Applied Frequency-Domain Electromagnetics

1. Auflage 2016
ISBN: 978-1-118-94056-3
Verlag: John Wiley & Sons

Buch, Englisch, 511 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 1056 g

Understanding electromagnetic wave theory is pivotal in the design of antennas, microwave circuits, radars, and imaging systems. Researchers behind technology advances in these and other areas need to understand both the classical theory of electromagnetics as well as modern and emerging techniques of solving Maxwell's equations. To this end, the book provides a graduate-level treatment of selected analytical and computational methods.

The analytical methods include the separation of variables, perturbation theory, Green's functions, geometrical optics, the geometrical theory of diffraction, physical optics, and the physical theory of diffraction. The numerical techniques include mode matching, the method of moments, and the finite element method. The analytical methods provide physical insights that are valuable in the design process and the invention of new devices. The numerical methods are more capable of treating general and complex structures. Together, they form a basis for modern electromagnetic design.

The level of presentation allows the reader to immediately begin applying the methods to some problems of moderate complexity. It also provides explanations of the underlying theories so that their capabilities and limitations can be understood.

Autoren/Hrsg.

Paknys, Robert

Inhaltsverzeichnis

Preface xv

Acknowledgements xvii

1 Background 1

1.1 Field Laws 1

1.2 Properties of Materials 2

1.3 Types of Currents 3

1.4 Capacitors, Inductors 4

1.5 Differential Form 6

1.6 Time-Harmonic Fields 8

1.7 Sufficient Conditions 9

1.8 Magnetic Currents, Duality 9

1.9 Poynting's Theorem 10

1.10 Lorentz Reciprocity Theorem 13

1.11 Friis and Radar Equations 14

1.12 Asymptotic Techniques 16

1.13 Further Reading 17

References 18

Problems 18

2 TEM Waves 21

2.1 Introduction 21

2.2 Plane Waves 22

2.3 Oblique Plane Waves 28

2.4 Plane Wave Reflection and Transmission 29

2.5 Multilayer Slab 36

2.6 Impedance Boundary Condition 38

2.7 Transmission Lines 44

2.8 Transverse Equivalent Network 60

2.9 Absorbers 62

2.10 Phase and Group Velocity 63

2.11 Further Reading 65

References 66

Problems 66

3 Waveguides 71

3.1 Separation of Variables 71

3.2 Rectangular Waveguide 73

3.3 Cylindrical Waves 80

3.4 Circular Waveguide 81

3.5 Waveguide Excitation 84

3.6 2D Waveguides 85

3.7 Transverse Resonance Method 94

3.8 Other Waveguide Types 98

3.9 Waveguide Discontinuities 101

3.10 Mode Matching 107

3.11 Waveguide Cavity 114

3.12 Perturbation Method 121

3.13 Further Reading 127

References 127

Problems 127

4 Potentials, Concepts, and Theorems 135

4.1 Vector Potentials A and F 135

4.2 Hertz Potentials 140

4.3 Vector Potentials and Boundary Conditions 141

4.4 Uniqueness Theorem 148

4.5 Radiation Condition 151

4.6 Image Theory 151

4.7 Physical Optics 153

4.8 Surface Equivalent 154

4.9 Love’s Equivalent 158

4.10 Induction Equivalent 161

4.11 Volume Equivalent 162

4.12 Radiation by Planar Sources 164

4.13 2D Sources and Fields 165

4.14 Derivation of Vector Potential Integral 168

4.15 Solution Without Using Potentials 170

4.16 Further Reading 171

References 171

Problems 172

5 Canonical Problems 177

5.1 Cylinder 177

5.2 Wedge 184

5.3 The Relation Between 2D and 3D Solutions 188

5.4 Spherical Waves 192

5.5 Method of Stationary Phase 199

5.6 Further Reading 201

References 202

Problems 202

6 Method of Moments 209

6.1 Introduction 209

6.2 General Concepts 209

6.3 2D Conducting Strip 212

6.4 2D Thin Wire MoM 220

6.5 Periodic 2D Wire Array 224

6.6 3D Thin Wire MoM 228

6.7 EFIE and MFIE 234

6.8 Internal Resonances 236

6.9 PMCHWT Formulation 237

6.10 Basis Functions 238

6.11 Further Reading 240

References 240

Problems 241

7 Finite Element Method 245

7.1 Introduction 245

7.2 Laplace’s Equation 246

7.3 Piecewise-planar Potential 246

7.4 Stored Energy 248

7.5 Connection of Elements 248

7.6 Energy Minimization 250

7.7 Natural Boundary Conditions 252

7.8 Capacitance, Inductance 255

7.9 Computer Program 257

7.10 Poisson’s Equation 258

7.11 Scalar Wave Equation 262

7.12 Galerkin’s Method 266

7.13 Vector Wave Equation 270

7.14 Other Element Types 270

7.15 Radiating Structures 274

7.16 Further Reading 278

References 278

Problems 278

8 Uniform Theory of Diffraction 283

8.1 Fermat’s Principle 283

8.2 2D Fields 284

8.3 Scattering and GTD 292

8.4 3D Fields 294

8.5 Curved Surface Reflection 306

8.6 Curved Wedge Face 308

8.7 Non-Metallic Wedge 308

8.8 Slope Diffraction 309

8.9 Double Diffraction 310

8.10 GTD Equivalent Edge Currents 311

8.11 Surface-Ray Diffraction 315

8.12 Further Reading 324

Über Autor(innen)

Prof Robert Paknys, Concordia University, Canada
Robert Paknys received the B.Eng. Degree from McGill University in 1979, and the M.Sc. and Ph.D. degrees from Ohio State University in 1982 and 1985, respectively, all in electrical engineering. He joined the Concordia ECE Department as a faculty member in 1989, and is a full professor. He served the department as the undergraduate program director, associate chair, and department chair. He teaches courses in electromagnetics, antennas and microwaves. His research interest is in electromagnetics, with applications to antennas. He has served as a consultant to the government and industry. Dr. Paknys is a member of ACES, a member of CNC-URSI Commission B, a senior member of the IEEE, a registered professional engineer, and a past associate editor (2004-2010) for the IEEE Transactions on Antennas and Propagation.