Computation of photoelectron counting distributions by numerical contour integration
Abstract
Cumulative distributions of the number of photoelectrons ejected during a fixed interval can be computed by numerical contour integration in the complex plane when the light incident upon the detector is a combination of coherent light and incoherent background light with arbitrary spectral density. The integrand involves the probabilitygenerating function of the distribution, and a method for computing it in terms of the solution of a certain integral equation is described. The method is related to those for the estimation of a stochastic process in the presence of white noise. An approximation valid for large values of the timebandwidth product is also described.
 Publication:

Journal of the Optical Society of America A
 Pub Date:
 May 1985
 DOI:
 10.1364/JOSAA.2.000674
 Bibcode:
 1985JOSAA...2..674H
 Keywords:

 Contours;
 Electron Counters;
 Numerical Integration;
 Photoelectrons;
 Probability Distribution Functions;
 Electron Distribution;
 Fourier Transformation;
 Quantum Counters;
 Saddle Points;
 Stochastic Processes;
 White Noise;
 Electronics and Electrical Engineering;
 PHOTON COUNTING