Particle-size distributions from Fraunhofer diffraction: the singular-value spectrum

The results of a previous paper (Opt. Acta vol.30, p.1043-9, 1983), in which resolution limits were calculated for particle-size distributions determined from Fraunhofer diffraction data, are extended to cover the case of finite sampled data by the use of singular-system techniques, both in weighted and unweighted L2 spaces. The new results show that knowledge of finite support of the distribution can more than compensate the loss of experimental knowledge of diffraction data due to sampling and truncation.

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