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  • Title: General solution to the inverse near-forward-scattering particle-sizing problem in multiple-scattering environments: theory.
    Author: Hirleman ED.
    Journal: Appl Opt; 1991 Nov 20; 30(33):4832-8. PubMed ID: 20717286.
    Abstract:
    A general solution to the problem of measuring the size distribution of large particles in optically thick media by using small-angle light scattering is presented. The approach is general in the sense that no assumption of the form of the particle-size distribution function is required, although the particles must be distributed uniformly throughout the medium. The method is based on a successive order, discrete ordinates approach for modeling multiple-scattering phenomena and requires that the particle field be interrogated by using an array of near-forward input light angles. The scattering redistribution matrix is thereby determined, which permits a numerical inversion of the problem to obtain the single-scattering signature. Finally, conventional inverse scattering methods are used to reconstruct the particle-size distribution from the near-forward (single-scattering) light-scattering pattern.
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