Nonlinear modes in 2D photonic crystals can be stabilized due to effective long-range interactions.

Abstract: We predict the existence of stable nonlinear localized modes near the band edge of a two-dimensional reduced-symmetry photonic crystal with a Kerr nonlinearity. Employing the technique based on the Green function, we reveal a physical mechanism of the mode stabilization associated with the effective nonlinear dispersion and long-range interaction in the photonic crystals.

Keywords: band-gap materials; wave-guides; 2-dimensional solitons; discrete-systems; breathers

Copyright © by the respective publisher. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.