The mode-matching technique is applied to the problem of radiation from a conical antenna with elliptic cross section including the degeneration to a sector antenna. In the 'guiding region' of the antenna the transverse electromagnetic wave is considered as well as higher-order waves which are described by products of Lame functions which satisfy the boundary conditions. In the exterior region, the field is expanded into products of Lame polynomials. Antenna input impedances and far-field patterns are shown as results. In addition to computing the far-field patterns of a conical horn with elliptic cross section by the aperture field method, the authors analyze the radiation field by a multipole expansion to the mode-matching technique.
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