A simplified formulation of photon transport in leaf canopies with scatterers of finite dimensions

Ranga B. Myneni; Barry D. Ganapol

doi:10.1016/0022-4073(91)90017-K

A simplified formulation of photon transport in leaf canopies with scatterers of finite dimensions

Ranga B. Myneni, Barry D. Ganapol

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A formalism for photon transport in leaf canopies with finite-dimensional scattering centers that mutually cross-shade was recently proposed resulting in an equation set which is rather complicated. In this paper, we propose a simplification of the correction factors that describe the correlation in photon fates. These simplified correction factors permit the derivation of a modified integro-differential transfer equation with two additional terms that arise from considerations of finite size scatterers. A numerical procedure for the solution of this transfer equation in the framework of a successive collisions approach is also presented.

Original language	English (US)
Pages (from-to)	135-140
Number of pages	6
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	46
Issue number	3
DOIs	https://doi.org/10.1016/0022-4073(91)90017-K
State	Published - Sep 1991
Externally published	Yes

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

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10.1016/0022-4073(91)90017-K

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title = "A simplified formulation of photon transport in leaf canopies with scatterers of finite dimensions",

abstract = "A formalism for photon transport in leaf canopies with finite-dimensional scattering centers that mutually cross-shade was recently proposed resulting in an equation set which is rather complicated. In this paper, we propose a simplification of the correction factors that describe the correlation in photon fates. These simplified correction factors permit the derivation of a modified integro-differential transfer equation with two additional terms that arise from considerations of finite size scatterers. A numerical procedure for the solution of this transfer equation in the framework of a successive collisions approach is also presented.",

author = "Myneni, {Ranga B.} and Ganapol, {Barry D.}",

note = "Funding Information: Acknowledgements--RBMis funded by a grant from NASA throughc ontractN ASS-30432B. DG was a GSFC-ASEE SummerF aculty Fellow at the Hydrological SciencesB ranch during the course of this investigationW. e gratefully acknowledgeth e support,f inanciala nd otherwise.",

year = "1991",

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AU - Myneni, Ranga B.

AU - Ganapol, Barry D.

N1 - Funding Information: Acknowledgements--RBMis funded by a grant from NASA throughc ontractN ASS-30432B. DG was a GSFC-ASEE SummerF aculty Fellow at the Hydrological SciencesB ranch during the course of this investigationW. e gratefully acknowledgeth e support,f inanciala nd otherwise.

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N2 - A formalism for photon transport in leaf canopies with finite-dimensional scattering centers that mutually cross-shade was recently proposed resulting in an equation set which is rather complicated. In this paper, we propose a simplification of the correction factors that describe the correlation in photon fates. These simplified correction factors permit the derivation of a modified integro-differential transfer equation with two additional terms that arise from considerations of finite size scatterers. A numerical procedure for the solution of this transfer equation in the framework of a successive collisions approach is also presented.

AB - A formalism for photon transport in leaf canopies with finite-dimensional scattering centers that mutually cross-shade was recently proposed resulting in an equation set which is rather complicated. In this paper, we propose a simplification of the correction factors that describe the correlation in photon fates. These simplified correction factors permit the derivation of a modified integro-differential transfer equation with two additional terms that arise from considerations of finite size scatterers. A numerical procedure for the solution of this transfer equation in the framework of a successive collisions approach is also presented.

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A simplified formulation of photon transport in leaf canopies with scatterers of finite dimensions

Abstract

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