Rational functions and other techniques for RF and microwave modeling

TL;DRAbstract

This thesis contributes several techniques for electromagnetic-based computer-aided modeling of microwave components exploiting rational functions, space mapping, Finite Difference Time-Domain (FDTD) method etc. First, enhanced adaptive sampling algorithms, both in single and multi-dimensions, are proposed. The algorithms are based on rational interpolation, which leads to more accurate high-frequency models as compared to other existing interpolants, e.g. spline. Starting with a minimal number of support points, i.e. electromagnetic data, and with lowest-order rational functions, the algorithms systematically produce models, which meet user-specified accuracies. In each stage of these algorithms new support points are adaptively selected based on model errors. The advantages of the proposed algorithms are shown through practical RF and microwave examples. Second, a new space-mapping based CAD methodology for modeling temperature characteristics of combline resonators is proposed. With

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