Abstract
In the present work, the band-pass filter characteristics of a coaxial waveguide with an impedance coated groove on the inner wall and perfectly conducting outer wall is analyzed rigorously through the Wiener–Hopf technique. By using the direct Fourier transform, the related boundary value problem is reduced to the Wiener–Hopf equation whose solution contains infinitely many constants satisfying an infinite system of linear algebraic equations. These equations are solved numerically and the field terms, which depends on the solution obtained numerically, are derived explicitly. The problem is also analyzed by applying a mode-matching technique and the results are compared numerically. Besides, some computational results illustrating the effects of parameters such as depth of the groove, surface impedances and radii of the walls are also presented.
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The author thanks the referees for substantial remarks that led to the present form of this article.
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Öztürk, H. Wiener–Hopf approach for the coaxial waveguide with an impedance-coated groove on the inner wall. J Eng Math 124, 75–88 (2020). https://doi.org/10.1007/s10665-020-10064-5
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DOI: https://doi.org/10.1007/s10665-020-10064-5