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arXiv · 1308.5439

Hybrid Inverse Problems for a System of Maxwell's Equations

Guillaume Bal·Ting Zhou
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Abstract

This paper concerns the quantitative step of the medical imaging modality Thermo-acoustic Tomography (TAT). We model the radiation propagation by a system of Maxwell's equations. We show that the index of refraction of light and the absorption coefficient (conductivity) can be uniquely and stably reconstructed from a sufficiently large number of TAT measurements. Our method is based on verifying that the linearization of the inverse problem forms a redundant elliptic system of equations. We also observe that the reconstructions are qualitatively quite different from the setting where radiation is modeled by a scalar Helmholtz equation as in [10].

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Guillaume Bal, Ting Zhou. 2013-08-25. Hybrid Inverse Problems for a System of Maxwell's Equations. https://doi.org/10.1088/0266-5611%2F30%2F5%2F055013

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