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Optica Acta International Journal of Optics

Determination of Decay Times from Photocount Statistics of Weak Modulated Luminescence Radiation

Čestmı́r Koňák, Petr Štěpánek, L. Dvořák, Z. Kupka, J. Křepelka, Jan Peřina

Published Aug 1, 1982• 2 citations
Publisher

Abstract

The experimental and theoretical photocount distribution of modulated weak luminescence radiation are compared, and the Mandel-Rice formula with modulation is shown to describe well the photon statistics of this radiation. It is shown, combining the square-wave and the exponential modulations, that one can deduce with good accuracy the decay time constants from the photocount distributions of weak modulated luminescence radiation.

DOI
10.1080/713820965

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The experimental and theoretical photocount distribution of modulated weak luminescence radiation are compared, and the Mandel-Rice formula with modulation is shown to describe well the photon statistics of this radiation. It is shown, combining the square-wave and the exponential modulations, that one can deduce with good accuracy the decay time constants from the photocount distributions of weak modulated luminescence radiation.
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Statistical properties such as the cumulants, and the central, factorial, and ordinary moments are obtained for photocounting distributions when the incident radiation is intensity-modulated with arbitrary statistics. The results are applied in some detail to the cases of triangular, sinusoidal, and square-wave modulation of multimode superposed coherent and chaotic radiation. The coefficient of variation, skewness, and kurtosis are obtained as a function of modulation depth. Comparison is made with experimental data in the cases of triangular and sinusoidal modulation of a laser source.
This paper is concerned with the determination of the quantum statistics of the photoelectric detection, and the E-field detection of multiple-mode superposed chaotic and coherent radiation. The Glauber P-representation is utilized extensively, and results are obtained by a fully quantum-mechanical treatment. The generating function, the mean, and the variance of the photocount statistics are derived for illumination times of arbitrary duration and for modes of arbitrary statistical interdependence. For short illumination times, the complete photocount distribution is obtained. The distribution has the same form as that for a single mode of superposed chaotic and coherent radiation. The multiple-mode distribution, however, is nonstationary. The difference between experimental determinations of the mean and variance which utilize periodic sampling and those which utilize random sampling is derived. A method for determining the P-representation for modulated fields is described, and the detection statistics are derived. The statistics of the E field are found to be Gaussian, and it is found that for multiple-mode classical statistics and quantum statistics differ.