Abstract

Cumulative distributions of the number of photoelectrons ejected during a fixed interval can be computed by numerical contour integration in the complex plane when the light incident upon the detector is a combination of coherent light and incoherent background light with arbitrary spectral density. The integrand involves the probability-generating function of the distribution, and a method for computing it in terms of the solution of a certain integral equation is described. The method is related to those for the estimation of a stochastic process in the presence of white noise. An approximation valid for large values of the time–bandwidth product is also described.

© 1985 Optical Society of America

Computation of photoelectron counting distributions by numerical contour integration. II. Light with rational spectral density

Carl W. Helstrom
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Onefold photoelectron-counting statistics of mixtures of thermal and coherent radiation

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Photoelectron Count Distributions Due to Periodic Irradiance Modulation*†

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