Up- and down-conversion at three-wave interaction in medium with combined nonlinear response

Vyacheslav A. Trofimov; Vladislav V. Trofimov; Nikita V. Levitskiy

doi:10.1117/12.887016

18 May 2011 Up- and down-conversion at three-wave interaction in medium with combined nonlinear response

Vyacheslav A. Trofimov, Vladislav V. Trofimov, Nikita V. Levitskiy

Author Affiliations +

Proceedings Volume 8071, Nonlinear Optics and Applications V; 807106 (2011) https://doi.org/10.1117/12.887016
Event: SPIE Optics + Optoelectronics, 2011, Prague, Czech Republic

Abstract

In this paper we construct the solution of nonlinear Schrödinger equations, describing the three-wave interaction in medium with combined (cubic and quadratic) nonlinear response under the condition of long pulse duration and plane wave approximation. The main feature of applied approach concludes in using of Hamiltonian of the equations set to find the algebraical equation with respect to difference of phases of interacting waves without the solution of the corresponding differential equation. For three-wave interaction we write the integral which depends on mismatching of wave-vectors and on input intensities of interacting waves. The evolution of intensity of each wave is express by the elliptical function.

Citation Download Citation

Vyacheslav A. Trofimov, Vladislav V. Trofimov, and Nikita V. Levitskiy "Up- and down-conversion at three-wave interaction in medium with combined nonlinear response", Proc. SPIE 8071, Nonlinear Optics and Applications V, 807106 (18 May 2011); https://doi.org/10.1117/12.887016

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