The Vector Wave Function Solution of the Diffraction of Electromagnetic Waves by Circular Disks and Apertures. II. The Diffraction Problems

Abstract

Rigorous solutions are presented of the problems of diffraction of plane electromagnetic waves by an infinitely thin, perfectly conducting, circular disk and by a circular aperture in a plane conducting screen. A unique solution is obtained in each case when two separate groups of the appropriate oblate spheroidal vector wave functions discussed in Part I are combined to fulfill the condition that the φ component of the electric field vanish on the rims of the disk and aperture.