Abstract
A simple technique for reconstructing a wavefront from the measurements of a Shack-Hartmann sensor is described. The optimal estimator used is analysed for the effect of errors in the turbulence model at different light levels. The method is then analysed in situations where the size of the wavefront sensor is restricted by the number of available photons and a guide star is not available. The algorithm uses a priori statistics of the turbulence derived by observing a nearby bright star which can be outside the isoplanatic angle. This differs from previously published estimators since the a priori information is measured rather than derived from a theoretical model of the turbulence.
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