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[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.
  • Classification : 78A46, 65J20, Inverse scattering, Maxwell’s equations, Electromagnetic imaging, Topological derivative, Localization, Resolution analysis, Stability analysis, Medium noise, Measurement noise.
  • Format : Talk at Waseda University
  • Author(s) :
    • Aibike Nagyz (Nazarbayev University)
    • Abdul Wahab (Nazarbayev University)