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Two-dimensional boundary shape reconstructions in rectangular and coaxial waveguides
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-9241-8030
2016 (English)In: Wave motion, ISSN 0165-2125, E-ISSN 1878-433X, Vol. 66, 10-20 p.Article in journal (Refereed) Published
Abstract [en]

We present a method for shape reconstruction of deformed metallic boundaries in rectangular and coaxial waveguides using microwave scattering. Our developed reconstruction method is a theoretical basis for a future on-line microwave-based monitoring system for power grid components. The bundle of winding conductors in the active part of a typical power grid component is modeled as a continuous metallic surface. Then, electromagnetic field perturbation theory in conjunction with inverse problem theory is used to reconstruct the shape parameters of this surface. We assume small perturbations of the boundaries, such that the scattering parameters of the waveguide in the first-order perturbation have linear dependencies of the continuous deformation function. Thus, the corresponding inverse problem can be linearized and we can employ direct inversion, without the need for optimization which requires a higher computational effort. Tikhonov regularization is used to regularize the arising ill-conditioned linear system. The reconstructions, performed with noisy synthetic measurement data, show a good agreement with the actual shapes of the studied two-dimensional localized shape deformations for both rectangular and coaxial waveguide boundaries.

Place, publisher, year, edition, pages
2016. Vol. 66, 10-20 p.
Keyword [en]
Shape reconstructions, Waveguides, Inverse problems
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-193380DOI: 10.1016/j.wavemoti.2016.05.004ISI: 000381532700002Scopus ID: 2-s2.0-84971458103OAI: oai:DiVA.org:kth-193380DiVA: diva2:1037234
Note

QC 20161014

Available from: 2016-10-14 Created: 2016-10-03 Last updated: 2017-11-29Bibliographically approved

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  • apa
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  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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  • text
  • asciidoc
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