Localized structures in Kagome lattices

Details Localized structures in Kagome lattices Localized structures in Kagome lattices

2009-02-13

arxiv.org/abs/0902.2385v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular, predictions are made based on expansion around a simple and analytically tractable anti-continuum (zero coupling) limit. These predictions are then confirmed for a continuum model of an optically-induced Kagome lattice in a photorefractive crystal obtained by a continuous transformation of a honeycomb lattice.

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