封面 书名页 版权页 前言 目录页 Chapter 1 Mathematical Foundations 1.1 Fields in E^3 1.1.1 Symbol Conventions 1.1.2 Coordinate Transformations 1.1.3 Scalar,Vector and Tensor 1.1.4 Pseudo Scalar and Pseudo Vector 1.2 Vector Calculus in E^3 1.2.1 Derivatives in E^3 1.2.2 Differentiation of Fields 1.2.3 Second Derivatives of Fields 1.2.4 Helmholtz Theorem Chapter 2 Electromagnetic Phenomenon 2.1 Electrostatics 2.1.1 The Electric Field 2.1.2 Equations of Electrostatic Fields 2.1.3 Electric Scalar Potential 2.2 Magnetostatics 2.2.1 Charge Conservation 2.2.2 Magnetic Field 2.2.3 Equations of Magnetostatic Fields 2.2.4 Magnetic Vector Potential 2.3 Maxwell's Equations 2.3.1 Electrodynamics Before Maxwell 2.3.2 Maxwell's Equations 2.3.3 Magnetic Charges and Symmetry 2.4 Maxwell's Equations in Dielectrics 2.4.1 Polarization 2.4.2 Magnetization 2.4.3 Maxwell's Equations in Matter 2.5 Boundary Conditions 2.5.1 Normal Direction 2.5.2 Tangent Direction 2.6 Energy and Momentum of Electromagnetic Field 2.6.1 Energy Conservation,Poynting's Theorem 2.6.2 Momentum Conservation 2.6.3 Uniqueness Theorem in Electromagnetism 2.6.4 Divergence of Point-Charge Self-Energy Problems Chapter 3 Electrostatics 3.1 Electrostatic Field and Scalar Potential 3.2 Electric Potential 3.3 Uniqueness Theorems 3.3.1 Uniqueness Theorem in Dielectrics 3.3.2 Conductors and the Second Uniqueness Theorem 3.4 Separation of Variables 3.4.1 Cartesian Coordinates 3.4.2 Spherical Coordinates 3.4.3 Cylindrical Coordinates 3.5 The Method of Images 3.6 Method of Green's Function 3.6.1 Green's Function 3.6.2 Green's Formula and Boundary Value Problems 3.6.3 Interchanging Symmetry of Green's Functions 3.6.4 Examples 3.7 Surface Charge Density,Coulomb's Law and Poisson's Equation 3.7.1 A General Discussion 3.7.2 Examples 3.8 Multipole Expansion 3.8.1 Expansion in Cartesian Coordinates 3.8.2 Expansion in Spherical Coordinates 3.8.3 Energy of a Charge Distribution in External Fields Problems Chapter 4 Magnetostatics 4.1 Magnetic Vector Potential 4.1.1 Gauge Conditions 4.1.2 Differential Equation 4.1.3 Boundary Conditions 4.1.4 Energy of Magnetostaic Fields 4.1.5 Examples 4.2 Uniqueness Theorem 4.3 Magnetic Scalar Potential 4.3.1 Differential Equations 4.3.2 Boundary Conditions 4.3.3 Examples 4.4 A Parallel Discussion of Sec.3.7 4.4.1 A General Discussion 4.4.2 Examples 4.5 Magnetic Monopole and Singular String 4.5.1 Singular String 4.5.2 Some Details 4.6 Multipole Expansion 4.6.1 Expansion in Cartesian Coordinates 4.6.2 Expansion in Spherical Coordinates 4.6.3 Energy of a Current Distribution in External Magnetic Fields 4.7 Aharonov-Bohm Effect Problems Chapter 5 Electromagnetic Waves 5.1 Electromagnetic Wave in Free Space 5.1.1 Wave Equations 5.1.2 Planar Waves 5.1.3 Energy and Momentum of EM Waves 5.2 Reflection and Transmission of EM Waves 5.2.1 Law of Reflection and Refraction 5.2.2 Fresnel's Formula 5.2.3 Brewster's Angle 5.2.4 Total Reflection 5.3 EM Waves in Conductors 5.3.1 Perfect and Good Conductors 5.3.2 Wave Equations in Good Conductors 5.3.3 Reflection and Transmission on a Conducting Surface 5.4 Cavity Resonator 5.4.1 Cuboid Resonator 5.4.2 Microsphere Resonator 5.5 Wave Guide 5.5.1 Rectangular Waveguide 5.5.2 Wave Mode 5.5.3 Cut-off Frequency 5.5.4 Wave Velocities 5.5.5 Physical Picture of TE_(10)Mode Problems Chapter 6 Radiation 6.1 The Potential Formation 6.1.1 Vector and Scalar Potentials 6.1.2 Gauge Invariance 6.1.3 Differential Equations for Potentials 6.2 Potential Formulation with Magnetic Charge 6.3 Retarded Potential 6.4 Method of Green's Function 6.5 Diffraction 6.5.1 Green's Function 6.5.2 Fresnel-Kirchhoff Diffraction Formula 6.5.3 Fraunhofer's Diffraction 6.6 Radiation 6.6.1 Theoretical Foundation 6.6.2 Multipole Expansion 6.6.3 Electric Dipole Radiation 6.6.4 Magnetic Dipole and Electric Quadrupole Radiation 6.7 Antenna Radiation 6.7.1 Semi-wave Antenna 6.7.2 Antenna Array Problems Chapter 7 Special Relativity 7.1 Prerelativity Physics 7.1.1 Principle of Relativity 7.1.2 Principle of Covariance 7.2 Relativity 7.2.1 Inconsistency with Galilean Transformations 7.2.2 Postulates of the Special Relativity 7.3 Spacetime in Special Relativity 7.3.1 Revisit of Principle of Covariance 7.3.2 Geometric Invariant of Spacetime 7.3.3 Structure of Spacetime 7.3.4 The Geometry of Relativity 7.3.5 Minkowski Spacetime 7.3.6 Lorentz Transformations 7.3.7 Velocity-Addition Rule 7.3.8 Minkowski Scalars,Vectors and Tensors 7.4 Maxwell's Equations in Minkowski Spacetime 7.4.1 Electromagnetic Fields in Minkowski Spacetime 7.4.2 Maxwell's Equations 7.5 Maxwell's Equations with Magnetic Charge 7.5.1 Strength Tensors 7.5.2 Maxwell's Equations 7.6 Relativistic Mechanics 7.6.1 Momentum and Energy 7.6.2 Relativistic Dynamics 7.6.3 Lorentz Force 7.6.4 Phase and Group Velocities of Relativistic Quantum Particles 7.7 Classic Field Theory for Charged Particles 7.7.1 Uncharged Particles 7.7.2 Charged Particles Problems Chapter 8 Interactions between Charged Particles and Electromagnetic Fields 8.1 Electromagnetic Fields of a Moving Point Charge 8.1.1 Lienard-Wiechert Potentials 8.1.2 Electric and Magnetic Fields 8.2 Radiations of Charged Particles in Accelerated Motions 8.2.1 Radiation Power and Angular Distribution 8.2.2 Discussions 8.2.3 Formula of the Radiation Power 8.3 Spectrum Analysis of Radiations 8.3.1 Spectrum Analysis 8.3.2 Radiation Spectrum of Moving Charged Particles 8.4 Self Interaction between Charged Particle and Its Electromagnetic Field 8.4.1 Radiation Damp Force 8.4.2 Natural Width of Spectral Lines 8.5 Scattering,Absorption and Dispersion 8.5.1 Thomson Scattering 8.5.2 Scattering by Bound Electron 8.5.3 Resonant Absorption 8.5.4 Dispersive Medium 8.5.5 Limitation of Classical Electrodynamics Problems Reference 附录A Vector Analysisin E^3 A.1 Collection of Formulae for Gradient A.2 Affine Coordinate System A.3 Coordinate Transformation A.4 Calculus in Curvilinear Coordinate Systems A.5 Examples A.5.1 Spherical Coordinates A.5.2 Cylindrical Coordinates A.6 Special Functions A.6.1 Lengdre Polynomials and Spherical Harmonics A.6.2 Bessel Functions A.6.3 Spherical Bessel Functions 附录B Delta Function and Step Function B.1 Delta Function B.2 Step Function 附录C Jordan's Lemma 附录D 中英文物理名词对照表 ..更多