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
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