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Journal of Physics A Mathematical Nuclear and General

Many-time photocount distributions

S. K. Srinivasan, S Sukavanam, E. C. G. Sudarshan

Published Dec 1, 1973• 9 citations
Publisher

Abstract

The generating function is obtained for N photocounts for a gaussian optical field with a lorentzian profile without any restriction to the intervals during which the photodetectors are open. The method may be generalized to arbitrary spectral profiles using the method of Srinivasan and Sukavanam (1971 and 1972).
DOI
10.1088/0305-4470/6/12/015

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Results have been presented by Bedard (see abstr. A33736 of 1967) on the derivation of the N-fold joint photocount distribution of a Gaussian (thermal) radiation field of arbitrary spectral profile, when the counting-time intervals are short compared with the coherence time of the light. In this paper these results are extended for arbitrary counting-time intervals. The authors assume that the fluctuating radiation field has a fixed direction of propagation and that all the photodetector surfaces lie within one coherence area on a plane normal to this direction of propagation. The evaluation of the -fold joint photocount distribution and the photocount moments can be reduced to the solution of either a homogeneous or an inhomogeneous (Fredholm) integral equation of the second kind.