Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave. (4th February 2019)

• Record Type: Journal Article
• Authors: Hu, Guanghui; Li, Long; Zou, Jun
• Is Part Of: Inverse problems. Volume 35:Number 3(2019)
• Publication Date: 2019-02-04
• Subjects: uniqueness -- inverse medium scattering -- Maxwell equations -- one incoming wave -- shape identification -- right corners; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aafe96
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: This work is concerned with an inverse electromagnetic scattering problem in two dimensions. We prove that in the TE polarization case, the knowledge of the electric far-field pattern incited by a single incoming wave is sufficient to uniquely determine the shape of a penetrable scatterer of rectangular type. As a by-product, the uniqueness is also confirmed to inverse transmission problems modelled by scalar Helmholtz equations with discontinuous normal derivatives at the scattering interface.