This Letter considers probability density functions (pdfs) involving products of the complex amplitudes observed at two points (which may, in general, involve separations in space, time, or frequency) in conditions of fully saturated scattering. First, the pdf is derived for the product of the complex amplitude at one point with the conjugate of the complex amplitude at another point. It is shown that the real and imaginary parts of this product each have a variance gamma pdf. Second, expressions are derived for several joint pdfs involving complex amplitude products and powers at two points.

中文翻译：

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在完全饱和散射状态下复振幅的两点积的分布

这封信考虑了概率密度函数（pdfs），该函数涉及在完全饱和散射的情况下在两个点处观察到的复振幅的乘积（通常可能涉及空间，时间或频率的分离）。首先，导出一个点的复振幅与另一点的复振幅共轭的乘积的pdf。结果表明，该乘积的实部和虚部均具有方差γpdf。其次，导出了几个联合pdf的表达式，这些pdf包含两个点的复杂幅度乘积和幂。