Abstract: The model for simulating the components of an adaptive optics system is describedand is numerically applied to the laser beam propagation through turbulent atmosphere in thesense of phase compensation. Results are given and disccused for compensated Strehl ratiovariation with atmospheric coherent length anisoplanation and the finite bandwidth in anadaptive servo system. Also the variation of residual phase deviation vs d/r₀ is given in thismodel.