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Journal Articles SIAM Journal on Applied Mathematics Year : 2011

Microwave Imaging by Elastic Deformation

Abstract

In this paper, we show that by using microwave measurements at different frequencies and ultrasound localized perturbations to create local changes in the medium it is possible to extend the method developed by Ammari et al. in [SIAM J. Appl. Math., 68 (2008), pp. 1557-1573] to problems of the form $\nabla\cdot(a\nabla u)+k^{2}qu=0$ in $\Omega$, $u=\varphi$ on $\partial\Omega$, and to reliably reconstruct both the real-valued functions $a$ and $q$ from the internal energies $a|\nabla u|^2$ and $q|u|^2$.
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Dates and versions

hal-00655840 , version 1 (04-12-2012)

Identifiers

Cite

Habib Ammari, Yves Capdeboscq, Frédéric de Gournay, Faouzi Triki, Anna Rozanova-Pierrat. Microwave Imaging by Elastic Deformation. SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2112-2130. ⟨10.1137/110828241⟩. ⟨hal-00655840⟩
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