Vortex soliton tori with multiple nested phase singularities in dissipative media

TL;DR

This paper demonstrates the existence of stable multi-dimensional vortex solitons with nested phase singularities in dissipative media, supported by elliptical gain landscapes and focusing nonlinearities with two-photon absorption.

Contribution

It introduces a new class of stable vortex solitons with multiple nested phase singularities supported by specific gain landscapes in dissipative nonlinear media.

Findings

Stable two- and three-dimensional vortex solitons with multiple phase singularities.

Separation of phase dislocations is mainly determined by gain landscape geometry.

Nested vortex structures are supported in focusing media with two-photon absorption.

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.