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

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.