The Milne problem for a specularly reflecting boundary

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3 Scopus citations


The standard Milne problem, serving as an analytical benchmark for almost 50 years, is reconsidered in light of the numerical Laplace transform inversion. The application of the numerical inversion greatly reduces the effort in generating highly accurate numerical evaluations of solutions to particular transport problems. Le Caine's results for the integrated intensity are shown to Contain only 3 or 4 correct digits. The Milne problem has also been generalized to include a specularly reflecting boundary.

Original languageEnglish (US)
Pages (from-to)495-508
Number of pages14
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Issue number3
StatePublished - Sep 1995

ASJC Scopus subject areas

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


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