An Inverse Radiative Transfer in Refractive Media Equipped with a Magnetic Field

Abstract

We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of the albedo operator in dimension \(n\ge 3\) on a Riemannian manifold in the presence of a magnetic field. We show that the direct boundary value problem is well posed under two types of subcritical conditions. We obtain uniqueness and non-uniqueness results of the reconstruction under some restrictions. Finally, stability estimates are also established.