Applications of Higher Symmetries

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Table of contents

Declaration of Authorship
Abstract
1 Introduction
1.1 Organization of the Document
2 Periodic and Higher Symmetric Structures
2.1 Wave Propagation in Periodic Structures
2.1.1 Periodic Structures
2.1.2 Floquet Theorem
2.1.3 Dispersion Relation and Brillouin Zone
2.2 Higher Symmetries in Periodic Structures
2.3 Applications of Higher Symmetries
2.3.1 Early studies
2.3.2 Reduced frequency dispersion and lens antennas
2.3.3 Backward radiation and leaky-wave antennas
2.3.4 Enhanced stopband and microwave components
2.3.5 Breaking glide symmetry
2.3.6 Glide-symmetric flanges
2.3.7 Matching improvement of dielectric discontinuities and printed circuits
2.3.8 Properties of twist symmetric lines
2.4 Existing models for higher symmetries
2.5 Content of the thesis
3 Multimodal T Matrix Analyses for Cells with Higher Symmetries
3.1 Transmission-Matrix Analysis
3.2 Extension of the T Matrix Analysis
3.2.1 Multimodal T Matrix
3.2.2 Analysis of 1-D Periodic Structures
3.2.3 Analysis of 2-D Periodic Structures
3.3 Glide Symmetric Structures
3.3.1 Glide Symmetry Along One Direction
Periodic-structure associated to a glide structure
Reducible and irreducible glide-symmetric structures .
3.3.2 1-D Glide-Symmetric Boundary Conditions Along One
Direction
3.3.3 Glide Symmetry Along Two Directions
3.3.4 2-D Glide Conditions on the Boundaries of a Quarter of a Non-Minimal Unit Cell
3.3.5 Parameter Study on the Reducible Condition
3.3.6 Computation Time
3.4 Twist-Symmetric Structures
3.4.1 Reducible and Irreducible twist structures
3.4.2 Twist Symmetry Conditions on a Sub-unit Cell
3.5 Conclusions
4 Reconfigurable Waveguide Technology Based on Glide Symmetry
4.1 Introduction on MM-Wave Switches
4.2 ReconfigurableWaveguide Design
4.2.1 Design of Guiding Medium and EBG
Parametric Study of the EBG Unit Cell
The “on” State
Two-State Reconfigurability
4.2.2 Feeding Mechanism and Impedance Matching
4.2.3 Simulation Results
4.3 The Improved ReconfigurableWaveguide
4.3.1 Modifications of the guiding medium
4.3.2 Modifications of the EBG medium
4.3.3 The Final Structure
4.3.4 Simulation Results
SingleWaveguide
AdjacentWaveguides
Comparisons with Non-Glide Waveguides
4.3.5 Measurements
4.4 Conclusions
5 Conclusion
5.1 Contributions
5.2 Future Work
Bibliography