Statistical Characteristics of the Photocurrent in a Two-Element Intensity Interferometer

Generating functionals are used to derive a system of equations describing the relationship between the statistical characteristics of the photocurrent in a two-element intensity interferometer and the luminous flux for arbitrary temporal and spatial correlations. The bivariate distribution function for the occurrence of $n_1$, $n_2$ electrons in the interval $(0,T)$ in the case of slow temporal fluctuations coincides with the distribution function obtained in [A. A. Manuk'yan, Probl. Peredachi Inf., 1972, vol. 8, no. 2, pp. 33–39] by diagonalization of the corresponding density operator, while in the case of fast temporal fluctuations with a rectangular spectrum $\Delta f$ it is the distribution function for the sum of $l=\Delta fT$ bivariate independent stochastic variables, each of which is distributed according to the function for slow fluctuations.