UNIQUENESS OF THE INVERSE CONDUCTIVE SCATTERING PROBLEM FOR TIME-HARMONIC ELECTROMAGNETIC-WAVES

The scattering of time-harmonic electromagnetic waves by an obstacle c overed with a thin layer of high conductivity leads to conductive boun dary conditions. This paper is related to the inverse obstacle problem to determine the shape of such obstacles from the knowledge of scatte red waves. A variational equation for this scattering problem is estab lished. Then, under suitable assumptions, it is shown that the obstacl e is uniquely determined by the far field patterns of all incident wav es with a fixed wave number. This information is also sufficient for u niqueness of the other parameters of the inverse problem.