PHOTON TRANSPORT PROBLEMS INVOLVING A POINT SOURCE-Reference-Cited by-同舟云学术

PHOTON TRANSPORT PROBLEMS INVOLVING A POINT SOURCE

Published:2007-01 Issue:01 Volume:05 Page:77-93
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BELLENI-MORANTE A.¹,LAMB W.²,McBRIDE A. C.²

Affiliation:

1. Dipartimento di Ingegneria Civile, Universita' di Firenze, Via S. Marta 3, 50139 Firenze, Italia

2. Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow, G1 1XH, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530507000894

Reference13 articles.

1. Abstract time-dependent transport equations

2. Identification of the boundary surface of an interstellar cloud from a measurement of the photon far-field

3. The Physics of the Interstellar Medium

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1. Fragmentation arising from a distributional initial condition;Mathematical Methods in the Applied Sciences;2010-01-27

2. A PHOTON TRANSPORT PROBLEM WITH A TIME-DEPENDENT POINT SOURCE;Analysis and Applications;2009-01

3. Identification of photon sources, stochastically embedded in an interstellar cloud;Kinetic & Related Models;2009