Photon transport problems involving a point source

Belleni-Morante, A. and Lamb, W. and McBride, A.C. (2007) Photon transport problems involving a point source. Analysis and Applications, 5 (1). pp. 77-93. ISSN 0219-5305 (http://dx.doi.org/10.1142/S0219530507000894)

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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.

ORCID iDs

Belleni-Morante, A., Lamb, W. ORCID logoORCID: https://orcid.org/0000-0001-8084-6054 and McBride, A.C.;
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