Microwave Imaging by Elastic Deformation.

Journal article

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 $q|u|^2$.

Authors: Ammari, H; Capdeboscq, Y; Gournay, F; Rozanova-Pierrat, A; Triki, F

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Society for Industrial and Applied Mathematics
• Journal: SIAM Journal of Applied Mathematics
• Volume: 71
• Issue: 6
• Pages: 2112-2130
• Publication date: 2011-01-01
• DOI: 10.1137/110828241
• EISSN: 1095-712X
• ISSN: 0036-1399
• Language: English
• Keywords: expansion methods; resolution enhancement; elastic perturbation; hybrid imaging; microwave imaging; explicit inversion formula; optimal control