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 contributionpeer-review

    2 Citations (Scopus)

    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
    Country/TerritorySpain
    CityGranada
    Period9/09/1913/09/19

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