Second order statistics of astronomical speckle pattern used for image reconstruction

Details Second order statistics of astronomical speckle pattern used for image reconstruction Second order statistics of astronomical speckle pattern used for image reconstruction

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990spie.1351..628a&link_type=abstract

IN: Digital image synthesis and inverse optics; Proceedings of the Meeting, San Diego, CA, July 9-13, 1990 (A92-18776 05-74). Be

Mathematics

Probability

2

Astronomical Photography, Image Reconstruction, Probability Density Functions, Speckle Interferometry, Speckle Patterns, Angular Resolution, Double Stars, Image Processing, Seeing (Astronomy), Statistical Analysis

Scientific paper

The current progress in developing the technique of probability imaging is described based on a complete statistical analysis of the speckle pattern observed at the focus of a larger telescope. The technique, which was first proposed for the imaging of double and multiple stars, is here generalized to the image reconstruction of any general extended astronomical object. Making use of a technique of orthonormal expansion currently employed in statistical optics, a mathematical expression for the characteristics function of any order of the speckle pattern is given as the inverse of the determinant of a matrix whose elements are defined by the spatial correlation function of the amplitude of the point source speckle pattern and a diagonal matrix representing the astronomical object. Recent results obtained for a bright infrared double star and simulations of the implementation of the algorithm for optical photon-counting detectors with clipping problems are given. The use of the technique for synthesized apertures is also considered.

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