Publication Date
2009
Journal or Book Title
PHYSICAL REVIEW A
Abstract
In this work, we focus on the subject of nonlinear discrete self-trapping of S=2 (doubly-charged) vortices in two-dimensional photonic lattices, including theoretical analysis, numerical computation, and experimental demonstration. We revisit earlier findings about S=2 vortices with a discrete model and find that S=2 vortices extended over eight lattice sites can indeed be stable (or only weakly unstable) under certain conditions, not only for the cubic nonlinearity previously used, but also for a saturable nonlinearity more relevant to our experiment with a biased photorefractive nonlinear crystal. We then use the discrete analysis as a guide toward numerically identifying stable (and unstable) vortex solutions in a more realistic continuum model with a periodic potential. Finally, we present our experimental observation of such geometrically extended S=2 vortex solitons in optically induced lattices under both self-focusing and self-defocusing nonlinearities and show clearly that the S=2 vortex singularities are preserved during nonlinear propagation.
Pages
-
Volume
80
Issue
6
Recommended Citation
Law, KJH; Song, D; Kevrekidis, PG; Xu, J; and Chen, ZG, "Geometric stabilization of extended S=2 vortices in two-dimensional photonic lattices: Theoretical analysis, numerical computation, and experimental results" (2009). PHYSICAL REVIEW A. 33.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/33
Comments
This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v80/i6/e063817