Statistical characteristics of optical vortices have been analyzed in the paper. As was shown such vortices appear in the radiation wavefront if the initial phase is set as a mathematical raw formed by Zernike polynomials or by a phase screen simulating atmospheric turbulence with a spectrum of the index of refraction fluctuations prescribed by a von Karman formula. In both examples considered here the statistical properties of the vortex distribution satisfy the requirements of the Central limit theorem, and acceptable correspondence is also observed between parameters of beams formed by polynomials and by a phase screen.
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.
The objective of current investigation is development of the method intended to extract useful information from a beam in the wavefront of which optical vortices are present. Developed numerical model corresponds approximately to an optical communication system operating in a turbulent atmosphere under conditions of strong distortions of radiation. Specific feature of this system is that information is also transferred by an optical vortex.
In the paper effectiveness of four algorithms designed to register optical vortices is assessed numerically and potential fields of their application are discussed. The structure of algorithms is described and input parameters required for the model realization are listed.
Properties of vortex radiation are discussed in the article using the data obtained by the authors and information found in references. Possible applications of such radiation are considered. Special attention is devoted to the methods of vortex registration. Precision of two registration algorithms is compared and particularities of their practical realization are analyzed.
The algorithm of an optical vortex coordinates and topological charge detection is considered. In the algorithm a vortex is localized as a point of an interference fringe branching. With application of the algorithm interference patterns obtained in laboratory and numerical experiments are analyzed and characteristics of vortices revealed in corresponding examples are presented.
In this paper the results of simulation are presented of multichannel radiation propagation in a turbulent atmosphere and under conditions of thermal blooming, and correction for nonlinear thermal distortion on the base of the beam phase control is considered. The results demonstrate dependence of correction effectiveness on number of channels and on precision of a reference beam phase reconstruction. Addition increase of effectiveness is possible with adjustment of amplification in the channels of the optical system, i.e., with the use of amplitude-phase control of radiation.
In this paper the results of simulation are presented of multichannel radiation propagation under conditions of thermal blooming, and correction for nonlinear thermal distortion on the base of the beam phase control is considered. The results demonstrate dependence of correction effectiveness on number of channels and on precision of a reference beam phase reconstruction. Addition increase of effectiveness is possible with adjustment of amplification in the channels of the optical system, i.e., with the use of amplitude-phase control of radiation..
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