An exact treatment using the boundary-value method for solving the problem of scattering of a line-source field or a plane wave by a perfectly conducting elliptic cylinder coated with a confocal dielectric elliptical shell is presented. For the line-source excitation the total field is calculated, while for the plane-wave excitation the echo width is obtained. A sample and interesting results for the backscattering echo width versus different geometrical parameters are obtained and presented. A set of design-type curves, which are useful for locating the maximum or minimum backscattering echo width, are also provided.
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Ragheb et al. (1988) studied this question.