Three-wave interaction in two-component quadratic nonlinear lattices

V. V. Konotop; M. D. Cunha; Peter Leth Christiansen; Carl A. Balslev Clausen

doi:10.1103/PhysRevE.60.6104

Three-wave interaction in two-component quadratic nonlinear lattices

V. V. Konotop, M. D. Cunha, Peter Leth Christiansen, Carl A. Balslev Clausen

University of Madeira

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Abstract

We investigate a two-component lattice with a quadratic nonlinearity and find with the multiple scale technique that integrable three-wave interaction takes place between plane wave solutions when these fulfill resonance conditions. We demonstrate that. energy conversion and pulse propagation known from three-wave interaction is reproduced in the lattice and that exact phase matching of parametric processes can be obtained in non-phase-matched lattices by tilting the interacting plane waves with respect to each other. [S1063-651X(99)15110-9].

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	60
Issue number	5
Pages (from-to)	6104-6110
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.60.6104
Publication status	Published - 1999

Bibliographical note

Copyright (1999) by the American Physical Society.

Keywords

SYSTEMS
MEDIA
MODES
SOLITONS

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10.1103/PhysRevE.60.6104

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AU - Konotop, V. V.

AU - Cunha, M. D.

AU - Christiansen, Peter Leth

AU - Clausen, Carl A. Balslev

PY - 1999

Y1 - 1999

N2 - We investigate a two-component lattice with a quadratic nonlinearity and find with the multiple scale technique that integrable three-wave interaction takes place between plane wave solutions when these fulfill resonance conditions. We demonstrate that. energy conversion and pulse propagation known from three-wave interaction is reproduced in the lattice and that exact phase matching of parametric processes can be obtained in non-phase-matched lattices by tilting the interacting plane waves with respect to each other. [S1063-651X(99)15110-9].

AB - We investigate a two-component lattice with a quadratic nonlinearity and find with the multiple scale technique that integrable three-wave interaction takes place between plane wave solutions when these fulfill resonance conditions. We demonstrate that. energy conversion and pulse propagation known from three-wave interaction is reproduced in the lattice and that exact phase matching of parametric processes can be obtained in non-phase-matched lattices by tilting the interacting plane waves with respect to each other. [S1063-651X(99)15110-9].

KW - SYSTEMS

KW - MEDIA

KW - MODES

KW - SOLITONS

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DO - 10.1103/PhysRevE.60.6104

M3 - Journal article

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JO - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

IS - 5

ER -

Three-wave interaction in two-component quadratic nonlinear lattices

Abstract

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Keywords

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