Stable higher-charge discrete vortices in hexagonal optical lattices

Abstract

We show that double-charge discrete optical vortices may be completely stable in hexagonal photonic lattices where single-charge vortices always exhibit dynamical instabilities. Even when unstable the double-charge vortices typically have a much weaker instability than the single-charge vortices, and thus their breakup occurs at longer propagation distances.

References in corpus (6)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Observation of 2nd band vortex solitons in 2D photonic lattices
• Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity
• Soliton topology versus discrete symmetry in optical lattices
• Observation of two-dimensional lattice interface solitons
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Cited by in corpus (7)

• Vortex solitons in twisted circular waveguide arrays
• Vortex solitons in topological disclination lattices
• Stable vortex solitons sustained by a localized gain in the cubic medium
• Existence and stability of multisite breathers in honeycomb and hexagonal lattices
• Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: theoretical analysis, numerical computation and experimental results
• Fractional discrete vortex solitons
• Vortex solitons in star networks