Abstract

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

Determination of the aerosol size distribution by analytic inversion of the extinction spectrum in the complex anomalous diffraction approximation

Ghislain Franssens, Martine De Mazière, and Dominique Fonteyn
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Analytic inversion of multispectral extinction data in the anomalous diffraction approximation

Michael A. Box and Bruce H. J. McKellar
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Analytical inversions in remote sensing of particle size distributions. 4:Comparison of Fymat and Box-McKellar solutions in the anomalous diffraction approximation

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Inversion of the anomalous diffraction approximation for variable complex index of refraction near unity

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