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.


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
Full Text: DOI