Inverse transport with isotropic sources and angularly averaged measurements (Q939201)

Inverse transport theory consists in reconstructing the constitutive parameters in the transport equation from various measurements. In this paper the problem of reconstructing the spatially-dependent scattering coefficient (independent of the direction of scattering) is considered. The total absorption coefficient is assumed to be already known. The authors prove that the diffusion-type measurements allow to reconstruct the low frequency part of the scattering coefficient. \(L^\infty\) error bounds are obtained under additional smallness assumptions on the absorption and scattering coefficients.