Radar cross section of a semi-elliptic channel in a ground plane loaded by multi -dielectric layerers

An analytic solution to the problem of scattering of a plane electromagnetic wave by a lossy or lossless dielectric confocal elliptic shell loading a semi-elliptic channel is derived. The incident, scattered and transmitted fields in every region are expressed in terms of complex Mathieu functions. Applying the boundary conditions at various faces and interfaces along with the partial orthogonality properties of angular Mathieu functions, the unknown scattered and transmitted field coefficients are obtained and written in matrix form. The presented numerical results show a good agreement with the published data especially for the case of a lossless dielectric shell loading a semi-circular channel.