Influence of Atmospheric Turbulence Characteristics on the Frequency of Laser Parameter Fluctuations. Part 1. Mathematical Model and Numerical Experiment

Dependences of laser beam integral (radius and energy center shift) and local (intensity at a point) parameters on time and propagation conditions were determined in numerical experiments. The resulted functions were expanded into a trigonometric Fourier series, and the accuracy of the expansion was assessed. The mathematical models are presented as software applications, which enable derivation of the dependence of the frequency of spectral components on the wind speed and the inner turbulence scale. The results of the study can be used in the design of adaptive optics systems, in particular, for formulating requirements for the frequency of atmospheric distortion compensation, which is one of the main characteristics of laser beam control unit.