Multi-ring necklace vortex solitons in Kerr nonlinear media with azimuthally modulated Bessel potentials

TL;DR

This paper investigates the existence, stability, and dynamics of multi-ring vortex necklace solitons in Kerr nonlinear media with azimuthally modulated Bessel potentials, revealing stable high-winding-number vortex structures with potential applications in complex light field manipulation.

Contribution

It introduces a novel setup supporting stable multi-ring vortex necklace solitons with high topological charges, overcoming instability issues of conventional vortex beams.

Findings

High-winding-number vortex necklaces can be stable in the proposed setup.

Octupole vortex necklaces exhibit stable breathing dynamics.

12-pole necklaces with high winding numbers may be stable.

Abstract

We address the existence, stability, and dynamics of single-ring and multi-ring vorticity-carrying necklace solitons under the action of the Kerr nonlinearity and a Bessel-lattice potential modulated in the azimuthal direction. The model may be realized in the spatial domain for bulk optical waveguides, the spatiotemporal domain for optical cavities, and for effectively two-dimensional Bose-Einstein condensates. The setup supports single- and multi-ring necklace vortex patterns, including monopoles, dipoles, tripoles, quadrupoles, pentapoles, sextupoles, octupoles, and 12-poles. In contrast with the inherent instability of conventional vortex beams with high topological charges (winding numbers), vortex necklace-shaped solitons with large winding numbers are found to be stable in the present setup. In particular, octupoles exhibit stable breathing dynamics, and 12-pole necklaces with high winding numbers may be stable. These findings provide a new way for generating stable vortex necklaces, offering a vast potential for manipulations of complex spatiotemporal light fields.