Radiation of an elementary cylinder antenna through a slotted enclosure

The shrouding of an elementary cylinder antenna by a concentric perfectly conducting axially slotted shell is considered. The problem is reduced to a Fredholm integral equation of the first kind, which is solved for the case of a narrow shell slot. The solution indicates that the slotted shell inhibits the antenna radiation only for certain parameter combinations; for most others, the radiation remains the same, and for some it is enhanced.