Analysis of the probability distribution of photocount number of the onemode stochastic radiation

TL;DR

This paper analyzes the Mandel probability distribution for photocounts in one-mode stochastic radiation, providing accurate approximations for n-photon registration probabilities under short registration times.

Contribution

It introduces new approximations for photocount probabilities with guaranteed accuracy in the context of one-mode stochastic radiation.

Findings

Derived accurate approximations for n-photon registration probabilities.

Analyzed the behavior of the Mandel distribution in the short-time registration regime.

Provided theoretical insights into photocount statistics for stochastic radiation.

Abstract

The Mandel probability distribution of one-mode stochastic radiation photocounts is analized. Approximations of n-photon registration probabilities with guaranteed accuracy are obtained in the case when the registration time is sufficiently small.