Photon transport problems involving a point source

A. Belleni-Morante, W. Lamb, A.C. McBride

Research output: Contribution to journalArticle

Abstract

We consider both a direct and an inverse problem of photon transport in an interstellar cloud with a point photon source. By using a non-rigorous (but physically reasonable) procedure, we prove that the direct problem has a unique solution and that the inverse problem also has a unique solution, under the assumptions that a single value of the photon far-field is known and the scattering cross-section is suitably small. Finally, we show in a rigorous way that the direct problem has a unique distributional solution if the point source is modelled by a Dirac δ functional.
Original languageEnglish
Pages (from-to)77-93
Number of pages16
JournalAnalysis and Applications
Volume5
Issue number1
DOIs
Publication statusPublished - 2007

Keywords

  • photon transport
  • direct and inverse problems
  • distributional solutions
  • physics
  • numerical mathematics

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