To provide complete compensation for turbulent distortions in the visi
ble range at aperture dimensions typical for modern telescopes (6-10 m
), one needs to develop adaptive systems with hundreds of control chan
nels. More simple adaptive systems that provide complete compensation
in the infrared range can give an essential advantage in angular resol
ution in the visible range too. In this case the image brightness char
acterized by the Strehl ratio remains much less than that in the diffr
action-limited case, i.e., the system provides only partial compensati
on. We present the results of numerical calculations of the partially
corrected point-spread function and discuss possible approaches to com
posing the adaptive system configuration. (C) 1998 Optical Society of
America.