Calculation of the Angular Radiance Distribution for a Coupled Atmosphere and Canopy

dc.contributor.authorLiang, Shunlin
dc.contributor.authorStrahler, Alan H.
dc.date.accessioned2007-03-05T18:28:40Z
dc.date.available2007-03-05T18:28:40Z
dc.date.issued1993-03
dc.description.abstractThe radiative transfer equations for a coupled atmosphere and canopy are solved numerically by an improved Gause-Seidel iteration algorithm. The radiation field is decomposed into three components: unscattered sunlight, single scattering, and multiple scattering radiance for which the corresponding equations and boundary conditions are set up and their analytical or iterational solutions are explicitly derived. The classic Guass-Seidel algorithm has been widely applied in atomospheric research. This is its first application for calculating the multiple scattering radiance of a coupled atmosphere and canopy. This algorithm enables us to obtain the internal radiation field as well as radiances at boundaries. Any form of bidirectional reflectance distribution function (BRDF) as a boundary condition can be easily incorporated into the iteration procedure. The hotspot effect of the canopy is accommodated by means of the modification of the extiniction coefficients of upward single scattering radiation and unscatteered sunlight using the formulation of Nilson and Kuusk. To reduce the computation for the case of large optical thickness, an improved iteration formula is derived to speed convergence. The upwelling radiances have been evaluated for different atmospheric conditions, leaf area index (LAI), leaf angle distribution (LAD), leaf size and so on. The formulation presented in this paper is also well suited to analyze the relative magnitude of multiple scattering radiance and single scattering radiance in both the visible and near infrared regions.en
dc.format.extent959947 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationLiang S., and A. H. Strahler, (1993), The Calculation of the Radiance Distribution of the Coupled Atmosphere-Canopy, IEEE Transactions on Geosciences and Remote Sensing, 31: 491-502.en
dc.identifier.urihttp://hdl.handle.net/1903/4329
dc.language.isoen_USen
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.relation.isAvailableAtCollege of Behavioral & Social Sciencesen_us
dc.relation.isAvailableAtGeographyen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_us
dc.rights.licenseCopyright Institute of Electrical and Electronics Engineers.en_us
dc.subjectradiative transferen
dc.subjectbidirectional reflectance distributionfunctionen
dc.subjectbrdfen
dc.subjectleaf canopyen
dc.subjectatmosphereen
dc.subjectradianceen
dc.titleCalculation of the Angular Radiance Distribution for a Coupled Atmosphere and Canopyen
dc.typeArticleen

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