Analytical solutions for three and four diffraction orders interaction in Kerr media

Authors
Korneev, N
Citation
N. Korneev, Analytical solutions for three and four diffraction orders interaction in Kerr media, OPT EXPRESS, 7(9), 2000, pp. 299-304
Citations number
9
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
OPTICS EXPRESS
ISSN journal
10944087 → ACNP
Volume
7
Issue
9
Year of publication
2000
Pages
299 - 304
Database
ISI
SICI code
1094-4087(20001023)7:9<299:ASFTAF>2.0.ZU;2-A
Abstract
The analytical solution for the interaction of three diffraction orders in the Kerr medium is obtained by reducing the problem to the completely integ rable Hamiltonian task. Intensities of all waves are periodic with propagat ion length and linearly related, the amplitudes are quasi-periodic and expr essed in elliptic functions. Symmetrical four-order interaction also admits an analytical solution. (C) 2000 Optical Society of America.