UDC 534.1

PHASE PORTRAITS OF SPATIAL MOMENTS of a COLLIMATED WAVE BEAM IN CONTROLLED AND FREE MODES

 

A. V. Blank, N. A. Suhareva

 M.V.Lomonosov Moscow State University, Faculty of Physics,  Leninskie Gory, 1-2, Moscow 119991, Russia

 

The paper is received on November 8, 2019

 

Abstract. The results of an experimental study of the structure of phase trajectories of the energy center of a collimated wave beam are presented. A significant difference was found between phase portraits and values ​​of the dimension of the embedded space for the vertical and horizontal components of the first spatial moment. A qualitative difference between phase portraits realized in laminar flows and coherent turbulence is considered. A preliminary estimation of the spectra of the Poincaré return times is performed. The reconstruction and analysis of phase portraits for stationary modes and phase trajectories for non-stationary can be the basis for the method of visual control of the dynamic modes of spatio-temporal beam aberrations and the classification of states of non-stationary and nonequilibrium atmospheres.

Key words: collimated beam, turbulent atmosphere, phase portrait, chaos maps, Poincare return time, tilt correction.

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For citation:

Blank A.V., Suhareva N.A. Phase portraits of spatial moments of  a collimated wave beam in controlled and free modes. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 11. Available at http://jre.cplire.ru/jre/nov19/9/text.pdf

DOI 10.30898/1684-1719.2019.11.9