Date of Award
Open Access Dissertation
Paul G. Huray
Modern baseband signaling that facilitates the passing of information over high speed interconnects such as copper twin-ax cable and printed circuit boards supports single line data rates of 100 Gbps. Next generation bandwidth requirements of electrical links are approaching frequencies up to 50 GHz. Yet, signal integrity engineers that analyze these interconnects rely on models with underlying assumptions and limited extensions beyond those proposed in the 19th century to describe per unit length characteristics of Resistance, Inductance, Conductance, and Capacitance (RLGC) for transatlantic telegraph cable. An excluded phenomenon is the time retarded behavior of electromagnetic fields. The aim of this research is to quantify the impact of time retarded electromagnetic fields on the frequency dependent phase as described by the RLGC(p) model and applied to transmission line geometries encountered in printed circuit boards. Four areas of focus are pursued in this study. Applications of time retarded electromagnetic fields are examined with emphasis on velocity mismatch of the surface charge density above and below the signal conductor of a microstrip transmission line, and the loss mechanism of Cherenkov Radiation is newly applied to these electromagnetic waveguides. Simulation experiments are performed to validate that the analytical solutions to Jefimenko‘s equations are comprehended in a full wave EM solver. Design of a test apparatus for quantifying the time retardation impact to coupling of transmission lines on a Fused Silica substrate is presented. Finally, measurement attempts of this apparatus are discussed along with the challenges of metallization of thru glass vias and glass surfaces. Future research is proposed for Cherenkov Radivi ation on microstrip transmission lines along with suggested experiments to perhaps visualize time retarded electromagnetic fields.
Thomas Gore, B.(2018). Quantifying Time Retarded Electromagnetic Fields and Their Applications in Transmission Lines. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/4493