Cylindrically Symmetric Self-trapped Beams in a Higher-order Nonlinear Medium

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Published under licence by IOP Publishing Ltd
, , Citation Z Jovanoski and R A Sammut 1998 Phys. Scr. 57 233 DOI 10.1088/0031-8949/57/2/014

1402-4896/57/2/233

Abstract

Using a variational approach, we examine analytically the three-dimensional self-trapping of Gaussian beams in a medium with higher-order nonlinearity. We find exact analytic solutions for the spot width, and the conditions under which the Gaussian beam is stable to perturbation of its spot width. We also make a comparison with a Kerr-law medium.

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10.1088/0031-8949/57/2/014