Explicit solution of FWM problem under the interaction of co-propagating laser beams in medium with cubic nonlinear response

Vyacheslav A. Trofimov; Igor E. Kuchik; Leonid D. Mikheev; Yakov V. Grudtsyn

doi:10.1117/12.2225176

27 April 2016 Explicit solution of FWM problem under the interaction of co-propagating laser beams in medium with cubic nonlinear response

Vyacheslav A. Trofimov, Igor E. Kuchik, Leonid D. Mikheev, Yakov V. Grudtsyn

Author Affiliations +

Proceedings Volume 9894, Nonlinear Optics and its Applications IV; 989412 (2016) https://doi.org/10.1117/12.2225176
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

Abstract

We developed an explicit analytical solution of FWM under the laser beam propagation in a medium with cubic nonlinear response in the framework of both plane wave approximation and long pulse duration approximation. We used the approach based on the problem invariants and assumption of equal pump-wave amplitudes. It is impossible to get the explicit solution of the problem under consideration without taking into account the problem invariants. The developed analytical solution allows providing a full analysis of FWM modes in the space of interaction parameters. We have shown, in particular, the existence of bistable mode for energy conversion from the pump waves to the signal wave. This mode of energy conversion is very important for FWM experiments explaining.

Citation Download Citation

Vyacheslav A. Trofimov, Igor E. Kuchik, Leonid D. Mikheev, and Yakov V. Grudtsyn "Explicit solution of FWM problem under the interaction of co-propagating laser beams in medium with cubic nonlinear response", Proc. SPIE 9894, Nonlinear Optics and its Applications IV, 989412 (27 April 2016); https://doi.org/10.1117/12.2225176

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