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.
Inverse Problems and Imaging
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Inverse Problems and Imaging (IPI) is published by the American Institute of Mathematical Sciences.
McDowall, Stephen R.; Stefanov, Plamen; and Tamasan, Alexandru, "Gauge Equivalence in Stationary Radiative Transport through Media with Varying Index of Refraction" (2010). Mathematics. 30.
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