| This research involves the development of highly accurate and efficient numerical tools which will lead to user-friendly design software. In this dissertation, a full-wave spatial-domain analysis combined with the method of moments is presented to characterize the generalized 3-D microstrip elements of arbitrary shape in a multi-layered medium. The multi-layered dyadic Green's functions are first derived based on the mixed-potential integral equation, and a hybrid complex-image and numerical integration technique is applied to evaluate the Sommerfeld integrals. These Green's functions take into account both radiation and surface waves. Two types of triangular basis functions are used to expand the current distributions on microstrips and vias. The method of moments is then employed to solve the unknown current, and all the circuit parameters or antenna properties are obtained subsequently. Many examples are given to illustrate the unified theory for both circuits and antennas. Comparison of some applications with experimental and available analytical data shows excellent agreement. |
