### Abstract

Language | English |
---|---|

Pages | 77-93 |

Number of pages | 16 |

Journal | Analysis and Applications |

Volume | 5 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2007 |

### Fingerprint

### Keywords

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

### Cite this

*Analysis and Applications*,

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

}

*Analysis and Applications*, vol. 5, no. 1, pp. 77-93. https://doi.org/10.1142/S0219530507000894

**Photon transport problems involving a point source.** / Belleni-Morante, A.; Lamb, W.; McBride, A.C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Photon transport problems involving a point source

AU - Belleni-Morante, A.

AU - Lamb, W.

AU - McBride, A.C.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - photon transport

KW - direct and inverse problems

KW - distributional solutions

KW - physics

KW - numerical mathematics

UR - http://dx.doi.org/10.1142/S0219530507000894

U2 - 10.1142/S0219530507000894

DO - 10.1142/S0219530507000894

M3 - Article

VL - 5

SP - 77

EP - 93

JO - Analysis and Applications

T2 - Analysis and Applications

JF - Analysis and Applications

SN - 0219-5305

IS - 1

ER -