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Interior radiances in optically deep absorbing media. 3: Scattering from Haze LThe interior radiances are calculated within an optically deep absorbing medium scattering according to the Haze L phase function. The dependence on the solar zenith angle, the single scattering albedo, and the optical depth within the medium is calculated by the matrix operator method. The development of the asymptotic angular distribution of the radiance in the diffusion region is illustrated through a number of examples; it depends only on the single scattering albedo and on the phase function for single scattering. The exact values of the radiance in the diffusion region are compared with values calculated from the approximate equations proposed by Van de Hulst. The variation of the radiance near the lower boundary of an optically thick medium is illustrated with examples. The attenuation length is calculated for various single scattering albedos and compared with the corresponding values for Rayleigh scattering. The ratio of the upward to the downward flux is found to be remarkably constant within the medium. The heating rate is calculated and found to have a maximum value at an optical depth of two within a Haze L layer when the sun is at the zenith.
Document ID
19740019078
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Kattawar, G. W. (Texas A&M Univ. College Station, TX, United States)
Plass, G. N. (Texas A&M Univ. College Station, TX, United States)
Date Acquired
September 3, 2013
Publication Date
June 13, 1974
Subject Category
Physics, General
Report/Patent Number
NASA-CR-138521
REPT-9
Accession Number
74N27191
Funding Number(s)
CONTRACT_GRANT: NGR-44-001-117
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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