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arXiv · 1908.06508

Inverse source problems in transport via attenuated tensor tomography

Guillaume Bal·François Monard
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Abstract

We establish results for the injectivity and injectivity modulo gauge of certain inverse source problems in transport on a simply connected domain with variable index of refraction inducing a 'simple geometry'. The model given by radiative transfer involves a scattering kernel with finite harmonic content in the deviation angle. The results on injectivity are constructive, and they are connected to the explicit inversion (modulo kernel) of the attenuated X-ray transform on tensor fields on simple Riemannian surfaces.

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Guillaume Bal, François Monard. 2019-08-18. Inverse source problems in transport via attenuated tensor tomography. https://arxiv.org/abs/1908.06508

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