Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary

This paper is concerned with the problem of scattering of time-harmonic electromagneticwaves by a penetrable, inhomogeneous, Lipschitz obstacle covered with a thin layer of highconductivity. The well posedness of the direct problem is established by the variational method. Theinverse problem is also considered in this paper. Under certain assumptions, a uniqueness result isobtained for determining the shape and location of the obstacle and the corresponding surface parameter λ(x) from the knowledge of the near field data, assuming that the incident fields are electricdipoles located on a large sphere with polarization p∈ℝ3. Our results extend those in the paper by F. Hettlich (1996) to thecase of inhomogeneous Lipschitz obstacles