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Atmospheric and Oceanic Optics

2014 year, number 4

The kinetic equation for filament density, formed during propagation of femtosecond laser radiation, in the approximation of self-consistent field

A.D. Bulygin
V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Science, 1, Academician Zuev square, Tomsk, 634021, Russia
Keywords: nonlinear diffusion equation, high-power femtosecond laser pulse, filamentation

Abstract

A general form of the kinetic equation (nonlinear diffusion equation) for filament number density considering the effects of their generation and decay is stated. It consists of the phenomenological parameters, which have been determined from the direct numerical simulation of propagation of a high-power femtosecond laser pulse (HPFLP) based on the stationary nonlinear Schrödinger equation (NSE) for a series of the threshold particular cases.