RIGOROUS ANALYSIS OF TM WAVE SCATTERING BY A LARGE CIRCUMFERENTIAL GAP ON A DIELECTRIC-FILLED CIRCULAR WAVEGUIDE

Abstract

TM wave scattering by a large circumferential gap on a circular waveguide filled with a dielectric material 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 and the Wiener-Hopf equation is solved via a set of Fredholm integral equations of the second type. At the end of the analysis, the effects of waveguide radius, relative permittivity, frequency and the gap width on the scattered fields are illustrated graphically.