Use of a reference source in probability imaging

Details Use of a reference source in probability imaging Use of a reference source in probability imaging

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apopt..32.2747a&link_type=abstract

Applied Optics (ISSN 0003-6935), vol. 32, no. 15, p. 2747-2757.

Mathematics

Probability

3

Astronomical Interferometry, Image Reconstruction, Probability Density Functions, Speckle Interferometry, Speckle Patterns, Statistical Analysis, Atmospheric Turbulence, Double Stars, Fourier Transformation, Signal To Noise Ratios

Scientific paper

We describe the relations between the statistics of the speckled image I(x) that is produced by an astronomical object at the focus of a telescope and the statistics of the point-source speckle pattern S(x) that is obtained under comparable conditions of turbulence. We show that the characteristic function (CF) of I(x) can be written as a central slice of a higher-order CF of S(x); as a consequence, probability density functions (PDF's) of I(x) and S(x) are related to one another by means of projections. An illustration, consisting of one-dimensional scans obtained with the European Southern Observatory's slit-scanning infrared specklograph, is made for real data. It is shown how the onefold and twofold PDF's of a double star can be synthesized from the twofold and the threefold PDF's of the reference source.

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