Nonlinear wave interaction in photonic band gap materials

    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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