Two-fold generating function for Gaussian light with a two-peaked spectrum

S. K. Srinivasan, S Sukavanam

Cyrus D. Cantrell

An exact expression is obtained for the generating function of the N-fold (i.e., N-detector) photoelectron counting distribution for cross-spectrally pure Gaussian light, in terms of the onefold generating function. It is assumed that the counting times at the different detectors are all equal, but not necessarily short compared to the coherence time of the light. In cases where the onefold generating function can be calculated, a closed formula for the N-fold generating function can be obtained.

Julian Blake, Richard G. Barakat

T McLean

S. K. Srinivasan, S Sukavanam

Reeta Vyas, A. L. DeBrito

We discuss two- and three-fold photon statistics for the squeezed light generated by subthreshold degenerate (DPO) and nondegenerate (NDPO) parametric oscillators. In higher-order statistics details of coherence properties are more strongly reflected than in the single-fold statistics. Many experiments use two-fold statistics to extract spectral information about the incident beam. We use phase-space representation to express the operator field variables in terms of independent Gaussian random processes.1 Using the Gaussian property of these field variables and making a Karhunen-Loeve expansion in terms of orthogonal functions, analytical expressions for the two- and three-fold generating functions for the DPO and the NDPO are obtained. From this generating function various statistical quantities such as factorial moments and joint photon counting probability distributions are calculated.