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].
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 1999|
Bibliographical noteCopyright (1999) by the American Physical Society.