Dispersion curve of the helically corrugated waveguide based on helicoidal coordinate transform

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Zhang, Liang and Easton, Jack and Donaldson, Craig R. and Whyte, Colin G. and Cross, Adrian W. (2022) Dispersion curve of the helically corrugated waveguide based on helicoidal coordinate transform. IEEE Transactions on Electron Devices, 69 (6). 3427 - 3432. ISSN 0018-9383 (https://doi.org/10.1109/TED.2022.3170279)

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Abstract

This article presents the dispersion curve study of the helically corrugated waveguide (HCW) using the 2-D finite element method (FEM) method based on the helicoidal coordinate transform. Calculation of the dispersion curve is 60 times faster compared with 3-D FEM simulation while maintaining similar accuracy. The 2-D method was used to investigate the relative error between it and a 1-D analytical method based on perturbation theory. Over a narrow parametric range, the 1-D method has a similar dispersion (within a relative error of 3%) in comparison to the 2-D/3-D methods but the error greatly increased when the parameter space was expanded. Correction factors were determined to greatly enhance the 1-D method accuracy over the wider parametric range. Assisted by the improved 1-D method, it allows identifying the desired operating mode automatically within the multiple eigenvalues from the 2-D simulation results. Therefore, it can be integrated into an optimization routine to explore the applications of the HCWs at wider parameter ranges.

ORCID iDs

Zhang, Liang ORCID logoORCID: https://orcid.org/0000-0002-6317-0395, Easton, Jack, Donaldson, Craig R. ORCID logoORCID: https://orcid.org/0000-0001-6627-2461, Whyte, Colin G. ORCID logoORCID: https://orcid.org/0000-0002-5431-2443 and Cross, Adrian W. ORCID logoORCID: https://orcid.org/0000-0001-7672-1283;
  • Item type:Article
    ID code:80580
    Dates:
    Date
    Event
    June 2022
    Published
    9 May 2022
    Published Online
    21 April 2022
    Accepted
    Notes:© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting /republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:06 May 2022 09:56
    Last modified:22 Dec 2024 01:30
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/80580
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