Statistical properties in the chaotic regime of the MaxwellBloch equations
Abstract
The statistical properties of the electric field solution of the MaxwellBloch equations describing a single mode, homogeneously broadened laser in the mean field limit are investigated in the strange attractor regime. The electric field distribution sis calculated and it is found that the low order intensity moments are somewhat higher than those for thermalchaotic light whilst the higher order moments are substantially lower. The field and intensity correlation functions are also calculated and found to exhibit radically different behaviour. The results are interpreted in terms of iterative map which is dederived using multiple timescale perturbation theory. It is shown that a simple random phasor model is compatible with the numerical data.
 Publication:

Optics Communications
 Pub Date:
 May 1984
 DOI:
 10.1016/00304018(84)900129
 Bibcode:
 1984OptCo..50...56B
 Keywords:

 Electric Fields;
 Laser Outputs;
 Maxwell Equation;
 Statistical Distributions;
 Stochastic Processes;
 Strange Attractors;
 Laser Modes;
 Mathematical Models;
 Perturbation Theory;
 Statistical Correlation;
 Lasers and Masers