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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 2, Iss. 11 — Nov. 1, 1985
  • pp: 1965–1971

Numerical test of an inverse method for estimating single-scattering parameters from pulsed multiple-scattering experiments

K. K. Hunt and N. J. McCormick  »View Author Affiliations

JOSA A, Vol. 2, Issue 11, pp. 1965-1971 (1985)

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An approximate method [ J. Opt. Soc. Am. 72, 756 ( 1982)] for inferring the albedo of single scattering and Legendre moments of the angular scattering function from the asymptotic die-away of the backscattered radiance following a pulse on an optically thick slab target is numerically shown to be valid if the radiance is accurately known at a sufficient number of azimuthal angles for a fixed polar angle. The sensitivity of the estimated parameters to simulated random errors in the radiance is also examined, and it is inferred that the albedo of single scattering and the asymmetry factor, and perhaps a third parameter, might be obtainable by such a technique from measurements at only three azimuthal angles.

© 1985 Optical Society of America

Original Manuscript: June 10, 1985
Manuscript Accepted: July 23, 1985
Published: November 1, 1985

K. K. Hunt and N. J. McCormick, "Numerical test of an inverse method for estimating single-scattering parameters from pulsed multiple-scattering experiments," J. Opt. Soc. Am. A 2, 1965-1971 (1985)

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  1. N. J. McCormick, “Remote characterization of a thick slab target with a pulsed laser,” J. Opt. Soc. Am. 72, 756–759 (1982). [CrossRef]
  2. N. J. McCormick, “Inverse methods for remote determination of properties of optically thick atmospheres,” Appl. Opt. 22, 2556–2558 (1983). [CrossRef] [PubMed]
  3. K. M. Case, P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967).
  4. H. C. van de Hulst, Multiple Light Scattering Tables, Formulas, and Applications (Academic, New York, 1980).
  5. B. D. Ganapol, W. L. Filippone, “Time-dependent emergent radiance from an anisotropically-scattering semi-infinite atmosphere.” J. Quant. Spectrosc. Radiat. Transfer 27, 15–21 (1982). [CrossRef]
  6. The generalization of Ref. 5 to the azimuthally dependent problem is clearly inferred by noting the similarity between Eq. (12c) of Ref. 5 and Eq. (112) of Ref. 7.
  7. S. Chandrasekhar, “On the radiative equilibrium of a stellar atmosphere XVII,” Astrophys. J. 105, 441–460 (1947). [CrossRef]
  8. S. Pahor, M. Gros, “Optical properties of thick fog layers,” Tellus 22, 321 (1970). [CrossRef]

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