Scattering of a TEM wave by a large circumferential gap on a coaxial waveguide

Abstract

In the present work, the scattering of a TEM wave by a gap on the outer wall of a coaxial waveguide is analyzed rigorously. The formulation of the related boundary-value problem in terms of Fourier integrals leads to a modified Wiener–Hopf equation which is first reduced into a pair of Fredholm integral equations of the second kind and the diffraction coefficients related to the reflected, transmitted, and radiated fields are determined explicitly for large gap width compared to the wavelength. At the end of the analysis, numerical results illustrating the effects of the cross-sectional area of the coaxial cylindrical waveguide and the gap width on the fields are presented.