 Content
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A book designed for a twosemester course in electromagnetic theory which can be very useful for students interested in theoretical physics, experimental nuclear and highenergy physics.
Classical electromagnetic theory, together with classical and quantum mechanics, forms the core of presentday theoretical training for undergaduate and graduate physicist. A thorough grounding in these subjects is a requirement for more advanced and specialized training.
This, Classical Electrodynamics Third Edition, attempts to adress changes in emphasis and applications without any significant increase in size.
What is Classical Electrodynamics, Third Edition Book all about?
Typically the undergraduate program in electricity and magnetism involves two or, perhaps, three semesters beyond elementary physics, with the emphasis on the fundamental laws, laboratory verification and elaboration of their consequences, circuit analysis, simple wave phenomena, and radiation. The mathematical tools utilized include vector calculus, ordinary differential equations with constant coefficients, Fourier series, and perhaps Fourier or Laplace transforms, partial differential equations, Legendre polynomials, and Bessel functions.
The first aim of this book is to present the basic subject matter as a coherent whole, with emphasis on the unity of electric and magnetic phenomena, both in their physical basis and in the mode of mathematical description. The second, concurrent aim is to develop and utilize a number of topics in mathematical physics which are useful in both electromagnetic theory and wave mechanics. These include Green’s theorems and Green’s functions, orthonormal expansions, spherical harmonics, cylindrical and spherical Bessel functions.
New and Updated Content
The most visible change is the use of SI units in the first 10 chapters. Gaussian units are retained in the later chapters, since such units seem more suited to relativity and relativistic electrodynamics than SI. As a reminder of the system of units being employed, the running head lefthand page carries “SI” or “G” depending on the chapter.
Because of the increasing use of personal computers to supplement analytical work or to attack problems not amenable to analytic solutions, some new sections on the principles of some numerical techniques for electrostatics and magnetostatics, as well as some elementary problems, have been included. The aim is to provide an understanding of such methods before blindly using canned software or even Mathematica or Maple.
Rearranged topics
Faraday’s law and quasistatic fields are now in Chapter 5 with magnetostatics, permitting a more logical discussion of energy and inductances. Another major change is the consolidation of the discussion of radiation by chargecurrent sources, in both elementary and exact multipole forms, in Chapter 9. All the applications to scattering difraction are in Chapter 10.
The principles of optical fibres and dielectric waveguides are discussed in two new sections in Chapter 8. In Chapter 13, the treatment of energy loss has been shortened. The discussion in Chapter 14 has been augmented by a detail section on the physics of wigglers and undulators for synchroton light sources, as a result of the increasing importance of synchrotron radiation as a research tool. There is new material in Chapter 16 on radiation reaction and models of classical charged particles.
There is, also, much more tweaking by small amounts throughout the book.
EduReads Final Word
This book is designed for a twosemester course in electromagnetic theory. This book is the outgrowth of a graduate course in electrodynamics and can be very useful for students interested in theoretical physics, experimental nuclear and highenergy physics.
Classical Electrodynamics, 3rd Edition is available at Amazon New, Used, and for Rent. Among standard formats, this book is also available in PDF, and as an eTextbook.
Contents
Complete and Detailed Table of Contents
 Introduction and Survey
 I.1 – Maxwell Equations in Vacuum, Fields, and Sources
 I.2 – Inverse Square Law, or the Mass of Photon
 I.3 – Linear Superposition
 I.4 – Maxwell Equations in Macroscopic Media
 I.5 – Boundary Conditions at Interfaces Between Different Media
 I.6 – Some Remarks on Idealizations in Electromagnetism
 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 BoundaryValue 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 TwoDimensional Electrostatic Problems
 References and Suggested Reading
 Problems
 BoundaryValue 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 TwoDimensional Potential Problem, Summation of Fourier Series
 2.11 – Fields and Charge Densities in TwoDimensional Corners and Along Edges
 2.12 – Introduction to Finite Element Analysis for Electrostatics
 References and Suggested Reading
 Problems
 BoundaryValue Problems in Electrostatics: II
 3.1 – Laplace Equation in Spherical Coordinates
 3.2 – Legendre Equation and Legendre Polynomials
 3.3 – BoundaryValue 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
 3.6 – Addition Theorem for Spherical Harmonics
 3.7 – Laplace Equation in Cylindrical Coordinates; Bessel Functions
 3.8 – BoundaryValue 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
 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 – BoundaryValue problems with Dielectrics
 4.5 – Molecular Polarizability and Electric Susceptibility
 4.6 – Models for Electric Polarizability
 4.7 – Electrostatic Energy in Dielectric Media
 References and Suggested Reading
 Problems
 Magnetostatics, Faraday’s Law, QuasiStatic Fields
 5.1 – Introduction and Definitions
 5.2 – Biot and Savart Law
 5.3 – Differential Equations of Magnetostatics and Ampère’s Law
 5.4 – Vector Potential
 5.5 – Vector Potential and Magnetic Induction for a Circular Current Loop
 5.6 – Magnetic Fields of a Localized Current Distribution, Magnetic Moment
 5.7 – Force and Torque on and Energy of a Localized Current Distribution in an External Magnetic Induction
 5.8 – Macroscopic Equations, Boundary Conditions on B and H
 5.9 – Methods of Solving BoundaryValue Problems in Magnetostatics
 5.10 – Uniformly Magnetized Sphere
 5.11 – Magnetized Sphere in an External Field; Permanent Magnets
 5.12 – Magnetic Shielding, Spherical Shell of Permeable Material in a Uniform Field
 5.13 – Effect of a Circular Hole in a Perfectly Conducting Plane with an Asymptotically Uniform Tangential Magnetic Field on One Side
 5.14 – Numerical Methods for TwoDimensional Magnetic Fields
 5.15 – Faraday’s Law of Induction
 5.16 – Energy in the Magnetic Field
 5.17 – Energy and Self and Mutual Inductances
 5.18 – QuasiStatic Magnetic Fields in Conductors; Eddy Currents; Magnetic Diffusion
 References and Suggested Reading
 Problems
 Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws
 6.1 – Maxwell’s Displacement Current; Maxwell Equations
 6.2 – Vector and Scalar Potentials
 6.3 – Gauge Transformations, Lorenz Gauge, Coulomb Gauge
 6.4 – Green Functions for the Wave Equation
 6.5 – Retarded Solutions for the Fields: Jefimenko’s Generalizations of the Coulomb and BiotSavart Laws; HeavisideFeynman Expressions for Fields of Point Charge
 6.6 – Derivation of the Equations of Macroscopic Electromagnetism
 6.7 – Poynting’s Theorem and Conservation of Energy and Momentum for a System of Charged Particles and Electromagnetic Fields
 6.8 – Poynting’s Theorem in Linear Dissipative Media with Losses
 6.9 – Poynting’s Theorem for Harmonic Fileds; Field Definitions of Impedance and Admittance
 6.10 – Transformation Properties of Electromagnetic Fields and Sources Under Rotations, Spatial Reflections, and Time Reversal
 6.11 – On the Question of Magnetic Monopoles
 6.12 – Discussion of the Dirac Quantization Condition
 6.13 – Polarization Potentials (Hertz Vectors)
 References and Suggested Reading
 Problems
 Plane Electromagnetic Waves and Wave Propagation
 7.1 – Plane Waves in a Nonconducting Medium
 7.2 – Linear and Circular Polarization; Stokes Parameters
 7.3 – Reflection and Refraction of Electromagnetic Waves at a Plane Interface Between Two Dielectrics
 7.4 – Polarization by Reflection, Total Internal Reflection; GoosHänchen Effect
 7.5 – Frequency Dispersion Characteristics of Dielectrics, Conductors and Plasmas
 7.6 – Simplified Model of Propagation in the Ionosphere and Magnetosphere
 7.7 – Magnetohydrodynamic Waves
 7.8 – Superposition of Waves in One Dimension; Group Velocity
 7.9 – Illustration of the Spreading of a Pulse As It Propagates in a Dispersive Medium
 7.10 – Causality in the Connection Between D and E; KramersKronig Relations
 7.11 – Arrival of a Signal After Propagation Through a Dispersive Medium
 References and Suggested Reading
 Problems
 Waveguides, Resonant Cavities, and Optical Fibers
 8.1 – Fields at the Surface of and Within a Conductor
 8.2 – Cylindrical Cavities and Waveguides
 8.3 – Waveguides
 8.4 – Modes in a Rectangular Waveguide
 8.5 – Energy Flow and Attenuation in Waveguides
 8.6 – Perturbation of Boundary Conditions
 8.7 – Resonant Cavities
 8.8 – Power Losses in a Cavity; Q of a Cavity
 8.9 – Earth and Ionosphere as a Resonant Cavity: Schumann Resonances
 8.10 – Multimode Proagation in Optical Fibers
 8.11 – Modes in Dielectric Waveguides
 8.12 – Expansion in Normal Modes; Fields Generated by a Localized Source in a Hollow Metallic Guide
 References and Suggested Reading
 Problems
 Radiating Systems, Multipole Fields and Radiation
 9.1 – Fields and Radiation of a Localized Oscillating Source
 9.2 – Electric Dipole Fields and Radiation
 9.3 – Magnetic Dipole and Electric Quadrupole Fields
 9.4 – CenterFed Linear Antenna
 9.5 – Multipole Expansion for Localized Source or Aperture in Waveguide
 9.6 – Spherical Wave Solutions of the Scalar Wave Equation
 9.7 – Multipole Expansion of the Electromagnetic Fields
 9.8 – Properties of Multipole Fields, Energy and Angular Momentum of Multipole Radiation
 9.9 – Angular Distribution of Multipole Radiation
 9.10 – Sources of Multipole Radiation; Multipole Moments
 9.11 – Multipole Radiation in Atoms and Nuclei
 9.12 – Multipole Radiation from a Linear, CebterFed Antenna
 References and Suggested Reading
 Problems
 Scattering and Diffraction
 10.1 – Scattering and Long Wavelengths
 10.2 – Perturbation Theory of Scattering, Rayleigh’s Explanation of the Blue Sky, Scattering by Gases and Liquids, Attenuation in Optical Fibers
 10.3 – Spherical Wave Expansion of a Vector Plane Wave
 10.4 – Scattering of Electromagnetic Waves by a Sphere
 10.5 – Scalar Diffraction Theory
 10.6 – Vector Equivalents of the Kirchhoff Integral
 10.7 – Vectorial Diffraction Theory
 10.8 – Babinet’s Principle of Complementary Screens
 10.9 – Diffraction by a Circular Aperture; Remarks on Small Apertures
 10.10 – Scattering in the ShortWavelength Limit
 10.11 – Optical Theorem and Related Matters
 References and Suggested Reading
 Problems
 Special Theory of Relativity
 11.1 – The Situation Before 1900, Einstein’s Two Postulates
 11.2 – Some Recent Experiments
 11.3 – Lorentz Transformations and Basic Kinematic Results of Special Relativity
 11.4 – Addition of Velocities; 4Velocity
 11.5 – Relativistic Momentum and Energy of a Particle
 11.6 – Mathematical Properties of the SpaceTime of Special Relativity
 11.7 – Matrix Representation of Lorentz Transformations, Infinitesimal Generators
 11.8 – Thomas Precession
 11.9 – Invariance of Electric Charge, Covariance of Electrodynamics
 11.10 – Transformation of Electromagnetic fields
 11.11 – Relativistic Equation of Motion for Spin in Uniform or Slowly Varying External Fields
 11.12 – Note on Notation and Units in Relativistic Kinematics
 References and Suggested Reading
 Problems
 Dynamics of Relativistic Particles and Electromagnetic Fields
 12.1 – Lagrangian and Hamiltonian for a Relativistic Charged Particle in External Electromagnetic Fields
 12.2 – Motion in a Uniform, Static Magnetic Field
 12.3 – Motion in Combined, Uniform, Static Electric and Magnetic Fields
 12.4 – Particle Drifts in Nonuniform, Static Magnetic Fields
 12.5 – Adiabatic Invariance of Flux Through Orbit of Particle
 12.6 – Lowest Order Relativistic Corrections to the Lagrangian for Interacting Charged Particles: The Darwin Lagrangian
 12.7 – Lagrangian for the Electromagnetic Field
 12.8 – Proca Lagrangian; Photon Mass Effects
 12.9 – Effective “Photon” Mass in Superconductivity; London Penetration Depth
 12.10 – Canonical and Symmetric Stress Tensors; Conservation Laws
 12.11 – Solution of the Wave Equation in Covariant Form; Invariant Green Functions
 References and Suggested Reading
 Problems
 Collisions, Energy Loss, and Scattering of Charged Particles, Cherenkov and Transition Radiation
 13.1 – Energy Transfer in Coulomb Collision Between Heavy Incident Particle and Free Electron; Energy Loss in Hard Collisions
 13.2 – Energy Loss from Soft Collisions; Total Energy Loss
 13.3 – Density Effect in Collisional Energy Loss
 13.4 – Cherenkov Radiation
 13.5 – Elastic Scattering of Fast Charged Particles by Atoms
 13.6 – Mean Square Angle of Scattering; Angular Distribution of Multiple Scattering
 13.7 – Transition Radiation
 References and Suggested Reading
 Problems
 Radiation by Moving Charges
 14.1 – LiénardWiechert Potentials and Fields for a Point Charge
 14.2 – Total Power Radiated by an Accelerated Charge: Larmor’s Formula and Its Relativistic Generalization
 14.3 – Angular Distribution of Radiation Emitted by an Accelerated Charge
 14.4 – Radiation Emitted by a Charge in Arbitrary, Extremely Relativistic Motion
 14.5 – Distribution in Frequency and Angle of Energy Radiated by Accelerated Charges: Basic Results
 14.6 – Frequency Spectrum of Radiation Emitted by a Relativistic Charged Particle in Instantaneously Circular Motion
 14.7 – Undulators and Wigglers for Synchrotron Light Sources
 14.8 – Thomson Scattering of Radiation
 References and Suggested Reading
 Problems
 Bremsstrahlung, Method of Virtual Quanta, Radiative Beta Processes
 15.1 – Radiation Emitted During Collisions
 15.2 – Bremsstrahlung in Coulomb Collisions
 15.3 – Screening Effects; Relativistic Radiative Energy Loss
 15.4 – WeizsäckerWilliams Method of Virtual Quanta
 15.5 – Bremsstrahlung as the Scattering of Virtual Quanta
 15.6 – Radiation Emitted During Beta Decay
 15.7 – Radiation Emitted During Orbital Electron Capture: Disappearance of Charge and Magnetic Moment
 References and Suggested Reading
 Problems
 Radiation Damping, Classical Models of Charged Particles
 16.1 – Introductory Considerations
 16.2 – Radiative Reaction Force from Conservation of Energy
 16.3 – Abraham Lorentz Evaluation of the SelfForce
 16.4 – Relativistic Covariance; Stability and Poincaré Stresses
 16.5 – Covariant Definitions of Electromagnetic Energy and Momentum
 16.6 – Covariant Stable Charged Particle
 16.7 – Level Breadth and Level Shift of a Radiating Oscillator
 16.8 – Scattering and Absorption of Radiation by an Oscillator
 References and Suggested Reading
 Problems
 Appendix on Units and Dimensions
 Units and Dimensions, Basic Units and Derived Units
 Electromagnetic Units and Equations
 Various Systems of Electromagnetic Units
 Conversion of Equations and Amounts Between SI Units and Gaussian Units
Book Details
Edition: 3Author: John David Jackson
Pages: 832
ISBN10: 047130932X (Hardcover); 0462309320 (Paperback)
ISBN13: 9780471309321 (Hardcover); 9780462309323 (Paperback)
Release Date: August 10th, 1998.
Publisher: Wiley
Category: Engineering –> Electrical/Electronics; Science –> Physics –> SolidState Physics
About John David Jackson, Author of “Classical Electrodynamics”
John David Jackson received his B. Sc. from the University of Western Ontario in 1946 and his Ph.D. from the Massachusetts Institute of Technology in 1949. He taught at McGill University for seven years and at the University of Illinois for ten before coming to Berkeley in 1967. He has held a Guggenheim Fellowship (Princeton, 195657), a Ford Foundation Fellowship (CERN, 196364), and Visiting Research Fellowships at Cambridge (Clare Hall, 1970) and Oxford (Jesus College, 198889). He is a member of the National Academy of Sciences, and the American Academy of Arts and Sciences, and a Fellow of the American Physical Society. He is the author of a well known graduate text, Classical Electrodynamics (Wiley, 1962, 1975, 1998), as well Physics of Elementary Particles (Princeton Press, 1958) and Mathematics for Quantum Mechanics (W A Benjamin, 1962). He has contributed to numerous summer school lecture series, and for 17 years served as Editor of Annual Review of Nuclear and Particle Science. Service to the University of California includes Department Chair (197881), and Head of the Physics Division, Lawrence Berkeley National Laboratory (198284). He retired from teaching in 1993 and is presently a Participating Retiree in the Physics Division, LBNL.