On photon correlation measurements of colloidal size distributions using Bayesian strategies

In this paper the evaluation of particle size distribution using photon correlation spectroscopy according to the method of regularization of first kind integral equation including Laplace transform by means of Bayesian strategy is presented. We shall convert the Laplace transform to first kind integral equation of convolution type, which is an ill-posed problem. Then we use the Bayesian regularization method to solve it. This type of problem plays an important role in the field of photon correlation spectroscopy, fluorescent decay, sedimentation equilibrium, system theory and in other areas of physics and applied mathematics. The method is applied to test problems taken from the literature and it gives a good approximation to the true solution.