Abstract
In this paper, we consider the inverse problem of reconstructing the absorption and scattering coefficients of the radiative transfer equation (RTE) from measurements of photon current transmitted through a scattering medium in the frequency domain. We consider an output least-squares formulation of this problem and derive the appropriate forward operators and their Fréchet derivatives. For efficient implementation, we use the second-order form of the RTE and discuss its solution using a finite element method. The PN approximation is used to expand the radiance in spherical harmonics, which leads to a large sparse matrix system that can be efficiently solved. Examples are shown in the low-scattering case where the diffusion approximation fails.
Published Version
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