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.
adaptive optics, atmospheric turbulence, laser guide star, monostatic and bistatic schemes, image jitter, angle correlation coefficient
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