An analytical solution to the problem of inverting multispectral extinction measurements including absorption effects is constructed, via Laplace transform theory, under the assumption that the particulate extinction efficiency is given by the anomalous diffraction model of van de Hulst. A solution representation in terms of a finite series of generalized Laquerre polynomials is carried out to provide a framework for coping with the problem of limited extinction information. The solution is stabilized by means of the technique of constrained linear inversion.
James D. Klett, "Anomalous diffraction model for inversion of multispectral extinction data including absorption effects," Appl. Opt. 23, 4499-4508 (1984)