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
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1142/S0219530507000894
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.
| Item type: | Article |
|---|---|
| ID code: | 4704 |
| Keywords: | photon transport, direct and inverse problems, distributional solutions, physics, numerical mathematics, Mathematics, Physics |
| Subjects: | Science > Mathematics Science > Physics |
| Department: | Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 12 Nov 2007 |
| Last modified: | 04 Oct 2012 12:19 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/4704 |
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