The Characteristic Mode Theory of the Filed Penetration into a Cylindrical Waveguide through Rectangular Aperture, TM Case

The problem of aperture in conducting media has been widely considered in the literature. This problem addresses the case of an electromagnetic wave incident on a structure of conducting material segmenting space into two or more regions coupled through one or more aperture in the walls of the conductor. The purpose would be to compute the electromagnetic field everywhere in space due to the incident wave. The method of characteristic modes has been successfully used to solve this problem for several configurations for the conducting structure and aperture shape. This paper uses this method to solve the aperture problem for a cylindrical conducting guide coupled to open half space through a rectangular aperture. The theory of filed computation at both sides of the apertures are determined as a function of the aperture and cylinder dimensions.