Stability of vortex solitons in thermal nonlinear media with cylindrical symmetry

TL;DR

This paper investigates the stability of vortex-ring solitons in thermal nonlinear media with cylindrical symmetry, revealing a maximum topological charge for stability regardless of sample size.

Contribution

It demonstrates that only vortex solitons with topological charge m≤2 are stable in such media, a finding independent of the sample radius.

Findings

Vortex solitons with m>2 are unstable.

Maximum stable topological charge is m=2.

Stability limit is independent of sample size.

Abstract

We analyze the salient features of vortex-ring solitons supported by cylindrically symmetric media with nonlocal thermal nonlinearity. We discover the existence of a maximum allowed topological charge for such vortex solitons to be stable on propagation: Only vortex-ring solitons with topological charge m<=2 are found to be stable. This remarkable result holds independently of the radius of the sample.