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Analysis of atmospheric turbulence measurements obtained with the Starfire Optical Range 3.5-m telescope adaptive optical system

The adaptive optical system for the Starfire Optical Range 3.5-meter telescope includes a SHack-Hartmann wavefront sensor (WFS) with 30 by 30 subapertures and a continuous facesheet deformable mirror (DM) with 31 by 31 actuators within the telescope aperture. Time histories of turbulence- induced phase distortions have been estimated from WFS gradient measurements and DM actuator commands acquired simulators with the adaptive optics loop closed. The statistics of these phase distortion profiles have been characterized in terms of spatial structure functions, Zernike coefficient statistics, and temporal power spectral densities. The results obtained are in good agreement with predictions based upon Kolmogorov theory.