Radiative transfer with internal reflection via the converged discrete ordinates method

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


In response to the challenge of establishing highly accurate solutions to the plane layer radiative transfer equation with the simplest of methods, the converged discrete ordinates method is presented. With this algorithm of only finite difference, quadrature and acceleration, we show how to obtain highly accurate intensities for radiative transfer in a finite layer with internal surface reflection. The method features angular smoothing and angular interpolation through "faux" quadrature. In addition, a manufactured solution demonstrates the high accuracy of the method for forward peaked scattering. We consider scattering in a heterogeneous medium as a final demonstration.

Original languageEnglish (US)
Pages (from-to)693-713
Number of pages21
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Issue number4
StatePublished - Mar 2011


  • Convergence acceleration
  • Discrete ordinates
  • Radiative transfer

ASJC Scopus subject areas

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


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