Microwave Imaging by Elastic Deformation.
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 $...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Society for Industrial and Applied Mathematics
2011
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| _version_ | 1797082464712130560 |
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| author | Ammari, H Capdeboscq, Y Gournay, F Rozanova-Pierrat, A Triki, F |
| author_facet | Ammari, H Capdeboscq, Y Gournay, F Rozanova-Pierrat, A Triki, F |
| author_sort | Ammari, H |
| collection | OXFORD |
| description | 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 $q|u|^2$. |
| first_indexed | 2024-03-07T01:28:29Z |
| format | Journal article |
| id | oxford-uuid:92c5f496-46bd-4744-beb5-d3815750e2f2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:28:29Z |
| publishDate | 2011 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:92c5f496-46bd-4744-beb5-d3815750e2f22022-03-26T23:27:54ZMicrowave Imaging by Elastic Deformation.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:92c5f496-46bd-4744-beb5-d3815750e2f2EnglishSymplectic Elements at OxfordSociety for Industrial and Applied Mathematics2011Ammari, HCapdeboscq, YGournay, FRozanova-Pierrat, ATriki, FIn 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 $q|u|^2$. |
| spellingShingle | Ammari, H Capdeboscq, Y Gournay, F Rozanova-Pierrat, A Triki, F Microwave Imaging by Elastic Deformation. |
| title | Microwave Imaging by Elastic Deformation. |
| title_full | Microwave Imaging by Elastic Deformation. |
| title_fullStr | Microwave Imaging by Elastic Deformation. |
| title_full_unstemmed | Microwave Imaging by Elastic Deformation. |
| title_short | Microwave Imaging by Elastic Deformation. |
| title_sort | microwave imaging by elastic deformation |
| work_keys_str_mv | AT ammarih microwaveimagingbyelasticdeformation AT capdeboscqy microwaveimagingbyelasticdeformation AT gournayf microwaveimagingbyelasticdeformation AT rozanovapierrata microwaveimagingbyelasticdeformation AT trikif microwaveimagingbyelasticdeformation |