Accurate cutoff wavenumbers of a waveguide perturbed by axially aligned inner conductors

Paul D. Smith, Elena D. Vinogradova, Yu V. Shestopalov

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

Abstract

Time-harmonic propagating modes in a perfectly electrically conducting waveguide with constant cross-section ∂D and axis aligned with the z-axis have the form u(x,y)e -iωt-iγz where the cross-sectional function u satisfies the two-dimensional Helmholtz equation (Δ+λ)u=0; here k denotes the wavenumber and λ = k 22 . Propagating modes occur at values λ1 ≤ λ2 ≤ λ3 ≤ ... of λ generating non-trivial solutions of the Helmholtz equation; the cutoff wavenumbers correspond to setting γ to zero. Now suppose that axially aligned PEC structures of cross-section Γ are inserted in the waveguide. The propagation constants are perturbed to values that may be denoted λ1+Δλ1,λ2+Δλ2,...; 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.

Original languageEnglish
Title of host publicationProceedings of the 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1049
Number of pages1
ISBN (Electronic)9781728105635, 9781728105628
ISBN (Print)9781728105642
DOIs
Publication statusPublished - 2019
Event21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain
Duration: 9 Sep 201913 Sep 2019

Conference

Conference21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
CountrySpain
CityGranada
Period9/09/1913/09/19

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  • Cite this

    Smith, P. D., Vinogradova, E. D., & Shestopalov, Y. V. (2019). Accurate cutoff wavenumbers of a waveguide perturbed by axially aligned inner conductors. In Proceedings of the 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA) (pp. 1049). Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2019.8879114