The numerical simulation of adaptive optical system operation with two sequentially located adaptive mirrors has been carried out. The control of the adaptive mirrors has been realized by the stochastic parallel gradient algorithm. The radiation power within the diffraction angle is the criterion functional of the algorithm. Two variants of system operation have been considered: in the first variant the mirrors have the joint control unit and the criterion functional sensor, and in the second one each mirror is situated in the independent contour. The similar adaptive systems can be applied to the correction of phase distortions of the radiation caused by turbulence of the atmosphere. It is shown that the efficiency of correction of phase aberrations by such adaptive system is high in the case of the independent contours at supplying relatively small stochastic voltages to the first adaptive mirror.
The paper presents the results of numerical simulation of focusing a laser beam with the non-diffraction angular divergence through the turbulent atmosphere using the adaptive optical system. The operation of the adaptive optical system is based on the phase conjugation principle. The adaptive phase correction of the outgoing laser and reference beams is assumed to be imperfect. The numerical calculations of the laser beam propagation to a remote receiver through the turbulent atmosphere under conditions of imperfect phase conjugation have been carried out. It is found that St=StR·StL, where St is the Strehl ratio for the laser beam at the receiver, StR and StL are the Strehl ratios for reference and outgoing laser beams, respectively. This formula is true for St>0.03.
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