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

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  • 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.
    Mathematics Subject Classification: Primary: 35R30; Secondary: 78A46.


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