Solitary vortices supported by localized parametric gain

TL;DR

This paper demonstrates the existence and stability of bright vortex solitons supported by localized ring-shaped parametric gain in lossy optical media, revealing different stability behaviors for focusing and defocusing Kerr nonlinearities.

Contribution

It introduces a novel mechanism for stabilizing vortex solitons using localized parametric gain in optical media with Kerr nonlinearity.

Findings

Vortices are stable at all detuning values with defocusing nonlinearity.

Stability of vortices with focusing nonlinearity is limited to positive detuning values.

Unstable focusing vortices evolve into stable rotating azimuthons.

Abstract

We demonstrate the existence and stability of bright vortex solitons sustained by a ring-shaped parametric gain, for both focusing and defocusing Kerr nonlinearities in lossy optical media. With the defocusing nonlinearity, the vortices are stable at all values of the detuning parameter, while under the focusing nonlinearity their stability region is limited to some positive values of the detuning. Unstable vortices in the focusing medium transform into stable rotating azimuthons.