Building patterns by traveling dipoles and vortices in two-dimensional periodic dissipative media

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TitreBuilding patterns by traveling dipoles and vortices in two-dimensional periodic dissipative media
Type de publicationArticle de revue
AuteurBesse, Valentin , Leblond, Hervé , Mihalache, Dumitru , Malomed, Boris A
EditeurElsevier
TypeArticle scientifique dans une revue à comité de lecture
Année2014
DateJan-12-2014
Pagination279-291
Volume332
Titre de la revueOptics Communications
ISSN0030-4018
Résumé en anglais

We analyze pattern-formation scenarios in the two-dimensional (2D) complex Ginzburg–Landau (CGL) equation with the cubic–quintic (CQ) nonlinearity and a cellular potential. The equation models laser cavities with built-in gratings, which stabilize 2D patterns. The pattern-building process is initiated by kicking a compound mode, in the form of a dipole, quadrupole, or vortex which is composed of four local peaks. The hopping motion of the kicked mode through the cellular structure leads to the generation of various extended patterns pinned by the structure. In the ring-shaped system, the persisting freely moving dipole hits the stationary pattern from the opposite side, giving rise to several dynamical
regimes, including periodic elastic collisions, i.e., persistent cycles of elastic collisions between the moving and quiescent dissipative solitons, and transient regimes featuring several collisions which end up by absorption of one soliton by the other. Still another noteworthy result is the transformation of a strongly kicked unstable vortex into a stably moving four-peaked cluster.

URL de la noticehttp://okina.univ-angers.fr/publications/ua5731
DOI10.1016/j.optcom.2014.07.029
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http://www.sciencedirect.com/science/article/pii/S0030401814006476

Titre abrégéOptics Communications