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arXiv · 0902.2385

Localized structures in Kagome lattices

K. J. H. Law·Avadh Saxena·P. G. Kevrekidis·A. R. Bishop
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Abstract

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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K. J. H. Law, Avadh Saxena, P. G. Kevrekidis, A. R. Bishop. 2009-02-13. Localized structures in Kagome lattices. https://doi.org/10.1103/physreva.79.053818

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