Classical electrodynamics:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u. a.]
Wiley
1975
|
| Ausgabe: | 2. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019132368&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XXII, 848 S. |
| ISBN: | 047143132X |
Internformat
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| 245 | 1 | 0 | |a Classical electrodynamics |c John David Jackson |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u. a.] |b Wiley |c 1975 | |
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Datensatz im Suchindex
| _version_ | 1819336661813690368 |
|---|---|
| adam_text | Contents
Introduction and Survey
1 1 Maxwell Equations in Vacuum, Fields, and Sources 2
1 2 The Inverse Square Law or the Mass of the Photon 5
1 3 Linear Superposition 10
1 4 The Maxwell Equations in Macroscopic Media 13
1 5 Boundary Conditions at Interfaces between Different Media 17
1 6 Some Remarks on Idealizations in Electromagnetism 22
References and Suggested Reading 25
Chapter 1 Introduction to Electrostatics 27
1 1 Coulomb’s Law 27
1 2 Electric Field 28
1 3 Gauss’s Law 30
1 4 Differential Form of Gauss’s Law 32
1 5 Another Equation of Electrostatics and the Scalar Potential 33
1 6 Surface Distributions of Charges and Dipoles and Discontinuities in the
Electric Field and Potential 35
1 7 Poisson and Laplace Equations 38
1 8 Green’s Theorem 40
1 9 Uniqueness of the Solution with Dirichlet or Neumann Boundary Condi
tions 42
1 10 Formal Solution of Electrostatic Boundary-Value Problem with Green
Function 43
1 11 Electrostatic Potential Energy and Energy Density, Capacitance 45
References and Suggested Reading 49
Problems 49
Chapter 2 Boundary-Value Problems in
Electrostatics: I 54
2 1 Method of Images 54
2 2 Point Charge in the Presence of a Grounded Conducting Sphere 55
2 3 Point Charge in the Presence of a Charged, Insulated, Conducting Sphere 58
2 4 Point Charge Near a Conducting Sphere at Fixed Potential 60
2 5 Conducting Sphere in a Uniform Electric Field by the Method of Images 60
2 6 Green Function for the Sphere, General Solution for the Potential 62
2 7 Conducting Sphere with Hemispheres at Different Potentials 63
2 8 Orthogonal Functions and Expansions 65
xv
Contents
2 9 Separation of Variables, Laplace Equation in Rectangular Coordinates 68
2 10 A Two-dimensional Potential Problem, Summation of a Fourier Series 71
2 11 Fields and Charge Densities in Two-dimensional Comers and Along Edges 75
References and Suggested Reading 78
Problems 79
Chapter 3 Boundary-Value Problems in
Electrostatics: II 84
3 1 Laplace Equation in Spherical Coordinates 84
3 2 Legendre Equation and Legendre Polynomials 85
3 3 Boundary-Value Problems with Azimuthal Symmetry 90
3 4 Behavior of Fields in a Conical Hole or near a Sharp Point 94
3 5 Associated Legendre Functions and the Spherical Harmonics Yb» (0, tf ) 98
3 6 Addition Theorem for Spherical Harmonics 100
3 7 Laplace Equation in Cylindrical Coordinates, Bessel Functions 102
3 8 Boundary-Value Problems in Cylindrical Coordinates 108
3 9 Expansion of Green Functions in Spherical Coordinates 110
3 10 Solution of Potential Problems with Spherical Green Function Expansion 113
3 11 Expansion of Green Functions in Cylindrical Coordinates 116
3 12 Eigenfunction Expansions for Green Functions 119
3 13 Mixed Boundary Conditions, Conducting Plane with a Circular Hole 121
References and Suggested Reading 127
Problems 128
Chapter 4 Multipoles, Electrostatics of
Macroscopic Media, Dielectrics 136
4 1 Multipole Expansion 136
4 2 Multipole Expansion of the Energy of a Charge Distribution in an External
Field 142
4 3 Elementary Treatment of Electrostatics with Ponderable Media 143
4 4 Boundary-Value Problems with Dielectrics 147
4 5 Molecular Polarizability and Electric Susceptibility 152
4 6 Models for the Molecular Polarizability 155
4 7 Electrostatic Energy in Dielectric Media 158
References and Suggested Reading 163
Problems 163
Chapter 5 Magnetostatics 168
5 1 Introduction and Definitions 168
5 2 Biot and Savart Law 169
xvi
5 3 The Differential Equations of Magnetostatics and Ampere’s Law 173
5 4 Vector Potential 175
5 5 Vector Potential and Magnetic Induction for a Circular Current Loop 177
5 6 Magnetic Fields of a Localized Current Distribution, Magnetic Moment 180
5 7 Force and Torque on and Energy of a Localized Current Distribution in an
External Magnetic Induction 184
5 8 Macroscopic Equations, Boundary Conditions on B and H 187
5 9 Methods of Solving Boundary-Value Problems in Magnetostatics 191
5 10 Uniformly Magnetized Sphere 194
5 11 Magnetized Sphere in an External Field, Permanent Magnets 197
5 12 Magnetic Shielding, Spherical Shell of Permeable Material in a Uniform
Field 199
5 13 Effect of a Circular Hole in a Perfectly Conducting Plane with an
Asymptotically Uniform Tangential Magnetic Field on One Side 201
References and Suggested Reading 204
Problems 205
Chapter 6 Time-Varying Fields, Maxwell
Equations, Conservation Laws 209
6 1 Faraday’s Law of Induction 210
6 2 Energy in the Magnetic Field 213
6 3 Maxwell’s Displacement Current, Maxwell Equations 217
6 4 Vector and Scalar Potentials 219
6 5 Gauge Transformations, Lorentz Gauge, Coulomb Gauge 220
6 6 Green Functions for the Wave Equation 223
6 7 Derivation of the Equations of Macroscopic Electromagnetism 226
6 8 Poynting s Theorem and Conservation of Energy and Momentum for a
System of Charged Particles and Electromagnetic Fields 236
6 9 Conservation Laws for Macroscopic Media 240
6 10 Poynting’s Theorem for Harmonic Fields, Field Definitions of Impedance
and Admittance 241
6 11 Transformation Properties of Electromagnetic Fields and Sources under
Rotations, Spatial Reflections, and Time Reversal 245
6 12 On the Question of Magnetic Monopoles 251
6 13 Discussion of the Dirac Quantization Condition 254
References and Suggested Reading 260
Problems 261
Chapter 7 Plane Electromagnetic Waves and
Wave Propagation 269
7 1 Plane Waves in a Nonconducting Medium 269
7 2 Linear and Circular Polarization, Stokes Parameters 273
Contents xvii
7 3 Reflection and Refraction of Electromagnetic Waves at a Plane Interface
between Dielectrics 278
7 4 Polarization by Reflection and Total Internal Reflection 282
7 5 Frequency Dispersion Characteristics of Dielectrics, Conductors, and
Plasmas 284
7 6 Simplified Model of Propagation in the Ionosphere and Magnetosphere 292
7 7 Waves in a Conducting or Dissipative Medium 296
7 8 Superposition of Waves in One Dimension, Group Velocity 299
7 9 Illustration of the Spreading of a Pulse as It Propagates in a Dispersive
Medium 303
7 10 Causality in the Connection between D and E, Kramers-Kronig Relations 306
7 11 Arrival of a Signal After Propagation Through a Dispersive Medium 313
References and Suggested Reading 326
Problems 327
Chapter 8 Wave Guides and Resonant Cavities 334
8 1 Fields at the Surface of and within a Conductor 335
8 2 Cylindrical Cavities and Wave Guides 339
8 3 Wave Guides 343
8 4 Modes in a Rectangular Wave Guide 345
8 5 Energy Flow and Attenuation in Wave Guides 346
8 6 Perturbation of Boundary Conditions 350
8 7 Resonant Cavities 353
8 8 Power Losses in a Cavity, O of a Cavity 356
8 9 Earth and Ionosphere as a Resonant Cavity, Schumann Resonances 360
8 10 Dielectric Wave Guides 364
8 11 Expansion in Normal Modes, Fields Generated by a Localized Source in
Guide 369
8 12 Reflection and Transmission by Plane Diaphragms, Variational Approxi
mation 375
8 13 Impedance of a Flat Strip Parallel to the Electric Field in a Rectangular
Wave Guide 380
References and Suggested Reading 384
Problems 385
Chapter 9 Simple Radiating Systems, Scattering,
and Diffraction 391
9 1 Fields and Radiation of a Localized Oscillating Source 391
9 2 Electric Dipole Fields and Radiation 394
9 3 Magnetic Dipole and Electric Quadrupole Fields 397
9 4 Center-fed Linear Antenna 401
9 5 Multipole Expansion for Localized Source or Aperture in Wave Guide 405
xviii Contents
Contents
9 6 Scattering at Long Wavelengths
9 7 Perturbation Theory of Scattering, Rayleigh’s Explanation of the Blue Sky,
Scattering by Gases and Liquids
9 8 Scalar Diffraction Theory
9 9 Vector Equivalents of Kirchhoff Integral
9 10 Vectorial Diffraction Theory
9 11 Babinet’s Principle of Complementary Screens
9 12 Diffraction by a Circular Aperture, Remarks on Small Apertures
9 13 Scattering in the Short-Wavelength Limit
9 14 Optical Theorem and Related Matters
References and Suggested Reading
Problems
Chapter 10 Magnetohydrodynamics and Plasma
Physics
10 1 Introduction and Definitions
10 2 Magnetohydrodynamic Equations
10 3 Magnetic Diffusion, Viscosity, and Pressure
10 4 Magnetohydrodynamic Flow between Boundaries with Crossed Electric
and Magnetic Fields
10 5 Pinch Effect
10 6 Instabilities in a Pinched Plasma Column
10 7 Magnetohydrodynamic Waves
10 8 Plasma Oscillations
10 9 Short-wavelength Limit on Plasma Oscillations and the Debye Screening
Distance
References and Suggested Reading
Problems
Chapter 11 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, Four-Velocity
11 5 Relativistic Momentum and Energy of a Particle
11 6 Mathematical Properties of the Space-Time 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
xix
Chapter 17 Radiation Damping, Self-Fields of a
Particle, Scattering and Absorption
of Radiation by a Bound System 780
17 1 Introductory Considerations 780
17 2 Radiative Reaction Force from Conservation of Energy 783
17 3 Abraham-Lorentz Evaluation of the Self-Force 786
17 4 Difficulties with the Abraham-Lorentz Model 790
17 5 Covariant Definitions of Electromagnetic Energy and Momentum 791
17 6 Integrodifferential Equation of Motion, Including Radiation Damping 796
17 7 Line Breadth and Level Shift of an Oscillator 798
17 8 Scattering and Absorption of Radiation by an Oscillator 801
References and Suggested Reading 806
Problems 807
Appendix on Units and Dimensions 811
1 Units and Dimensions, Basic Units and Derived Units 811
2 Electromagnetic Units and Equations 813
3 Various Systems of Electromagnetic Units 816
4 Conversion of Equations and Amounts between Gaussian Units and
MKSA Units 817
Bibliography 822
xxii Contents
Index 828
|
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| isbn | 047143132X |
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| title | Classical electrodynamics |
| title_auth | Classical electrodynamics |
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| title_fullStr | Classical electrodynamics John David Jackson |
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