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arXiv · 1908.09603

On Recovery of a Bounded Elastic Body by Electromagnetic Far-Field Measurements

Tielei Zhu·Jiaqing Yang·Bo Zhang
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Abstract

This paper is concerned with the problem of scattering of a time-harmonic electromagnetic field by a three-dimensional elastic body. General transmission conditions are considered to model the interaction between the electromagnetic field and the elastic body on the interface by assuming Voigt's model. The existence of a unique solution of the interaction problem is proved in an appropriate Sobolev space by employing a variational method together with the classical Fredholm alternative. The inverse problem is then considered, which is to recover the elastic body by the scattered wave-field. It is shown that the shape and location of the elastic body can be uniquely determined by the fixed energy magnetic (or electric) far-field measurements corresponding to incident plane waves with all polarizations.

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Tielei Zhu, Jiaqing Yang, Bo Zhang. 2019-08-26. On Recovery of a Bounded Elastic Body by Electromagnetic Far-Field Measurements. https://arxiv.org/abs/1908.09603

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