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Proceedings Paper

Explicit solution of FWM problem under the interaction of co-propagating laser beams in medium with cubic nonlinear response
Author(s): Vyacheslav A. Trofimov; Igor E. Kuchik
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Paper Abstract

We develop an explicit solution of the problem describing collinear four-waves mixing in medium with cubic nonlinear response. This solution is carried out for a set of Schrödinger equations using plane wave approximation under phase matching of interacting waves. This solution allows to provide 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 a strong way. Analytical solution and developed modes can explain complicated regime of four-wave interaction which may appear at high intensity of interacting waves.

Paper Details

Date Published: 18 May 2015
PDF: 23 pages
Proc. SPIE 9503, Nonlinear Optics and Applications IX, 95030Q (18 May 2015); doi: 10.1117/12.2178671
Show Author Affiliations
Vyacheslav A. Trofimov, Lomonosov Moscow State Univ. (Russian Federation)
Igor E. Kuchik, Lomonosov Moscow State Univ. (Russian Federation)

Published in SPIE Proceedings Vol. 9503:
Nonlinear Optics and Applications IX
Mario Bertolotti; Joseph W. Haus; Alexei M. Zheltikov, Editor(s)

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