Microwave Imaging by Elastic Deformation
Microwave Imaging by Elastic Deformation
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DOI：
10.1137/110828241
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
H. Ammari;Yves Capdeboscq;F. Gournay;A. Rozanova-Pierrat;Faouzi Triki
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文献类型：
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作者：
H. Ammari;Yves Capdeboscq;F. Gournay;A. Rozanova-Pierrat;Faouzi Triki
在本文中，我们表明，通过使用不同频率的微波测量和超声局部扰动来在介质中产生局部变化，可以扩展由Ammari等人在[SIAM J. Appl. Math.，68（2008），pp. 1557-1573]的形式$\nabla\cdot（a\nabla u）+k^{2}qu=0$ in $\Omega$，$u=\varphi$ on $\partial\Omega$的问题，并从内能$a可靠地重建实值函数a和q|纳卜拉乌|^2 $和$q| u| ^2 $。
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 $q|u|^2$.