Nonlinear Phenomena in Complex Systems, 2012, Vol.15, No.4, pp.326-338

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2012, Vol.15, No.4, pp.326-338

Propagation, Interaction, and Instabilities of Optical Vortices in Resonant Media.
Oleg G. Romanov and Alexei L. Tolstik

The features of propagation and interaction phenomena for singular light beams in resonant media have been analyzed theoretically and numerically. The influence of self-focusing and defocusing processes on the characteristics of optical vortices with different topological structure has been studied. The parameters for spatially localized structures in the form of dark vortex solitons have been characterized. The conditions for modulational instability of transverse structure of optical vortices have been determined and various scenarios of vortices break-up have been found numerically. The peculiarities of two- and three-vortices interaction have been discussed both for focusing and defocusing types of nonlinearity.

Key words: nonlinear optics, singular optics, optical vortex, resonant medium, modulation instability

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