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Interpolation-based modelling of microwave ring resonators
Thesis (PhD (Electical and Electronic Engineering))--University of Stellenbosch, 2006.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2008
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| _version_ | 1867614102954704896 |
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| access_status_str | Open Access |
| author | Schoeman, Marlize |
| author2 | Meyer, P. |
| author_browse | Meyer, P. Schoeman, Marlize |
| author_facet | Meyer, P. Schoeman, Marlize |
| author_sort | Schoeman, Marlize |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (PhD (Electical and Electronic Engineering))--University of Stellenbosch, 2006. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/1132 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:46:42.610Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/1132 Interpolation-based modelling of microwave ring resonators Schoeman, Marlize Meyer, P. University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Adaptive interpolation-based modelling Vector Fitting Thiele-type continued fractions Ring resonators Resonant frequencies Q-factors Theses -- Electrical and electronic engineering Dissertations -- Electrical and electronic engineering Microwave devices Electrical and Electronic Engineering Thesis (PhD (Electical and Electronic Engineering))--University of Stellenbosch, 2006. Resonant 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. Doctoral 2008-07-28T13:52:51Z 2010-06-01T08:13:12Z 2008-07-28T13:52:51Z 2010-06-01T08:13:12Z 2006-12 Thesis http://hdl.handle.net/10019.1/1132 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Adaptive interpolation-based modelling Vector Fitting Thiele-type continued fractions Ring resonators Resonant frequencies Q-factors Theses -- Electrical and electronic engineering Dissertations -- Electrical and electronic engineering Microwave devices Electrical and Electronic Engineering Schoeman, Marlize Interpolation-based modelling of microwave ring resonators |
| title | Interpolation-based modelling of microwave ring resonators |
| title_full | Interpolation-based modelling of microwave ring resonators |
| title_fullStr | Interpolation-based modelling of microwave ring resonators |
| title_full_unstemmed | Interpolation-based modelling of microwave ring resonators |
| title_short | Interpolation-based modelling of microwave ring resonators |
| title_sort | interpolation based modelling of microwave ring resonators |
| topic | Adaptive interpolation-based modelling Vector Fitting Thiele-type continued fractions Ring resonators Resonant frequencies Q-factors Theses -- Electrical and electronic engineering Dissertations -- Electrical and electronic engineering Microwave devices Electrical and Electronic Engineering |
| url | http://hdl.handle.net/10019.1/1132 |
| work_keys_str_mv | AT schoemanmarlize interpolationbasedmodellingofmicrowaveringresonators |