Abstract
An analytical solution to the equation for the effective radius of a high-power femtosecond laser beam in the approximation of the intensity Gaussian profile during its self-focusing in air is found. This equation was derived based on the equation for the Wigner function of the laser radiation field in developed optical turbulence conditions. Estimates are presented of the global self-focusing distance versus the peak radiation power, as well as its divergence after the nonlinear focus.
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