Mathematics – Probability
Scientific paper
Nov 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977mnras.181..365b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 181, Nov. 1977, p. 365-374.
Mathematics
Probability
3
Imaging Techniques, Interferometry, Speckle Patterns, Telescopes, Low Visibility, Probability Density Functions
Scientific paper
Single and joint probability density functions are obtained for speckle images of an object that would be large enough to be resolved by a particular telescope if seeing conditions were perfect. It is assumed that the object is much smaller than the seeing disk (defined as a long-exposure image of an object which is too small to be resolved by a telescope even with perfect seeing) under almost all seeing conditions experienced at the telescope's location. The first- and second-order statistics of speckle images are developed for arbitrary statistical correlation across the seeing disk. Effects on speckle interferometric processing caused by recording nonlinearities are discussed, and two-level quantization of speckle images is analyzed separately for bright and faint objects. A practical procedure is outlined for recovering the fringe visibility from distorted speckle images.
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