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Evolution of the Statistical Properties of Photons Passed through a TravelingWave Laser Amplifier
 IEEE J. Quantum Electron
, 1992
"... We determine the evolution of the photon statistics of a light beam as it passes through a travelingwave laser amplifier, modeled as a birthdeathimmigration (BDI) medium. The relationship between the input and output probability distributions and probability generating functions with given (but p ..."
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We determine the evolution of the photon statistics of a light beam as it passes through a travelingwave laser amplifier, modeled as a birthdeathimmigration (BDI) medium. The relationship between the input and output probability distributions and probability generating functions with given (but possibly varying) birth, death, and immigration rates for arbitrary input statistics is obtained. The case of constant birth, death, and immigration rates is considered in particular detail. The photon statistics at the output of a general BDI travelingwave amplifier are always broader than those at the input, and they can take many forms. Our most general solution can be applied when the input distribution to the amplifier takes the form of a negativebinomial transform. The results are expected to be useful in calculating the performance characteristics of lightwave systems using optical amplifiers in which the object is to detect light with a broad range of statistical properties, including scattered light, spontaneousemission light, and light emitted from a laser. In the latter case the input is Poisson, and the output distribution assumes the form of a noncentralnegativebinomial (Laguerre) distribution which is usually associated with a multimode (phasepreserving) superposition of coherent and chaotic fields.
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 "Photoelectr ..."
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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