Interface solitons in two-dimensional photonic lattices

TL;DR

This paper investigates how light localizes at the boundary between square and hexagonal photonic lattices, revealing conditions for stable linear and nonlinear surface states influenced by lattice topology and symmetry.

Contribution

It provides a detailed analysis of interface solitons in 2D photonic lattices, highlighting the impact of lattice topology and symmetry on their existence and stability.

Findings

Conditions for linear and nonlinear surface states identified

Lattice topology significantly influences soliton stability

Different symmetries affect the properties of interface solitons

Abstract

We analyze localization of light at the interface separating square and hexagonal photonic lattices, as recently realized experimentally in two-dimensional laser-written waveguide arrays in silica glass with self-focusing nonlinearity [A. Szameit {\em et al.}, Opt. Lett. {\bf 33}, 663 (2008)]. We reveal the conditions for the existence of {\em linear} and {\em nonlinear} surface states substantially influenced by the lattice topology, and study the effect of the different symmetries and couplings on the stability of two-dimensional interface solitons.