The numerical simulation of adaptive system operation with two sequentially located 18-channel adaptive mirrors with size of 46x56 mm2 in the problem of the phase correction of the laser beam in size of 15x22 mm2 has been carried out. The control of the adaptive mirrors has been realized by the stochastic parallel gradient algorithm. A set of 36 Gaussian functions with a width d=1.73 cm was used to model the response functions of adaptive mirrors. 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 variant 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 strong 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 on the first adaptive mirror relatively small stochastic voltages. The mutual influence of adaptive mirrors on each other's work during correction is investigated.
$^1$The branch of Lomonosov Moscow State University in Sarov