by Cheng Yat Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves 1-6 (2nd gp.)). / Abstracts in English and Chinese. / Acknowledgements / Abstract: / A CD containing the Simulator and Results / List of Figures / List of Tables / Chapter 1. --- Introduction / Introduction --- p.1 / Chapter 2 --- Background Theory / Chapter 2.1 --- Empirical Design Formulas for Some Passive Microwave structures --- p.2 / Chapter 2.2.1 --- Short Dipole and Monopole --- p.4 / Chapter 2.2.2 --- Slot Antenna --- p.6 / Chapter 2.2.3 --- Stripline --- p.8 / Chapter 2.2.4 --- Microstrip --- p.10 / Chapter 2.2 --- Edge Based Finite Element Method and the Generalized Variational Principle --- p.12 / Chapter 2.2.1 --- Vector Finite Element Method for Electromagnetics --- p.14 / Chapter 2.2.1.1 --- Variational Formulation --- p.14 / Chapter 2.2.1.2 --- Advantages in Total Field Formulation --- p.16 / Chapter 2.2.2 --- Formulation by Method of Weighted Residual the Galerkin's Approach --- p.17 / Chapter 2.2.3 --- "the Vector Bases for BRICK, PRISM, TETRA" --- p.21 / Chapter 2.2.3.1 --- BRICK --- p.23 / Chapter 2.2.3.2 --- PRISM --- p.26 / Chapter 2.2.4 --- "Domain Discretization: Mesh Generation Scheme for 3D, 2D, ID Geometrical Entities in the Cartesian Domain" --- p.29 / Chapter 2.3 --- Construction of the Functional with Total Field Formulation --- p.31 / Chapter 2.3.1 --- Vector Wave Equation in the Cartesian Domain --- p.32 / Chapter 2.3.2 --- Boundary Conditions in the Cartesian Domain --- p.33 / Chapter 2.3.2.1 --- Perfect Magnetic Wall (Neumann's Boundary Condition) --- p.34 / Chapter 2.3.2.2 --- Perfect Electric Wall (Dirichlet Boundary Condition) --- p.34 / Chapter 2.3.2.3 --- Anisotropic Perfectly Matched Layer (APML) --- p.35 / Chapter 2.3.2.4 --- 2nd Order Absorbing Boundary Conditions --- p.39 / Chapter 2.3.2.5 --- Plane Wave Incidence (Uinc) --- p.40 / Chapter 2.3.2.6 --- Magnetic Aperture (M) --- p.42 / Chapter 2.3.2.7 --- Passive Lumped Load (ZL1D ) --- p.42 / Chapter 2.3.2.8 --- Current Feed (J) --- p.42 / Chapter 2.3.2.9 --- Voltage Feed (impressed E-field) --- p.43 / Chapter 2.3.2.10 --- Resistive Sheet ( =lst order ABC = standard IBC ) --- p.44 / Chapter 2.4 --- Visualization and Post-Processing of the Solution Field --- p.45 / Chapter 2.4.1 --- Field Pattern Plot --- p.45 / Chapter 2.4.2 --- Impedance at Input Port --- p.45 / Chapter 2.4.3 --- Y-parameter Extraction. --- p.46 / Chapter 3. --- Simulation Results and Discussion; / Chapter 3.1 --- Radiating Structures --- p.48 / Chapter 3.1.1 --- Short Dipole and Monopole --- p.48 / Chapter 3.1.1.1 --- Short Dipole --- p.48 / Chapter 3.1.1.2 --- Equivalent Monopole --- p.50 / Chapter 3.1.2 --- Slot Antenna --- p.52 / Chapter 3.1.2.1 --- Slot Antenna excited by the equivalent magnetic aperture --- p.52 / Chapter 3.1.2.3 --- Slot Antenna Excited by Unit Current Feed with Plane Wave Incidence ( Uinc) --- p.54 / Chapter 3.2 --- Striplines --- p.57 / Chapter 3.2.1 --- A Straight 50Ω Stripline --- p.57 / Chapter 3.2.1.1 --- Optimizing the Thickness and Number of Layer of PML --- p.58 / Chapter 3.2.1.2 --- Different Combination of BRICK and PRISM Mesh --- p.60 / Chapter 3.2.2 --- A Cross Junction --- p.63 / Chapter 3.2.3 --- A Squared 90° Corner --- p.69 / Chapter 3.2.4 --- A Champfered 90° Corner --- p.73 / Chapter 3.2.5 --- A Pair of Slot-Coupled Stripline Each Terminated with Open Circuit at Slot + λ/2 --- p.75 / Chapter 3.2.6 --- A Pair of Slot-Coupled Stripline Each Terminated with Short Circuit at Slot + λ/4 --- p.78 / Chapter 3.2.7 --- A Pair of Slot-Coupled Striplines Each Terminated with Short Circuit at Slot + λ/4 and Shorted through the Slot --- p.80 / Chapter 3.2.8 --- A Pair of Slot-Coupled Striplines Each Terminated with Short Circuit at Slot + λ/4 and has 50Ω Load through the Slot --- p.83 / Chapter 3.3 --- Calculating the Input Impedance ( Vport / Iport ) / Chapter 3.3.1 --- A Pair of Slot-Coupled Stripline Each Terminated with Short Circuit at Slot + λ/4 --- p.85 / Chapter 4 --- Conclusion / Chapter 4.1 --- Conclusion --- p.88 / Chapter 4.2 --- Minor Problems Encountered --- p.89 / Chapter 4.2 --- To Probe Further --- p.90 / Chapter Appendex: --- Implementation of the Edge-Based Finite Element Method / Chapter A.1 --- Mesh Generation Scheme --- p.92 / Chapter A.1.1 --- "Global Node, Edge and Primitive Assignment" --- p.93 / Chapter A.1.2 --- Property Assignment Local to Every Basis and Primitive --- p.94 / Chapter A.2 --- Assembly the Global System of Equations from the Element Stamps of all Primitives wrt. Global Edge Numbering --- p.95 / Chapter A.2.1 --- Setting up the Volumetric Integral for the Vector Wave Equation --- p.95 / Chapter A.2.1.1 --- Volume Integration of Constant Tangential Brick Elements --- p.96 / Chapter A.2.1.2 --- Volume Integration of Constant Tangential Pyramidal Elements --- p.98 / Chapter A.2.2 --- Incorporation of Boundary Conditions --- p.100 / Chapter A.2.2.1 --- Surface Integration of Constant Tangential Brick Elements --- p.100 / Chapter A.2.2.2 --- Surface Integration of Constant Tangential Pyramidal Elements --- p.105 / Chapter A.3 --- Solution to the Final System --- p.110 / Chapter A.3.1 --- Solving a System of Linear Equations by Diagonalization & Blockwise Partitioning --- p.111 / Chapter A.3.2 --- Direct Solution Method for Complex-valued System --- p.114 / Chapter A.4 --- Visualization and Post-Processing of the Solution Field --- p.115 / Chapter A.4.1 --- Field Pattern Visualization --- p.115 / Chapter A.4.2 --- Input Impedance Definition ( Vport /Iport). --- p.115 / Chapter A.4.3 --- Y-parameter Extraction. --- p.115 / Chapter A.4.3.1 --- Surface Integration of Brick Elements --- p.115 / Chapter A.4.3.2 --- Surface Integration of Pyramidal Elements --- p.117 / Chapter A.5 --- Simulation Setup with BRICK+PRISM+higher order TETRA --- p.119 / References / Books: / Journals and Papers: / for Hierarchal Edge Bases and FEM Formulations: / for ABC and PML: / for Mesh Generation: / for Free FEM Source Code Matrix Solver: / Miscellaneous: