[02580] Topological-sensitivity framework for detecting perfectly-conducting buried objects in layered media
Session Time & Room : 1E (Aug.21, 17:40-19:20) @D405
Type : Contributed Talk
Abstract : Identification of the location of a scattering object from its recorded scattering signature is one of the inverse problems that finds many applications in non-destructive testing. A typical application is a detection and removal of buried land mines. The underlying problem is linked to the discovery of buried objects in a two-layered medium. We present a topological derivatives-based algorithm for detecting a perfectly conducting object in the lower layer of a two-layer unbounded 3D background medium using electromagnetic plane waves. Since the underlying problem is highly ill-posed, most of the existing methods that are qualitative turn out to be quite sensitive to unavoidable medium and measurement noises. Our focus is on designing a direct algorithm based on the topological derivative of an L2-discrepancy function. We perform a rigorous analysis of the proposed algorithm and debate its localization and stability features regarding random medium and measurement noises.
