Computational & Applied Math Seminar

On recovery of a bounded elastic body by electromagnetic far-field measurements

  • Speaker: Jiaqing Yang (Xi'an Jiaotong University)

  • Time: Dec 4, 2019, 10:00-11:00

  • Location: Conference Room 415, Hui Yuan 3#

Abstract:This talk is concerned with the scattering of a time-harmonic electromagnetic wave 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 aims 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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