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Influence of higher-order correlations on average autocorrelation in photon-counting speckle interferometry

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Abstract

Average autocorrelations are derived from photon-counting images of a stellar object under atmospheric turbulence. In the derivation it is assumed that a detector is used on which several simultaneous close photon events are detected as only one isolated photon event. The resultant average autocorrelations are affected not only by the so-called photon-counting hole but also by additional higher-order correlations. The results of computer simulations show that the mean square error of the average autocorrelation is closely related to the ratio of the number of lost photons to the number of photons incident upon the detector (photon-loss ratio). For estimating the photon-loss ratio, a method that uses the mean of distances between nearest-neighbor photons is presented.

© 1995 Optical Society of America

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