Localized structures in Kagome lattices

TL;DR

This paper explores the existence and stability of localized vortex and soliton structures in Kagome lattices, using analytical predictions and experimental confirmation in optical photorefractive crystals.

Contribution

It introduces a novel analysis of gap vortices and multi-pole solitons in Kagome lattices, combining analytical expansion and experimental validation.

Findings

Predicted stable gap vortices and solitons in Kagome lattices.

Confirmed predictions through experiments in photorefractive crystals.

Established a link between discrete and continuum models.

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.