Classical Electrodynamics

Cover
Half Title
Series Page
Title Page
Copyright Page
Dedication
Contents
Preface to Second Edition
Preface to First Edition
Reader's Guide (Updated from First Edition)
I. Formulation of Electrodynamics
	1. Maxwell's Equations
		1.1. Electrostatics
		1.2. Inference of Maxwell's Equations
		1.3. Discussion
		1.4. Problems for Chapter 1
	2. Magnetic Charge I
		2.1. A Very Brief History of Magnetic Charge
		2.2. Problems for Chapter 2
	3. Conservation Laws
		3.1. Conservation of Energy
		3.2. Conservation of Momentum
		3.3. Conservation of Angular Momentum. Virial Theorem
		3.4. Conservation Laws and the Speed of Light
		3.5. Problems for Chapter 3
	4. Macroscopic Electrodynamics
		4.1. Force on an Atom
		4.2. Force on a Macroscopic Body
		4.3. Macroscopic Electrodynamics
		4.4. Problems for Chapter 4
	5. Simple Model for Constitutive Relations
		5.1. Conductivity
		5.2. Dielectric Constant
		5.3. Plasma
		5.4. Polar Molecules
		5.5. Clausius-Mossotti Equation
		5.6. Problems for Chapter 5
	6. Dispersion Relations for the Susceptibility
		6.1. Problems for Chapter 6
	7. Magnetic Properties of Matter
		7.1. Canonical Equations of Motion in Electromagnetic Fields
		7.2. Diamagnetism
		7.3. Paramagnetism
		7.4. Ferromagnetism
		7.5. Problems for Chapter 7
	8. Macroscopic Energy and Momentum
		8.1. General Discussion
		8.2. Nondispersive Medium
		8.3. Dispersive Medium
		8.4. Problems for Chapter 8
	9. Review of Action Principles
		9.1. Lagrangian Viewpoint
		9.2. Hamiltonian Viewpoint
		9.3. A Third Viewpoint
		9.4. Invariance and Conservation Laws
		9.5. Nonconservation Laws. The Virial Theorem
		9.6. Problems for Chapter 9
	10. Action Principle for Electrodynamics
		10.1. Action of Particle in Field
		10.2. Electrodynamic Action
		10.3. Energy
		10.4. Momentum and Angular Momentum Conservation
		10.5. Gauge Invariance and the Conservation of Charge
		10.6. Gauge Invariance and Local Conservation Laws
		10.7. Problems for Chapter 10
	11. Einsteinian Relativity
		11.1. Relativistic Modification
		11.2. Lorentz Transformations
		11.3. Transformation of Fields
		11.4. Problems for Chapter 11
	12. Relativistic Formulation
		12.1. Four-Dimensional Notation
		12.2. Field Transformations
		12.3. Problems for Chapter 12
II. Electrostatics
	13. Stationary Principles for Electrostatics
		13.1. Stationary Principles for the Energy
			13.1.1. The Scalar Field Form
			13.1.2. The Vector Field Form
		13.2. Force on Dielectrics
		13.3. Boundary Conditions
		13.4. Conductors
		13.5. Problems for Chapter 13
	14. Introduction to Green's Functions
		14.1. Reciprocity Relation
		14.2. Problems for Chapter 14
	15. Electrostatics in Free Space
		15.1. 2 + 1 Dimensions
		15.2. Problems for Chapter 15
	16. Semi-Infinite Dielectric
		16.1. Green's Function for Charge Outside Dielectric
		16.2. Derivation in Terms of Bound Charge
		16.3. Green's Function for Charge Within Dielectric
		16.4. Full Green's Function and Image Charge
		16.5. Problems for Chapter 16
	17. Application of Green's Function
		17.1. Force between Charge and Dielectric
		17.2. Infinite Conducting Plate
		17.3. Problems for Chapter 17
	18. Bessel Functions
		18.1. Delta Functions and Completeness
		18.2. Problems for Chapter 18
	19. Parallel Conducting Plates
		19.1. Reduced Green's Function
		19.2. Induced Charge
		19.3. Energy
		19.4. Force
		19.5. Images
		19.6. Linear Lattices
		19.7. Periodic Green's Function
		19.8. Problems for Chapter 19
	20. Modified Bessel Functions
		20.1. More Bessel Functions
		20.2. Problems for Chapter 20
	21. Cylindrical Conductors
		21.1. Rectangle
		21.2. Isosceles Right Angle Triangle
		21.3. Equilateral Triangle
		21.4. Circle
		21.5. Circle and Septum
		21.6. Problems for Chapter 21
	22. Spherical Harmonics
		22.1. Solutions to Laplace's Equation
		22.2. Spherical Harmonics
		22.3. Orthonormality Condition
		22.4. Legendre's Polynomials
		22.5. Problems for Chapter 22
	23. Coulomb's Potential
		23.1. Legendre's Polynomials
		23.2. Infinitesimal Rotations
		23.3. Spherical Bessel Functions
		23.4. Problems for Chapter 23
	24. Multipoles
		24.1. Problems for Chapter 24
	25. Conducting Sphere and Dielectric Ball
		25.1. Interior of Conducting Spherical Shell
			25.1.1. Bessel Function Representation
		25.2. Exterior of Conducting Sphere
		25.3. Conducting Plate and Hemispherical Boss
		25.4. Dielectric Ball
			25.4.1. Interior of Ball
		25.5. Problems for Chapter 25
	26. Dielectrics and Conductors
		26.1. Variational Principle
		26.2. Restricted Forms of the Variational Principle
		26.3. Introduction of Additional Conductor
		26.4. Alternate Variational Principle
		26.5. Green's Function
		26.6. Capacitance
		26.7. Problems for Chapter 26
	27. Modes and Variations
		27.1. A Comparison Method
		27.2. Iteration
		27.3. Example
		27.4. Problems for Chapter 27
III. Magnetostatics
	28. Magnetostatics
		28.1. Variational Principle
		28.2. Boundary Conditions
		28.3. Vector Potential
		28.4. Problems for Chapter 28
	29. Macroscopic Current Distributions
		29.1. Magnetic Energy. Coefficients of Inductance
		29.2. Problems for Chapter 29
	30. Magnetic Multipoles
		30.1. Magnetic Dipole Moment
		30.2. Rotating Charged Spherical Shell
		30.3. Problems for Chapter 30
	31. Magnetic Scalar Potential
		31.1. Problems for Chapter 31
	32. Steady Currents and Dissipation
		32.1. Variational Principles for Current
		32.2. Green's Functions
		32.3. Problems for Chapter 32
	33. Magnetic Charge II
		33.1. Problems for Chapter 33
IV. Electromagnetic Radiation
	34. Retarded Green's Function
		34.1. Potentials and Gauges
		34.2. Green's Function in the Lorenz Gauge
		34.3. Problems for Chapter 34
	35. Radiation—Field Point of View
		35.1. Asymptotic Potentials and Fields
		35.2. Angular Distribution of Radiated Power
		35.3. Radiation by an Accelerated Charged Particle
		35.4. Dipole Radiation
		35.5. Potentials in Radiation Gauge
		35.6. Problems for Chapter 35
	36. Radiation—Source Point of View
		36.1. Conservation of Energy
		36.2. Dipole Radiation
		36.3. Hamiltonian
		36.4. Problems for Chapter 36
	37. Models of Antennas
		37.1. Simplified Model
		37.2. Center-Fed Antenna
		37.3. Problems for Chapter 37
	38. Spectral Distribution of Radiation
		38.1. Spectral and Angular Distribution
		38.2. Spectral Distribution for Dipole Radiation
		38.3. Damped Harmonic Motion
		38.4. Problems for Chapter 38
	39. Power Spectrum and Čerenkov Radiation
		39.1. Macroscopic Power Spectrum
		39.2. Čerenkov Radiation
		39.3. Problems for Chapter 39
	40. Constant Acceleration and Impulse
		40.1. Radiation by a Uniformly Accelerated Particle
		40.2. Radiation by Impulsive Scattering
		40.3. Problems for Chapter 40
	41. Synchrotron Radiation I
		41.1. Motion of a Charged Particle in a Homogeneous Magnetic Field
		41.2. Spectrum of Synchrotron Radiation
		41.3. Total Power Emitted into the mth Harmonic
		41.4. Total Radiated Power
		41.5. Problems for Chapter 41
	42. Synchrotron Radiation II—Polarization
		42.1. Spin Polarization
		42.2. Problems for Chapter 42
	43. Synchrotron Radiation III—High Energies
		43.1. Range of Important Harmonics
		43.2. Asymptotic Form for J02m(2m)
		43.3. Spectral Distribution
		43.4. Angular Distribution
		43.5. Qualitative Description
		43.6. Historical Note
		43.7. Problems for Chapter 43
	44. Propagation in a Dielectric Medium
		44.1. Equations for the Normal Modes
		44.2. Reflection and Refraction: ⟂ Polarization
		44.3. Reflection and Refraction: || Polarization
		44.4. Total Internal Reflection
		44.5. Energy Conservation
		44.6. Problems for Chapter 44
	45. Reflection by an Imperfect Conductor
		45.1. Problems for Chapter 45
	46. Cylindrical Coordinates
		46.1. 2 + 1 Dimensional Decomposition of Green's Function
		46.2. Three-Dimensional Fourier Representation
		46.3. Hankel Functions
		46.4. Problems for Chapter 46
	47. Waveguides
		47.1. E and H Modes
		47.2. Boundary Conditions
		47.3. Modes
		47.4. Problems for Chapter 47
	48. Scattering by Small Obstacles
		48.1. Thomson Scattering
		48.2. Scattering by a Bound Charge
		48.3. Scattering by a Dielectric Sphere
		48.4. Radiation Damping
		48.5. Problems for Chapter 48
	49. Partial-Wave Analysis of Scattering
		49.1. Mode Decomposition
		49.2. Interior of Conducting Sphere
		49.3. Spherical Hankel Functions
		49.4. Scattering
		49.5. Problems for Chapter 49
	50. Diffraction I
		50.1. Diffracted Electric Field
		50.2. Diffraction by a Circular Aperture
		50.3. Diffraction by a Slit
		50.4. Diffraction by a Straight Edge
		50.5. Problems for Chapter 50
	51. Diffraction II
		51.1. Approximate Solution
		51.2. Exact Solution for Current
		51.3. Exact Diffraction Cross Section
		51.4. Field Near Edge
		51.5. Historical Note
		51.6. Problems for Chapter 51
	52. Babinet's Principle
		52.1. Problems for Chapter 52
	53. General Scattering
		53.1. Integral Equation
		53.2. Optical Theorem
		53.3. Born Approximation
		53.4. Problems for Chapter 53
	54. Charged Particle Energy Loss
		54.1. General Expression
		54.2. Evaluation in Terms of Spectral Functions
		54.3. High Energy Limit
		54.4. Energy Loss by a Magnetic Monopole
		54.5. Problems for Chapter 54
A. Units
Bibliography
Index