Dynamics of two-dimensional coherent structures in nonlocal nonlinear media

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A. I. Yakimenko,^1,2 V. M. Lashkin,¹ and O. O. Prikhodko²
¹Institute for Nuclear Research, Prospect Nauki 47, Kiev 03680, Ukraine
²Physical Department, Taras Shevchenko National University, Prospect Glushkova 2, Kiev 03680, Ukraine

Received 8 February 2006; published 6 June 2006

Westudy stability and dynamics of the single cylindrically symmetric solitarystructures and dipolar solitonic molecules in spatially nonlocal media. Themain properties of the solitons, vortex solitons, and dipolar solitonsare investigated analytically and numerically. The vortices and higher-order solitonsshow the transverse symmetry-breaking azimuthal instability below some critical power.We find the threshold of the vortex soliton stabilization usingthe linear stability analysis and direct numerical simulations. The higher-ordersolitons, which have a central peak and one or moresurrounding rings, are also demonstrated to be stabilized in nonlocalnonlinear media. Using direct numerical simulations, we find a classof radially asymmetric, dipolelike solitons and show that, at sufficientlyhigh power, these structures are stable.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.066605
DOI:	10.1103/PhysRevE.73.066605
PACS:	42.65.Tg; 42.65.Sf; 42.70.Df; 52.38.Hb 42.65.Tg Optical solitons; nonlinear guided waves 42.65.Sf Dynamics of nonlinear optical systems including optical instabilities, optical chaos and complexity, and optical spatio–temporal dynamics 42.70.Df Liquid crystals (optical materials) 52.38.Hb Self-focussing, channeling and filamentation in plasmas YEAR: 2006
KEYWORDS:	optical solitons, optical vortices, optical self-focusing, numerical analysis

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