Title
Gauge Equivalence in Stationary Radiative Transport through Media with Varying Index of Refraction
Document Type
Article
Publication Date
2010
Keywords
Inverse transport, gauge equivalence
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.
Publication Title
Inverse Problems and Imaging
Volume
4
Issue
1
First Page
151
Last Page
167
Required Publisher's Statement
Inverse Problems and Imaging (IPI) is published by the American Institute of Mathematical Sciences.
Recommended Citation
McDowall, Stephen R.; Stefanov, Plamen; and Tamasan, Alexandru, "Gauge Equivalence in Stationary Radiative Transport through Media with Varying Index of Refraction" (2010). Mathematics Faculty Publications. 30.
https://cedar.wwu.edu/math_facpubs/30
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
