Title

Nonlinear Three-Wave Interaction In Photonic Crystals

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. © Springer-Verlag 2005.

Publication Date

7-1-2005

Publication Title

Applied Physics B: Lasers and Optics

Volume

81

Issue

2-3

Number of Pages

225-229

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00340-005-1815-4

Socpus ID

23744508522 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/23744508522

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