Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optica Acta International Journal of Optics

Higher-order Photon Counting Statistics of Gaussian-lorentzian Light

Manmohan Singh

Published Nov 1, 1984• 9 citations
Publisher

Abstract

A method of arriving at the closed-form expression for an Nth-order generating function for gaussian-lorentzian light is described. Various aspects of the third-order photon counting statistics are derived explicitly for counting times of arbitrary duration.
DOI
10.1080/713821439

Related papers

Rigorous Analysis of the Time-interval Probabilities for Gaussian-Lorentzian Light

Manmohan Singh

The present analysis of time-interval probabilities is based on the formal definition given by Barakat and Blake. The closed form of the third-order generating function obtained earlier by Singh facilitates rigorous analysis of these time-interval probabilities for Gaussian-Lorentzian light with arbitrary field strength.

Optica Acta International Journal of Optics•Jul 1, 1986•4 citations

Statistics of photoelectric pulses for Gaussian-Lorentzian light

Hideyuki Sonoda, Atsushi Kikkawa, Norihito Suzuki

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.

Applied Optics•Apr 1, 1978•8 citations

Photon Counting Statistics of Gaussian Light

Gabriel Bédard

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.

Physical Review•Nov 25, 1966•97 citations

Factorial moment of the photon counting distribution of gaussian-lorentzian light under various spatial coherence

Hideaki Satō, Norihito Suzuki

Optics Communications•May 1, 1980•4 citations

Approximate joint photocount statistics for Gaussian light with arbitrary spectral shape

Bahaa E. A. Saleh

An approximate formula is found for the joint moment generating function of integrated intensity fluctuations of Gaussian light in two time intervals. Some lower−order joint moments generated by this approximate formula are compared to their exact values known in case of Lorentzian light and good accuracy is obtained.

Journal of Applied Physics•Feb 1, 1975•5 citations

Photon counting statistics of superposition of one-mode coherent light and chaotic light consisting of two Lorentzian spectral lines

Ladislav Mišta, Jan Peřina

Czechoslovak Journal of Physics•Apr 1, 1977•1 citation
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.