Building patterns by traveling vortices and dipoles in periodic dissipative media
arXiv:1307.4333 · doi:10.1016/j.optcom.2014.07.029
Abstract
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 are used to stabilize 2D patterns. The pattern-building process is initiated by kicking a localized 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, with the pinned multi-soliton chain playing the role of the Newton's cradle (NC).
References in corpus (8)
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Plasmon-Soliton
- The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
- Stable topological modes in two-dimensional Ginzburg-Landau models with trapping potentials
- Pattern formation by kicked solitons in the two-dimensionnal Ginzburg-Landau medium with a transverse grating
- Vortex soliton tori with multiple nested phase singularities in dissipative media
- Vortex solitons of the discrete Ginzburg-Landau Equation
- Universality in modelling non-equilibrium pattern formation in polariton condensates