Scattering by a conducting elliptic cylinder coated with a nonconfocal homogeneous anisotropic shell

The problem of scattering by an anisotropic-coated nonconfocal conducting elliptic cylinder is investigated. In order to solve the boundary condition on the surface of the conducting cylinder, the transmitted field in the homogeneous anisotropic shell is described in the local coordinates. The addition theorem of Mathieu functions is used to transfer from the local coordinates to the global ones. Only the transverse magnetic case is presented. The result is in agreement with that available, as expected when the coated elliptic cylinder degenerates to a coated circular one.