Observation of double-charge discrete vortex solitons in hexagonal photonic lattices

Authors

B Terhalle
T Richter
KJH Law
D Gories
P Rose
TJ Alexander
PG Kevrekidis, University of Massachusetts - AmherstFollow
AS Desyatnikov
W Krolikowski
F Kaiser
C Denz
YS Kivshar

Publication Date

2009

Journal or Book Title

PHYSICAL REVIEW A

Abstract

We report on the experimental observation of stable double-charge discrete vortex solitons generated in hexagonal photonic lattices created optically in self-focusing nonlinear media and show that single-charge vortex solitons are unstable in analogous conditions. Subsequently, we study, both theoretically and experimentally, the existence and stability of spatial vortex solitons in two-dimensional hexagonal photonic lattices. We demonstrate that the stability of the double-charge vortices is a consequence of the intersite power exchange in the vortex soliton, and we provide a simple stability criterion on the basis of the analysis of the corresponding discrete nonlinear model. We extend our analysis to the case of defocusing nonlinearity and show the inversion of the vortex stability properties resulting in the fact that single-charge vortices become stable while their double-charge counterparts are unstable.

Comments

The published version is located at http://pra.aps.org/abstract/PRA/v79/i4/e043821

Pages

-

Volume

79

Issue

4

Recommended Citation

Terhalle, B; Richter, T; Law, KJH; Gories, D; Rose, P; Alexander, TJ; Kevrekidis, PG; Desyatnikov, AS; Krolikowski, W; Kaiser, F; Denz, C; and Kivshar, YS, "Observation of double-charge discrete vortex solitons in hexagonal photonic lattices" (2009). PHYSICAL REVIEW A. 53.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/53