DocumentCode
2697735
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
fYear
2010
fDate
6-8 Sept. 2010
Firstpage
1
Lastpage
6
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Mathematical Methods in Electromagnetic Theory (MMET), 2010 International Conference on
Conference_Location
Kyiv
Print_ISBN
978-1-4244-8859-9
Type
conf
DOI
10.1109/MMET.2010.5611414
Filename
5611414
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