HEXAGONS AND SQUARES IN A PASSIVE NONLINEAR-OPTICAL SYSTEM

Citation
Jb. Geddes et al., HEXAGONS AND SQUARES IN A PASSIVE NONLINEAR-OPTICAL SYSTEM, Physical review. A, 50(4), 1994, pp. 3471-3485
Citations number
41
Categorie Soggetti
Physics
Journal title
ISSN journal
10502947
Volume
50
Issue
4
Year of publication
1994
Pages
3471 - 3485
Database
ISI
SICI code
1050-2947(1994)50:4<3471:HASIAP>2.0.ZU;2-F
Abstract
Pattern formation is analyzed and simulated in a nonlinear optical sys tem involving all three space dimensions as well as time in an essenti al way. This system, counterpropagation in a Kerr medium, is shown to lose stability, for sufficient pump intensity, to a nonuniform spatial pattern. We observe hexagonal patterns in a self-focusing medium, and squares in a self-defocusing one, in good agreement with analysis bas ed on symmetry and asymptotic expansions.