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arXiv · 2004.04392

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

Guang-Hui Hu·Manmohan Vashisth·Jiaqing Yang
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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.

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Guang-Hui Hu, Manmohan Vashisth, Jiaqing Yang. 2020-04-09. Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern. https://doi.org/10.1137/20m1330798

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