Three-wave interaction in two-component quadratic nonlinear lattices.
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.
Konotop
V V
VV
Department of Physics and Center of Mathematical Sciences, University of Madeira, 9000 Funchal, Portugal.
Cunha
M D
MD
Christiansen
P L
PL
Clausen
C B
CB