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Licensed Unlicensed Requires Authentication Published by De Gruyter December 2, 2016

Quantitative thermoacoustic tomography with microwaves sources

Hassan Akhouayri , Maïtine Bergounioux EMAIL logo , Anabela Da Silva , Peter Elbau , Amelie Litman and Leonidas Mindrinos


We investigate a quantitative thermoacoustic 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 envelope. 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.

Award Identifier / Grant number: ANR-12-BLAN-BS01-0001-01

Funding source: OeAD-GmbH

Award Identifier / Grant number: WTZ FR14/2013

Funding statement: This work is supported by ANR (AVENTURES – ANR-12-BLAN-BS01-0001-01) and Partenariat Hubert Curien AMADEUS, OEAD WTZ FR14/2013.


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Received: 2016-2-5
Revised: 2016-10-10
Accepted: 2016-11-3
Published Online: 2016-12-2
Published in Print: 2017-12-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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