Abstract
We demonstrate the existence and stability properties of fundamental and ring-profile vortex solitons in a defocusing Kerr medium with an imprinted radially symmetric lattice with a lower-index core covering several lattice rings. The decrease of energy flow with the growth of topological charge is explained using the law of conservation of energy. In contrast to the vortices in bulk media with competing nonlinearities, vortex solitons in radial lattices with defects are stable at lower- or moderate-energy flow. In particular, we reveal that vortex solitons with different charges share a substantially collective stability area. Higher-charged vortices at higher-energy flow suffer a weak oscillatory instability, which allows them to survive very long propagation distances without visible distortions.
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