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
Required Publisher's Statement
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.