Hettlich, F. Uniqueness of the inverse conductive scattering problem for time-harmonic electromagnetic waves. (English) Zbl 0849.35147 SIAM J. Appl. Math. 56, No. 2, 588-601 (1996). Summary: The scattering of time-harmonic electromagnetic waves by an obstacle covered with a thin layer of high conductivity leads to conductive boundary conditions. This paper is related to the inverse obstacle problem to determine the shape of such obstacles from the knowledge of scattered waves. A variational equation for this scattering problem is established. Then, under suitable assumptions, it is shown that the obstacle is uniquely determined by the far field patterns of all incident waves with a fixed wave number. This information is also sufficient for uniqueness of the other parameters of the inverse problem. Cited in 5 Documents MSC: 35R30 Inverse problems for PDEs 35Q60 PDEs in connection with optics and electromagnetic theory 35P25 Scattering theory for PDEs 78A45 Diffraction, scattering Keywords:Maxwell’s equations; inverse scattering problem; inverse obstacle problem; scattered waves; far field patterns; uniqueness PDFBibTeX XMLCite \textit{F. Hettlich}, SIAM J. Appl. Math. 56, No. 2, 588--601 (1996; Zbl 0849.35147) Full Text: DOI