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Optics Communications

Photoelectric pulse interval distribution of gaussian-lorentzian light

Atsushi Kikkawa, Kunihiko Ohkubo, Hideaki Satō, Norihito Suzuki

Published Nov 1, 1974• 19 citations
Publisher
DOI
10.1016/0030-4018(74)90001-7

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An experiment is described in which the interval distribution of photoelectric counts is examined, under conditions where light from a low pressure Hg198 gas discharge falls on a photomultiplier. The rate of two-photon counting is measured when the interval lies within the range tau-1 and tau-1 + 7.5 nsec, and it is shown that the two-photon counting rate exceeds the corresponding rate for random pulses when tau-1 approx. < 3 nsec. The measurements yield information on the spectral profile of the light, which is shown to be non-Lorentzian and to have a width somewhat greater than 200 Mc/sec. (Author)

Physical Review Letters•May 30, 1966•139 citations
The practical treatment of statistics for Gaussian-Lorentzian light is studied theoretically and experimentally by using the time interval distribution of photoelectric pulses, which is derived in two approaches that are based on Markovian processes and the generating function of photon counting statistics, taking the experimental conditions into account. The limits of the validity of the Markovian assumption are made clear. In arbitrary light intensity it is valid experimentally to employ the practical generating function of photon counting distribution expressed as the product of an ideal generating function and a Poissonian one.
It is well known that the photocount distribution associated with the photoelectric detection of fluctuating light beams carries information about the probability density of the light intensity. In this paper, we present an exact solution to a problem of particular interest which arises in connection with the photoelectric detection of narrow-band Gaussian (thermal or pseudothermal) light, namely, the problem of determining the photocount distribution when the counting-time interval is not necessarily short compared to the coherence time of the light. The method developed in this paper is applied to the case where the spectral profile of the light is Lorentzian; it leads to an exact expression for the photocount generating function and it provides simple recurrence relations for the photocount distribution and for its factorial moments.
An experiment is described in which the interval distribution of photoelectric counts is examined, under conditions where light from a low pressure Hg198 gas discharge falls on a photomultiplier. The rate of two-photon counting is measured when the interval lies within the range tau-1 and tau-1 + 7.5 nsec, and it is shown that the two-photon counting rate exceeds the corresponding rate for random pulses when tau-1 approx. < 3 nsec. The measurements yield information on the spectral profile of the light, which is shown to be non-Lorentzian and to have a width somewhat greater than 200 Mc/sec. (Author)