Three-wave interaction in two-component quadratic nonlinear lattices

Details Three-wave interaction in two-component quadratic nonlinear lattices Three-wave interaction in two-component quadratic nonlinear lattices

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrve..60.6104k&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 60, Issue 5, November 199

Mathematics

Dynamical Systems

General Linear Dynamical Systems, Frequency Conversion, Harmonic Generation, Including Higher-Order Harmonic Generation, Waveguides, Couplers, And Arrays, Wave Propagation And Interactions

Scientific paper

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.

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