Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-08-08
Nonlinear Sciences
Pattern Formation and Solitons
3 pages, 4 figures, submitted to Opt. Lett
Scientific paper
10.1364/OL.33.002761
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.
Kivshar Yuri S.
Molina Mario I.
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