Influence of atmospheric turbulence characteristics on the frequency of laser parameter fluctuations. Part 1. Mathematical model and numerical experiment
F.Yu. Kanev1, Yu.G. Grekova2
1V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Science, Tomsk, Russia
2National Research Tomsk Polytechnic University, Tomsk, Russia
Keywords: adaptive optics, atmospheric turbulence, numerical experiment, trigonometric Fourier series
Abstract
Dependence on time and conditions of propagation of a laser beam integral (radius and displacement of the energy center) and local (intensity at a point) parameters was determined numerically. The obtained functions were expanded into a trigonometric Fourier series, and the precision of expansion was assessed. The mathematical models are presented as software applications, using which the dependence of the frequency of spectral components on the wind speed and the inner turbulence scale were derived. The results of the study can be used in the design of adaptive optics systems, in particular, for formulation of requirements for frequency of correction for atmospheric distortions, which is one of the main characteristics of laser beam control unit.
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