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Reconstruction of annular bi-layered media in cylindrical waveguide section

Anders Eriksson ; Larisa Beilina (Institutionen för matematiska vetenskaper) ; Truls Martin Larsen
Journal of Mathematics in Industry (21905983). Vol. 7 (2017), 1,
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: least squares problem; open ended coaxial waveguide resonator; reconstruction of material parameters in a waveguide; transverse resonance model



Denna post skapades 2017-06-14.
CPL Pubid: 249775

 

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