Three-wave interaction in two-component quadratic nonlinear lattices

V. V. Konotop, V.  V.; Cunha, M. D.; Christiansen, P.  L.; Clausen, C. Balslev

http://hdl.handle.net/10400.13/4788

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Abstract(s)

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.

Keywords

Two-component lattice Quadratic nonlinearity . Faculdade de Ciências Exatas e da Engenharia

URI

http://hdl.handle.net/10400.13/4788

Citation

Konotop, 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.