Abstract
The propagation of a cylindrically symmetric Gaussian beam in a cubic-quintic nonlinear medium is analysed via a variational approach. Explicit conditions for stationary beam propagation are determined and their stability to symmetric perturbation of the spot width is established. Approximate analytical solutions are secured for the spot width modulation with propagation distance. A comparison is made with beams propagating in a medium exhibiting a two-level saturation.
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