Date of Award

Winter 12-1-2010

Document Type


Degree Name

Doctor of Philosophy (PhD)


Electrical, Computer & Energy Engineering

First Advisor

Edward F Kuester

Second Advisor

James H Curry

Third Advisor

Albin Gasiewski


The Authoritative Dictionary of IEEE Standard Terms [1] provides two definitions for the quality factor, or Q, of a resonant system. These definitions suggest a fundamental relationship between the fractional bandwidth of a resonant system and the ratio of stored energy to dissipated energy within that system. We show this relationship is in general not true. The success of this relationship, however, inspires the research that follows. We seek to fine a more general, and fundamental, relationship between the energy within a system and the terminal behavior of that system. We apply our ideas to antennas theory and the theory of nonuniform transmission lines.