Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave
Analysis of PDEs
2019-02-20 v1
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. Keywords: Uniqueness, inverse medium scattering, Maxwell equations, one incoming wave, shape identification, right corners
Keywords
Cite
@article{arxiv.1809.01786,
title = {Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave},
author = {Guanghui Hu and Long Li and Jun Zou},
journal= {arXiv preprint arXiv:1809.01786},
year = {2019}
}
Comments
2 figures