Date of Award


Document Type


Degree Name

Doctor of Philosophy (PhD)

Legacy Department

Electrical Engineering


Martin, Anthony Q

Committee Member

Butler , Chalmers M

Committee Member

Xu , Xiao-Bang

Committee Member

Khan , Taufiquar R


The rapid increase of affordable computing resources combined with the continued development and refinement of computational electromagnetic (CEM) methods has yielded a wide range of accurate and well-verified EM modeling tools; however, improvements are required to keep pace with the current and future requirements of EM systems. One such need is the development of robust, computationally-efficient methods which provide one the means to understand complex resonant systems through the by analyzing EM responses. The characteristics of resonant systems often make the determination of a wideband response with CEM methods computationally very intensive. Also, a numerical solution may not directly provide one with the physical insight needed to identify the characteristics of a complex system that influence its EM behavior. With a clear understanding of why a system behaves as it does, one can make better-informed choices on how to modify and design structures which have the desired properties. Even with the widespread use of optimization techniques, such as the genetic algorithm, to automate the search for an optimal combination of parameters, physical insight provides a valuable perspective. It can provide guidance in the design process and also allows one to better understand why a design works, which can lead to additional ideas to pursue.
Procedures to efficiently and reliably extrapolate a wideband EM response of a resonant structure in the time- and frequency-domain are presented in this dissertation. Values of the response at discrete points in early time, low frequency, and space are determined with CEM methods, and the data are extrapolated to determine a representation of the complete response in time and frequency as a sum of weighted polynomials and pole terms. The representation is accurate and compact, and it is shown to provide valuable physical insight in the resonant behavior of the structure.