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Proceedings Paper

Up- and down-conversion at three-wave interaction in medium with combined nonlinear response
Author(s): Vyacheslav A. Trofimov; Vladislav V. Trofimov; Nikita V. Levitskiy
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Paper 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.

Paper Details

Date Published: 18 May 2011
PDF: 12 pages
Proc. SPIE 8071, Nonlinear Optics and Applications V, 807106 (18 May 2011); doi: 10.1117/12.887016
Show Author Affiliations
Vyacheslav A. Trofimov, Lomonosov Moscow State Univ. (Russian Federation)
Vladislav V. Trofimov, Lomonosov Moscow State Univ. (Russian Federation)
Nikita V. Levitskiy, Lomonosov Moscow State Univ. (Russian Federation)


Published in SPIE Proceedings Vol. 8071:
Nonlinear Optics and Applications V
Mario Bertolotti, Editor(s)

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