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Effects of random deletion and additive noise on bunched and antibunched photon counting statistics
 Opt. Lett
, 1982
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Role of primary excitation statistics in the generation of antibunched and subPoisson light
 J. Opt. Soc. Am. B
, 1984
"... We examine the coherence properties of stationary light obtained by the superposition of nonstationary independent emissions occurring at random spacetime points. The positions of the points are independent and uniformly distributed over the volume of the source. The emission times fluctuate in acc ..."
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Cited by 4 (4 self)
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We examine the coherence properties of stationary light obtained by the superposition of nonstationary independent emissions occurring at random spacetime points. The positions of the points are independent and uniformly distributed over the volume of the source. The emission times fluctuate in accordance with a stationary renewal point process. This process admits of superPoisson, subPoisson, or Poisson behavior. The individual emissions are assumed to be in a coherent, chaotic, or n state. The statistical nature of the randomemission spacetime points plays an important role in determining the coherence properties and photon statistics of the total field. This is manifested in the normalized secondorder correlation function, which turns out to have the usual form for chaotic light with two additional terms. The first of these is determined by the statistical nature of the individual emissions (it is positive for coherent or chaotic, but zero for singlephoton, emissions). The second term is governed by the statistics of the primary excitations (it is positive for superPoisson, zero for Poisson, and negative for subPoisson excitations). Both additional terms become small for light with a high degeneracy parameter (many total photons per emission lifetime). The behavior of the light is then asymptotically chaotic. In the opposite limit, when the degeneracy parameter is small (or the emissions are instantaneous), the correlation properties of the primary excitations are directly transferred to the correlation properties of the photons. The firstorder spatialcoherence properties of the field turn out to be identical with those of chaotic light (i.e., the van CittertZernike
Statistical properties of a nonstationary Neyman–Scott cluster process
 IEEE TRANSACTIONS ON INFORMATION THEORY
, 1983
"... A recurrence relation is obtained for the counting distribution, as well as the probability density of waiting time, for a doubly stochastic Poisson point process driven by nonstationary shot noise (SNDP). For a stimulus of short duration, the counting distribution approximately reduces to the Neyma ..."
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A recurrence relation is obtained for the counting distribution, as well as the probability density of waiting time, for a doubly stochastic Poisson point process driven by nonstationary shot noise (SNDP). For a stimulus of short duration, the counting distribution approximately reduces to the Neyman TypeA. The SNDP is an important special NeymanScott cluster process.
Cascaded Stochastic Processes in Optics
 Traitement du Signal
, 1999
"... Thirty years ago, Bernard Picinbono and his colleagues carefully addressed an important problem: how an optical field is converted into a sequence of photoelectrons upon detection. Their choice of problem could not have been better, nor their timing more judicious. In a paper entitled "Photoe ..."
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Thirty years ago, Bernard Picinbono and his colleagues carefully addressed an important problem: how an optical field is converted into a sequence of photoelectrons upon detection. Their choice of problem could not have been better, nor their timing more judicious. In a paper entitled "Photoelectron Shot Noise", published in the Journal of Mathematical Physics in 1970, when quantum optics was in its infancy, they obtained results that were to serve as an important building block in analyzing and generating many di#erent forms of light. We present some variations on the theme of cascaded stochastic processes in optics. Processus stochastiques en cascade d'importance en optique ResumeIl y a trente ans, Bernard Picinbono et ses collegues ont traite rigoureusement un probleme important : comment un champ optique est converti en une suite de photoelectrons apres detection. Leur choix de ce probleme ne pouvait pas etre meilleur et a revele un caractere pionnier. Dans un article intitule "Photoelectron Shot Noise", publie dans le Journal of Mathematical Physics en 1970, alors que l'optique quantique n'etait encore qu'a ses debuts, ils obtinrent des resultats qui constituerent un important point de depart pour analyser et generer de nombreuses et diverses formes de lumieres. Nous presentons des variations sur le theme des processus stochastiques en cascade, en optique. 1
Gabbiani and Koch 0 CHAPTER 9 Principles of Spike Train Analysis
"... Experiments in sensory neurophysiology often record action potential arrival times of nerve cells resulting from spontaneous or stimulusevoked activity. When all action potentials are taken to be identical and only their localized times of occurrence are considered, one obtains a discrete series of ..."
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Experiments in sensory neurophysiology often record action potential arrival times of nerve cells resulting from spontaneous or stimulusevoked activity. When all action potentials are taken to be identical and only their localized times of occurrence are considered, one obtains a discrete series of time
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"... Cascaded stochastic processes in optics Processus stochastiques en cascade d'importance en optique abstract and key words Thirty years ago, Bernard Picinbono and his colleagues carefully addressed an important problem: how an optical field is converted into a sequence of photoelectrons upon det ..."
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Cascaded stochastic processes in optics Processus stochastiques en cascade d'importance en optique abstract and key words Thirty years ago, Bernard Picinbono and his colleagues carefully addressed an important problem: how an optical field is converted into a sequence of photoelectrons upon detection. Their choice of problem could not have been better, nor thei r timing more judicious. In a paper entitled &quot;Photoelectron Shot Noise&quot;, published in the Journal of Mathematical Physics in 1970, when quantum optics was in its infancy, they obtained results that were to serve as an important building block i n analyzing and generating many different forms of Tight. We present some variations on the theme of cascaded stochasti c processes in optics. Poisson process, shot noise, selfexciting process, doublystochastic process, compound Poisson process, doublyPoisson, triggered optical emissions, multiplyPoisson, cascadedPoisson, correlatedPoisson, nonclassical light, subPoisson light. résumé et mots clés Il y a trente ans, Bernard Picinbono et ses collègues ont traité rigoureusement un problème important: comment un champ optiqu e est converti en une suite de photoélectrons après détection. Leur choix de ce problème ne pouvait pas être meilleur et a révélé u n
1. Quantum fluctuations and minimum detectable energy
, 1981
"... noise in the human visual system at threshold: ..."