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Particle sizing by forward lobe scattered intensity-ratio technique: errors introduced by applying diffraction theory in the Mie regime

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Abstract

Hodkinson proposed that Fraunhofer diffraction theory could be used as an approximation to Mie theory in particle size measurement by a forward lobe scattering intensity ratio technique. This paper describes a technique for quantifying theoretical errors involved in this approximation. Theoretical errors are computed for monodisperse latex spheres in air and in water at angle pairs of 5°/2.5°, 10°/5°, and 20°/10°. Errors oscillate with particle size in a manner related to oscillations in particle extinction coefficient and are generally within ±40%. These are somewhat greater than suggested previously. Oscillations are stronger and errors generally larger in air than in water.

© 1978 Optical Society of America

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Particle Sizing by Means of the Forward Scattering Lobe

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