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Accurate cutoff wavenumbers of a waveguide perturbed by axially aligned inner conductors
Macquarie University, Sydney, Australia.
Macquarie University, Sydney, Australia.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.
2019 (English)In: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, p. 1049-1049Conference paper, Published paper (Refereed)
Abstract [en]

Time-harmonic propagating modes in a perfectly electrically conducting waveguide with constant cross-section $\partial \mathrm{D}$ and axis aligned with the z-axis have the form $\mathrm{u}(\mathrm{x},\mathrm{y})\mathrm{e}^{-\mathrm{i}\omega \mathrm{t}-\mathrm{i}\gamma\mathrm{z}}$ where the cross-sectional function u satisfies the two-dimensional Helmholtz equation $(\Delta+\lambda)\mathrm{u}=0$; here $k$ denotes the wavenumber and $\lambda=\mathrm{k}^{2}-\gamma^{2}$. Propagating modes occur at values $\lambda_{1}\leq\lambda_{2}\leq\lambda_{3}\leq\cdots$ of $\lambda$ generating non-trivial solutions of the Helmholtz equation; the cutoff wavenumbers correspond to setting $\gamma$ to zero. Now suppose that axially aligned PEC structures of cross-section $\Gamma$ are inserted in the waveguide. The propagation constants are perturbed to values that may be denoted $\lambda_{1}+\Delta\lambda_{1},\lambda_{2}+\Delta\lambda_{2},\ldots$; the cutoff wavenumbers of the empty waveguide are correspondingly perturbed. In this paper we present a reliable, effective and efficient method to obtain the perturbed propagation constants. It allows us to examine the inclusion of multiple strips aligned with the z-axis, with the potential for characterizing propagation in structures with a number of small strip inserts, metamaterial-filled waveguides and so on.

Place, publisher, year, edition, pages
2019. p. 1049-1049
Keywords [en]
Mathematical model, Propagation constant, Strips, Cutoff frequency, Transmission line matrix methods, Conductors, Australia
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-30884DOI: 10.1109/ICEAA.2019.8879114Scopus ID: 2-s2.0-85074937469ISBN: 978-1-7281-0563-5 (electronic)OAI: oai:DiVA.org:hig-30884DiVA, id: diva2:1367928
Conference
2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 9-13 September 2019, Granada, Spain
Available from: 2019-11-05 Created: 2019-11-05 Last updated: 2019-11-25Bibliographically approved

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Shestopalov, Yury

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