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Uniqueness in Inverse Obstacle Scattering

In: New Analytic and Geometric Methods in Inverse Problems

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  • Rainer Kress

    (Universität Göttingen, Institut für Numerische und Angewandte Mathematik)

Abstract

The inverse problem we consider in this survey is to reconstruct the shape of an obstacle from the knowledge of the far field pattern for the scattering of time-harmonic acoustic or electromagnetic waves. We will review and outline different methods for proving global and local uniqueness theorems for impenetrable and penetrable obstacles. In addition, we will draw attention to open uniqueness problems in inverse obstacle scattering.

Suggested Citation

  • Rainer Kress, 2004. "Uniqueness in Inverse Obstacle Scattering," Springer Books, in: Kenrick Bingham & Yaroslav V. Kurylev & Erkki Somersalo (ed.), New Analytic and Geometric Methods in Inverse Problems, pages 323-336, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-08966-8_11
    DOI: 10.1007/978-3-662-08966-8_11
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