Determination of the probability density function of speckle intensity fluctuations from photocount experiments

摘要

Abstract: A numerical method of estimating the probability density function of light intensity fluctuations from photon counting data is described. The solution is found as an orthogonal series of the functions which are the eigen functions of left and right iterated kernels of Mandel transformation. An inverse operator in such representation has diagonal form and provides powerful regularization of inverse problem solution by simple restriction of eigen values taken into account. The efficiency of the proposed method is illustrated with results of restoration of light intensity probability functions for some typical models of speckle formation. !11