N-Fold Photoelectric Counting Statistics of Gaussian Light

This paper deals with the theory of the statistics of photoelectric counting experiments which involve N separate counting intervals. The main new results reported here are: (i) a simple formula for the N-fold cumulants of the intensity of Gaussian light; (ii) a detailed study of the relations between the N-fold cumulants of the integrated intensity and the cumulants of the N-fold photoelectric counts, for light of arbitrary coherence properties. These results are derived and discussed in the context of recent work by other authors.