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The application of the principles of invariance to the radiative transfer equation in plant canopiesSolutions of the radiative transfer equation describing photon interactions with vegetation canopies are important in remote sensing since they provide the canopy reflectance distribution required in the interpretation of satellite acquired information. The general one-dimensional two-angle transport problem for a finite copy of arbitrary leaf angle distribution is considered. Analytical solutions are obtained in terms of generalized Chandrasekhar's X- and Y-functions by invoking the principles of invariance. A critical step in the formulation involves the decomposition of the integral of the scattering phase function into a product of known functions of the incident and scattered photon directions. Several simplified cases previously considered in the literature are derived from the generalized solution. Various symmetries obeyed by the scattering operator and reciprocity relations are formally proved.
Document ID
19920071775
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Ganapol, B. D.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Myneni, R. B.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 15, 2013
Publication Date
September 1, 1992
Publication Information
Publication: Journal of Quantitative Spectroscopy and Radiative Transfer
Volume: 48
Issue: 3 Se
ISSN: 0022-4073
Subject Category
Earth Resources And Remote Sensing
Accession Number
92A54399
Funding Number(s)
CONTRACT_GRANT: NAS5-30442
Distribution Limits
Public
Copyright
Other

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