Stable spatial and spatiotemporal optical soliton in the core of an optical vortex

TL;DR

This paper demonstrates the existence of stable, mobile 2D and 3D optical solitons within the core of an optical vortex using cubic Kerr nonlinearities, with potential for collision and formation in vortical beams.

Contribution

It introduces a novel stable soliton configuration in vortex cores, expanding understanding of nonlinear optical phenomena in Kerr media.

Findings

3D soliton propagates without deformation at constant velocity

Stable solitons can undergo quasi-elastic collisions

Solitons can form in the core of vortical beams

Abstract

We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic (Kerr) type. The 3D soliton can propagate with a constant velocity along the vortex core without any deformation. Stability of the soliton under a small perturbation is established numerically. Two such solitons moving along the vortex core can undergo a quasi-elastic collision at medium velocities. Possibilities of forming such a 2D spatial soliton in the core of a vortical beam are discussed.