We compute the generating function for the photon-number distribution for single-mode fields described by a Gaussian Wigner distribution considered previously by Agarwal and Adam [Phys. Rev. A 38, 750 (1988)] and obtain simpler formulas for the photon-number distribution than those given by them. We also give analytical results for the factorial cumulants of the photon-number distribution and consider some limiting cases.

• Received 27 April 1989

DOI:https://doi.org/10.1103/PhysRevA.40.6095