Electromagnetic Scattering by Apertures VII. The Annularly Slotted Sphere Theory

Abstract : The authors present the formal derivation of two sets of pairs of coupled integral equations. These arise in the scattering of an incident plane wave by a perfectly conducting sphere with an annular slot defined by means of two angles. The incident radiation is assumed for simplicity to be along the symmetry axis of the slotted sphere. Simple but quite remarkable relations between the sets of coupled equations are indicated. The formal solution for the complementary geometry-namely the perfectly conducting spherical ribbon is also presented. (Author)