Title

Nonlinear three-wave interaction in photonic crystals

Authors

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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