Numerical study of particle-size distributions retrieved from angular light-scattering data using an evolution strategy with the Fraunhofer approximation

Abstract

An algorithm is presented based on an evolution strategy to retrieve a particle size distribution from angular light-scattering data. The analyzed intensity patterns are generated using the Mie theory, and the algorithm retrieves a series of known normal, gamma, and lognormal distributions by using the Fraunhofer approximation. The distributions scan the interval of modal size parameters 100 < or = alpha < or = 150. The numerical results show that the evolution strategy can be successfully applied to solve this kind of inverse problem, obtaining a more accurate solution than, for example, the Chin-Shifrin inversion method, and avoiding the use of a priori information concerning the domain of the distribution, commonly necessary for reconstructing the particle size distribution when this analytical inversion method is used.

Formulation, Preparation, and Evaluation of Novel Orally Disintegrating Tablets Containing Taste-Masked Naproxen Sodium Granules and Naratriptan Hydrochloride

“…Particle sizes were subsequently calculated using the Fraunhofer approximation, and the results were verified by analyzing the fitting curves using the Mastersizer R 2000 software (Malvern). 45,46 Five tablets of formulation F1 and F2, respectively, were examined directly after freeze-drying and after 1 month of storage.…”

Generalized eikonal approximation for fast retrieval of particle size distribution in spectral extinction technique

“…Vargas-Ubera et al [8] compared the CPU time using Mie theory and Fraunhofer approximation in retrieving the PSD. Xu and Cai [9] investigated the geometrical optics approximation for the retrieval of PSD in laser particle sizing.…”