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Chapter 1 Vector Analysis 1

1-1 Scalars and vectors 1

1-2 Vector algebra 2

1-3 Scalar and vector products 4

1-4 Directional derivative and gradient 6

1-5 Flux,divergence and divergence theorem 10

1-6 Circulation,curl and curl theorem 16

1-7 Solenoidal and irrotational fields 20

1-8 Green's theorems 22

1-9 Uniqueness theorem for vector fields 24

1-10 Helmholtz's theorem 26

1-11 Orthogonal curvilinear coordinates 29

Chapter summary 38

Review questions 39

Problems 40

Chapter 2 Static Electric Fields 43

2-1 Electric field intensity 43

2-2 Electrostatic fields in vacuum 45

2-3 Electric potential 55

2-4 Polarization of dielectrics 58

2-5 Electrostatic fields in dielectric 63

2-6 Boundary conditions for electrostatic fields 67

2-7 Capacitance 73

2-8 Energy in electrostatic field 77

2-9 Electric forces 81

2-10 Applications of electrostatic fields 86

Chapter summary 89

Review questions 91

Problems 92

Chapter 3 Boundary-Value Problems in Electrostatic Fields 97

3-1 Differential equations for electric potential 98

3-2 Uniqueness of solution of differential equations for electric potential 102

3-3 Method of images 104

3-4 Method of separation of variables in rectangular coordinates 112

3-5 Method of separation of variables in cylindrical coordinates 116

3-6 Method of separation of variables in spherical coordinates 120

Chapter summary 125

Review questions 126

Problems 127

Chapter 4 Steady Electric Current Fields 132

4-1 Electric current 133

4-2 Electromotive force 136

4-3 Steady electric current fields 139

4-4 Boundary conditions for steady electric current fields 141

4-5 Energy dissipation in conducting media 142

4-6 Electrostatic simulation 145

4-7 Applications of steady electric current fields 148

Chapter summary 151

Review questions 152

Problems 152

Chapter 5 Static Magnetic Fields 155

5-1 Magnetic flux density 155

5-2 Static magnetic fields in vacuum 158

5-3 Magnetic potentials 165

5-4 Magnetization of media 166

5-5 Static magnetic fields in media 171

5-6 Boundary conditions for static magnetic fields 174

Chapter summary 179

Review questions 181

Problems 181

Chapter 6 Electromagnetic Induction 185

6-1 Law of electromagnetic induction 185

6-2 Inductances 188

6-3 Energy in static magnetic fields 194

6-4 Magnetic forces 199

6-5 Applications of static magnetic field 204

Chapter summary 209

Review questions 210

Problems 210

Chapter 7 Time-varying Electromagnetic Fields 213

7-1 Displacement electric current 213

7-2 Maxwell's equations 216

7-3 Boundary conditions for time-varying electromagnetic fields 219

7-4 Scalar and vector potentials 223

7-5 Solution of equations for potentials 226

7-6 Energy density and energy flow density vector 230

7-7 Uniqueness theorem for time-varying electromagnetic fields 232

7-8 Sinusoidal electromagnetic fields 234

7-9 Complex Maxwell's equations 235

7-10 Complex potential functions 236

7-11 Complex energy flow density vector 238

7-12 Applications of time-varying electromagnetic fields 242

Chapter summary 244

Review questions 248

Problems 248

Chapter 8 Plane Electromagnetic Waves 251

8-1 Wave equations 251

8-2 Plane waves in perfect dielectrics 253

8-3 Plane waves in conducting media 260

8-4 Polarizations of plane waves 267

8-5 Normal incidence on a planar surface 272

8-6 Normal incidence at multiple boundaries 278

8-7 Plane waves in arbitrary directions 283

8-8 Oblique incidence at boundary between perfect dielectrics 286

8-9 Null and total reflections 290

8-10 Oblique incidence at conducting boundary 295

8-11 Oblique incidence at perfect conducting boundary 298

8-12 Plane waves in plasma 301

8-13 Plane waves in ferrite 305

8-14 Applications of electromagnetic waves 307

Chapter summary 318

Review questions 321

Problems 322

Chapter 9 Guided Electromagnetic Waves 327

9-1 TEM wave,TE wave,and TM wave 328

9-2 Transmission property of rectangular waveguides 332

9-3 TE10 wave in rectangular waveguides 341

9-4 Group velocity 347

9-5 Transmission property of circular waveguides 350

9-6 Transmitted power and loss in waveguides 357

9-7 Resonant cavity 361

9-8 Coaxial lines 367

9-9 Applications of guided waves 369

Chapter summary 370

Review questions 372

Problems 373

Chapter 10 Electromagnetic Radiation and Principles 375

10-1 Radiation by electric current element 375

10-2 Directivity of antennas 382

10-3 Radiation by symmetrical antennas 385

10-4 Radiation by antenna arrays 389

10-5 Radiation by electric current loop 394

10-6 Principle of duality 398

10-7 Principle of image 400

10-8 Principle of reciprocity 405

10-9 Huygens' principle 409

10-10 Radiations by aperture antennas 413

10-11 Applications of electromagnetic radiation 419

Chapter summary 427

Review questions 429

Problems 430

Appendixes 433

1．Symbols,units and dimensions of physical quantities 433

2．Decimal multiples and submultiples and their prefixes 435

3．Vector identities 435

4．Orthogonal coordinates system 437

5．δ functions 439

6．Bessel functions 439

7．Legendre functions 442

8．Frequency bands and their utilizations 445

Answers 447

Index 464

References 471

Biographies 473