Abstract

We show that integral transform inversions for Fraunhofer-diffraction particle sizing possess an important feature that has useful implications. The selection of three angular parameters, Δθ (angular resolution), θ_min (minimum scattering angle), and θ_max (maximum scattering angle), necessary for reconstructing a given kind of particle size distribution without undergoing mathematical limits that contradict the Fraunhofer theory and exceed practical measurement limitations, depends inverse-linearly on the optical size parameter χ, χ = 2πa/λ (a, particle radius; λ, wavelength). Two series of numerical experiments, in which the Chin–Shifrin inversion is used, are performed to assess the reconstruction of original discontinuous (narrow-type) and continuous (board-type) particle size distributions from simulated Fraunhofer-diffracted patterns, assuming linear- and log-scaled light detector configurations, respectively. New and useful findings regarding the roles of these three key angular parameters in the Chin–Shifrin inversion process, including general criteria relating the χ and the selections of Δθ and θ_max for effective size retrieval, were obtained.

© 1997 Optical Society of America

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