Error in compensating phase fluctuations of wave field by means of adaptive reflectors with continuous or compound surface

Computer Science

Scientific paper

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Phase Deviation, Radio Telescopes, Reflecting Telescopes, Reflectors, Atmospheric Turbulence, Dimensions, Errors, Ratios, Segments

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Scientific paper

Abstract

Adaptive reflectors are considered for compensation of phase fluctuations of a wave field in optical or radio telescopes, the mechanism being based on the relation between the space characteristics of phase fluctuations and the dimensions of the controllable reflector surface segment. Three methods of such a compensation were developed: (1) progressive shifting of movable reflector segments; (2) progressive shifting as well as tilting of movable reflector segments; and (3) bending of continuous fixed reflector surface. The dispersion of phase fluctuations in the reflected wave field is calculated for each case as a function of the statistical characteristics of phase fluctuations in the incident field and as a function of the characteristic dimension of the controllable reflector surface. This dispersion characterizes the compensation error and depends on the ratio of that characteristic reflector dimension to the coherence radius of turbulence in the atmosphere. In turn, the ratio of this error to the dispersion of phase fluctuations in a turbulent atmosphere depends on the ratio of characteristic reflector dimensions to telescope aperture diameter.

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