Three-wave interaction in two-component quadratic nonlinear lattices | Zendy

V. V. Konotop | Zendy; M D Cunha | Zendy; P. L. Christiansen | Zendy; Carl Balslev Clausen | Zendy

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Three-wave interaction in two-component quadratic nonlinear lattices

Author(s) -

V. V. Konotop,

M D Cunha,

P. L. Christiansen,

Carl Balslev Clausen

Publication year - 1999

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.60.6104

Subject(s) - quadratic equation , physics , integrable system , nonlinear system , plane wave , lattice (music) , parametric statistics , component (thermodynamics) , interaction energy , wave propagation , phase (matter) , energy (signal processing) , quantum mechanics , mathematical physics , mathematics , acoustics , statistics , geometry , molecule

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.

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