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Electromagnetic wave scattering by a partially coated obstacle in a piecewise homogeneous medium
  • Yun Chol Kim,
  • Ung Kim,
  • Chol Min Jo
Yun Chol Kim
Kim Chaek University of Technology
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Ung Kim
Kim Chaek University of Technology
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Chol Min Jo
Kim Chaek University of Technology
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Peer review status:UNDER REVIEW

04 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
07 Mar 2020Assigned to Editor
07 Mar 2020Submission Checks Completed
09 Mar 2020Reviewer(s) Assigned

Abstract

In this paper, we consider an electromagnetic obstacle scattering problem in a piecewise homogeneous medium. We assume that the incident field is the electromagnetic plane wave and the obstacle consists of metallic and nonmetallic parts. We firstly establish uniqueness and existence for the solution to the electromagnetic obstacle scattering problem. Then we prove that the electric far field pattern satisfies the reciprocity relation and the set of electric far field patterns is complete in a Hilbert space. These results have an important bearing on the solution of the inverse electromagnetic scattering problem i.e. determination of the shape of the obstacle from the knowledge of the electric far field patterns.