Abstract
The steady-state focusing-defocusing of a laser beam in a medium characterized by built-in radial inhomogeneity and nonlinearity of a saturating nature has been investigated in the paraxial approximation. By use of the parabolic equation for wave propagation and a complex eikonal, coupled differential equations for the beam-width parameter, absorption parameter, and nonlinearity parameter have been obtained. The numerical solution of these equations for a typical set of parameters yields the dependence of the beam width and axial irradiance on distance of propagation. A discussion of the results follows. The situations for which the analysis may be applicable are indicated in the introduction.
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