Pattern formation by kicked solitons in the two-dimensionnal Ginzburg-Landau medium with a transverse grating

Abstract

We consider the kick-induced mobility of two-dimensional (2D) fundamental dissipative solitons in models of lasing media based on the 2D complex Ginzburg-Landau (CGL) equation including a spatially periodic potential (transverse grating). The depinning threshold is identified by means of systematic simulations, and described by means of an analytical approximation, depending on the orientation of the kick. Various pattern-formation scenarios are found above the threshold. Most typically, the soliton, hopping between potential cells, leaves arrayed patterns of different sizes in its wake. In the laser cavity, this effect may be used as a mechanism for selective pattern formation controlled by the tilt of the seed beam. Freely moving solitons feature two distinct values of the established velocity. Elastic and inelastic collisions between free solitons and pinned arrayed patterns are studied too.

arXiv comment15 pages, 20 figures (with 41 sub-figures)

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Cited by in corpus (5)

• Multidimensional dissipative solitons and solitary vortices
• Newton's cradles in optics: From to N-soliton fission to soliton chains
• Multisoliton Newton's cradles and supersolitons in regular and PT-symmetric nonlinear couplers
• Building patterns by traveling vortices and dipoles in periodic dissipative media
• Symmetric and antisymmetric nonlinear modes supported by dual local gain in lossy lattices