Reciprocity principle for radiative transfer models that use periodic boundary conditions

Research output: Contribution to journalArticle

Abstract

Many numerical models use periodic boundary conditions in solving the radiative transfer through heterogeneous media specified over a fixed domain. A reciprocity principle applicable to solutions from these models is derived for the common situation of a scattering and absorbing heterogeneous medium that is illuminated over the entire domain from a single direction. The derived reciprocity principle states that the domain-averaged bidirectional reflectance distribution function remains invariant when incoming and outgoing directions are interchanged, regardless of the heterogeneity of the medium and the size of the domain. This reciprocity principle provides a simple and useful benchmark test for radiative transfer models that use periodic boundary conditions.

Original languageEnglish (US)
Pages (from-to)23-27
Number of pages5
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume73
Issue number1
DOIs
StatePublished - Apr 1 2002

Keywords

  • Reciprocity
  • Three-dimensional radiative transfer

ASJC Scopus subject areas

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

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