Title

Gauge Equivalence In Stationary Radiative Transport Through Media With Varying Index Of Refraction

Keywords

Gauge equivalence; Inverse transport

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. © 2010 American Institute of Mathematical Sciences.

Publication Date

2-1-2010

Publication Title

Inverse Problems and Imaging

Volume

4

Issue

1

Number of Pages

151-167

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.3934/ipi.2010.4.151

Socpus ID

77349108827 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77349108827

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