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Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave

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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… Click to show full 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: incoming wave; single incoming; scatterer rectangular; rectangular type; penetrable scatterer; wave

Journal Title: Inverse Problems
Year Published: 2019

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