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

    Authors

    S. McDowall; P. Stefanov;A. Tamasan

    Comments

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    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

    Language

    English

    First Page

    151

    Last Page

    167

    WOS Identifier

    WOS:000276414600009

    ISSN

    1930-8337

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