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Matrix operator theory of radiative transfer. I - Rayleigh scattering.An entirely rigorous method for the solution of the equations for radiative transfer based on the matrix operator theory is reviewed. The advantages of the present method are: (1) all orders of the reflection and transmission matrices are calculated at once; (2) layers of any thickness may be combined, so that a realistic model of the atmosphere can be developed from any arbitrary number of layers, each with different properties and thicknesses; (3) calculations can readily be made for large optical depths and with highly anisotropic phase functions; (4) results are obtained for any desired value of the surface albedo including the value unity and for a large number of polar and azimuthal angles; (5) all fundamental equations can be interpreted immediately in terms of the physical interactions appropriate to the problem; and (6) both upward and downward radiance can be calculated at interior points from relatively simple expressions.
Document ID
19730036238
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Plass, G. N.
Kattawar, G. W.
Catchings, F. E.
(Texas A & M University College Station, Tex., United States)
Date Acquired
August 7, 2013
Publication Date
February 1, 1973
Publication Information
Publication: Applied Optics
Volume: 12
Subject Category
Geophysics
Accession Number
73A21040
Funding Number(s)
CONTRACT_GRANT: NGR-44-001-117
Distribution Limits
Public
Copyright
Other

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