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Wei Song, Beijing Institute of Technology, China
Wei Song is an Assistant Professor of the School of Information and Electronics at the Beijing Institute of Technology. Her research interests include computational electromagnetics, scattering, antennas, and metamaterial analysis. She has published several papers on the topic of numerical methods and metamaterials. She also has contributed a chapter to FDTD Modeling of Metamaterials: Theory and Applications (Artech House Publishers, 2008). She holds a PhD in Electronic Engineering, specializing in Electromagnetics, awarded by the Antennas and Radio Propagation Research Group at University of London.
Preface | p. ix |
Mathematical Formulations for Electromagnetic Fields | p. 1 |
Deterministic Vector Partial Differential System of the Electromagnetic Fields | p. 1 |
Maxwell's Equations | p. 1 |
Constitutive Relations | p. 3 |
Boundary Conditions | p. 3 |
Maxwell's Equations in the Frequency Domain | p. 5 |
Uniqueness Theorem | p. 6 |
Vector Wave Equation of the Electromagnetic Fields | p. 8 |
Vector Integral Equation of the Electromagnetic Fields | p. 8 |
Equivalence Principle | p. 9 |
Solution of Maxwell's Equation in Free Space | p. 11 |
Integral Equations of Metallic Scattering Problems | p. 14 |
Integral Equation of Homogeneous Dielectric Scattering Problems | p. 16 |
Integral Equation of Inhomogeneous Dielectric Scattering Problems | p. 19 |
Integral Equations of Scattering in Layered Medium | p. 20 |
References | p. 28 |
Method of Moments | p. 29 |
Scattering from 3D PEC Objects | p. 29 |
Formulation of the Problem | p. 30 |
Discretization in MoM | p. 30 |
Choice of Basis and Testing Functions | p. 31 |
Discretized Integral Equation (DIE) and the Numerical Behavior Analysis | p. 34 |
Handling of Singularity | p. 36 |
Comparison of EFffi and MFIE | p. 71 |
Interior Resonance Problem | p. 73 |
Fast Multipole Method | p. 74 |
Calculation of Scattered Fields | p. 86 |
Writing Computer Program | p. 89 |
Numerical Examples | p. 94 |
Parallel Technology | p. 100 |
Strong Scalability | p. 106 |
Weak Scalability | p. 107 |
Scattering from Three-Dimensional Homogeneous Dielectric Objects | p. 109 |
Mathematic Formulation of the Problem | p. 111 |
Discretized Forms and Their Numerical Performance | p. 112 |
Numerical Examples | p. 118 |
Implementation of Single Integral Equation and the Numerical Characteristics | p. 122 |
Scattering from Three-Dimensional Inhomogeneous Dielectric Objects | p. 128 |
Mathematic Formulation of the Problem | p. 129 |
Rooftop Basis Functions | p. 130 |
Discretization of the VIE | p. 131 |
Singularity Processing | p. 134 |
Fast Solution of the Discretized VIE | p. 135 |
Numerical Examples | p. 136 |
Essential Points in MoM for Solving Other Problems | p. 136 |
Scattering from Two-Dimensional Objects | p. 138 |
Scattering from Periodic Structures | p. 141 |
Scattering from Two-and-Half-Dimensional Objects | p. 144 |
Radiation Problems | p. 146 |
References | p. 150 |
Finite-Element Method | p. 153 |
Eigenmodes Problems of Dielectric-Loaded Waveguides | p. 153 |
Functional Formulation | p. 154 |
Choice of Basis Functions | p. 159 |
Discretization of the Functional | p. 161 |
Imposition of the Boundary Condition | p. 164 |
Solution of the Generalized Eigenvalue Equation | p. 165 |
Computer Programming | p. 166 |
Numerical Examples | p. 170 |
Discontinuity Problem in Waveguides | p. 170 |
Functional Formulation | p. 171 |
Choice of the Basis Functions | p. 174 |
Discretization of the Functional | p. 176 |
Solution of the Linear Equations | p. 178 |
Extraction of the Scattering Parameters | p. 180 |
Numerical Examples | p. 182 |
Scattering from Three-Dimensional Objects | p. 184 |
Mathematic Formulation of the Problem | p. 184 |
Writing Computer Program | p. 187 |
Numerical Results | p. 190 |
Node-Edge Element | p. 192 |
Construction of Node-Edge Element | p. 192 |
Implementation of Node-Edge Element | p. 193 |
Numerical Examples | p. 195 |
Higher-Order Element | p. 196 |
Finite-Element Time-Domain Method | p. 200 |
More Comments on FEM | p. 203 |
References | p. 205 |
Finite-Difference Time-Domain Method | p. 207 |
Scattering from a Three-Dimensional Objects | p. 207 |
FDTD Solution Scheme | p. 208 |
Perfectly Matched Layers | p. 209 |
Yee Discretizing Scheme | p. 215 |
Discretization of the Scatterer Model | p. 220 |
Treatment on the Curved Boundary | p. 220 |
Determination of the Unit Size and the Time Step | p. 222 |
Plane Waves in Time Domain | p. 223 |
Calculation of Incident Plane Waves in Time Domain | p. 225 |
Calculation of the Radar Cross Section | p. 227 |
Computer Programing and Numerical Examples | p. 229 |
Treatment for Special Problems | p. 233 |
Treatments for Thin Metallic Wires | p. 233 |
Treatments for Dispersive Media | p. 235 |
Treatments for Lumped Elements | p. 237 |
Comparison of the MoM, FEM and FDTD Methods | p. 239 |
References | p. 240 |
Hybrid Methods | p. 243 |
Hybrid High-Frequency Asymptotic Methods and Full-Wave Numerical Methods | p. 244 |
Hybird Physical Optics Method and FEM | p. 244 |
Hybrid Physical Optics Method and Moment Method | p. 248 |
Hybrid Full-Wave Numerical Methods | p. 251 |
Hybrid FE-BI-MLFMA | p. 252 |
Hybrid Method Combining EFIE and MFBE | p. 266 |
Hybrid Method Combining FEM and Mode-Matching Method | p. 271 |
References | p. 276 |
Index | p. 277 |
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