Classical Theory of Electromagnetism

The following sections are included:

• Contents

• Foreword

• Preface to the Second Edition

• Preface to the First Edition

The following sections are included:

• Vector Notation

• Fields

• Vector Differential Operator

• Gauss's Theorem and Related Theorems
  • The Gradient Theorem
  • The Divergence Theorem
  • The Curl Theorem
  • Green's Theorem
  • Stokes's Theorem

• CHAPTER 1 EXERCISES

The following sections are included:

• Basic Phenomena
  • The Superposition Principle
  • The Symmetry Principle

• Units
  • The Electrostatic System of Units (ESU)
  • The International System of Units (SI)

• The Gauss Flux Theorem and the First Maxwell Equation

• Singular and General Charge Distributions

• Some Potential Theory

• Properties of Spherical Harmonics
  • Normalization
  • Orthogonality
  • Symmetry
  • Examples
  • Legendre Polynomials, Pι (cosθ)

• The Mean Value Theorem

• Conductors and Insulators

• General Electrostatic Problems
  • Dirichlet Boundary Value Problem
  • Neumann Boundary Value Problem

• Forces and the Stress Tensor

• The Field Energy

• Earnshaw's Theorem

• Thompson's Theorem

• Polarization

• Field Energy in a Dielectric with Constant K

• Field Energy in a Dielectric for Which K = K(x)

• Forces on a Dielectric

• The Stress Tensor

• Capacitance

• CHAPTER 2 EXERCISES

The following sections are included:

• Lorentz Force and the Biot and Savart Law
  • The Force Law
  • The Biot and Savart Law

• Forces between Current Loops

• Units
  • The Electromagnetic System of Units (EMU)
  • The SI System of Units
  • The Gaussian System of Units

• The Vector Potential

• Forces and the Magnetic Stress Tensor

• Magnetic Media
  • Paramagnetic Materials
  • Diamagnetic Materials

• B and H

• CHAPTER 3 EXERCISES

The following sections are included:

• Effect of Time Variations on ∇ × B and ∇ × H

• Induction Phenomena

• Temporal Variation of a Flux through a Moving Surface Element

• Differential Formulation of the Law of Induction

• Quasi-Stationary Phenomena

• Self-Inductance and Mutual Inductance

• About Units

• CHAPTER 4 EXERCISES

The following sections are included:

• Introduction

• Field Equations, Forces Acting on Charged Matter, and Conservation Laws

• Conservation Laws for the Macroscopic Case

• Energy and Momentum Conservation in General

• Complex Field

• Electromagnetic Waves in Vacuum and in Continuous Media

• Radiation Pressure

• Reflection of Waves

• Electromagnetic Waves in a Conducting Medium

• Electromagnetic Potentials and Gauge Transformations

• CHAPTER 5 EXERCISE

The following sections are included:

• Principle of Relativity in Mechanics and Electrodynamics
  • Galileian Transformation

• The Search for an Absolute Frame Tied to the Ether

• Einstein's Postulates

• Lorentz Transformation

• Lorentz Contraction, Time Dilation, and Addition of Velocities

• Minkowski Notation

• General Lorentz Transformation

• Scalars, Vectors, and Tensors in Four Dimensions

• Four-Velocity, Four-Acceleration, and Proper Time

• Lorentz-Covariant Form of the Potential Equations

• Plane Waves

• The Twin Paradox

• CHAPTER 6 EXERCISES

The following sections are included:

• Lorentz Transformation and E and B Fields

• Charged Mass Point in Electromagnetic Field. Minkowski Force

• Gauss's Theorem in Four Dimensions

• Electromagnetic Energy–Momentum Tensor

• Green's Functions for the Potential Equations

• Retarded, Advanced, and Symmetrical Potentials

• CHAPTER 7 EXERCISES

The following sections are included:

• Liénard–Wiechert Potentials of a Moving Point Charge

• Fields of a Moving Point Charge

• Fields of a Slow-Moving Point Charge
  • General Case
  • Small Periodic Oscillations in One Dimension

• Radiation from a Moving Charged Particle
  • Parallel Velocity and Acceleration
  • Perpendicular Velocity and Acceleration

• Synchrotron Radiation

• CHAPTER 8 EXERCISES

The following sections are included:

• Introduction

• Evaluation of the Self-Force and Radiation Damping

• Energy Loss by Radiation. Application to Periodic Motion

• Forced Vibrations

• Scattering of Radiation
  • Rayleigh Scattering
  • Thomson Scattering
  • Resonance Scattering

• CHAPTER 9 EXERCISES

The following sections are included:

• Multipole Expansion

• Electric and Magnetic Multipoles

• Multipole Expansion Using Spherical Harmonics

• Angular Distribution of Multipole Radiation

• CHAPTER 10 EXERCISES

The following sections are included:

• Outline of Classical Mechanics

• Lagrangian Formulation of the Motion of a Charged Particle in Given Fields

• Hamiltonian Formulation of the Motion of a Charged Particle in Given Fields

• Lagrangian Formulation of the Maxwell Equations

• Hamiltonian Formulation of the Maxwell Equations

• Poisson Bracket Method

• Hamiltonian of a Closed System

• CHAPTER 11 EXERCISES

The following sections are included:

• Normal and Anomalous Dispersion

• Multiple Scattering Theory of the Index of Refraction

• Kramers–Kronig Relations

• General Observations on the Kramers–Kronig Relations

• Relaxation

• Plasma Frequency

• CHAPTER 12 EXERCISES

The following sections are included:

• Appendix A

• Appendix B

• Bibliography

• Index

• Solutions Manual
  • Preface
  • 1 Exercises
  • 2 Exercises
  • 3 Exercises
  • 4 Exercises
  • 5 Exercises
  • 6 Exercises
  • 7 Exercises
  • 8 Exercises
  • 9 Exercises
  • 10 Exercises
  • 11 Exercises
  • 12 Exercises