Optimal algorithm for amplitude-phase control in adaptive-optics systems and estimate of its quality

The problem of controlling the transmission of optical radiation through a randomly inhomogeneous medium is investigated for the case in which complete a priori information on the statistical properties of the propagation channel is available. An optimal control algorithm is found for adaptive-optics systems for an arbitrary ratio of the observation time interval to the coherence time of the propagation channel. Both cw and pulsed probe regimes are discussed. An estimate is obtained for the efficiency of this optimal algorithm for the steady adaptation state.