Affiliation:
1. School of Mathematics and Statistics, University College, University of New South Wales, Canberra 2600, Australia
Abstract
The variational approach has been applied to study the propagation of Gaussian beams in a medium with d-transverse dimensions and a cubic-quintic nonlinearity. We find implicit conditions for the steady-state propagation and determine the stability of steady-state solutions to symmetric perturbations. In some parameter regime the stationary beam is stable and leads to the formation of light-bullets. We have also investigated the evolution of an initial Gaussian beam with finite radius of curvature into a steady-state beam. The results of the variational approach are congruous with recent numerical simulations.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials
Cited by
4 articles.
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