OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 19, Iss. 2 — Jan. 15, 1980
  • pp: 250–255

Fast azimuthally dependent model of the reflection of solar radiation by plane-parallel clouds

R. Davies  »View Author Affiliations

Applied Optics, Vol. 19, Issue 2, pp. 250-255 (1980)

View Full Text Article

Enhanced HTML    Acrobat PDF (607 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A fast analytical model of the transfer of solar radiation in plane-parallel clouds is developed by extending the Eddington approximation to handle an azimuthally dependent radiance field. When compared with the more precise doubling method, the results from this approximate model show a typical accuracy of better than 3% for fluxes and 10% for intensities over a wide range of input parameters. This accuracy may deteriorate somewhat for small cloud thicknesses, large solar zenith angles, viewing angles close to the horizon, or viewing angles close to the solar azimuthal direction. The computational speed of the analytical model is, however, a few hundred times faster than that of the more precise models, which makes it well suited for applications involving iteration over spectral intervals, time intervals, or cloud populations.

© 1980 Optical Society of America

Original Manuscript: June 25, 1979
Published: January 15, 1980

R. Davies, "Fast azimuthally dependent model of the reflection of solar radiation by plane-parallel clouds," Appl. Opt. 19, 250-255 (1980)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. P. Shettle, J. A. Weinman, J. Atmos. Sci. 27, 1048 (1970). [CrossRef]
  2. J. H. Joseph, W. J. Wiscombe, J. A. Weinman, J. Atmos. Sci. 33, 2452 (1976). [CrossRef]
  3. R. Davies, J. Atmos. Sci. 35, 1712 (1978). [CrossRef]
  4. J. E. Hansen, J. Atmos. Sci. 28, 120 (1971). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited