Gauge equivalence in stationary radiative transport through media with varying index of refraction | Zendy

Stephen McDowall | Zendy; Plamen Stefanov | Zendy; Alexandru Tamasan | Zendy

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Gauge equivalence in stationary radiative transport through media with varying index of refraction

Author(s) -

Stephen McDowall,

Plamen Stefanov,

Alexandru Tamasan

Publication year - 2010

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2010.4.151

Subject(s) - equivalence (formal languages) , radiative transfer , gauge (firearms) , refractive index , physics , equivalence relation , mathematical analysis , gauge theory , transformation (genetics) , anisotropy , metric (unit) , mathematics , pure mathematics , optics , mathematical physics , materials science , biochemistry , chemistry , operations management , economics , metallurgy , gene

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.

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