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Quantitative Thermoacoustic Tomography with microwaves sources

Abstract : We investigate a quantitative thermo-acoustic tomography process. We aim to recover the electric susceptibility and the conductivity of a medium when the sources are in the microwaves range. We focus on the case where the source signal has a slow time-varying enveloppe. We present the direct problem coupling equations for the electric field, the temperature variation and the pressure (to be measured via sensors). Then, we give a variational formulation of the inverse problem which takes into account the entire electromagnetic, thermal and acoustic coupled system, and perform the formal computation of the optimality system.
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https://hal.archives-ouvertes.fr/hal-01267412
Contributor : Maïtine Bergounioux Connect in order to contact the contributor
Submitted on : Friday, November 4, 2016 - 12:39:50 PM
Last modification on : Friday, November 26, 2021 - 2:14:06 PM
Long-term archiving on: : Sunday, February 5, 2017 - 1:40:13 PM

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Hassan Akhouayri, Maïtine Bergounioux, Anabela da Silva, Peter Elbau, Amélie Litman, et al.. Quantitative Thermoacoustic Tomography with microwaves sources. Journal of Inverse and Ill-posed Problems, De Gruyter, 2016, 25 (6), pp.703. ⟨10.1515/jiip-2016-0012⟩. ⟨hal-01267412v2⟩

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