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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 5 — May. 1, 2002
  • pp: 957–960

Simple approximate formula for the reflection function of a homogeneous, semi-infinite turbid medium

Alexander A. Kokhanovsky  »View Author Affiliations


JOSA A, Vol. 19, Issue 5, pp. 957-960 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000957


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Abstract

A simple, approximate analytical formula is proposed for the reflection function of a semi-infinite, homogeneous particulate layer. It is assumed that the zenith angle of the viewing direction is equal to zero (thus corresponding to the case of nadir observations), whereas the light incidence direction is arbitrary. The formula yields accurate results for incidence–zenith angles less than approximately 85° and can be useful in analyzing satellite nadir observations of optically thick clouds.

© 2002 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.7050) Scattering : Turbid media

History
Original Manuscript: August 24, 2001
Revised Manuscript: November 8, 2001
Manuscript Accepted: November 14, 2001
Published: May 1, 2002

Citation
Alexander A. Kokhanovsky, "Simple approximate formula for the reflection function of a homogeneous, semi-infinite turbid medium," J. Opt. Soc. Am. A 19, 957-960 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-5-957


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References

  1. V. V. Sobolev, Light Scattering in Planetary Atmospheres (Nauka, Moscow, 1972).
  2. H. C. Van de Hulst, Multiple Light Scattering: Tables, Formulas and Applications (Academic, New York, 1980).
  3. I. N. Minin, Radiative Transfer Theory in Planetary Atmospheres (Nauka, Moscow, 1988).
  4. E. P. Zege, A. P. Ivanov, I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, New York, 1991).
  5. A. Kokhanovsky, Light Scattering Media Optics: Problems and Solutions (Praxis, Chichester, UK, 2001).
  6. S. Chandrasekhar, Radiative Transfer (Oxford Press, Oxford, UK, 1950).
  7. M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, N. T. Zakharova, “Bidirectional reflectance of flat, optically thick particulate layers: an efficient radiative transfer solution and applications to snow and soil surfaces,” J. Quant. Spectrosc. Radiat. Transf. 63, 409–432 (1999). [CrossRef]
  8. M. D. King, “Determination of the scaled optical thickness of clouds from reflected solar radiation measurements,” J. Atmos. Sci. 44, 1734–1751 (1987). [CrossRef]

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