Exact radiation from two axisymmetric structures containing isorefractive materials

Summary form only given. The radiation from an electric or magnetic dipole located on the axis of symmetry of two structures made of perfect electric conductors and isorefractive materials is considered. The first structure consists of an oblate semi-spheroidal cavity flush-mounted to a metallic plane and filled with a material isorefractive to the medium above the plane. The semi-spheroidal cavity has a circular hole whose diameter is the interfocal distance of the semi-ellipse obtained by sectioning the oblate spheroid with any plane containing the symmetry axis z of the structure. The electric or magnetic dipole source is located on the z axis and is oriented parallel to the axis. The exact solution a this boundary-value problem is obtained in terms of oblate spheroidal wave functions. The second structure consists of a metallic oblate spheroid located at the interface between two isorefractive half-spaces. The electric or magnetic dipole source is located on the z axis and is oriented parallel to it. As in the first structure, the exact solution to the boundary-value problem is obtained in terms of oblate spheroidal wave functions by separation of variables and imposition of the boundary conditions. Two limiting cases are compared to each other, and an extension of Babinet´s principle is formulated.