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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