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Selected Works of Stephen R. McDowall
Article
Gauge Equivalence in Stationary Radiative Transport through Media with Varying Index of Refraction
Inverse Problems and Imaging
  • Stephen R. McDowall, Western Washington University
  • Plamen Stefanov, Purdue University
  • Alexandru Tamasan, University of Central Florida
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Document Type
Article
Publication Date
1-1-2010
Keywords
  • Inverse transport,
  • gauge equivalence
Disciplines
Abstract

Three dimensional anisotropic attenuating and scattering media sharing the same albedo operator have been shown to be related via a gauge transformation. Such transformations define an equivalence relation. We show that the gauge equivalence is also valid in media with non-constant index of refraction, modeled by a Riemannian metric. The two dimensional model is also investigated.

Subjects - Topical (LCSH)
Numerical analysis; Radiative transfer; Inverse scattering transform
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
Citation Information
Stephen R. McDowall, Plamen Stefanov and Alexandru Tamasan. "Gauge Equivalence in Stationary Radiative Transport through Media with Varying Index of Refraction" Inverse Problems and Imaging Vol. 4 Iss. 1 (2010) p. 151 - 167
Available at: http://works.bepress.com/stephen_mcdowall/7/