Interaction of periodic and localized structures in two-dimensional passive cavities

Author

Tlidi, M. ; Vladimirov, A.G. ; Mandel, P.

Author_Institution

Opt. Nonlineaire Theorique, Univ. Libre de Bruxelles, Brussels, Belgium

fYear

2003

fDate

22-27 June 2003

Firstpage

133

Abstract

This paper studies analytically and numerically the role of the homogeneous zero mode on the interaction between two subcritical modulation instabilities with the same critical wavelength. For this purpose, this study considers a passive cavity with plane mirrors filled by a resonant two-level medium, and driven by an injected plane wave beam. This work assumes a weak dispersion, where the dynamics is described by the Swift-Hohenberg type of equation. It constitutes a paradigm for the study of both periodic and localized patterns formation.

Keywords

cavity resonators; laser beams; mirrors; pattern formation; periodic structures; Swift-Hohenberg-type equation; homogeneous zero mode; localized structures; modulation instabilities; passive cavities; patterns formation; periodic structures; plane mirrors; plane wave beam; resonant two-level medium; two-dimensional cavities; weak dispersion; Amplitude modulation; Mirrors; Nonlinear equations; Optical modulation; Optical solitons; Pattern formation; Periodic structures; Physics; Resonance; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Quantum Electronics Conference, 2003. EQEC '03. European

Print_ISBN

0-7803-7733-8

Type

conf

DOI

10.1109/EQEC.2003.1313990

Filename

1313990