Inverse elastic scattering from rigid scatterers with a single incoming wave
- Elschner, Johannes
- Hu, Guanghui
2010 Mathematics Subject Classification
- 35R30 65M30 74J25
- Uniqueness, inverse elastic scattering, rigid polygonal obstacle, single plane wave, reflection principle
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.