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

OPTICS COMMUNICATIONS

卷:332

Article

Besse, V.¹  Leblond, H.¹  Mihalache, D.^1,2,3  Malomed, B. A.⁴ 

[1] Univ Angers, LUNAM Univ, Lab Photon Angers, EA 4464, F-49000 Angers, France

[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Magurele 077125, Romania

[3] Acad Romanian Scientists, Bucharest 050094, Romania

[4] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

关键词: Pattern formation;    Dissipative soliton;    Spatial soliton;    Vortex;    Complex Ginzburg-Landau equation;    Nonlinear dynamics;   

DOI  :  10.1016/j.optcom.2014.07.029

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free