Elliptically modulated self-trapped singular beams in nonlocal nonlinear media: ellipticons

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...

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Bibliographic Details
Published in:Optics express 2007-12, Vol.15 (26), p.18326-18338
Main Authors: Lopez-Aguayo, Servando, Gutiérrez-Vega, Julio C
Format: Article
Language:English
Subjects:
Computer Simulation
Light
Manufactured Materials
Models, Theoretical
Nonlinear Dynamics
Refractometry - methods
Scattering, Radiation
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Summary: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.
ISSN:1094-4087
1094-4087
DOI:10.1364/oe.15.018326