Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern

Abstract

It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector Herglotz wave function or a point source wave incited by some magnetic dipole. Our proof relies on the reflection principle for Maxwell's equations with the impedance (or Leontovich) boundary condition enforcing on a hyper-plane. We prove that it is impossible to analytically extend the total field across any vertex of the scatterer. This leads to a data-driven inversion scheme for imaging an arbitrary convex polyhedron.

arXiv commentUpdated the several sections of the paper

References in corpus (5)

• Reconstruction of a source domain from the Cauchy data
• On reconstruction in the inverse conductivity problem with one measurement
• Extended Sampling Method in Inverse Scattering
• Uniqueness and factorization method for inverse elastic scattering with a single incoming wave
• Unique determination of the shape of a scattering screen from a passive measurement