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

## 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 |
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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 and Statistics > Mathematics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 12 Nov 2007 |

Last modified: | 06 Dec 2013 18:55 |

URI: | http://strathprints.strath.ac.uk/id/eprint/4704 |

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