An analysis of the average optical transmission function and resolving power of an atmosphere-telescope system with adaptive compensation for random inclinations of the wave front

An atmosphere-telescope optical system with adaptive compensation for random inclinations of the wave front of light emission from the object is analyzed. The average optical transmission function (OTF) and resolving power of such an optical system for different ratios of the spatial characteristics of the atmosphere and telescope are investigated on the basis of general analytical functions for a telescope with an annular aperture. A comparative analysis is made of the average OTF and resolving powers of an atmosphere-telescope optical system with adaptive compensation for random inclinations of the wave front and of a similar system without compensation. It is shown that the use of adaptive compensation for random inclinations of the wave front when recording long-exposure images allows one to increase the resolving power of the atmosphere-telescope system fourfold.