THE TRANSFER/TRANSMISSION LINE MATRIX METHOD APPLIED IN ELECTROMAGNETICS
Open Access
- Author:
- Qin, Yifeng
- Graduate Program:
- Electrical Engineering
- Degree:
- Doctor of Philosophy
- Document Type:
- Dissertation
- Date of Defense:
- March 04, 2019
- Committee Members:
- Douglas Werner, Dissertation Advisor/Co-Advisor
Douglas Werner, Committee Chair/Co-Chair
Victor Pasko, Committee Member
Zhiwen Liu, Committee Member
Ramakrishnan Rajagopalan, Outside Member - Keywords:
- Transfer Matrix Method
Analytical Method
Bi-anisotropic Material
Multi-layer System
Antenna
Multi-conductor Transmission Line System - Abstract:
- Although numerical full-wave methods are widely used for simulating and troubleshooting electromagnetic problems, these methods are computationally intensive for predicting the wavesβ behavior in a stratified system or a system with multiple meta-slabs. Analytical methods relying on transmission matrices, instead, feature advantages in handling such complicated problems. This dissertation investigates the multi-conductor transmission line (MTL) matrix method and the transfer matrix method (TMM), as well as their applications in various research areas. Chapter 1 reviews the basic knowledge of TMM. Chapter 2 studies the application of multi-conductor TMM in the frequency response of multiple perfect electric conducting (PEC) cable transmission lines placed above an infinite lossy ground. Chapter 3 proposes and proves a generalized TMM for improving the performance and reliability of solving and predicting the behaviors of ordinary EM waves in an arbitrary medium. Its application in multi-beam transmit-surface array antennas is also studied. As an extension, a method of retrieving four full-rank constitutive tensors πΜ , πΜ , πΜ , and πΜ is proposed. Chapter 4 demonstrates a novel structure for dual-band low-profile antennas. Its eigencurrent modes are analyzed via the MTL matrix method, which reveals the operating mechanisms of different radiation modes. Chapter 5 proposes a ferrite-loaded crossed-bowtie circularly polarized Vivaldi-curvature dipole antenna, as well as a guideline for the proper usage of ferrite material.