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It is proved that a convex polyhedral scatterer of impedance type can beuniquely determined by the electric far-field pattern of a non-vanishingincident field. The incoming wave is allowed to bean electromagnetic planewave, a vector Herglotz wave function or a point source wave incited by somemagnetic dipole. Our proof relies on the reflection principle for Maxwell'sequations with the impedance (or Leontovich) boundary condition enforcing on ahyper-plane. We prove that it is impossible to analytically extend the totalfield across any vertex of the scatterer. This leads to a data-driven inversionscheme for imaging an arbitrary convex polyhedron.

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