A nonlinear regularization method for the analysis of photon correlation spectroscopy data

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Abstract
In photon correlation spectroscopy, a time correlation function of the scattered light intensity is measured. Among other parameters, the relaxation time spectrum can be calculated from such measurement. This is usually done in two steps. First, the scattered field time correlation function is determined. In the second step, the relaxation time spectrum is calculated by solving a linear integral equation with Tikhonov regularization. With an adequate error model and a nonlinear regularization method, the analysis of photon correlation spectroscopy data can be improved considerably. We give a description of the improved method and illustrate its advantages