The application of the principles of invariance to the radiative transfer equation in plant canopies

B. D. Ganapol, R. B. Myneni

Research output: Contribution to journalArticle

7 Scopus citations


Solutions 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.

Original languageEnglish (US)
Pages (from-to)321-339
Number of pages19
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Issue number3
StatePublished - Sep 1992


ASJC Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy

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