ANALYSIS OF LIGHT FLUCTUATIONS FROM PHOTON-COUNTING STATISTICS

Reconstrution of light intensity fluctuations from photon-counting dat a is a typical ill-posed inverse problem for non-Hermitian transformin g operator. Such problems cannot be solved with the help of eigenfunct ion representation which diagonalizes the operator and simplifies the regularization of a quasi-solution. We describe an analytical method t o solve this inverse problem using the Poisson transform operator repr esentation in a mixed basis which diagonalizes the Poisson transform. On the base of the proposed method we performed numerical experiments with typical intensity distributions. We showed that the reconstructio n procedure is stable and may be used even when the level of statistic al errors is relatively high. In conclusion we describe the results of the inversion procedure in application to the processing of experimen tal data on photon counts statistics.