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International Conference Laser Optics (ICLO)

Recovery of excess laser noise photon-number distribution from photocounting statistics

P. P. Gostev, Sergey A Magnitskiy, A. S. Chirkin

Published Nov 2, 2020• 1 citation
Publisher

Abstract

We propose a method to determine photon-number statistics of excess noise in laser radiation from measured photocounting statistics. The method based on the multi-objective optimization approach is applied to blind deconvolution problem to determine excess noise distribution from the convolution of this one and Poisson photon-number distribution of laser radiation.

DOI
10.1109/iclo48556.2020.9285575

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We propose a method to determine photon-number statistics of excess noise in laser radiation from measured photocounting statistics. The method based on the multi-objective optimization approach is applied to blind deconvolution problem to determine excess noise distribution from the convolution of this one and Poisson photon-number distribution of laser radiation.
An analytical recursive method for solving the inverse problem of photocount statistics, that is, for reconstructing the photon-number distribution from the photocount distribution, is proposed for few-photon light. It is shown that if the inverse problem is represented as a system of linear equations, then for finite distributions one can obtain a recurrence formula relating the photocount distribution and the photon-number distribution without restrictions on the quantum efficiency of photodetection.
It is well known that photoelectric measurements yield information about the statistical behavior of fluctuating light beams. The probability of n photoelectrons being ejected, in a fixed time interval, from the photosensitive surface of the photoelectric detector, upon which the light beam is normally incident, is a linear (Poisson) transform of the probability density for the intensity of the beam. With the help of some plausible assumptions, the present analysis provides solutions to the problem of inverting the Poisson transform, thus determining the probability density for the intensity from experimentally obtained photocounting distributions. The effectiveness of the method is demonstrated by an actual inversion of a typical experimental counting distribution. The technique is of particular interest in connection with efforts to understand the statistical behavior of optical fields, especially of laser fields.
An original approach has been developed to extract information on the photon distribution function recorded by the photocount method in the presence of interference. Photon statistics reconstruction has been studied in the presence of two types of interference: dark counts and background radiation. The calculation has been performed using a characteristic function. Correctly reconstructing photon statistics and appropriate experimental conditions have been discussed. The obtained results can be used in measuring photon statistics of low-photon radiation sources and non-classical light fields.