V. V. Konotop, V. V.Cunha, M. D.Christiansen, P. L.Clausen, C. Balslev2022-11-182022-11-181999Konotop, V. V., Cunha, M. D., Christiansen, P. L., & Clausen, C. B. (1999). Three-wave interaction in two-component quadratic nonlinear lattices. Physical Review E, 60(5), 6104.http://hdl.handle.net/10400.13/4788We 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.engTwo-component latticeQuadratic nonlinearity.Faculdade de Ciências Exatas e da Engenhariajournal article