Inversion of particle size distribution from light-scattering data using a modified regularization algorithm

A modified regularization algorithm with a more proper operator was proposed for the inversion of particle size distribution (PSD) from light-scattering data in a laser particle sizer based on the Mie scattering principle. The Generalized Cross-Validation (GCV) method and the L-curve method were used for determining the regularization parameter. The Successive Over-Relaxation (SOR) iterative method was used to increase the exactness and stability of the converged result. The simulated results based on the modified algorithm are in a good agreement with the experimental data measured for nine standard particulate samples, their mixtures as well as three natural particulate materials with irregular shapes, indicating that this modified regularization method is not only feasible but also effective for the simulation of PSD from corresponding light-scattering data.