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

TL;DR

This paper derives a kinetic equation for filament density during femtosecond laser propagation, incorporating generation and decay effects, with parameters determined from numerical simulations based on the nonlinear Schrödinger equation.

Contribution

It introduces a general kinetic equation for filament density considering self-consistent effects, validated through numerical simulations of high-power femtosecond laser pulses.

Findings

Derived a kinetic equation for filament density.

Parameters obtained from numerical simulations.

Applicable to various threshold cases.

Abstract

A general form of the kinetic equation for filament number density considering the effects of their generation and decay is stated. It is 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 Schr\"odinger equation (NSE) for a series of the threshold particular cases.