Some problems connected with the development of modern ground-based adaptive telescope are investigated, in particular, to its equipment with additional optical system of formation of a laser reference star. This paper is devoted to problems of determining of the type of a formed laser reference star. The matter is that the scientific literature monostatic and bistatic schemes of formation of a laser reference star are known. It is assumed in the monostatic scheme that the laser beam is focused in the atmosphere so, as the fluctuations of the laser reference star caused by the radiation that has passed the forward and back paths have maximum correlation. An opposite situation is observed for the bistatic scheme the fluctuations caused by the radiation that has passed the forward and back paths are assumed completely uncorrelated. In this paper, the results of calculations are presented for general scheme of formation of the laser reference star, when the arbitrary correlation between the random image angular shifts caused by the fluctuations on the forward and back paths can be obtained. The expressions for the monostatic and bistatic schemes are obtained as the limiting cases.