Mathematics
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992josaa...9.1812a&link_type=abstract
Journal of the Optical Society of America A, Vol. 9, No. 10, p. 1812 - 1821
Mathematics
15
Scientific paper
The authors present an approach to the speckle interferometry techniques of Labeyrie and Weigelt that is based on the use of the moment-generating function (MGF). The remarkable properties of the MGF's of photodetected images make it possible to obtain the expression for the photon-bias terms by a method completely different from the usual Goodman-Belsher approach. It gives the mathematical relations to predict the effect of a clipped photodetection of the image on the autocorrelation and triple correlation functions. As a result, clipping ruins the linear relationship between object and reference source for these functions. The effect of photon recentering is also investigated and is directly related to a single-photon clipping effect. Analytical expressions for a normal speckle pattern are given.
Aime Claude
Aristidi Eric
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