Generation of stable multi-vortex clusters in a dissipative medium with anti-cubic nonlinearity

TL;DR

This paper explores the creation of stable multi-vortex clusters in a dissipative optical medium with anti-cubic nonlinearity, combining analytical and numerical methods to identify conditions for stable vortex solitons.

Contribution

It introduces a model with anti-cubic nonlinearity into the cubic-quintic Ginzburg-Landau framework and demonstrates the formation of stable vortex clusters with specific vorticity.

Findings

Analytical asymptotic form of solitons at r --> 0 derived.

Parameter domains for stable vortex clusters identified.

Number of vortices matches initial vorticity in input.

Abstract

We demonstrate the generation of vortex solitons in a model of dissipative optical media with the singular anti-cubic (AC) nonlinearity, by launching a vorticity-carrying Gaussian input into the medium modeled by the cubic-quintic complex Ginzburg-Landau equation with the additional AC term. The effect of the latter term on the beam propagation is investigated in detail. An analytical result is produced for the asymptotic form of fundamental and vortical solitons at r --> 0, which is determined by the AC term. Numerical simulations identify parameter domains which maintain stable dissipative solitons in the form of vortex clusters. The number of vortices in the clusters is equal to the vorticity embedded in the Gaussian input.