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Mathematical models and reconstruction methods in magneto-acoustic imaging

Published online by Cambridge University Press:  01 June 2009

HABIB AMMARI ,
YVES CAPDEBOSCQ ,
HYEONBAE KANG  and
ANASTASIA KOZHEMYAK
HABIB AMMARI
Affiliation:
Laboratoire Ondes et Acoustique, CNRS UMR 7587, ESPCI, 10 rue Vauquelin, 75231 Paris, France email: habib.ammari@polytechnique.fr
YVES CAPDEBOSCQ
Affiliation:
Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK email: capdeboscq@maths.ox.ac.uk
HYEONBAE KANG
Affiliation:
Department of Mathematics, Inha University, Incheon 402-751, Korea email: hbkang@inha.ac.kr
ANASTASIA KOZHEMYAK
Affiliation:
Centre de Mathématiques Appliquées, CNRS UMR 7641, Ecole Polytechnique, 91128 Palaiseau, France email: kozhemyak@polytechnique.fr
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Abstract

In this paper, we provide the mathematical basis for three different magneto-acoustic imaging approaches (vibration potential tomography, magneto-acoustic tomography with magnetic induction and magneto-acoustic current imaging) and propose new algorithms for solving the inverse problem for each of them.

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Type
Papers
Information
European Journal of Applied Mathematics , Volume 20 , Issue 3 , June 2009 , pp. 303 - 317
Copyright
Copyright © Cambridge University Press 2009

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