Abstract
Analytic solution to the problem of scattering of a TE polarized plane electromagnetic wave by a lossy dielectric loaded semi-elliptic channel is investigated. The incident, scattered and transmitted fields in every region are expressed in terms of complex Mathieu functions. Applying the boundary conditions at metal surface and dielectric interface 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 that the semi-circular channel has strong resonances compared with the semi-elliptic channel and the presence of a lossy dielectric material reduces the magnitude of the backscattered field.
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