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

Claude Aime; Eric Aristidi; Henri Lanteri; Gilbert Ricort

doi:10.1117/12.23688

1 November 1990 Second-order statistics of astronomical speckle pattern used for image reconstruction

Claude Aime, Eric Aristidi, Henri Lanteri, Gilbert Ricort

Proceedings Volume 1351, Digital Image Synthesis and Inverse Optics; (1990) https://doi.org/10.1117/12.23688
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

We report in this Communication the current progress in development at the Nice University of the technique of Probability Imaging based on a complete statistical analysis of the speckle pattern observed at the focus of a large 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 characteristic 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 the bright infrared double star ? Aqr 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.

Citation Download Citation

Claude Aime, Eric Aristidi, Henri Lanteri, and Gilbert Ricort "Second-order statistics of astronomical speckle pattern used for image reconstruction", Proc. SPIE 1351, Digital Image Synthesis and Inverse Optics, (1 November 1990); https://doi.org/10.1117/12.23688

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