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Analytical inversions in remote sensing of particle size distributions. IV - Comparison of Fymat and Box-McKellar solutions in the anomalous diffraction approximationIt is shown that the inverse analytical solutions, provided separately by Fymat and Box-McKellar, for reconstructing particle size distributions from remote spectral transmission measurements under the anomalous diffraction approximation can be derived using a cosine and a sine transform, respectively. Sufficient conditions of validity of the two formulas are established. Their comparison shows that the former solution is preferable to the latter in that it requires less a priori information (knowledge of the particle number density is not needed) and has wider applicability. For gamma-type distributions, and either a real or a complex refractive index, explicit expressions are provided for retrieving the distribution parameters; such expressions are, interestingly, proportional to the geometric area of the polydispersion.
Document ID
19800028796
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Fymat, A. L.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Smith, C. B.
(California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 10, 2013
Publication Date
November 1, 1979
Publication Information
Publication: Applied Optics
Volume: 18
Subject Category
Optics
Accession Number
80A12966
Funding Number(s)
CONTRACT_GRANT: NAS7-100
Distribution Limits
Public
Copyright
Other

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