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Contents
Preface to the Second Edition
Preface to the First Edition
Main Character£¬ Parameters and The Expressions of Gradient£¬ Divergence£¬ Rotation
Chapter 1 Vector Analysis 1
1.1 Scalar and Vector Fields 1
1.2 Operation of Vector 2
1.3 Flux and Divergence of Vector 7
1.4 Gauss¡¯s Theorem 9
1.5 Vector Circulation and Rotation 10
1.6 Stockes¡¯ Theorem 12
1.7 Gradient of a Scalar Field 14
Exercises 16
Chapter 2 Electrostatic Fields 19
2.1 Electrostatic Field¡¯s Divergence Equation and Rotation Equation 19
2.2 Electric Potential and Electric Potential Gradient 29
2.3 Laplace¡¯s equation and Poisson¡¯s equation 32
2.4 Electric Dipole 33
2.5 Conductors in the Electrostatic Field 36
2.6 Dielectrics in the Electrostatic Field 37
2.7 The Boundary Conditions of the Electrostatic Field 42
2.8 Capacitance of Conductor System 46
2.9 Energy of Electrostatic Field and Electrostatic Force 51
2.10 5 Function and Its Related Properties 59
Exercises 61
Chapter 3 Constant Magnetic Field 65
3.1 The Curl Equation and Divergence Equation of Constant Magnetic Field 65
3.2 Magnetic Vector Potential A and Scalar Magnetic Potential 73
3.3 Magnetic Dipole 76
3.4 Medium in Constant Magnetic Field 78
3.5 Boundary Condition of Constant Magnetic Field 81
3.6 Self Inductance and Mutual Inductance 83
3.7 Magnetic Energy and Magnetic Force 89
Exercises 95
Chapter 4 Steady Electric Field 99
4.1 Current Density 99
4.2 Current Continuity Equation 101
4.3 Steady Electric Fields are Irrotational Fields 101
4.4 Loss of Energy in A Conducting Medium 104
4.5 Boundary Condition of the Steady Electric Field 105
4.6 Analogy of the Steady Electric Field and the Electrostatic Field 106
4.7 Capacitor Considering the Loss of Medium 110
Exercises 111
Chapter 5 Solutions of Electrostatic Field Boundary Value Problem 115
5.1 Electrostatic Field Boundary Value Problems 115
5.2 Uniqueness Theorem 116
5.3 Solving the One-Dimension Field by Integral 119
5.4 Using Separation of Variables to Solve Two-Dimension and Three-Dimension Laplace¡¯s Equation 122
5.5 Image Method 146
5.6 Conformal Transformation£¬ or Called Conformal Mapping 162
5.7 Finite-Difference Method¡ªNumerical Computation Methods 170
5.8 Green¡¯s Function and Green¡¯s First£¬ Second Identities 174
Exercises 176
Chapter 6 Alternating Electromagnetic Fields 181
6.1 Maxwell¡¯s Equations 181
6.2 Law of Induction and Maxwell¡¯s Second Equation 182
6.3 Ampere¡¯s Circuital Law and Maxwell¡¯s First Equation 184
6.4 Gauss¡¯s Law and Maxwell¡¯s Third Equation 188
6.5 Maxwell¡¯s Fourth Equation 188
6.6 Maxwell¡¯s Equations and Auxiliary Equations 190
6.7 Complex Format of Maxwell¡¯s Equations 191
6.8 Boundary Conditions for Alternating Fields 194
6.9 Poynting¡¯s Theorem and Poynting Vector 199
6.10 Potentials and Fields for Alternating Fields 207
6.11 On Lorentz Gauge 210
Exercises 212
Chapter 7 Propagation of Plane Wave in Infinite Medium 215
7.1 Wave Equations and Solutions 215
7.2 Plane Wave in Perfect Dielectric 219
7.3 Polarization of Electromagnetic Wave 227
7.4 Plane Wave in A Conducting Medium 232
7.5 Loss Tangent tan 5 and Medium Category 236
7.6 Plane Wave in A Good Dielectric 237
7.7 Plane Wave in A Good Conductor 239
7.8 Skin Effect 241
7.9 Surface Impedance Zs of A Good Conductor 243
7.10 Power Loss in A Conducting Medium 247
7.11 Dispersive Medium£¬ Dispersive Distortion and Normal Dispersion£¬ Anomalous Dispersion 248
7.12 Electromagnetic Waves in Ferrite Medium 252
Exercises 259
Chapter 8 Reflection and Refraction of Electromagnetic Waves 263
8.1 Plane Wave Normally Incident on the Surface of Perfect Conductor 263
8.2 Plane Wave Normally Incident on the Interface between Perfect Dielectrics 266
8.3 Plane Waves Obliquely Incident upon the Surface of Perfect Conductor 272
8.4 Plane Wave Obliquely Incident upon the Interface between Perfect Dielectrics 278
8.5 Reflection and Refraction of Waves on the Interface between Conductive Media 299
8.6 Plane Waves Normally Incident upon the Interfaces among Multi-layered Media 301
8.7 On the Multiformity of the Definitions of Fresnel Equations (R£¬ T) 303
Exercises 308
Chapter 9 Two-Conductor Transmission Lines¡ª¡ªTransverse Electromagnetic Wave Guiding System 313
9.1 Introduction 313
9.2 Properties of Wave Equations for TEM Waves 314
9.3 Parallel-Plate Transmission System 315
9.4 Two-Wire Transmission Lines 320
9.5 Coaxial Cable 338
9.6 Quasi-TEM Waves in Lossy Transmission Lines 342
Exercises 344
Chapter 10 TE and TM Modes Transmission System¡ª¡ªWaveguide 347
10.1 Rectangular Waveguide 347
10.2 Circular Waveguide 368
10.3 Higher Modes in Coaxial Line 378
Exercises 380
Chapter 11 Electromagnetic Radiation 383
11.1 Lag Potential of Alternating Field 383
11.2 Electric Dipole 389<