9780471309321

Classical Electrodynamics, 3rd Edition

by
  • ISBN13:

    9780471309321

  • ISBN10:

    047130932X

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 8/1/1998
  • Publisher: Wiley

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Summary

A revision of the defining book covering the physics and classical mathematics necessary to understand electromagnetic fields in materials and at surfaces and interfaces. The third edition has been revised to address the changes in emphasis and applications that have occurred in the past twenty years.

Table of Contents

Introduction and Survey 1(23)
1.1 Maxwell Equations in Vacuum, Fields, and Sources 2(3)
1.2 Inverse Square Law, or the Mass of the Photon 5(4)
1.3 Linear Superposition 9(4)
1.4 Maxwell Equations in Macroscopic Media 13(3)
1.5 Boundary Conditions at Interfaces Between Different Media 16(3)
1.6 Some Remarks on Idealizations in Electromagnetism 19(3)
References and Suggested Reading 22(2)
Chapter 1 Introduction to Electrostatics
24(33)
1.1 Coulomb's Law
24(1)
1.2 Electric Field
24(3)
1.3 Gauss's Law
27(1)
1.4 Differential Form of Gauss's Law
28(1)
1.5 Another Equation of Electrostatics and the Scalar Potential
29(2)
1.6 Surface Distributions of Charges and Dipoles and Discontinuities in the Electric Field and Potential
31(3)
1.7 Poisson and Laplace Equations
34(1)
1.8 Green's Theorem
35(2)
1.9 Uniqueness of the Solution with Dirichlet or Neumann Boundary Conditions
37(1)
1.10 Formal Solution of Electrostatic Boundary-Value Problem with Green Function
38(2)
1.11 Electrostatic Potential Energy and Energy Density; Capacitance
40(3)
1.12 Variational Approach to the Solution of the Laplace and Poisson Equations
43(4)
1.13 Relaxation Method for Two-Dimensional Electrostatic Problems
47(3)
References and Suggested Reading
50(1)
Problems
50(7)
Chapter 2 Boundary-Value Problems in Electrostatics: I
57(38)
2.1 Method of Images
57(1)
2.2 Point Charge in the Presence of a Grounded Conducting Sphere
58(2)
2.3 Point Charge in the Presence of a Charged, Insulated, Conducting Sphere
60(1)
2.4 Point Charge Near a Conducting Sphere at Fixed Potential
61(1)
2.5 Conducting Sphere in a Uniform Electric Field by Method of Images
62(2)
2.6 Green Function for the Sphere; General Solution for the Potential
64(1)
2.7 Conducting Sphere with Hemispheres at Different Potentials
65(2)
2.8 Orthogonal Functions and Expansions
67(3)
2.9 Separation of Variables; Laplace Equation in Rectangular Coordinates
70(2)
2.10 A Two-Dimensional Potential Problem; Summation of Fourier Series
72(3)
2.11 Fields and Charge Densities in Two-Dimensional Corners and Along Edges
75(4)
2.12 Introduction to Finite Element Analysis For Electrostatics
79(5)
References and Suggested Reading
84(1)
Problems
85(10)
Chapter 3 Boundary-Value Problems in Electrostatics: II
95(50)
3.1 Laplace Equation in Spherical Coordinates
95(1)
3.2 Legendre Equation and Legendre Polynomials
96(5)
3.3 Boundary-Value Problems with Azimuthal Symmetry
101(3)
3.4 Behavior of Fields in a Conical Hole or Near a Sharp Point
104(3)
3.5 Associated Legendre Functions and the Spherical Harmonics Y(lm) (Theta. Phi)
107(3)
3.6 Addition Theorem for Spherical Harmonics
110(1)
3.7 Laplace Equation in Cylindrical Coordinates: Bessel Functions
111(6)
3.8 Boundary-Value Problems in Cylindrical Coordinates
117(2)
3.9 Expansion of Green Functions in Spherical Coordinates
119
3.10 Solution of Potential Problems with the Spherical Green Function Expansion
112
3.11 Expansion of Green Functions in Cylindrical Coordinates
125(2)
3.12 Eigenfunction Expansions for Green Functions
127(2)
3.13 Mixed Boundary Conditions. Conducting Plane with a Circular Hole
129(6)
References and Suggested Reading
135(1)
Problems
135(10)
Chapter 4 Multipoles, Electrostatics of Macroscopic Media, Dielectrics
145(29)
4.1 Multipole Expansion
145(5)
4.2 Multipole Expansion of the Energy of a Charge Distribution in an External Field
150(1)
4.3 Elementary Treatment of Electrostatics with Ponderable Media
151(3)
4.4 Boundary-Value Problems with Dielectrics
154(5)
4.5 Molecular Polarizability and Electric Susceptibility
159(3)
4.6 Models for Electric Polarizability
162(3)
4.7 Electrostatic Energy in Dielectric Media
165(4)
References and Suggested Reading
169(1)
Problems
169(5)
Chapter 5 Magnetostatics, Faraday's Law, Quasi-Static Fields
174(63)
5.1 Introduction and Definitions
174(1)
5.2 Biot and Savart Law
175(3)
5.3 Differential Equations of Magnetostatics and Ampere's Law
178(2)
5.4 Vector Potential
180(1)
5.5 Vector Potential and Magnetic Induction for a Circular Current Loop
181(3)
5.6 Magnetic Fields of a Localized Current Distribution, Magnetic Moment
184(4)
5.7 Force and Torque on and Energy of a Localized Current Distribution in an External Magnetic Induction
188(3)
5.8 Macroscopic Equations, Boundary Conditions on B and H
191(3)
5.9 Methods of Solving Boundary-Value Problems in Magnetostatics
194(4)
5.10 Uniformly Magetized Sphere
198(1)
5.11 Magnetized Sphere in an External Field: Permanent Magnets
199(2)
5.12 Magnetic Shielding, Spherical Shell of Permeable Material in a Uniform Field
201(2)
5.13 Effect of a Circular Hole in a Perfectly Conducting Plane with an Asymptotically Uniform Tangential Magnetic Fields on One Side
203(3)
5.14 Numerical Methods for Two-Dimensional Magnetic Fields
206(2)
5.15 Faraday's Law of Induction
208(4)
5.16 Energy in the Magnetic Field
212(3)
5.17 Energy and Self-and Mutual Inductances
215(3)
5.18 Quasi-Static Magnetic Fields in Conductors; Eddy Currents: Magnetic Diffusion
218(5)
References and Suggested Reading
223(2)
Problems
225(12)
Chapter 6 Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws
237(58)
6.1 Maxwell's Displacement Current; Maxwell Equations
237(2)
6.2 Vector and Scalar Potentials
239(1)
6.3 Gauge Transformations, Lorentz Gauge, Coulomb Gauge
240(3)
6.4 Green Functions for the Wave Equation
243(3)
6.5 Retarded Solutions for the Fields: Jefimenko's Generalizations of the Coulomb and Biot-Savart Laws; Heaviside-Feynman Expressions for Fields of Point Charge
246(2)
6.6 Derivation for the Equations of Macroscopic Electromagnetism
248(10)
6.7 Poynting's Theorem and Conservation of Energy and Momentum for a System of Charged Particles and Electromagnetic Fields
258(4)
6.8 Poynting's Theorem in Linear Dissipative Media with Losses
262(2)
6.9 Poynting's Theorem for Harmonic Fields; Fields Definitions of Impedance and Admittance
264(3)
6.10 Transformation Properties for Electromagnetic Fields and Sources Under Rotations, Spatial Reflections, and Time Reversal
267(6)
6.11 On the Question of Magnetic Monopoles
273(2)
6.12 Discussion of the Dirac Quantization Condition
275(5)
6.13 Polarization Potentials (Hertz Vectors)
280(2)
References and Suggested Reading
282(1)
Problems
283(12)
Chapter 7 Plane Electromagnetic Waves and Wave Propagation
295(57)
7.1 Plane Waves in a Nonconducting Medium
295(4)
7.2 Linear and Circular Polarization; Stockes Parameters
299(3)
7.3 Reflection and Refraction of Electromagnetic Waves at a Plane Interface Between Two Dielectrics
302(4)
7.4 Polarization by Reflection, Total Internal Reflection: Goos-Hanchen Effect
306(3)
7.5 Frequency Dispersion Characteristics of Dielectrics, Conductors, and Plasmas
309(7)
7.6 Simplified Model of Propagation in the Ionosphere and Magnetosphere
316(3)
7.7 Magnetohydrodynamic Waves
319(3)
7.8 Superposition of the Waves in One Dimension; Group Velocity
322(4)
7.9 Illustration of the Spreading of a Pulse As It Propagates in a Dispersive Medium
326(4)
7.10 Causality in the Connection Between D and E: Kramers-Kroning Relations
330(5)
7.11 Arrival of a Signal After Propagation Through a Dispersive Medium
335(4)
References and Suggested Reading
339(1)
Problems
340(12)
Chapter 8 Waveguides, Resonant Cavities, and Optical Fibers
352(55)
8.1 Fields at the Surface of and Within a Conductor
352(4)
8.2 Cylindrical Cavities and Waveguides
356(3)
8.3 Waveguides
359(2)
8.4 Modes in a Rectangular Waveguides
361(2)
8.5 Energy Flow and Attenuation in Waveguides
363(3)
8.6 Perturbation of Boundary Conditions
366(2)
8.7 Resonant Cavities
368(3)
8.8 Power Losses in a Cavity; Q of a Cavity
371(3)
8.9 Earth and Ionosphere as a Resonant Cavity: Schumann Resonances
374(4)
8.10 Multimode Propagation in Optical Fibers
378(7)
8.11 Modes in Dielectric Waveguides
385(4)
8.12 Expansion in Normal Modes; Fields Generated by a Localized Source in a Hollow Metallic Guide
389(6)
References and Suggested Reading
395(1)
Problems
396(11)
Chapter 9 Radiating Systems, Multipole Fields and Radiation
407(49)
9.1 Fields and Radiation of a Localized Oscillating Source
407(3)
9.2 Electric Dipole Fields and Radiation
410(3)
9.3 Magnetic Dipole and Electric Quadrupole Fields
413(3)
9.4 Center-Fed Linear Antenna
416(3)
9.5 Multipole Expansion for Localized Source or Aperture in Waveguide
419(6)
9.6 Spherical Wave Solutions of the Scalar Wave Equation
425(4)
9.7 Multipole Expansion of the Electromagnetic Fields
429(3)
9.8 Properties of Multipole Fields, Energy and Angular Momentum of Multipole Radiation
432(5)
9.9 Angular Distribution of Multipole Radiation
437(2)
9.10 Sources of Multipole Radiation; Multipole Moments
439(3)
9.11 Multipole Radiation in Atoms and Nuclei
442(2)
9.12 Multipole Radiation from a Linear, Center-Fed Antenna
444(4)
References and Suggested Reading
448(1)
Problems
449(7)
Chapter 10 Scattering and Diffraction
456(58)
10.1 Scattering at Long Wavelengths
456(6)
10.2 Perturbation Theory of Scattering, Rayleigh's Explanation of the Blue Sky, Scattering by Gases and Liquids, Attenuation in Optical Fibers
462(9)
10.3 Spherical Wave Expansion of a Vector Plane Wave
471(2)
10.4 Scattering of Electromagnetic Waves by a Sphere
473(5)
10.5 Scalar Diffraction Theory
478(4)
10.6 Vector Equivalents of the Kirchhoff Integral
482(3)
10.7 Vectorial Diffraction Theory
485(3)
10.8 Babinet's Principle of Complementary Screens
488(2)
10.9 Diffraction by a Circular Aperture; Remarks on Small Apertures
490(5)
10.10 Scattering in the Short-Wavelength Limit
495(5)
10.11 Optical Theorem and Related Matters
500(6)
References and Suggested Reading
506(1)
Problems
507(7)
Chapter 11 / Special Theory of Relativity
514(65)
11.1 The Situation Before 1900, Einstein's Two Postulates
515(3)
11.2 Some Recent Experiments
518(6)
11.3 Lorentz Transformations and Basic Kinematic Results of Special Relativity
524(6)
11.4 Addition of Velocities; 4-Velocity
530(3)
11.5 Relativistic Momentum and Energy of a Particle
533(6)
11.6 Mathematical Properties of the Space-Time of Special Relativity
539(4)
11.7 Matrix Representation of Lorentz Transformations, Infinitesimal Generators
543(5)
11.8 Thomas Precession
548(5)
11.9 Invariance of Electric Charge; Covariance of Electrodynamics
553(5)
11.10 Transformation of Electromagnetic Fields
558(3)
11.11 Relativistic Equation of Motion for Spin in Uniform or Slowly Varying External Fields
561(4)
11.12 Note on Notation and Units in Relativistic Kinematics
565(1)
References and Suggested Reading
566(2)
Problems
568(11)
Chapter 12 Dynamics of Relativistic Particles and Electromagnetic Fields
579(45)
12.1 Lagrangian and Hamiltonian for a Relativistic Charged Particle in External Electromagnetic Fields
579(6)
12.2 Motion in a Uniform, Static Magnetic Field
585(1)
12.3 Motion in Combined, Uniform, Static Electric and Magnetic Fields
586(2)
12.4 Particle Drifts in Nonuniform, Static Magnetic Fields
588(4)
12.5 Adiabatic Invariance of Flux Through Orbit of Particle
592(4)
12.6 Lowest Order Relativistic Corrections to the Lagrangian for Interacting Charged Particles: The Darwin Lagrangian
596(2)
12.7 Lagrangian for the Electromagnetic Field
598(2)
12.8 Proca Lagrangian; Photon Mass Effects
600(3)
12.9 Effective "Photon" Mass in Superconductivity; London Penetration Depth
603(2)
12.10 Canonical and Symmetric Stress Tensors; Conservation Laws
605(7)
12.11 Solution of the Wave Equation in Covariant Form; Invariant Green Functions
612(3)
References and Suggested Reading
615(2)
Problems
617(7)
Chapter 13 Collisions, Energy Loss, and Scattering of Charged Particles, Cherenkov and Transition Radiation
624(37)
13.1 Energy Transfer in Coulomb Collision Between Heavy Incident Particle and Free Electron; Energy Loss in Hard Collisions
625(2)
13.2 Energy Loss form Soft Collisions; Total Energy Loss
627(4)
13.3 Density Effect in Collisional Energy Loss
631(6)
13.4 Cherenkov Radiation
637(3)
13.5 Elastic Scattering of Fast Charged Particles by Atoms
640(3)
13.6 Mean Square Angle of Scattering; Angular Distribution of Multiple Scattering
643(3)
13.7 Transition Radiation
646(8)
References and Suggested Reading
654(1)
Problems
655(6)
Chapter 14 Radiation by Moving Charges
661(47)
14.1 Lienard-Wiechert Potentials and Fields for a Point Charge
661(4)
14.2 Total Power Radiated by an Accelerated Charge: Larmor's Formula and Its Relativistic Generalization
665(3)
14.3 Angular Distribution of Radiation Emitted by an Accelerated Charge
668(3)
14.4 Radiation Emitted by a Charge in Arbitrary, Extremely Relativistic Motion
671(2)
14.5 Distribution in Frequency and Angle of Energy Radiated by Accelerated Charges: Basic Results
673(3)
14.6 Frequency Spectrum of Radiation Emitted by a Relativistic Charged Particle in Instantaneously Circular Motion
676(7)
14.7 Undulators and Wigglers for Synchrotron Light Sources
683(11)
14.8 Thomson Scattering of Radiation
694(3)
References and Suggested Reading
697(1)
Problems
698(10)
Chapter 15 Bremsstrahlung, Method of Virtual Quanta, Radiative Beta Processes
708(37)
15.1 Radiation Emitted During Collissions
709(5)
15.2 Bremsstrahlung in Coulomb Collisions
714(7)
15.3 Screening Effects; Relativistic Radiative Energy Loss
721(3)
15.4 Weizsacker-Williams Method of Virtual Quanta
724(5)
15.5 Bremsstrahlung as the Scattering of Virtual Quanta
729(1)
15.6 Radiation Emitted During Beta Decay
730(2)
15.7 Radiation Emitted During Orbital Electron Capture: Disappearance of Charge and Magnetic Moment
732(5)
References and Suggested Reading
737(1)
Problems
737(8)
Chapter 16 Radiation Damping, Classical Models of Charged Particles
745(30)
16.1 Introductory Considerations
745(2)
16.2 Radiative Reaction Force from Conservation of Energy
747(3)
16.3 Abraham-Lorentz Evaluation of the Self-Force
750(5)
16.4 Relativistic Coveriance; Stability and Poincare Stresses
755(2)
16.5 Covariant Definitions of Electromagnetic Energy and Momentum
757(2)
16.6 Covariant Stable Charged Particle
759(4)
16.7 Level Breadth and Level Shift of a Radiating Oscillator
763(3)
16.8 Scattering and Absorption of Radiation by an Oscillator
766(2)
References and Suggested Reading
768(1)
Problems
769(6)
Appendix on Units and Dimensions 775(10)
1 Units and Dimensions, Basic Units and Derived Units and Derived Units 775(2)
2 Electromagnetic Units and Equations 777(2)
3 Various Systems of Electromagnetic Units 779(3)
4 Conversion of Equations and Amounts Between SI Units and Gaussian Units 782(3)
Bibliography 785(6)
Index 791

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