
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Source
Physical Review E
Type
Journal article