Uniqueness in inverse elastic scattering with one incident wave

Abstract

In this paper, we give a positive answer to a longstanding open problem for determining the shape of an obstacle from the knowledge of the far field pattern for the scattering of time-harmonic elastic wave. We show that the elastic far field pattern by an incoming plane wave with a fixed frequency, a fixed incident direction and a fixed polarization determines the obstacle $D$ and the boundary condition on $\partial D$ uniquely. The boundary condition on $\partial D$ is either the Dirichlet, or the Neumann, or the Robin one.

There is a gap in the proof of this paper

References in corpus (2)

• Uniqueness of the scatterer for electromagnetic field with one incident plane wave
• Uniqueness of scatterer in inverse acoustic obstacle scattering with a single incident plane wave