Symmetry, winding number, and topological charge of vortex solitons in discrete-symmetry media

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.053820· OSTI ID:21313096

Garcia-March, Miguel-Angel; Zacares, Mario ^[1]; Ferrando, Albert ^[2]; Sahu, Sarira ^[3]; Ceballos-Herrera, Daniel E ^[1]

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1. Institut Universitari de Matematica Pura i Aplicada (IUMPA), Universitat Politecnica de Valencia, Cami de Vera, s/n, E-46022 Valencia (Spain)
2. Departament d'Optica, Universitat de Valencia, Dr. Moliner, 50, E-46100 Burjassot (Valencia) (Spain)
3. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Circuito Exterior, C.U., A. Postal 70-543, 04510 Mexico DF (Mexico)

We determine the functional behavior near the discrete rotational symmetry axis of discrete vortices of the nonlinear Schroedinger equation. We show that these solutions present a central phase singularity whose charge is restricted by symmetry arguments. Consequently, we demonstrate that the existence of high-charged discrete vortices is related to the presence of other off-axis phase singularities, whose positions and charges are also restricted by symmetry arguments. To illustrate our theoretical results, we offer two numerical examples of high-charged discrete vortices in photonic crystal fibers showing hexagonal discrete rotational invariance.

• OSTI ID: 21313096
• Journal Information: Physical Review. A, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevA.79.053820; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTALS
FIBERS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ROTATIONAL INVARIANCE
SCHROEDINGER EQUATION
SINGULARITY
SOLITONS
SYMMETRY
TOPOLOGY
VORTICES