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Applied Optics

Applied Optics


  • Vol. 37, Iss. 21 — Jul. 20, 1998
  • pp: 4750–4757

Physically based parameterizations of the short-wave radiative characteristics of weakly absorbing optically thick media: application to liquid-water clouds

Alexander A. Kokhanovsky, Teruyuki Nakajima, and Eleonora P. Zege  »View Author Affiliations

Applied Optics, Vol. 37, Issue 21, pp. 4750-4757 (1998)

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We propose the physically based parameterization of the radiative characteristics of liquid-water clouds as functions of the wavelength, effective radius, and refractive index of particles, liquid-water path, ground albedo, and solar and observation angles. The formulas obtained are based on the approximate analytical solutions of the radiative transfer equation for optically thick, weakly absorbing layers and the geometrical optics approximation for local optical characteristics of cloud media. The accuracy of the approximate formulas was studied with an exact radiative transfer code. The relative error of the approximate formula for the reflection function at nadir observations was less then 15% for an optical thickness larger than 10 and a single-scattering albedo larger than 0.95.

© 1998 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(260.2160) Physical optics : Energy transfer
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.1090) Scattering : Aerosol and cloud effects
(290.1310) Scattering : Atmospheric scattering
(290.4210) Scattering : Multiple scattering

Original Manuscript: October 17, 1997
Revised Manuscript: February 18, 1998
Published: July 20, 1998

Alexander A. Kokhanovsky, Teruyuki Nakajima, and Eleonora P. Zege, "Physically based parameterizations of the short-wave radiative characteristics of weakly absorbing optically thick media: application to liquid-water clouds," Appl. Opt. 37, 4750-4757 (1998)

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