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Multi-frequency imaging of perfectly conducting cracks via boundary measurements

Won-Kwang Park 1 Dominique Lesselier 2
1 Department of Mathematics
2 DRE - Département de Recherche en Electromagnétisme ; EMG - Département Electromagnétisme - L2S
L2S - Laboratoire des signaux et systèmes : 1289, SUPELEC-Campus Gif
Abstract : Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at several frequencies, an imaging functional is introduced and analyzed. A non-iterative imaging procedure is proposed. Numerical experiments from noisy synthetic data show that acceptable images of single and multiple cracks are obtained.
Keywords : Non-iterative imaging Perfectly conducting cracks Multi-Static Response matrix numerical experiments
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https://hal-supelec.archives-ouvertes.fr/hal-00787080
Contributor : Dominique Lesselier <>
Submitted on : Monday, February 11, 2013 - 12:14:54 PM
Last modification on : Friday, December 20, 2019 - 11:48:07 AM

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Won-Kwang Park, Dominique Lesselier. Multi-frequency imaging of perfectly conducting cracks via boundary measurements. Journal of Physics: Conference Series, IOP Publishing, 2013, Journal of Physics: Conference Series, 410, pp.012018. ⟨10.1088/1742-6596/410/1/012018⟩. ⟨hal-00787080⟩

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