Preface xix

About the Companion Website xxiii

1 Time-Varying and Time-Harmonic Electromagnetic Fields 1

1.1 Introduction 1

1.2 Maxwell's Equations 2

1.3 Constitutive Parameters and Relations 5

1.4 Circuit-Field Relations 7

1.5 Boundary Conditions 12

1.6 Power and Energy 18

1.7 Time-Harmonic Electromagnetic Fields 21

1.8 Multimedia 29

References 29

Problems 30

2 Electrical Properties of Matter 41

2.1 Introduction 41

2.2 Dielectrics, Polarization, and Permittivity 43

2.3 Magnetics, Magnetization, and Permeability 50

2.4 Current, Conductors, and Conductivity 57

2.5 Semiconductors 61

2.6 Superconductors 66

2.7 Metamaterials 68

2.8 Linear, Homogeneous, Isotropic, and Nondispersive Media 69

2.9 A.C. Variations in Materials 70

2.10 Multimedia 92

References 92

Problems 93

3 Wave Equation and Its Solutions 103

3.1 Introduction 103

3.2 Time-Varying Electromagnetic Fields 103

3.3 Time-Harmonic Electromagnetic Fields 105

3.4 Solution to the Wave Equation 106

3.5 Multimedia 125

References 125

Problems 125

4 Wave Propagation and Polarization 127

4.1 Introduction 127

4.2 Transverse Electromagnetic Modes 127

4.3 Transverse Electromagnetic Modes in Lossy Media 142

4.4 Polarization 151

4.5 Multimedia 171

References 171

Problems 172

5 Reflection and Transmission 179

5.1 Introduction 179

5.2 Normal Incidence--Lossless Media 179

5.3 Oblique Incidence--Lossless Media 183

5.4 Lossy Media 204

5.5 Reflection and Transmission of Multiple Interfaces 212

5.6 Polarization Characteristics on Reflection 228

5.7 Metamaterials 235

5.8 Multimedia 253

References 254

Problems 256

6 Auxiliary Vector Potentials, Construction of Solutions, and Radiation and Scattering Equations 271

6.1 Introduction 271

6.2 The Vector Potential A 272

6.3 The Vector Potential F 274

6.4 The Vector Potentials A and F 275

6.5 Construction of Solutions 277

6.6 Solution of the Inhomogeneous Vector Potential Wave Equation 291

6.7 Far-Field Radiation 295

6.8 Radiation and Scattering Equations 296

6.9 Multimedia 317

References 317

Problems 318

7 Electromagnetic Theorems and Principles 323

7.1 Introduction 323

7.2 Duality Theorem 323

7.3 Uniqueness Theorem 325

7.4 Image Theory 327

7.5 Reciprocity Theorem 335

7.6 Reaction Theorem 337

7.7 Volume Equivalence Theorem 338

7.8 Surface Equivalence Theorem: Huygens' Principle 340

7.9 Induction Theorem (Induction Equivalent) 345

7.10 Physical Equivalent and Physical Optics Equivalent 349

7.11 Induction and Physical Equivalent Approximations 351

7.12 Multimedia 356

References 356

Problems 357

8 Rectangular Cross-Section Waveguides and Cavities 365

8.1 Introduction 365

8.2 Rectangular Waveguide 366

8.3 Rectangular Resonant Cavities 396

8.4 Hybrid (LSE and LSM) Modes 404

8.5 Partially Filled Waveguide 407

8.6 Transverse Resonance Method 419

8.7 Dielectric Waveguide 422

8.8 Stripline and Microstrip Lines 450

8.9 Ridged W