A modified processing method for light scattering measurements in particulate systems by means of splines and fuzzy logic

This work proposes a modified processing method based on an iterative process used in previous articles for solving the inverse problem of estimating the Particle Size Distribution (PSD) in particulate systems using Static Light Scattering measurements and a simplified model, the Local Monodisperse Approximation, which is acceptable under the Rayleigh-Gans regime. Aiming at the improvement of results obtained with the original method, a local projection into a cubic B-splines base is performed, under the assumption of smoothness on the shape of the sought PSD. The selection of an appropriate number of spline functions to be used is the keystone to achieve such improvement. In this article, the number of splines is computed through an optimization based on compensatory fuzzy logic rules. A numerical example is presented for comparing the results of applying both the original and the modified methods. Finally, these results, as well as possible variants in the methodology, its application and validation, are discussed.