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In this dissertation, the full-wave characteristics of various coplanar waveguide discontinuities are studied and applied to microwave and millimeter-wave filter designs. First, the full-wave algorithm of mixed potential integral equation with moment method is applied to solve the equivalent magnetic current distributions on the apertures of coplanar waveguide discontinuity structures. From the current distributions, the far field patterns and power losses of both radiation and surface waves are obtained by deriving novel formulas which are concise, simple, and efficient for computation. In the meantime, the matrix pencil approach is applied to extract the scattering parameters and from which, obtain the total power loss by circuit theory. Good agreement between the calculated radiation and surface wave losses by field theory and the total power loss by circuit theory verifies the correctness of our new expressions. The full-wave analysis is extended to deal with the coplanar waveguide discontinuities with finite metallization thickness by hybridizing the mixed potential integral equation with the finite element method for the electric field in the slot region between upper and lower half spaces. The edge profile effects of trapezoidal slot cross section resulted from the etching or sputtering process are also considered. As the metallization thickness is comparable to the slot and strip widths, it has been shown from the numerical results that not only the metallization thickness but also the conductor edge profile can produce noticeable effects on circuit performance and should be taken into account for accurately modeling the coplanar waveguide discontinuities. After successfully establishing the full-wave characterization techniques for various CPW discontinuities, five different types of filters are designed and analyzed. The RBW type and impedance transformer type filters are suitable for wide-band applications, while capacitive-coupled half-wave filter, inductive-coupled half-wave filter, and LC-coupled quarter-wave filter are suitable for narrow-band applications. For each type of filter, design theory and procedure are presented and clearly explained. In the design phase, quasi-static equivalent circuits are employed for circuit simulation to obtain the optimal dimensions. The full- wave characterization is employed in the analysis phase to investigate the high frequency behaviors such as coupling, dispersion, radiation and surface wave losses. Some bandpass filters are fabricated and measured under the TRL calibration. The good agreement between the simulation results and experimental data not only validates the accuracy of the full -wave characterization approach developed in this dissertation but also verifies the proposed design procedures.
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