Stabilization of multi-beam necklace solitons in circular arrays with spatially modulated nonlinearity

TL;DR

This paper investigates the stability of multi-beam necklace solitons in circular waveguide arrays with spatially modulated nonlinearity, revealing how stability depends on intensity, modulation depth, and number of spots.

Contribution

It introduces a model for necklace solitons in modulated nonlinear media and analyzes their stability conditions based on modulation parameters and number of spots.

Findings

Stability is maintained at low to moderate peak intensities.

Stability domains decrease with higher nonlinearity modulation depth.

More necklace spots lead to larger stability domains.

Abstract

We address necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons appear as rings of multiple out-of-phase bright spots. We show that necklace solitons are stable if their peak intensity is low or moderate and that the domain of stability shrinks with increasing nonlinearity modulation depth. However, we find that the stability domains expand with increasing number of necklace spots.