WIAS Preprint No. 2571, (2019)

Inverse elastic scattering from rigid scatterers with a single incoming wave


Authors

  • Elschner, Johannes
  • Hu, Guanghui

2010 Mathematics Subject Classification

  • 35R30 65M30 74J25

Keywords

  • Uniqueness, inverse elastic scattering, rigid polygonal obstacle, single plane wave, reflection principle

DOI

10.20347/WIAS.PREPRINT.2571

Abstract

The first part of this paper is concerned with uniqueness to inverse time-harmonic elastic scattering from bounded rigid obstacles in two dimensions. It is proved that a connected polygonal obstacle can be uniquely identified by the far-field pattern corresponding to a single elastic plane wave. Our approach is based on a new reflection principle for the first boundary value problem of the Navier equation. In the second part, we propose a revisited factorization method to recover a rigid elastic body with a single far-field pattern.

Appeared in

  • Inverse Problems 35 (2019), 094002/1--094002/18, DOI 10.1088/1361-6420/ab20be under the new title ``Uniqueness and factorization method for inverse elastic scattering with a single incoming wave".

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