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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Submitted on : Tuesday, December 4, 2012 - 11:08:12 AM
Last modification on : Thursday, July 11, 2019 - 11:52:02 AM
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Habib Ammari, Yves Capdeboscq, Frédéric de Gournay, Faouzi Triki, Rozanova-Pierrat Anna. Microwave Imaging by Elastic Deformation. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2011, 71 (6), pp.2112-2130. ⟨10.1137/110828241⟩. ⟨hal-00655840⟩

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