Scattering of the TEM mode at the junction of perfectly conducting and impedance coaxial waveguides

Abstract

In the present work, a rigorous Wiener-Hopf approach is used to investigate the radiation characteristics of a two-part coaxial waveguide, whose left part is perfectly conducting while the surface impedances of the inner and outer cylinders of the right part are different from each other. The representation of the solution to the boundary-value problem in terms of Fourier integrals leads to two simultaneous modified Wiener-Hopf equations whose formal solution is obtained by using the factorization and decomposition procedures. The solution involves two infinite sets of unknown coefficients satisfying two infinite systems of linear algebraic equations. These systems are solved numerically, and some graphical results showing the influence of the spacing between the coaxial cylinders and the surface impedances on the reflection coefficient are presented.