Open AccessElliptically modulated self-trapped singular beams in nonlocal nonlinear media: ellipticons
Author(s) -
Servando López-Aguayo,
Julio C. Gutiérrez-Vega
Publication year - 2007
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.018326
Subject(s) - quantum nonlocality , physics , nonlinear system , limit (mathematics) , self focusing , self phase modulation , isotropy , generalization , classical mechanics , nonlinear optics , laguerre polynomials , optics , quantum mechanics , mathematical analysis , laser beams , mathematics , quantum , laser , quantum entanglement
We introduce a new class of elliptically modulated self-trapped singular beams in isotropic nonlinear media where nonlocality plays a crucial role in their existence. The analytical expressions in the highly nonlocal nonlinear limit of these elliptically shaped self-trapped beams, or ellipticons, is obtained and their existence in more general nonlocal nonlinear media is demonstrated. We show that the ellipticons represent a generalization of several known self-trapped beams, for example vortex solitons, azimuthons, and the Hermite and Laguerre solitons clusters. For the limit of the highly nonlocal nonlinear medium, the ellipticons are described in close form in terms of the InceGauss functions.