Three-wave interaction in two-component quadratic nonlinear lattices

• Main Author: V. V. Konotop, V. V.
• Publication Date: 1999
• Other Authors: Cunha, M. D., Christiansen, P. L., Clausen, C. Balslev
• Format: Article
• Language: eng
• Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Download full: http://hdl.handle.net/10400.13/4788
• topic: Two-component lattice; Quadratic nonlinearity; .; Faculdade de Ciências Exatas e da Engenharia

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.