Vortex soliton tori with multiple nested phase singularities in dissipative media

Abstract

We show the existence of stable two- and three-dimensional vortex solitons carrying multiple, spatially separated, single-charge topological dislocations nested around a vortex-ring core. Such new nonlinear states are supported by elliptical gain landscapes in focusing nonlinear media with two-photon absorption. The separation between the phase dislocations is dictated mostly by the geometry of gain landscape and it only slightly changes upon variation of the gain or absorption strength.

17 pages, 5 figures, to appear in Physical Review A

References in corpus (5)

• Spontaneous rotating vortex lattices in a pumped decaying condensate
• The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
• Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
• Dissipative defect modes in periodic structures
• Rotating vortex solitons supported by localized gain

Cited by in corpus (7)

• Crystal Symmetry and Polarization of High-order Harmonics in ZnO
• Solitary vortices supported by localized parametric gain
• Pattern formation by kicked solitons in the two-dimensionnal Ginzburg-Landau medium with a transverse grating
• Azimuthons and pattern formation in annularly confined exciton-polariton Bose-Einstein condensates
• Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain
• Building patterns by traveling vortices and dipoles in periodic dissipative media
• Existence and Stability of Dissipative Solitons in a Dual-Waveguide Lattice with Linear Gain and Nonlinear Losses