Hexagonal patterns in multistep optical parametric processes

Authors
Citation
S. Longhi, Hexagonal patterns in multistep optical parametric processes, OPTICS LETT, 26(10), 2001, pp. 713-715
Citations number
16
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
OPTICS LETTERS
ISSN journal
01469592 → ACNP
Volume
26
Issue
10
Year of publication
2001
Pages
713 - 715
Database
ISI
SICI code
0146-9592(20010515)26:10<713:HPIMOP>2.0.ZU;2-9
Abstract
The existence and competition of a novel class of hexagonal patterns in a n onlinear optical system are reported. These states are found in a mean-fiel d model of a doubly resonant frequency divide-by-3 optical parametric oscil lator (3 omega --> 2 omega + omega) in which the multistep parametric proce ss, 2 omega = omega + omega, is weakly phase matched. A generalized Swift-H ohenberg equation and a set of amplitude equations are derived to describe the coexistence of hexagonal patterns formed by the superposition of either three or six phase-locked tilted waves. (C) 2001 Optical Society of Americ a.