Excitation of a modified slotted cone antenna

The model excitation problem for a special slotted cone antenna is considered periodical slots are cut along rulings of the cone that has an isotropic one inside. The problem solution method uses the Kontorovich-Lebedev integral transforms and the Riemann-Hilbert problem method. The analytical solution is obtained for a semi-transparent exterior cone. Slots effects are analyzed by virtue of given scattered field patterns.