Atmospheric turbulence imposes the resolution limit attainable by large ground-based telescopes. This limit is λ/<i>r</i><sub>0</sub>, where <i>r</i><sub>0</sub> is the Fried parameter or seeing cell size. Working in the visible, adaptive optics systems can partially compensate for turbulence-induced distortions. By analogy with the Fried parameter, <i>r</i><sub>0</sub>, we have introduced a generalized Fried parameter, ρ<sub>0</sub>, that plays the same role as r<sub>0</sub> but in partial compensation. Using this parameter and the residual phase variance, we have described the phase structure function, estimated the point-spread function halo size, and derived an expression for the Strehl ratio as a function of the degree of compensation. Finally, it is shown that ρ<sub>0</sub> represents the diameter of the coherent cells in the pupil domain.
© 2000 Optical Society of America
Manuel P. Cagigal and Vidal F. Canales, "Generalized Fried parameter after adaptive optics partial wave-front compensation," J. Opt. Soc. Am. A 17, 903-910 (2000)