Uniqueness and factorization method for inverse elastic scattering with a single incoming wave

Autor: Elschner, Johannes, Hu, Guanghui
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1361-6420/ab20be
Popis: 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.
Databáze: arXiv