### 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 language | English |
---|---|

Pages (from-to) | 77-93 |

Number of pages | 16 |

Journal | Analysis and Applications |

Volume | 5 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2007 |

### Keywords

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

## Fingerprint Dive into the research topics of 'Photon transport problems involving a point source'. Together they form a unique fingerprint.

## Cite this

Belleni-Morante, A., Lamb, W., & McBride, A. C. (2007). Photon transport problems involving a point source.

*Analysis and Applications*,*5*(1), 77-93. https://doi.org/10.1142/S0219530507000894