Reconstruction of annular bi-layered media in cylindrical waveguide section
Journal article, 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.

reconstruction of material parameters in a waveguide

open ended coaxial waveguide resonator

transverse resonance model

least squares problem


Anders Eriksson

Qamcom Research & Technology

Larisa Beilina

Chalmers, Mathematical Sciences

University of Gothenburg

Truls Martin Larsen

FMC Technologies

Journal of Mathematics in Industry

2190-5983 (ISSN)

Vol. 7 1 6

Subject Categories

Mechanical Engineering

Computational Mathematics

Other Physics Topics



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