Surface defect gap solitons in two-dimensional optical lattices

Abstract

We investigate the existence and stability of surface defect gap solitons at an interface between a defect in a two-dimensional optical lattice and a uniform saturable Kerr nonlinear medium. The surface defect embedded in the two-dimensional optical lattice gives rise to some unique properties. It is interestingly found that for the negative defect, stable surface defect gap solitons can exist both in the semi-infinite gap and in the first gap. The deeper the negative defect, the narrower the stable region in the semi-infinite gap will be. For a positive defect, the surface defect gap solitons exist only in the semi-infinite gap and the stable region localizes in a low power region.

Beam evolutions of solitons in strongly nonlocal media with fading optical lattices

“…Solitons in optical lattices, which might be used for alloptical signal processing and routing, have recently attracted a great deal of interest. [1][2][3] Surface solitons in one-dimensional composite Bessel optical lattices, [4] self-similar spatiotemporal solitary waves in Bessel-Hermite optical lattices, [5] and surface defect gap solitons in two-dimensional optical lattices [6] were analyzed, and a number of unique properties were revealed. Variations of the lattice shape in the longitudinal direction offer a wealth of opportunities for soliton control.…”

Open critical area model and extraction algorithm based on the net flow-axis

“…The first kind is based on Monte Carlo calculations, [27] with its advantage of easy yield estimation and its disadvantage of low speed. The second one is the geometric method by means of polygon operator and the method based on Voronoi diagram, [28][29][30][31] the former is better in calculation efficiency, and the latter is better in calculation accuracy. It is a pity that defects are assumed to be approximately square.…”