Abstract

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

© 2008 Optical Society of America

Observation of two-dimensional lattice interface solitons

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner
Opt. Lett. 33(7) 663-665 (2008)

Demonstration of surface soliton arrays at the edge of a two-dimensional photonic lattice

Xiaosheng Wang, Alex Samodurov, and Zhigang Chen
Opt. Lett. 33(11) 1240-1242 (2008)

Spatiotemporal surface solitons in two-dimensional photonic lattices

Dumitru Mihalache, Dumitru Mazilu, Falk Lederer, and Yuri S. Kivshar
Opt. Lett. 32(21) 3173-3175 (2007)

Two-dimensional disordered lattice solitons

Nikolaos K. Efremidis
Opt. Lett. 34(5) 596-598 (2009)

Stable soliton complexes in two-dimensional photonic lattices

Yaroslav V. Kartashov, Alexey A. Egorov, Lluis Torner, and Demetrios N. Christodoulides
Opt. Lett. 29(16) 1918-1920 (2004)