Analytical inversions in remote sensing of particle size distributions. 3: Angular and spectral scattering in the Rayleigh-Gans-Born approximation for particles of various geometrical shapes.

Analytical inverse formulas are provided for reconstructing the size distribution of particulates whose scattering patterns can be adequately described by the Rayleigh-Gans-Born (or Shifrin) approximation. The formulas hold for arbitrary polarization states at incidence and scattering of light and for angular or spectral measurements. The particle shapes considered are spheres, spherical shells, thin disks (which may be randomly oriented), and thin rods. Circular cylinders and ellipsoids can also be encompassed by our formulas if these particles are described in terms of equivalent spheres having the same volume.