A photocounting distribution formula for a laser channel

G. Ia. Umarov, As T Mirzaev, Kh. Kh. Khadzhimukhamedov

G. Ia. Umarov, As T Mirzaev, E. P. Bakhgat

F. T. Arecchi, Vittorio Degiorgio

F. T. Arecchi

Hong-Yi Fan, Sen‐Yue Lou, Liyun Hu

For a dissipative channel governed by the master equation of the density operator describing the photon loss, we find that the photocount distribution formula at time t can be related to the initial photocount distribution by replacing the efficiency of the detector ξ with ξe −2κt , as if the quantum efficiency ξ of the detector becomes ξe −2κt . This law greatly simplifies the theoretical study of the photocount distribution for quantum optical fields.

Malvin Carl Teich, Giovanni Vannucci

We report a series of optical experiments that verify the theoretical photocounting distributions obtained by Diament and Teich for triangularly and sinusoidally modulated laser radiation. Another series of experiments validates the (nonparalyzable) dead-time-modified versions of these formulas obtained by Cantor and Teich. A new expression is obtained for the counting distribution in the presence of modulation and paralyzable dead time. The results have application in photon counting, nuclear counting, and neural counting.