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.
© 1984 Optical Society of America
Original Manuscript: November 23, 1983
Published: December 15, 1984
James D. Klett, "Anomalous diffraction model for inversion of multispectral extinction data including absorption effects," Appl. Opt. 23, 4499-4508 (1984)