An experimental study on phase compensation for turbulent effects with
a 37-element adaptive optics system is performed in both a simulated
turbulence cell and in a real atmosphere. The experimental results dem
onstrate that the compensated Strehl ratio S-0,, which is influenced m
ainly by the deformable-mirror fitting error, has a functional form S-
0, = exp[-kappa(d/r(0))(5/3)], where r(0) is Fried's coherence length
and d is the average interval of the actuators on the deformable mirro
r. The fitting parameter kappa is 0.45. Numerical simulations are also
performed with the experimental parameters. The numerical results are
in agreement with data obtained in the experiment, which shows that t
he direct-tilt phase-reconstruction method used in our four-dimensiona
l simulation code is reasonable. (C) 1998 Optical Society of America.