目錄
Introduction and Survey
1.1 Maxwell Equations in Vacuum, Fields, and Sources
1.2 Inverse Square Law, or the Mass of the Photon
1.3 Linear Superposition
1.4 Maxwell Equations in Macroscopic Media
1.5 Boundary Conditions at Interfaces Between Different Media
1.6 Some Remarks on Idealizations in Electromagnetism
References and Suggested Reading
Chapter 1 Introduction to Electrostatics
1.1 Coulomb's Law
1.2 Electric Field
1.3 Gauss's Law
1.4 Differential Form of Gauss's Law
1.5 Another Equation of Electrostatics and the Scalar Potential
1.6 Surface Distributions of Charges and Dipoles and Discontinuities in the Electric Field and Potential
1.7 Poisson and Laplace Equations
1.8 Green's Theorem
1.9 Uniqueness of the Solution with Dirichlet or Neumann Boundary Conditions
1.10 Formal Solution of Electrostatic Boundary-Value Problem with Green Function
1.11 Electrostatic Potential Energy and Energy Density; Capacitance
1.12 Variational Approach to the Solution of the Laplace and Poisson Equations
1.13 Relaxation Method for Two-Dimensional Electrostatic Problems
References and Suggested Reading
Problems
Chapter 2 Boundary-Value Problems in Electrostatics: Ⅰ
2.1 Method of Images
2.2 Point Charge in the Presence of a Grounded Conducting Sphere
2.3 Point Charge in the Presence of a Charged, Insulated, Conducting Sphere
2.4 Point Charge Near a Conducting Sphere at Fixed Potential
2.5 Conducting Sphere in a Uniform Electric Field by Method of Images
2.6 Green Function for the Sphere; General Solution for the Potential
2.7 Conducting Sphere with Hemispheres at Different Potentials
2.8 Orthogonal Functions and Expansions
2.9 Separation of Variables; Laplace Equation in Rectangular Coordinates
2.10 A Two-Dimensional Potential Problem; Summation of Fourier Series
2.11 Fields and Charge Densities in Two-Dimensional Corners and Along Edges
2.12 Introduction to Finite Element Analysis for Electrostatics
References and Suggested Reading
Problems
Chapter 3 Boundary-Value Problems in Electrostatics: Ⅱ
3.1 Laplace Equation in Spherical Coordinates
3.2 Legendre Equation and Legendre Polynomials
3.3 Boundary-Value Problems with Azimuthal Symmetry
3.4 Behavior of Fields in a Conical Hole or Near a Sharp Point
3.5 Associated Legendre Functions and the Spherical Harmonics Ylm(θ, φ)
3.6 Addition Theorem for Spherical Harmonics
3.7 Laplace Equation in Cylindrical Coordinates; Bessel Functions
3.8 Boundary-Value Problems in Cylindrical Coordinates
3.9 Expansion of Green Functions in Spherical Coordinates
3.10 Solution of Potential Problems with the Spherical Green Function Expansion
3.11 Expansion of Green Functions in Cylindrical Coordinates
3.12 Eigenfunction Expansions for Green Functions
3.13 Mixed Boundary Conditions, Conducting Plane with a Circular Hole
References and Suggested Reading
Problems
Chapter 4 Multipoles, Electrostatics of Macroscopic Media,Dielectrics
4.1 Multipole Expansion
4.2 Multipole Expansion of the Energy of a Charge Distribution in an External Field
4.3 Elementary Treatment of Electrostatics with Ponderable Media
4.4 Boundary-Value Problems with Dielectrics
4.5 Molecular Polarizability and Electric Susceptibility
4.6 Models for Electric Polarizability
……
Chapter 5 Magnetostatics,Faraday's Law,Quasi-Static Fields
Chapter 6 Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws
Chapter 7 Plane Electromagnetic Waves and Wave Propagation
Chapter 8 Waveguides, Resonant Cavities, and Optical Fibers
Chapter 9 Radiating Systems, Multipole Fields and Radiation
Chapter 10 Scattering and Diffraction
Chapter 11 Special Theory of Relativity
Chapter 12 Dynamics of Relativistic Particles and Electromagnetic Fields
Chapter 13 Collisions, Energy Loss, and Scattering of Charged Particles, Cherenkov and Transition Radiation
Chapter 14 Radiation by Moving Charges
Chapter 15 Bremsstrahlung, Method of Virtual Quanta, Radiative Beta Processes
Chapter 16 Radiation Damping, Classical Models of Charged Particles
Appendix on Units and Dimensions
Bibliography
Index
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