FLUCTUATIONS OF PHOTON BEAMS - THE DISTRIBUTION OF THE PHOTO-ELECTRONS

FLUCTUATIONS OF PHOTON BEAMS - THE DISTRIBUTION OF THE PHOTO-ELECTRONS
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DOI:
10.1088/0370-1328/74/3/301
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发表时间:
1959-01-01
影响因子:
--
通讯作者:
MANDEL, L
MANDEL, L
中科院分区:
其他
文献类型:
--
作者:
MANDEL, L

文献摘要

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通过将光子与高斯随机波随机关联,研究了相干光照射时间T的光电探测器的计数数n的概率分布p (n, T)。推导了分布的累积量,并证明它是有限体积相空间中玻色子集合的预期形式。这种分布很大程度上取决于光束的简并度。研究了低简并态下经典粒子的泊松形式和高简并态下经典波的分布特征。顺便说一句,这种分析得出了在光束方向上相空间的单元格的范围的表达式。本文认为,这应该作为相干长度的度量。
The probability distribution p (n, T) of the number of counts n from a photoelectric detector illuminated by coherent light for a time T is studied, by associating photons stochastically with Gaussian random waves. The cumulants of the distribution are derived and it is shown to be of the expected form for a boson assembly in a limited volume of phase space. The distribution depends strongly on the degeneracy of the light beam. It approaches the Poisson form for classical particles at low degeneracies and the distribution characteristic of classical waves at high degeneracies. The analysis leads, incidentally, to an expression for the extent of the unit cell of phase space in the direction of the beam. It is argued that this should be adopted as the measure of coherence length.