CHAPTER 1

VECTOR ANALYSIS

1.1 Vector Addition 1

1.2 Vector Multiplication 2

1.3 Coordinate Systems 4

1.4 Circulation and Flux 9

1.5 Divergence 13

1.6 Gradient 17

1.7 Curl 20

1.8 Some Fundamental Vector Identities 24

1.9 The Divergence Theorem 26

1.10 Stokes Theorem 28

1.1 1 Concluding Remarks 30

CHAPTER 2

ELECTROSTATIC AND MAGNETOSTATIC FIELDS

2.1 Charge Configurations 35

2.2 Coulombs Law and Electric Field Intensity 37

2.3 The Electrostatic Potential Field 47

2.4 Gausss Law 53

2.5 Dielectrics 56

2.6 Poisson and Laplace Equations 61

2.7 Image Theory 67

2.8 Electric Current and Conservation of Charge 69

2.9 The Biot-Savart Law and Magnetic Field Intensity 72

2.10 Amperes Circuital Law 80

2.11 Amperes Law in Point Form (Maxwells Equation) 85

2.12 Magnetic Scalar and Vector Potential 87

2.13 Magnetic Materials 91

2.14 Force and Torque 100

2.15 Capacitance, Resistance, and Inductance 102

2.16 Concluding Remarks 111

CHAPTER 3

MAXINELLS EOUATIONS

3.1 Conservation of Charge 126

3.2 Other Field Quantities 128

3.3 Faradays Law 130

3.4 Maxwells Second Equation 137

3.5 A Summary of Maxwells Equations 140

3.6 Poyntings Theorem 143

3.7 Potentials 150

3.8 Voltage and Potential Difference 159

3.9 Boundary Conditions 159

3.10 Circuit Theory from Field Theory 162

3.1 1 Concluding Remarks 165

CHAPTER 4

UNIFORM PLANE WVE PROPAGATION

4.1 The Undamped Uniform Plane Wave 172

4.2 Wavelength and Phase Velocity 178

4.3 Power Density and Velocity of Energy Flow 179

4.4 Wave Impedance 180

4.5 Uniform Damped Plane Waves 183

4.6 Reflection of Plane Waves, Normal Incidence 187

4.7 Oblique Incidence 205

4.8 Polarization 217

4.9 Dispersion 220

4.10 Concluding Remarks 220

CHAPTER 5

TRANSMISSION LINES: TEM MODES

5.1 The Parallel Plane Guiding System 228

5.2 The General Lossless Line 230

5.3 The Lossless Line Equivalent Circuit 234

General Solutions for V and I-Lossless Line 238

Voltage Standing Wave Ratio 243

Input Impedance 244

Special Load Impedances 246

Transmission Parameters 252

Multiple Loads 254

Transmission Line Measurements 256

The Smith Chart 257

Transmission Line Matching 268

Pulses on the Lossless Line 278

Losses 281

Special Two-Wire Lines 287

Quality Factor 290

Distributed Parameters 299

The Coaxial Cavity 302

Concluding Remarks 307

CHAPTER 6

WVEGUIDES AND CAVITIES

6.1 The Rectangular Waveguide, TElo Mode 317

6.2 Properties of the TElo Mode 320

6.3 Waveguide Current, TElo Mode 329

6.4 Waveguide Vector Potentials 334

6.5 The Rectangular Waveguide, Higher Order Modes 337

6.6 Dielectric Waveguides 345

6.7 Lossless Cavity Resonators 355

6.8 Waveguide and Cavity Losses 358

6.9 Concluding Remarks 366