Title

Nonlinear wave interaction in photonic band gap materials

Authors

Authors

L. Tkeshelashvili; J. Niegemann; S. Pereira;K. Busch

Comments

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Abbreviated Journal Title

Photonics Nanostruct.

Keywords

photonic crystals; gap soliton; nonlinear optics; ENVELOPE-FUNCTION APPROACH; PERIODIC STRUCTURES; SOLITONS; ELECTRODYNAMICS; SUPERLATTICES; PROPAGATION; BISTABILITY; GRATINGS; MEDIA; LIGHT; Nanoscience & Nanotechnology; Materials Science, Multidisciplinary; Optics; Physics, Applied

Abstract

We present detailed analytical and numerical studies of nonlinear wave interaction processes in one-diniensional (1D) photonic band gap (PBG) materials with a Kerr nonlinearity. We demonstrate that some of these processes provide efficient mechanisms for dynamically controlling so-called gap-solitons. We derive analytical expressions that accurately determine the phase shifts experienced by nonlinear waves for a large class of non-resonant interaction processes. We also present comprehensive numerical studies of inelastic interactions, and show that rather distinct regimes of interaction exist. The predicted effects should be experimentally observable, and can be utilized for probing the existence and parameters of gap solitons. Our results are directly applicable to other nonlinear periodic structures such as Bose-Einstein condensates in optical lattices. (c) 2006 Published by Elsevier B.V.

Journal Title

Photonics and Nanostructures-Fundamentals and Applications

Volume

4

Issue/Number

2

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

75

Last Page

88

WOS Identifier

WOS:000237901500003

ISSN

1569-4410

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