Interpolation-based modelling of microwave ring resonators

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dc.contributor.advisorMeyer, P.
dc.contributor.authorSchoeman, Marlizeen_ZA
dc.contributor.otherUniversity of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering.
dc.date.accessioned2008-07-28T13:52:51Zen_ZA
dc.date.accessioned2010-06-01T08:13:12Z
dc.date.available2008-07-28T13:52:51Zen_ZA
dc.date.available2010-06-01T08:13:12Z
dc.date.issued2006-12
dc.descriptionThesis (PhD (Electical and Electronic Engineering))--University of Stellenbosch, 2006.
dc.description.abstractResonant frequencies and Q-factors of microwave ring resonators are predicted using interpolation- based modelling. A robust and efficient multivariate adaptive rational-multinomial combination interpolant is presented. The algorithm models multiple resonance frequencies of a microwave ring resonator simultaneously by solving an eigenmode problem. To ensure a feasible solution when using the Method of Moments, a frequency dependent scaling constant is applied to the output model. This, however, also induces a discontinuous solution space across the specific geometry and requires that the frequency dependence be addressed separately from other physical parameters. One-dimensional adaptive rational Vector Fitting is used to identify and classify resonance frequencies into modes. The geometrical parameter space then models the different mode frequencies using multivariate adaptive multinomial interpolation. The technique is illustrated and evaluated on both two- and three-dimensional input models. Statistical analysis results suggest that models are of a high accuracy even when some resonance frequencies are lost during the frequency identification procedure. A three-point rational interpolant function in the region of resonance is presented for the calculation of loaded quality factors. The technique utilises the already known interpolant coefficients of a Thiele-type continued fraction interpolant, modelling the S-parameter response of a resonator. By using only three of the interpolant coefficients at a time, the technique provides a direct fit and solution to the Q-factors without any additional computational electromagnetic effort. The modelling algorithm is tested and verified for both high- and low-Q resonators. The model is experimentally verified and comparative results to measurement predictions are shown. A disadvantage of the method is that the technique cannot be applied to noisy measurement data and that results become unreliable under low coupling conditions.en_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/1132
dc.language.isoenen_ZA
dc.publisherStellenbosch : University of Stellenbosch
dc.rights.holderUniversity of Stellenbosch
dc.subjectAdaptive interpolation-based modellingen_ZA
dc.subjectVector Fittingen_ZA
dc.subjectThiele-type continued fractionsen_ZA
dc.subjectRing resonatorsen_ZA
dc.subjectResonant frequenciesen_ZA
dc.subjectQ-factorsen_ZA
dc.subjectTheses -- Electrical and electronic engineeringen_ZA
dc.subjectDissertations -- Electrical and electronic engineeringen_ZA
dc.subject.lcshMicrowave devicesen_ZA
dc.subject.otherElectrical and Electronic Engineeringen_ZA
dc.titleInterpolation-based modelling of microwave ring resonatorsen_ZA
dc.typeThesis
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Doctoral Degrees (Electrical and Electronic Engineering)