Title :
Discrete-ring vortex solitons
Author :
Desyatnikov, Anton S. ; Dennis, Mark R. ; Ferrando, Albert
Author_Institution :
Nonlinear Phys. Center, Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
We study analytically and numerically the existence and stability of discrete vortex solitons in the circular arrays of nonlinear optical waveguides, governed by the discrete nonlinear Schrödinger equation. Stable vortex breathers with periodically oscillating topological charge are identified and a continuous interpolating map is constructed which allows to recover trajectories of individual phase dislocations in the form of hyperbolic avoided crossings.
Keywords :
Schrodinger equation; optical solitons; optical waveguide theory; vortices; discrete nonlinear Schrodinger equation; discrete-ring vortex solitons; hyperbolic avoided crossings; nonlinear optical waveguides; periodically oscillating topological charge; phase dislocations; vortex breathers; Electromagnetics; Numerical stability; Optical waveguides; Solitons; Stability analysis; Trajectory;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on
Conference_Location :
Kyiv
Print_ISBN :
978-1-4244-8859-9
DOI :
10.1109/MMET.2010.5611414
