Abstract

We obtain a simple integral formula for the radius distribution function or polydispersion n(r) in terms of the multispectral extinction τ(k), where k is the wavenumber. This formula is valid when the extinction coefficient is given by the anomalous diffraction approximation and n(r) vanishes faster than r^∊ as r → 0 for some positive ∊.

© 1978 Optical Society of America

Analytical inversions in remote sensing of particle size distributions. 1: Multispectral extinctions in the anomalous diffraction approximation

Alain L. Fymat
Appl. Opt. 17(11) 1675_1-1676 (1978)

Anomalous diffraction model for inversion of multispectral extinction data including absorption effects

James D. Klett
Appl. Opt. 23(24) 4499-4508 (1984)

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
Appl. Opt. 39(24) 4214-4231 (2000)

Relationship between two analytic inversion formulae for multispectral extinction data

Michael A. Box and Bruce H. J. McKellar
Appl. Opt. 18(21) 3599-3601 (1979)

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

A. L. Fymat and C. B. Smith
Appl. Opt. 18(21) 3595-3598 (1979)