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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 5 — May. 1, 1985
  • pp: 674–682

Computation of photoelectron counting distributions by numerical contour integration

Carl W. Helstrom  »View Author Affiliations


JOSA A, Vol. 2, Issue 5, pp. 674-682 (1985)
http://dx.doi.org/10.1364/JOSAA.2.000674


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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

History
Original Manuscript: July 23, 1984
Manuscript Accepted: January 10, 1985
Published: May 1, 1985

Citation
Carl W. Helstrom, "Computation of photoelectron counting distributions by numerical contour integration," J. Opt. Soc. Am. A 2, 674-682 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-5-674

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