Uniqueness and factorization method for inverse elastic scattering with a single incoming wave
Analysis of PDEs
2019-09-04 v1
Abstract
The first part of this paper is concerned with the 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 over all observation directions corresponding to a single incident 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.
Cite
@article{arxiv.1904.05093,
title = {Uniqueness and factorization method for inverse elastic scattering with a single incoming wave},
author = {Johannes Elschner and Guanghui Hu},
journal= {arXiv preprint arXiv:1904.05093},
year = {2019}
}