Rotating vortex solitons supported by localized gain

TL;DR

This paper demonstrates that localized gain landscapes in nonlinear media can support stable, rotating higher-order vortex solitons with multiple phase singularities, whose rotation dynamics depend on gain and absorption levels.

Contribution

It introduces a new class of stable, rotating vortex solitons supported by localized gain in Kerr media with two-photon absorption, revealing their phase singularity structure and dynamics.

Findings

Stable higher-order vortex solitons with multiple phase singularities are supported.

Phase singularities rotate around the gain landscape center.

Rotation period depends on gain strength and nonlinear absorption.

Abstract

We show that ring-like localized gain landscapes imprinted in focusing cubic (Kerr) nonlinear media with strong two-photon absorption support new types of stable higher-order vortex solitons containing multiple phase singularities nested inside a single core. The phase singularities are found to rotate around the center of the gain landscape, with the rotation period being determined by the strength of the gain and the nonlinear absorption.