Ring-shaped solitons in a "dartboard" photonic lattice

Q. E. Hoq, P. G. Kevrekidis, D. J. Frantzeskakis*, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a two-dimensional model of photorefractive media, with the usual saturable nonlinearity, and a cylindrical photonic lattice periodic in the radial direction. The saturable nonlinearity may be either self-focusing or self-defocusing, and the cylindrical lattice is introduced so that, in the former case, the potential has a maximum at the center. Ring-shaped solitons are constructed numerically. In the case of self-focusing, they are typically unstable against azimuthal perturbations, which is shown by means of numerical computations, and is also explained with the help of an analytical approximation. On the contrary, solitons of the same type may be stable if the saturable nonlinearity is self-defocusing.

Original languageEnglish
Pages (from-to)145-155
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1-4
StatePublished - 20 Jun 2005


FundersFunder number
Eppley Foundation for ResearchNSF-DMS-0204585


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