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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

  • Editor: Franco Gori
  • Vol. 31, Iss. 1 — Jan. 1, 2014
  • pp: 7–15

Effects of dead time and afterpulses in photon detector on measured statistics of stochastic radiation

Victor Kornilov  »View Author Affiliations


JOSA A, Vol. 31, Issue 1, pp. 7-15 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000007


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Abstract

Many physical experiments require analysis of the statistics of fluctuating radiation. In the case of an ideal single-photon detector, the contribution of photon noise to the statistics of the registered signal has been thoroughly examined. However, practical photon counters have a dead time, leading to miscounting of certain true events, and sometimes the counters generate false afterpulses. This study investigates the impact of these two effects, and it presents the theoretical relations between the statistical moments of the radiation and the registered counts while also accounting for dead time and the probability of afterpulses. Expressions for statistical moments of any order are obtained on the basis of the generalized Poisson distribution. For counters with paralyzable dead time, alternative relations for the mean and variance are derived using generally accepted formulas. As an example, the measurements of stellar scintillation and the result of a simple experiment are considered. The results of the experimental verification of the theoretical expression confirm the need to account for the nonideal nature of detectors in almost all similar measurements.

© 2013 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.5260) Coherence and statistical optics : Photon counting
(030.5290) Coherence and statistical optics : Photon statistics
(290.5930) Scattering : Scintillation

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: July 26, 2013
Revised Manuscript: October 16, 2013
Manuscript Accepted: November 10, 2013
Published: December 2, 2013

Citation
Victor Kornilov, "Effects of dead time and afterpulses in photon detector on measured statistics of stochastic radiation," J. Opt. Soc. Am. A 31, 7-15 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-1-7

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