Multi-modes of four-waves mixing at non-collinear interaction of laser beams in medium with cubic nonlinear response

Vyacheslav A. Trofimov; Igor E. Kuchik; Nikita V. Levitskiy

doi:10.1117/12.2049400

1 May 2014 Multi-modes of four-waves mixing at non-collinear interaction of laser beams in medium with cubic nonlinear response

Vyacheslav A. Trofimov, Igor E. Kuchik, Nikita V. Levitskiy

Author Affiliations +

Proceedings Volume 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III; 913619 (2014) https://doi.org/10.1117/12.2049400
Event: SPIE Photonics Europe, 2014, Brussels, Belgium

Abstract

We develop an explicit solution of problem describing collinear four-waves mixing in medium with cubic nonlinear response. This solution is carried out for set of Schrödinger equations using plane wave approximation for the case of phase matching for interacting waves. This solution allows to do full analysis of four-wave interaction modes in dependence of the problem parameters. We have shown, in particular, an existence of bistable mode for energy conversion from pump waves to signal wave under certain conditions. In general case, there are greater than 10 various modes of four-wave interaction. Knowledge about these modes is very important for spectroscopic experiment results understanding using four-waves mixing because its result depends on them in strong way. Analytical solutions and derived modes can explain complicated regime of four-wave interaction which may be appeared at high intensity of interacting waves.

Citation Download Citation

Vyacheslav A. Trofimov, Igor E. Kuchik, and Nikita V. Levitskiy "Multi-modes of four-waves mixing at non-collinear interaction of laser beams in medium with cubic nonlinear response", Proc. SPIE 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III, 913619 (1 May 2014); https://doi.org/10.1117/12.2049400

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