Nonlinear three-wave interaction in photonic crystals

    Authors

    L. Tkeshelashvili;K. Busch

    Comments

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    Abbreviated Journal Title

    Appl. Phys. B-Lasers Opt.

    Keywords

    BAND-GAP; SPONTANEOUS EMISSION; SOLITARY WAVES; DEFECT; LASER; Optics; Physics, Applied

    Abstract

    We present a multi-scale analysis of nonlinear three-wave-interaction processes in photonic crystals. Based on photonic Bloch functions as carrier waves, we derive the effective nonlinear coupled wave equations that govern pulse propagation in these systems and obtain the corresponding effective photonic crystal parameters directly from photonic band-structure computations. As an illustration, we show how hitherto inaccessible radiation-conversion processes such as wave-front reversal of optical pulses can be realized. Furthermore, we describe a novel regime of nonlinear three-wave interaction in photonic crystals associated with the nearly degenerate case and show how these results may be utilized to study experimentally certain problems from plasma physics and hydrodynamics in the context of nonlinear photonic crystals.

    Journal Title

    Applied Physics B-Lasers and Optics

    Volume

    81

    Issue/Number

    2-3

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    225

    Last Page

    229

    WOS Identifier

    WOS:000230624000015

    ISSN

    0946-2171

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