Abstract
This paper proposes an approximate method of describing and estimating how intensity affects
the focusing parameters of radiation propagating in a weakly scattering nonlinear optical
medium. The method uses the characteristics of the propagating radiation averaged over the cross
section. A description and an estimate of the nonlinear effect are given for a weakly
scattering medium with an activation shape of the dependence of the light scattering on the
radiation intensity for weak focusing. The phenomenon of the penetration of a cylindrical
transmission channel is predicted.
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