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Journal of the Optical Society of America A

Role of quantum fluctuations and the Neyman Type-A distribution in human vision (A)

Malvin Carl Teich, Paul R. Prucnal, Giovanni Vannucci, Michael E. Breton, W. J. McGill

Published Jan 1, 1979• 5 citations
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The photocounting statistics of shot-noise light have been studied extensively. Light exhibiting such statistical properties arises in photon-generation processes that involve a two-stage cascade of Poisson-based events, such as cathodoluminescence. Expressions for the photocounting distributions are complex because they depend on the overall mean of the distribution, the photodetector counting time, and the spectrum of the light. A simple two-parameter distribution, the Neyman Type-A (NTA), is shown to provide an excellent approximation to the photocounting statistics of shot-noise light with arbitrary spectral properties. The NTA distribution therefore plays the same role for shot-noise light that the negative-binomial distribution plays for chaotic light.

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Fluctuation properties of multiplied-Poisson light: Measurement of the photon-counting distribution for radioluminescence radiation from glass

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We investigate the photon statistics of light whose intensity fluctuations are due to shot noise, such as occurs in certain kinds of luminescence involving multiplied-Poisson processes. The degrees of freedom and degeneracy parameters are obtained and contrasted with those for thermal light. The excess count variance for shot-noise light exhibits particle-like fluctuations and is maximized for large counting times. Radioluminescence photons produced in glass obey the Neyman type-$A$ counting distribution predicted by the theory.

Physical Review A•Sep 1, 1981•23 citations
The photocounting statistics of shot-noise light have been studied extensively. Light exhibiting such statistical properties arises in photon-generation processes that involve a two-stage cascade of Poisson-based events, such as cathodoluminescence. Expressions for the photocounting distributions are complex because they depend on the overall mean of the distribution, the photodetector counting time, and the spectrum of the light. A simple two-parameter distribution, the Neyman Type-A (NTA), is shown to provide an excellent approximation to the photocounting statistics of shot-noise light with arbitrary spectral properties. The NTA distribution therefore plays the same role for shot-noise light that the negative-binomial distribution plays for chaotic light.
We investigate the photon statistics of light whose intensity fluctuations are due to shot noise, such as occurs in certain kinds of luminescence involving multiplied-Poisson processes. The degrees of freedom and degeneracy parameters are obtained and contrasted with those for thermal light. The excess count variance for shot-noise light exhibits particle-like fluctuations and is maximized for large counting times. Radioluminescence photons produced in glass obey the Neyman type-AAA counting distribution predicted by the theory.