Time Domain Electromagnetics (eBook)

Cover 1
Contents 6
Preface 11
Acknowledgments 11
Contributors 12
Chapter 1. Introduction 14
1.1 An Initial Exploration of Time Domain Phenomena 14
1.2 Modeling Choices in CEM 24
1.3 General Aspects of Time Domain Modeling 28
1.4 Time Domain Integral Equation Modeling 30
1.5 Time Domain Differential Equation Modeling 36
1.6 Specific Issues Related to Time Domain Modeling 48
1.7 Concluding Remarks 55
Acknowledgments 55
Bibliography 55
Chapter 2. Wire Structures: TDIE Solution 62
2.1 Basic Analysis 63
2.2 Analysis of a Straight Wire 65
2.3 Analysis of an Arbitrary Wire 70
2.4 Implicit Solution Scheme 78
2.5 Analysis of Multiple Wires and Wire Junctions 83
2.6 Concluding Remarks 85
Bibliography 85
Chapter 3. Infinite Conducting Cylinders: TDIE Solution 88
3.1 Integral Equation Formulation 89
3.2 Discretization Scheme 90
3.3 TM Incidence: EFIE Formulation 92
3.4 TE Incidence: EFIE Formulation 98
3.5 TE Incidence: HFIE Formulation 104
3.6 Concluding Remarks 107
Bibliography 108
Chapter 4. Finite Conducting Bodies: TDIE Solution 110
4.1 Integral Equation Formulation 110
4.2 Numerical Solution Scheme 112
4.3 Far-Scattered Fields 124
4.4 Near-Scattered Fields 128
4.5 Extrapolation of Time Domain Response 131
4.6 Concluding Remarks 141
Bibliography 141
Chapter 5. Dielectric Bodies: TDIE Solution 144
5.1 Integral Equation Formulation 144
5.2 Two-Dimensional Cylinders 147
5.3 Three-Dimensional Bodies 153
5.4 Numerical Examples 159
5.5 Concluding Remarks 160
Bibliography 162
Chapter 6. Finite-Difference Time Domain Method 164
6.1 Introduction to FDTD 164
6.2 Pulse Propagation in a Lossy, Inhomogeneous, Layered Medium 166
6.3 Remote Sensing of Inhomogeneous, Lossy, Layered Media 177
6.4 Key Elements of FDTD Modeling Theory 181
6.5 FDTD Formulation for Two-Dimensional Closed-Region Problems 184
6.6 FDTD Formulation for Two-Dimensional Open-Region Problems 197
6.7 Plane Wave Source Condition 204
6.8 Near- to Far-Field Transformation 208
6.9 FDTD Modeling of Curved Surfaces 212
6.10 FDTD Formulation for Three-Dimensional Closed-Region Problems 222
6.11 FDTD Formulation for Three-Dimensional Open-Region Problems 234
6.12 Near- to Far-Field Transformation for the Three-Dimensional Case 242
6.13 Computer Resources and ModeUng Implications 245
6.14 Concluding Remarks 246
Acknowledgments 247
Bibliography 247
Chapter 7. Transmission Line Modeling Method 250
7.1 The Two-Dimensional TLM 251
7.2 Three-Dimensional TLM 274
7.3 Special Features in TLM 279
7.4 Numerical Examples 282
7.5 Concluding Remarks 286
Bibliography 287
Chapter 8. Finite-Element Time Domain Method 292
8.1 Introduction 292
8.2 Transverse Magnetic Case 295
8.3 Transverse Electric Case 308
8.4 Concluding Remarks 317
Bibliography 318
Chapter 9. Finite-Volume Time Domain Method 320
9.1 Maxwell's Equations as a Hyperbolic Conservative System 321
9.2 Finite-Volume Discretization of Maxwell's Equations 332
9.3 Hybridization of the FVTD Method with Other Models and Methods 351
9.4 Numerical Examples 370
9.5 Concluding Remarks 376
Acknowledgments 378
Bibliography 378
Index 382