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

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available