Summary
By analysing scaling properties of counting distributions, conditions are found under which photon and photoelectron statistics are equivalent. These conditions are not satisfied by all laser models.
Riassunto
Si definisce una trasformazione di scala (scaling) per una distribuzione di fotoconteggi. In base a questa definizione si stabiliscono le condizioni d’equivalenza tra la statistica dei fotoni e quella dei fotoelettroni. Non tutti i modelli di laser soddisfano queste condizioni.
Резюме
Анализируя свойства скейлинга распределений счета, определяются условия, при которых статистики фотонов и фотоэлектронов являются эквивалентными. Оказывается, что все модели лазеров не удовлетворяют этим условиям.
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References
M. Scully:Quantum Optics, edited byR. J. Glauber (New York, N. Y., 1969), p. 586.
R. J. Glauber:Quantum Optics and Electronics, edited byC. DeWitt et al. (New York, N. Y., 1965), p. 63.
A. Perina:Quantum Optics, edited byS. M. Kay andA. Maitland (New York, N. Y., 1970), p. 515, has derived a similar expression for a many-mode case, asking for the probability to be in a state ‖{n λ}> with\(\sum\limits_\lambda {n_\lambda = n} \).
Perina (3):Quantum Optics, edited byS. M. Kay andA. Maitland (New York, the statistical properties of photons themselves. We feel that, as a general statement, this may not be valid.
I am indebted to Dr.E. Holzherr for this last equation.
R. J. Glauber:Physics of Quantum Electronics, edited byP. L. Kelley et al. (New York, N. Y., 1966), p. 793.
Starting with this equation,F. T. Arecchi andV. Degiorgio:Phys. Lett.,27 A, 429 (1968), have analysed a relation between photocount and photon distributions.
J. Schwinger:Journ. Math. Phys.,2, 407 (1961).
H. Risken:Prog. Opt.,8, 240 (1970).
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Ghielmetti, F. Some comments on the relation between photoelectron and photon statistics and on the scaling properties of laser light. Nuov Cim B 35, 243–248 (1976). https://doi.org/10.1007/BF02724061
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DOI: https://doi.org/10.1007/BF02724061