Three-wave interaction in two-component quadratic nonlinear lattices

V. V. Konotop, M. D. Cunha, P. L. Christiansen, and C. Balslev Clausen
Phys. Rev. E 60, 6104 – Published 1 November 1999
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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.

  • Received 9 February 1999

DOI:https://doi.org/10.1103/PhysRevE.60.6104

©1999 American Physical Society

Authors & Affiliations

V. V. Konotop and M. D. Cunha

  • Department of Physics and Center of Mathematical Sciences, University of Madeira, 9000 Funchal, Portugal

P. L. Christiansen and C. Balslev Clausen

  • Department of Mathematical Modelling, Technical University of Denmark, DK-2800 Lyngby, Denmark

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Vol. 60, Iss. 5 — November 1999

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