Functional approach to the inverse problem of photon counting statistics

Vitalij N. Kurashov

doi:10.1117/12.2299149

1 September 1996 Functional approach to the inverse problem of photon counting statistics

Vitalij N. Kurashov

Proceedings Volume 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology; 27787E (1996) https://doi.org/10.1117/12.2299149
Event: 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 1996, Taejon, Korea, Republic of

Abstract

A common problem in the measurement of photon-count statistics is to estimate the probability density function (PDF) of light intensity from those of photon counts. Considerable recent attention has been focused on this problem in the context of astronomical speckle interferometry, where the statistics of the speckle pattern are used for image reconstruction^l. As this problem is typically ill-posed, its direct solution is unstable and requires some regularization procedures. Among them, the algebraic solution with Tichonov's regularization², asymptotic estimators³, and Pade approximants⁴ were proposed. We formulate here a different approach to the problem which gives quite acceptable results with reasonable facility.

Citation Download Citation

Vitalij N. Kurashov "Functional approach to the inverse problem of photon counting statistics", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787E (1 September 1996); https://doi.org/10.1117/12.2299149

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