No abstract

No abstract

In the present article the influence is considered of phase screen characteristics on the statistical properties of dislocations developed in a beam passed this screen. Analysis was performed with application of numerical experiment methods, and in the developed model the screen represented a thin layer of turbulent atmosphere. Special attention was devoted to assessment of the turbulence inner scale impact on distribution of vortices. We have also shown that this distribution meets the requirements of the central limit theorem.

This article addresses two issues. Firstly, it was shown that if the initial phase of a Gaussian beam is specified by the sum of Zernike polynomials or by a screen simulating atmospheric turbulence, in the process of propagation, singular points appear in the wavefront of such a beam. With the use of numerical simulation, the dependence of the vortices number on the distortion characteristics and on the distance traveled by the beam was determined. The second problem analyzed in the article is the problem of a phase screen approximation by a series formed by Zernike polynomials. The carried out numerical experiments made it possible to determine the dependence of approximation accuracy on the screen parameters and on the number of polynomials entering the basis of approximation.

No abstract