ACOUSTO-ELECTROMAGNETIC TOMOGRAPHY

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
Hauptverfasser: AMMARI, HABIB, BOSSY, EMMANUEL, GARNIER, JOSSELIN, SEPPECHER, LAURENT
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0036-1399
1095-712X
DOI:10.1137/120863654