Stable structures with high topological charge in nonlinear photonic quasicrystals

TL;DR

This paper investigates the stability of high-charge vortices in nonlinear photonic quasicrystals created by multiple beam interference, demonstrating their experimental feasibility and analyzing their stability through numerical and analytical methods.

Contribution

It provides the first detailed analysis of stable high-charge vortices in photonic quasicrystals with cubic and saturable nonlinearities, including experimental realization examples.

Findings

Stable charge 3 and 4 vortices are identified.

Numerical simulations confirm analytical stability predictions.

Experimental realization of a stable charge 4 vortex is demonstrated.

Abstract

Stable vortices with topological charge of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of 5 as well as 8 beams, in the cases of cubic as well as saturable nonlinearities. These structures are experimentally realizable, including a prototypical example of a stable charge 4 vortex. Direct numerical simulations corroborate the analytical and numerical linear stability analysis predictions.