Fluctuations of Photon Beams and their Correlations

Fluctuations of Photon Beams and their Correlations
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DOI:
10.1088/0370-1328/72/6/312
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发表时间:
1958-12
期刊:
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影响因子:
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通讯作者:
L. Mandel
L. Mandel
中科院分区:
其他
文献类型:
--
作者:
L. Mandel

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通过将光子与高斯随机波联系起来,分析了在带宽为Δν0的光照射下光电探测器的计数分布。这表明,这导致了对计数的完整统计描述。结果表明,时间间隔T>1/Δν0中的数目Nt是玻色子组件在Δν0T晶胞相空间中的密度涨落.由部分相干光束照射的来自两个探测器的计数涨落的相关系数ρ被发现与相干函数γ122的平方的本地时间平均值成正比。结果表明,这种关联依赖于光束的简并程度,对于高度简并的光束,ρ→2γ122.这些结果都与Hanbury Brown和Twiss在1957年获得的结果一致。
The distribution of counts from a photoelectric detector illuminated by light of bandwidth Δν0 is analysed by associating the photons with Gaussian random waves. This is shown to lead to a full statistical description of the counts. It is shown that the number nT in a time interval T > 1/Δν0 are simply the density fluctuations of a boson assembly in a phase space of ~ Δν0T cells. The correlation coefficient ρ of the fluctuations of counts from two detectors illuminated by partially coherent beams is found to be proportional to the local time average of the square of the coherence function γ122. The correlation is shown to depend on the degeneracy of the beams in such a way that ρ → 2γ122 for highly degenerate beams. The results are all consistent with those obtained by Hanbury Brown and Twiss in 1957.