Discussion concerning ill-conditioned kernel matrices when retrieving particle size distributions based on scattered radiation distribution

Abstract

This paper presents two conclusions concerning the scattered light distribution method for particle sizing: (1) a large difference in vector values is one of the primary causes of an ill-conditioned kernel matrix, and (2) under narrow band and high resolution particle size conditions, the forward scattering region would introduce a larger error into the particle size distribution. Numerical simulations verify these results.