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MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix. (English) Zbl 1180.35571

Summary: The imaging of a thin inclusion, with dielectric and/or magnetic contrasts with respect to the embedding homogeneous medium, is investigated. A MUSIC-type algorithm operating at a single time-harmonic frequency is developed in order to map the inclusion (that is, to retrieve its supporting curve) from scattered field data collected within the multi-static response matrix. Numerical experiments carried out for several types of inclusions (dielectric and/or magnetic ones, straight or curved ones), mostly single inclusions and also two of them close by as a straightforward extension, illustrate the pros and cons of the proposed imaging method.

MSC:

35R30 Inverse problems for PDEs
78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
78A48 Composite media; random media in optics and electromagnetic theory
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
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