Scattering of the field of an electric dipole by a conic structure with longitudinal slots

Abstract

The excitation of a semi-infinite perfectly conducting infinitely thin circular cone with semi-infinite slots by a radial electric dipole is investigated. The slots are cut along the cone generatrices and equally spaced. The problem is solved based on the Kontorovich-Lebedev integral transform and the Riemann-Hilbert problem method. Analytic solutions are obtained for a semitransparent cone and a cone with narrow slots. The effect of slots on the field structure, polarization, and behavior in the proximity of the cone vertex is studied.