Classical Electrodynamics-Jackson J D E book download

Classical Electrodynamics-Jackson J D 

 Textbook information

• Text book title            :Classical Electrodynamics(3Ed , Wiley, 1999)
• Author                         : Jackson J D
• ISBN                           : 047130932X

File information

• File size                     :9.36 Mb
• File format                : DjVu File
• Total No. of pages    : 833 pages

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Introduction and Survey 1

• 1.1 Maxwell Equations in Vacuum, Fields, and Sources 2
• 1.2 Inverse Square Law, or the Mass of the Photon 5
• 1.3 Linear Superposition 9
• 1.4 Maxwell Equations in Macroscopic Media 13
• 1.5 Boundary Conditions at Interfaces Between Different Media 16
• 1.6 Some Remarks on Idealizations in Electromagnetism 19
• References and Suggested Reading 22
• Chapter 1 / Introduction to Electrostatics 24
• 1.1 Coulomb's Law 24
• 1.2 Electric Field 24
• 1.3 Gauss's Law 27
• 1.4 Differential Form of Gauss's Law 28
• 1.5 Another Equation of Electrostatics and the Scalar Potential 29
• 1.6 Surface Distributions of Charges and Dipoles and Discontinuities
• in the Electric Field and Potential 31
• 1.7 Poisson and Laplace Equations 34
• 1.8 Green's Theorem 35
• 1.9 Uniqueness of the Solution with Dirichlet or Neumann Boundary
• Conditions 37
• 1.10 Formal Solution of Electrostatic Boundary-Value Problem
• with Green Function 38
• 1.11 Electrostatic Potential Energy and Energy Density; Capacitance 40
• 1.12 Variational Approach to the Solution of the Laplace and Poisson
• Equations 43
• 1.13 Relaxation Method for Two-Dimensional Electrostatic Problems 47
• References and Suggested Reading 50
• Problems 50

Chapter 2 / Boundary- Value Problems in Electrostatics: I 57

• 2.1 Method of Images 57
• 2.2 Point Charge in the Presence of a Grounded Conducting Sphere 58
• 2.3 Point Charge in the Presence of a Charged, Insulated, Conducting
• Sphere 60
• 2.4 Point Charge Near a Conducting Sphere at Fixed Potential 61
• 2.5 Conducting Sphere in a Uniform Electric Field by Method
• of Images 62
• 2.6 Green Function for the Sphere; General Solution
• for the Potential 64
• 2.7 Conducting Sphere with Hemispheres at Different Potentials 65 2.8 Orthogonal Functions and Expansions 67
• 2.9 Separation of Variables; Laplace Equation in Rectangular
• Coordinates 70
• 2.10 A Two-Dimensional Potential Problem; Summation
• of Fourier Series 72
• 2.11 Fields and Charge Densities in Two-Dimensional Corners
• and Along Edges 75
• 2.12 Introduction to Finite Element Analysis for Electrostatics 79
• References and Suggested Reading 84
• Problems 85

Chapter 3 / Boundary- Value Problems in Electrostatics: II 95

• 3.1 Laplace Equation in Spherical Coordinates 95
• 3.2 Legendre Equation and Legendre Polynomials 96
• 3.3 Boundary-Value Problems with Azimuthal Symmetry 101
• 3.4 Behavior of Fields in a Conical Hole or Near a Sharp Point 104
• 3.5 Associated Legendre Functions and the Spherical Harmonics
• Ylm@, Ф) Ю7
• 3.6 Addition Theorem for Spherical Harmonics 110
• 3.7 Laplace Equation in Cylindrical Coordinates; Bessel Functions 111
• 3.8 Boundary-Value Problems in Cylindrical Coordinates 117
• 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
• 3.12 Eigenfunction Expansions for Green Functions 127
• 3.13 Mixed Boundary Conditions, Conducting Plane with a Circular
• Hole 129
• References and Suggested Reading 135
• Problems 135

Chapter 4 / Multipoles, Electrostatics of Macroscopic Media
Dielectrics 145

• 4.1 Multipole Expansion 145
• 4.2 Multipole Expansion of the Energy of a Charge Distribution
• in an External Field 150
• 4.3 Elementary Treatment of Electrostatics with Ponderable Media 151
• 4.4 Boundary-Value Problems with Dielectrics 154
• 4.5 Molecular Polarizability and Electric Susceptibility 159
• 4.6 Models for Electric Polarizability 162
• 4.7 Electrostatic Energy in Dielectric Media 165
• References and Suggested Reading 169
• Problems 169

Chapter 5 / Magnetostatics, Faraday's Law, Quasi-Static Fields 174

• 5.1 Introduction and Definitions 174
• 5.2 Biot and Savart Law 175
• 5.3 Differential Equations of Magnetostatics and Ampere's Law 178
• 5.4 Vector Potential 180
• 5.5 Vector Potential and Magnetic Induction for a Circular Current
• Loop 181
• 5.6 Magnetic Fields of a Localized Current Distribution, Magnetic
• Moment 184
• 5.7 Force and Torque on and Energy of a Localized Current Distribution
• in an External Magnetic Induction 188
• 5.8 Macroscopic Equations, Boundary Conditions on В and H 191
• 5.9 Methods of Solving Boundary-Value Problems
• in Magnetostatics 194
• 5.10 Uniformly Magnetized Sphere 198
• 5.11 Magnetized Sphere in an External Field; Permanent Magnets 199
• 5.12 Magnetic Shielding, Spherical Shell of Permeable Material
• in a Uniform Field 201
• 5.13 Effect of a Circular Hole in a Perfectly Conducting Plane
• with an Asymptotically Uniform Tangential Magnetic Field
• on One Side 203
• 5.14 Numerical Methods for Two-Dimensional Magnetic Fields 206
• 5.15 Faraday's Law of Induction 208
• 5.16 Energy in the Magnetic Field 212
• 5.17 Energy and Self- and Mutual Inductances 215
• 5.18 Quasi-Static Magnetic Fields in Conductors; Eddy Currents; Magnetic
• Diffusion 218
• References and Suggested Reading 223
• Problems 225

Chapter 6 / Maxwell Equations, Macroscopic Electromagnetism,
Conservation Laws 237

• 6.1 Maxwell's Displacement Current; Maxwell Equations 237
• 6.2 Vector and Scalar Potentials 239
• 6.3 Gauge Transformations, Lorenz Gauge, Coulomb Gauge 240
• 6.4 Green Functions for the Wave Equation 243
• 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
• 6.6 Derivation of the Equations of Macroscopic Electromagnetism 248
• 6.7 Poynting's Theorem and Conservation of Energy and Momentum
• for a System of Charged Particles and Electromagnetic Fields 258
• 6.8 Poynting's Theorem in Linear Dissipative Media with Losses 262
• 6.9 Poynting's Theorem for Harmonic Fields; Field Definitions
• of Impedance and Admittance 264
• 6.10 Transformation Properties of Electromagnetic Fields and Sources
• Under Rotations, Spatial Reflections, and Time Reversal 267
• 6.11 On the Question of Magnetic Monopoles 273
• 6.12 Discussion of the Dirac Quantization Condition 275
• 6.13 Polarization Potentials (Hertz Vectors) 280
• References and Suggested Reading 282
• Problems 283

Chapter 7 / Plane Electromagnetic Waves and Wave Propagation 295

• 7.1 Plane Waves in a Nonconducting Medium 295
• 7.2 Linear and Circular Polarization; Stokes Parameters 299
• 7.3 Reflection and Refraction of Electromagnetic Waves at a Plane
• Interface Between Two Dielectrics 302
• 7.4 Polarization by Reflection, Total Internal Reflection; Goos-Hanchen
• Effect 306
• 7.5 Frequency Dispersion Characteristics of Dielectrics, Conductors,
• and Plasmas 309
• 7.6 Simplified Model of Propagation in the Ionosphere
• and Magnetosphere 316
• 7.7 Magnetohydrodynamic Waves 319
• 7.8 Superposition of Waves in One Dimension; Group Velocity 322
• 7.9 Illustration of the Spreading of a Pulse As It Propagates in a Dispersive
• Medium 326
• 7.10 Causality in the Connection Between D and E; Kramers-Kronig
• Relations 330
• 7.11 Arrival of a Signal After Propagation Through a Dispersive
• Medium 335
• References and Suggested Reading 339
• Problems 340

Chapter 8 / Waveguides, Resonant Cavities, and Optical Fibers 352

• 8.1 Fields at the Surface of and Within a Conductor 352
• 8.2 Cylindrical Cavities and Waveguides 356
• 8.3 Waveguides 359
• 8.4 Modes in a Rectangular Waveguide 361
• 8.5 Energy Flow and Attenuation in Waveguides 363
• 8.6 Perturbation of Boundary Conditions 366
• 8.7 Resonant Cavities 368
• 8.8 Power Losses in a Cavity; Q of a Cavity 371
• 8.9 Earth and Ionosphere as a Resonant Cavity:
• Schumann Resonances 374
• 8.10 Multimode Propagation in Optical Fibers 378
• 8.11 Modes in Dielectric Waveguides 385
• 8.12 Expansion in Normal Modes; Fields Generated by a Localized
• Source in a Hollow Metallic Guide 389
• References and Suggested Reading 395
• Problems 396

Chapter 9 / Radiating Systems, Multipole Fields and Radiation 407

• 9.1 Fields and Radiation of a Localized Oscillating Source 407
• 9.2 Electric Dipole Fields and Radiation 410
• 9.3 Magnetic Dipole and Electric Quadrupole Fields 413
• 9.4 Center-Fed Linear Antenna 416
• 9.5 Multipole Expansion for Localized Source or Aperture
• in Waveguide 419
• 9.6 Spherical Wave Solutions of the Scalar Wave Equation 425
• 9.7 Multipole Expansion of the Electromagnetic Fields 429
• 9.8 Properties of Multipole Fields, Energy and Angular Momentum
• of Multipole Radiation 432
• 9.9 Angular Distribution of Multipole Radiation 437
• 9.10 Sources of Multipole Radiation; Multipole Moments 439
• 9.11 Multipole Radiation in Atoms and Nuclei 442
• 9.12 Multipole Radiation from a Linear, Center-Fed Antenna 444
• References and Suggested Reading 448
• Problems 449

Chapter 10 / Scattering and Diffraction 456

• 10.1 Scattering at Long Wavelengths 456
• 10.2 Perturbation Theory of Scattering, Rayleigh's Explanation
• of the Blue Sky, Scattering by Gases and Liquids, Attenuation
• in Optical Fibers 462
• 10.3 Spherical Wave Expansion of a Vector Plane Wave 471
• 10.4 Scattering of Electromagnetic Waves by a Sphere 473
• 10.5 Scalar Diffraction Theory 478
• 10.6 Vector Equivalents of the Kirchhoff Integral 482
• 10.7 Vectorial Diffraction Theory 485
• 10.8 Babinet's Principle of Complementary Screens 488
• 10.9 Diffraction by a Circular Aperture; Remarks on Small
• Apertures 490
• 10.10 Scattering in the Short-Wavelength Limit 495
• 10.11 Optical Theorem and Related Matters 500
• References and Suggested Reading 506
• Problems 507

Chapter 11 / Special Theory of Relativity 514

• 11.1 The Situation Before 1900, Einstein's Two Postulates 515
• 11.2 Some Recent Experiments 518
• 11.3 Lorentz Transformations and Basic Kinematic Results of Special
• Relativity 524
• 11.4 Addition of Velocities; 4-Velocity 530
• 11.5 Relativistic Momentum and Energy of a Particle 533
• 11.6 Mathematical Properties of the Space-Time of Special
• Relativity 539
• 11.7 Matrix Representation of Lorentz Transformations, Infinitesimal
• Generators 543
• 11.8 Thomas Precession 548
• 11.9 Invariance of Electric Charge; Covariance of Electrodynamics 553
• 11.10 Transformation of Electromagnetic Fields 558
• 11.11 Relativistic Equation of Motion for Spin in Uniform or Slowly Varying
• External Fields 561
• 11.12 Note on Notation and Units in Relativistic Kinematics 565
• References and Suggested Reading 566
• Problems 568

Chapter 12 / Dynamics of Relativistic Particles
and Electromagnetic Fields 579

• 12.1 Lagrangian and Hamiltonian for a Relativistic Charged Particle
• in External Electromagnetic Fields 579
• 12.2 Motion in a Uniform, Static Magnetic Field 585
• 12.3 Motion in Combined, Uniform, Static Electric and Magnetic
• Fields 586
• 12.4 Particle Drifts in Nonuniform, Static Magnetic Fields 588
• 12.5 Adiabatic Invariance of Flux Through Orbit of Particle 592
• 12.6 Lowest Order Relativistic Corrections to the Lagrangian for Interacting
• Charged Particles: The Darwin Lagrangian 596
• 12.7 Lagrangian for the Electromagnetic Field 598
• 12.8 Proca Lagrangian; Photon Mass Effects 600
• 12.9 Effective "Photon" Mass in Superconductivity; London Penetration
• Depth 603
• 12.10 Canonical and Symmetric Stress Tensors; Conservation Laws 605
• 12.11 Solution of the Wave Equation in Covariant Form; Invariant Green
• Functions 612
• References and Suggested Reading 615
• Problems 617

Chapter 13 / Collisions, Energy Loss, and Scattering of Charged Particles,
Cherenkov and Transition Radiation 624

• 13.1 Energy Transfer in Coulomb Collision Between Heavy Incident Particle
• and Free Electron; Energy Loss in Hard Collisions 625
• 13.2 Energy Loss from Soft Collisions; Total Energy Loss 627
• 13.3 Density Effect in Collisional Energy Loss 631
• 13.4 Cherenkov Radiation 637
• 13.5 Elastic Scattering of Fast Charged Particles by Atoms 640
• 13.6 Mean Square Angle of Scattering; Angular Distribution of Multiple
• Scattering 643
• 13.7 Transition Radiation 646
• References and Suggested Reading 654
• Problems 655
• Chapter 14 / Radiation by Moving Charges 661
• 14.1 Lienard-Wiechert Potentials and Fields for a Point Charge 661
• 14.2 Total Power Radiated by an Accelerated Charge: Larmor's Formula
• and Its Relativistic Generalization 665
• 14.3 Angular Distribution of Radiation Emitted by an Accelerated
• Charge 668
• 14.4 Radiation Emitted by a Charge in Arbitrary, Extremely Relativistic
• Motion 671
• 14.5 Distribution in Frequency and Angle of Energy Radiated
• by Accelerated Charges: Basic Results 673
• 14.6 Frequency Spectrum of Radiation Emitted by a Relativistic Charged
• Particle in Instantaneously Circular Motion 676
• 14.7 Undulators and Wigglers for Synchrotron Light Sources 683
• 14.8 Thomson Scattering of Radiation 694
• References and Suggested Reading 697
• Problems 698

Chapter 15 / Bremsstrahlung, Method of Virtual Quanta,
Radiative Beta Processes 708

• 15.1 Radiation Emitted During Collisions 709
• 15.2 Bremsstrahlung in Coulomb Collisions 714
• 15.3 Screening Effects; Relativistic Radiative Energy Loss 721
• 15.4 Weizsacker-Williams Method of Virtual Quanta 724
• 15.5 Bremsstrahlung as the Scattering of Virtual Quanta 729
• 15.6 Radiation Emitted During Beta Decay 730
• 15.7 Radiation Emitted During Orbital Electron Capture: Disappearance
• of Charge and Magnetic Moment 732
• References and Suggested Reading 737
• Problems 737

Chapter 16 / Radiation Damping, Classical Models
of Charged Particles 745

• 16.1 Introductory Considerations 745
• 16.2 Radiative Reaction Force from Conservation of Energy 747
• 16.3 Abraham-Lorentz Evaluation of the Self-Force 750
• 16.4 Relativistic Covariance; Stability and Poincare Stresses 755
• 16.5 Covariant Definitions of Electromagnetic Energy
• and Momentum 757
• 16.6 Covariant Stable Charged Particle 759
• 16.7 Level Breadth and Level Shift of a Radiating Oscillator 763
• 16.8 Scattering and Absorption of Radiation by an Oscillator 766
• References and Suggested Reading 768
• Problems 769

Appendix on Units and Dimensions 775
1 Units and Dimensions, Basic Units and Derived Units 775
2 Electromagnetic Units and Equations 777
3 Various Systems of Electromagnetic Units 779
4 Conversion of Equations and Amounts Between SI Units
and Gaussian Units 782
Bibliography 785
Index 791

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