TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall

Abstract

TEM wave radiation from a dielectric-filled coaxial waveguide with a large circumferential gap on its outer wall is investigated rigorously by applying direct Fourier transform and reducing the problem into the solution of a modified Wiener–Hopf equation of the first type. Classical Wiener–Hopf procedure is applied by considering two different approaches for the factorization of the kernel function, and the Wiener–Hopf equation is solved via a set of Fredholm integral equations of the second type. The problem is also analyzed by applying a combination of Fourier transform and simple series representation, and the results are compared numerically. Besides, the effects of radii of the walls, relative permittivity, frequency, and the gap width on the scattered fields are illustrated graphically.