Classical Theory of Electricity and Magnetism - A Course of Lectures

Foreword to the Revised Edition
Preface
Contents
About the Author
1 Empirical Basis of Electrostatics
	1.1 The Idea of Electric Charge
	1.2 The Law of Interaction of Point Charges
2 Direct Calculation of Field in Some Cases
	2.1 Interaction Between Dipoles
	2.2 Potential due to Surface Distribution of Charges  and Dipoles
	2.3 The Dirac δ-Function
3 Gauss\' Theorem, Laplace and Poisson Equations
	3.1 Equations of Laplace and Poisson
		3.1.1 Green\'s Theorem in Vector Calculus
		3.1.2 A Formula of Interest in Field Theory
		3.1.3 Earnshaw\'s Theorem
4 Analysis of the Electrostatic Field: Multipole Moments
	4.1 Energy of Multipoles in an External Field
5 Dielectrics and the Uniqueness Theorem
	5.1 Boundary Conditions to be Satisfied at the Interface of Two Different Dielectrics
	5.2 The Uniqueness Theorem
	5.3 Field in a Cavity in a Dielectric
	5.4 Molecular Polarizability and Clausius-Mossotti Relation
6 Solution of the Laplace Equation
	6.1 Rectangular Cartesian Coordinates
	6.2 Cylindrical Polar Coordinates
	6.3 Method of Electrical Images
		6.3.1 A Point Charge in Front of an Infinite Conducting Plane
		6.3.2 Conducting Sphere
		6.3.3 Two Spheres Intersecting at Right Angle
	6.4 Green\'s Function Method
	6.5 Method Using Complex Variables
7 Field Energy and Forces in Electrostatics
	7.1 Electrostriction
	7.2 Pressure Discontinuity at the Boundary of a Dielectric
	7.3 Force Sucking in a Dielectric into a Capacitor
	7.4 Force on the Surface of a Charged Conductor
8 Stationary Currents and Magnetic Fields
	8.1 Magnetic Moment or a Current Distribution
	8.2 Relation Between Magnetic Moment and Angular Momentum for a Classical System
		8.2.1 Larmor Precession
	8.3 Permanent Magnets and the Vector H
	8.4 Boundary Conditions at the Interface of Two Media
	8.5 Scalar and Vector Potentials for a Static Magnetic Field
	8.6 Uniformly Magnetized Sphere
9 Electromagnetic Induction and Energy  of the Magnetic Field
	9.1 Law of Induction in a Moving Coil or Medium
	9.2 Energy of the Magnetostatic Field
	9.3 Calculation of Self and Mutual Inductances
	9.4 Current in Circuits with Inductance, Resistance  and Capacitance
		9.4.1 The Case of an Alternating Impressed Electromotive Force
10 Maxwell\'s Equations, Electromagnetic Energy and Momentum
	10.1 The Electromagnetic Waves in an Isotropic Homogeneous Dielectric
	10.2 Energy Flux and the Poynting Vector
	10.3 The General Stress Tensor and Momentum of Radiation
	10.4 The Pressure of Radiation
11 Reflection and Refraction  of Electromagnetic Waves
	11.1 Total Internal Reflection
	11.2 Reflection at Conducting Surfaces (Metallic Reflection)
12 Wave Guides and Cavity Resonators
	12.1 Transverse Electromagnetic Waves (TEM Waves)
	12.2 TM and TE Modes
	12.3 Energy Flux, Attenuation in Wave Guides  and Q of Cavities
		12.3.1 Rectangular Transverse Section
		12.3.2 Circular Cylindrical Cavity
13 Electromagnetic Waves in Anisotropic Media
	13.1 The Relation Between the Directions of D, B, k, etc.
	13.2 The Relation Between the Vectors in the Two Waves with the Same Wave Normal
	13.3 Crystal Classes and Optic Axes
	13.4 Conical Refraction
	13.5 External Conical Refraction
14 Solution of Maxwell\'s Equations: Retarded and Advanced Potentials
	14.1 The Near Field and the Far Field
15 Analysis of the Radiation Field
	15.1 The Hertz Vector and Hertz\'s Method of Analysis
16 Field Due to a Moving Charged Particle
	16.1 Field of a Particle in Uniform Rectilinear Motion
	16.2 The Method of Virtual Quanta
	16.3 Number of Equivalent Photons in the Virtual Radiation Field
17 Field of a Particle in Non-Uniform Motion
	17.1 Radiation from a Particle Describing a Circular Orbit with Uniform Velocity—Acceleration Always Orthogonal to the Velocity
	17.2 Classical Theory of Bremsstrahlung
18 Electrons in Material Media
	18.1 Cerenkov Radiation
	18.2 Scattering of Electromagnetic Waves by Electrons
	18.3 Dispersion and Absorption
19 Motion of Charged Particles in Electromagnetic Fields
	19.1 Weak Perturbations and Drift of the Guiding Centre
	19.2 Slow Temporal Variation of Magnetic Field—Adiabatic Invariants
	19.3 Confinement of Charged Particles in Non-homogeneous Magnetic Fields—The Magnetic Bottle and Magnetic Mirror
20 Magnetohydrodynamics—Conducting Fluids and Magnetic Fields
	20.1 Stationary Solutions of the Magneto-Hydrodynamic Equations
	20.2 The Pinch Effect
	20.3 Instability of the Cylindrical Plasma
	20.4 The Magneto-Hydrodynamic Waves
	20.5 Dissipative Effects
21 Two Component Plasma Oscillations
	21.1 Waves in the Plasma
22 The Theory of the Electron
	22.1 Critique of the Classical Theory
	22.2 The Radiation Reaction
	22.3 The Wheeler–Feynmann Absorber Theory of the Radiation Reaction
23 Special Theory of Relativity and Electromagnetism
	23.1 The Lorentz Transformation Formulae
	23.2 Covariant and Contravariant Vectors and Tensors
	23.3 Variation of Mass with Velocity
	23.4 Tensor Form of the Equation of Electromagnetism
24 Variational Principle Formulation  of Maxwell\'s Equations and Lagrangian Dynamics of Charged Particles in Electromagnetic Fields
	24.1 Lagrangian and Hamiltonian of a Charged Particle in an Electromagnetic Field
Appendix A Index
Index