Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 473616, 18 pages
Research Article

Analysis of a Coaxial Waveguide with Finite-Length Impedance Loadings in the Inner and Outer Conductors

Department of Mathematics, Gebze Institute of Technology, P.O. Box. 141, Gebze, 41400 Kocaeli, Turkey

Received 30 November 2008; Revised 2 March 2009; Accepted 10 May 2009

Academic Editor: Mohammad Younis

Copyright © 2009 Feray Hacıvelioğlu and Alinur Büyükaksoy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A rigorous Wiener-Hopf approach is used to investigate the band stop filter characteristics of a coaxial waveguide with finite-length impedance loading. 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 16 infinite sets of unknown coefficients satisfying 16 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, the surface impedances, and the length of the impedance loadings on the reflection coefficient are presented.