Brief Introduction The book aims to cultivate students’ interest in professional basic theories and broaden their horizons, and gradually explains the basic theories and analysis methods of electromagnetic fields and electromagnetic waves. The book is divided into eight chapters, which enhance the readability of the book through appropriate introduction of cases and reading materials. This book uses physical concepts to explain theoretical results and mathematical derivations, in order to reduce the difficulty of learning it. The book also provides many examples and exercises to help readers gain a deeper understanding and mastery of the relevant knowledge points. The book is a direct translation of our previously published books on electromagnetic fields and waves to meet the demand for bilingual teaching and learning textbooks in English. The book is widely used. It can be used as a professional textbook for undergraduate students majoring in science and engineering in universities. It can also be used as a reference book for engineering and technical personnel in the fields of electronic information engineering, electrical engineering, communication engineering, and control science and engineering.

Chapter 1 Vector analysis and fundamentals of field theory 1 1.1 Vector fundamentals 3 1.2 Scalar fields 6 1.3 Vector fields 9 1.4 Green’s theorem and Helmholtz’s theorem 17 Summary of this chapter 19 Exercises 1 19 Chapter 2 Electrostatic fields 22 2.1 Electrostatic fields in vacuum 26 2.2 Electrostatic fields in dielectrics 40 2.3 Fundamental equations and boundary conditions of electrostatic fields 49 2.4 Poisson’s equation, Laplace’s equation and uniqueness theorem 55 2.5 Method of images 58 2.6 Capacitance and partial capacitance 62 2.7 Electrostatic energy and electrostatic force 67 Summary of this chapter 75 Exercises 2 76 Chapter 3 Steady electric fields 81 3.1 Current and current density 84 3.2 Fundamental equations and boundary conditions of steady electric fields 87 3.3 Energy dissipation and electromotive force 90 3.4 Electrostatic analogy 94 3.5 Conductance and resistance 96 Summary of this chapter 101 Exercises 3 101 Chapter 4 Constant magnetic fields 103 4.1 Constant magnetic fields in vacuum 107 4.2 Constant magnetic fields in magnetic media 113 4.3 Fundamental equations and boundary conditions of constant magnetic fields 119 4.4 Vector magnetic potential and scalar magnetic potential 123 4.5 Inductance 132 4.6 Magnetic field energy and magnetic field force 138 Summary of this chapter 146 Exercise 4 147 Chapter 5 Time-varying electromagnetic fields 152 5.1 Faraday’s law of electromagnetic induction and law of total currents 154 5.2 Maxwell’s equations 160 5.3 Dynamic scalar and vector potentials 163 5.4 Poynting’s theorem and Poynting vector 167 5.5 The uniqueness theorem of time-varying electromagnetic fields 169 5.6 Time-harmonic electromagnetic fields 171 Summary of this chapter 178 Exercises 5 178 Chapter 6 Plane electromagnetic waves 182 6.1 Wave equations 184 6.2 Uniform plane waves in perfect dielectrics 186 6.3 Plane waves in arbitrary direction 195 6.4 Plane waves in conducting medium 198 6.5 Polarization characteristics of plane waves 204 6.6 Normal incidence on a planar surface 208 6.7 Normal incidence at multiple boundaries 216 Summary of this chapter 220 Exercises 6 221 Chapter 7 Guided electromagnetic waves 224 7.1 Introduction to guided electromagnetic waves 226 7.2 Rectangular metal waveguides 230 7.3 Circular metal waveguides 238 7.4 Coaxial waveguides 245 Summary of this chapter 247 Exercises 7 248 Chapter 8 Electromagnetic radiation 251 8.1 Radiation of an electric dipole 253 8.2 Radiation of a magnetic dipole 258 8.3 Basic parameters of antennas 260 8.4 Symmetrical antenna 264 Summary of this chapter 266 Exercises 8 267 Reference 269