Konotop, V. V.2; Cunha, M. D.2; Christiansen, Peter Leth3; Clausen, Carl A. Balslev1
1 Department of Informatics and Mathematical Modeling, Technical University of Denmark2 University of Madeira3 Department of Applied Mathematics and Computer Science, Technical University of Denmark
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].
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 1999, Vol 60, Issue 5, p. 6104-6110