Uniqueness and factorization method for inverse elastic scattering with a single incoming wave*Dedicated to the memory of Armin Lechleiter. (20th August 2019)

• Record Type: Journal Article
• Authors: Elschner, Johannes; Hu, Guanghui
• Is Part Of: Inverse problems. Volume 35:Number 9(2019)
• Publication Date: 2019-08-20
• Subjects: uniqueness -- inverse elastic scattering -- rigid polygonal obstacle -- single plane wave -- reflection principle; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab20be
• Languages: English
• ISSNs: 0266-5611

Abstract

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 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.