Abstract
The scattering problem of a time-harmonic electromagnetic plane wave by a dielectric ellipsoid with a perfectly conductive confocal ellipsoidal core is considered. A method for solving an inverse electromagnetic scattering problem for the layered ellipsoid using near-field data or far-field data is presented. The size and the orientation of the layered ellipsoid can be obtained, using a finite number of measurements of the low-frequency approximation of the electric scattered field or the electric far-field pattern. Corresponding results for the dielectric ellipsoid and the perfectly conductive ellipsoid are presented considering them as physically degenerate forms of the layered ellipsoid. Moreover, results for the layered sphere and the layered spheroid may be obtained, considering them as geometrically degenerate forms of the layered ellipsoid.
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