Reconstruction of annular bi-layered media in cylindrical waveguide section
Artikel i vetenskaplig tidskrift, 2017

We consider a radial transverse resonance model for a circular cylindrical waveguide composed into two layers with different frequency dependent complex dielectric constants. An inverse problem with four unknowns - three physical material parameters and one dimensional dielectric layer thickness parameter - is solved by employing TE110 and TE210 modes with different radial field distribution. First the resonance frequencies and quality factors are found fitting a Lorentzian function to the ‘measured’ data, using the method of least squares. Then found resonance frequencies and quality factors are used in a second inverse Newton-Raphson algorithm which solves four transverse resonance equations in order to get four unknown parameters. The use of TE110 and TE210 models offers one-dimensional radial tomographic capability. An open ended coaxial waveguide quarter-wave resonator is added to the sensor topology, and the effect on the convergence of numerical method is investigated.

least squares problem

transverse resonance model

open ended coaxial waveguide resonator

reconstruction of material parameters in a waveguide


Anders Eriksson

Qamcom Research & Technology

Larisa Beilina

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Truls Martin Larsen

FMC Technologies

Journal of Mathematics in Industry

2190-5983 (ISSN)

Vol. 7 1 6




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