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arXiv · 1608.01090

Uniqueness in inverse elastic scattering with one incident wave

Genqian Liu
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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.

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Genqian Liu. 2016-08-03. Uniqueness in inverse elastic scattering with one incident wave. https://arxiv.org/abs/1608.01090

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