Probability density functions for speckle imaging in astronomy

Claude Aime

doi:10.1117/12.226714

10 November 1995 Probability density functions for speckle imaging in astronomy

Claude Aime

Proceedings Volume 2647, International Conference on Holography and Correlation Optics; (1995) https://doi.org/10.1117/12.226714
Event: International Conference on Holography and Correlation Optics, 1995, Chernivsti, Ukraine

Abstract

We present in this communication an introduction to the speckle technique of probability imaging. The technique is aimed at performing the reconstruction of astronomical images from ground based observations; it makes use of a complete statistical analysis of the speckle field by means of probability density functions and related quantities such as characteristic functions. The technique is first described for the simple case of imaging a binary star and simplifying assumptions for the statistics of the speckle pattern. Then the general case is considered, and it is shown how the characteristic function of the extended object speckle pattern can be modeled as a central slice of a higher order characteristic function of the point source speckle pattern. Corresponding relations for probability density functions are given. Effects of noise in the measurement are examined for the two cases of additive noise and photon noise. Relations between probability imaging, speckle interferometry, and speckle masking are presented.

Citation Download Citation

Claude Aime "Probability density functions for speckle imaging in astronomy", Proc. SPIE 2647, International Conference on Holography and Correlation Optics, (10 November 1995); https://doi.org/10.1117/12.226714

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