Title

GAUGE EQUIVALENCE IN STATIONARY RADIATIVE TRANSPORT THROUGH MEDIA WITH VARYING INDEX OF REFRACTION

Authors

Authors

S. McDowall; P. Stefanov;A. Tamasan

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Inverse Probl. Imaging

Keywords

Inverse transport; gauge equivalence; ANGULARLY AVERAGED MEASUREMENTS; BOUNDARY-VALUE PROBLEM; OPTICAL; TOMOGRAPHY; INVERSE; EQUATION; Mathematics, Applied; Physics, Mathematical

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.

Journal Title

Inverse Problems and Imaging

Volume

4

Issue/Number

1

Publication Date

1-1-2010

Document Type

Article

DOI Link

http://dx.doi.org/10.3934/ipi.2010.4.151

Language

English

First Page

151

Last Page

167

WOS Identifier

WOS:000276414600009

ISSN

1930-8337

Recommended Citation

"GAUGE EQUIVALENCE IN STATIONARY RADIATIVE TRANSPORT THROUGH MEDIA WITH VARYING INDEX OF REFRACTION" (2010). Faculty Bibliography 2010s. 528.
https://stars.library.ucf.edu/facultybib2010/528