Localized modes in nonlinear photonic kagome nanoribbons

TL;DR

This paper investigates how light localizes in nonlinear kagome nanoribbons, revealing flat band-induced trapping, geometry-driven bistability, and a transition from one- to two-dimensional localization as the ribbon width varies.

Contribution

It introduces the study of localization phenomena in nonlinear kagome nanoribbons, highlighting the effects of geometry and width on light confinement and mode behavior.

Findings

Flat band causes linear trapping in narrow ribbons

Bistability depends on ribbon width

Localization transitions from 1D to 2D with increasing width

Abstract

We examine localization of light in nonlinear (Kerr) kagome lattices in the shape of narrow strips of varying width. For the narrowest ribbon, the band structure features a flat band leading to linear dynamical trapping of an initially localized excitation. We also find a geometry-induced bistability of the nonlinear modes as the width of the strip is changed. A crossover from one to two dimensions localization behavior is observed as the width is increased, attaining two-dimensional behavior for relatively narrow ribbons.