Particle size distributions from spectral turbidity: a singular-system analysis

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Abstract
The problem of the inversion of spectral turbidity measurements to obtain distributions of droplet size in polydisperse aerosols is considered by introducing a recently developed generalised theory of information based on singular-system analysis. In this work the authors limit themselves to the anomalous scattering approximation but give for this case an extensive treatment, with examples, of the reconstruction of the distribution as a continuous function in both weighted and unweighted L2 spaces from finite sampled data sets. The methods are entirely parallel to those already used successfully in the related problems of particle size distribution by photon correlation spectroscopy and by Fraunhofer diffraction.