In this paper we study the problems associated with one of the most promising tendencies in development of current ground-based adaptive telescopes, in particular, its equipping with additional optical system for formation of a laser reference star. The calculated results are presented for such a scheme of formation of a laser reference star, which allows one to obtain arbitrary correlation between random angular shifts of the scatterer image due to fluctuations at the forward and backward paths. The expressions for the monostatic and bistatic schemes of formation of the laser reference star can be derived as limiting cases.