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Atmospheric and Oceanic Optics

2023 year, number 4

Analysis of the efficiency of monostatic and bistatic schemes of the formation of laser guide star

V.V. Kleymionov, E.V. Novikova
Alexander Mozhaysky Military Space Academy, St Petersburg, Russia
Keywords: adaptive optics, atmospheric turbulence, laser guide star, monostatic and bistatic schemes, image jitter, angle correlation coefficient

Abstract

The efficiency of monostatic and bistatic schemes of the formation of a laser guide staris is analyzed on the basis of the correlation theory of Gaussian random processes. In the focal plane of a ground-based optical telescope, the position of a natural star relative to the measured instantaneous position of a laser guide star is calculated based on Pearson's linear regression. An expression is derived for the correlation coefficient of random angular displacements of images of a natural star and a laser guide star. Based on this expression, the normalized dispersion of uncompensated (residual) angular errors is determined. The results of calculations for monostatic and bistatic schemes of the formation of a laser guide star are presented, which make it possible to estimate and compare their efficiency.