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


Por: Garcia-March, MA, Ferrando A., Zacarés M., Sahu S., Ceballos-Herrera D.E.

Publicada: 1 may 2009
Categoría: Atomic and Molecular Physics, and Optics

Resumen:
We determine the functional behavior near the discrete rotational symmetry axis of discrete vortices of the nonlinear Schrodinger 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.

Filiaciones:
Ferrando A.:
 Departament d'Óptica, Universitat de València, Dr. Moliner, 50, E-46100 Burjassot (València), Spain

Zacarés M.:
 Institut Universitari de Matemàtica Pura i Aplicada (IUMPA), Universitat Politècnica de València, Camí de Vera, s/n, E-46022 València, Spain

Sahu S.:
 Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

Ceballos-Herrera D.E.:
 Institut Universitari de Matemàtica Pura i Aplicada (IUMPA), Universitat Politècnica de València, Camí de Vera, s/n, E-46022 València, Spain

 Centro de Investigaciones en Óptica A.C., León, Gto. 37170, Mexico
ISSN: 10502947
Editorial
AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, Estados Unidos America
Tipo de documento: Article
Volumen: 79 Número: 5
Páginas:
WOS Id: 000266500900190
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