Clipped photon-counting covariance functions
Clipped photon-counting covariance functions
复制标题
削波光子计数协方差函数
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
R. Barakat
中科院分区：
文献类型：
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作者：
R. Barakat
在探测间隔2中发现m2个光子和在探测间隔1中发现m1个光子的联合概率先前由作者[J. Mod.Opt.34，91（1987）]根据时间积分强度相关函数的级数展开来确定，该函数的系数由离散变量m2和m1中的一类正交多项式给出。这个展开式现在被用来获得两个一般函数的平均值的表达式，其中m（m2）和u（m1）是m（m2）u（m1）m。这些功能是专门涵盖两个重要的情况：单，双剪切协方差基本上任意计数时间。在双限幅情况下，两个通道中允许不同的限幅电平，以便研究限幅失配的影响。数值计算，以图表的形式，用于说明典型的行为。
The joint probability of finding m2 photons in detection interval 2 and m1 photons in detection interval 1 was previously determined by the author [ J. Mod. Opt.34, 91 ( 1987)] in terms of a series expansion of the time-integrated intensity correlation function with coefficients given by a class of orthogonal polynomials in the discrete variables m2 and m1. This expansion is now used to obtain an expression for the average of two general functions υ(m2) and u(m1), 〈υ(m2)u(m1)〉. These functions are specialized to cover two important situations: singly and doubly clipped covariances for essentially arbitrary counting times. In the doubly clipped case, different clipping levels are permitted in the two channels in order to study the influence of clipping mismatch. Numerical calculations, in the form of graphs, are used to illustrate typical behavior.