ACOUSTO-ELECTROMAGNETIC TOMOGRAPHY
The aim of this paper is to develop a mathematical framework for acousto-electromagnetic tomography and to introduce an efficient reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically pe...
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| Veröffentlicht in: | SIAM journal on applied mathematics 2012-01, Vol.72 (5), p.1592-1617 |
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| container_issue | 5 |
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| container_title | SIAM journal on applied mathematics |
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| creator | AMMARI, HABIB BOSSY, EMMANUEL GARNIER, JOSSELIN SEPPECHER, LAURENT |
| description | The aim of this paper is to develop a mathematical framework for acousto-electromagnetic tomography and to introduce an efficient reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically perturbing the medium, we show that it is possible to achieve a significant resolution enhancement. We provide a new inversion formula for the permittivity distribution from crosscorrelations between the electromagnetic boundary measurements in the perturbed medium and those in the unperturbed one. We present numerical results to illustrate the resolution and the stability performances of the proposed reconstruction algorithm. |
| doi_str_mv | 10.1137/120863654 |
| format | Article |
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We present numerical results to illustrate the resolution and the stability performances of the proposed reconstruction algorithm.</description><subject>Acoustics</subject><subject>Algorithms</subject><subject>Applied mathematics</subject><subject>Boundary conditions</subject><subject>Electromagnetism</subject><subject>Helmholtz equations</subject><subject>Imaging</subject><subject>Inverse problems</subject><subject>Mathematical functions</subject><subject>Mathematics</subject><subject>Microwaves</subject><subject>NMR</subject><subject>Nuclear magnetic resonance</subject><subject>Permittivity</subject><subject>Probability</subject><subject>Propagation</subject><subject>Radiation</subject><subject>Radon</subject><subject>Statistics</subject><subject>Statistics 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reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically perturbing the medium, we show that it is possible to achieve a significant resolution enhancement. We provide a new inversion formula for the permittivity distribution from crosscorrelations between the electromagnetic boundary measurements in the perturbed medium and those in the unperturbed one. We present numerical results to illustrate the resolution and the stability performances of the proposed reconstruction algorithm.</abstract><cop>Philadelphia</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/120863654</doi><tpages>26</tpages></addata></record> |
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| identifier | ISSN: 0036-1399 |
| ispartof | SIAM journal on applied mathematics, 2012-01, Vol.72 (5), p.1592-1617 |
| issn | 0036-1399 1095-712X |
| language | eng |
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| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; LOCUS - SIAM's Online Journal Archive |
| subjects | Acoustics Algorithms Applied mathematics Boundary conditions Electromagnetism Helmholtz equations Imaging Inverse problems Mathematical functions Mathematics Microwaves NMR Nuclear magnetic resonance Permittivity Probability Propagation Radiation Radon Statistics Statistics Theory Tomography Ultrasonography X-rays |
| title | ACOUSTO-ELECTROMAGNETIC TOMOGRAPHY |
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