Turbulent Filamentation in Lasers with High Fresnel Numbers

TL;DR

This paper presents a theoretical framework for understanding turbulent photon filamentation in high Fresnel number lasers, supported by experimental observations and a probabilistic approach to pattern selection.

Contribution

It introduces a novel theoretical method using pseudospin laser equations and stochastic averaging to analyze filamentation dynamics in high Fresnel number lasers.

Findings

Characteristics of photon filaments are quantitatively described.

Theoretical predictions align with experimental observations.

Pattern selection is explained through probabilistic methods.

Abstract

The theory of turbulent photon filamentation in lasers with high Fresnel numbers is presented. A survey of experimental observations of turbulent filamentation is given. Theoretical description is based on the method of eliminating field variables, which yields the pseudospin laser equations. These are treated by the scale separation approach, including the randomization of local fields and the method of stochastic averaging. The initial, as well as the transient and final stages of radiation dynamics are carefully analysed. The characteristics of photon filaments are obtained by involving the probabilistic approach to pattern selection.