Modern problems in classical electrodynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Oxford Univ. Press
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XIII, 594 S. Ill. |
| ISBN: | 0195146654 |
Internformat
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| 100 | 1 | |a Brau, Charles A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Modern problems in classical electrodynamics |c Charles A. Brau |
| 264 | 1 | |a New York [u.a.] |b Oxford Univ. Press |c 2004 | |
| 300 | |a XIII, 594 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
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| 650 | 7 | |a Eletrodinâmica |2 larpcal | |
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Datensatz im Suchindex
| _version_ | 1804129306016743424 |
|---|---|
| adam_text | Titel: Modern problems in classical electrodynamics
Autor: Brau, Charles A
Jahr: 2004
Contents
Preface xi
Prologue 1
0.1 Introduction 1
0.2 Electrostatics 2
0.2.1 Charges 2
0.2.2 Forces and Electric Fields 3
0.2.3 Electric Potential 5
0.2.4 Energy in the Electric Field 6
0.3 Magnetostatics 8
0.3.1 Currents 9
0.3.2 Forces and Fields 10
0.3.3 Vector Potential 13
0.4 Electrodynamics 16
0.4.1 Conservation of Charge 16
0.4.2 Faraday s Law 1 6
0.4.3 Energy in the Magnetic Field 17
0.5 The Maxwell Equations and Electromagnetic Waves
0.5.1 The Maxwell-Ampere Law 19
0.5.2 Electromagnetic Waves 20
0.5.3 Potentials and Gauges 22
0.6 Conservation Laws 24
0.6.1 Poynting s Theorem 24
0.6.2 Conservation of Momentum 26
1. Relativistic Kinematics 29
l.l The Principles of Special Relativity 30
1.1.1 Historical Overview 3 0
1.1.2 Einstein s Postulates 33
1.1.3 Intervals 35
1.1.4 Proper Time 38
vi CONTENTS
1.2 The Lorentz Transformation 41
1.2.1 Rotation in 4-Space 41
1.2.2 Time Dilation and Length Contraction 46
1.2.3 Velocity Transformation 47
1.3 4-Vectors and 4-Tensors 49
1.3.1 Cartesian Tensors 49
1.3.2 Relativistic Metric and Lorentz Transformation 55
1.3.3 4-Vector Calculus 60
1.4 Electromagnetic Fields 63
1.4.1 The 4-Tensor Electromagnetic Field 63
1.4.2 Transformation of Electromagnetic Fields 67
2. Relativistic Mechanics and Field Theory 73
2.1 Relativistic Free Particle 73
2.1.1 Hamilton s Principle and the Calculus of Variations 73
2.1.2 Lagrangian for a Free Particle 78
2.1.3 Energy and Momentum 80
2.1.4 de Broglie Waves 83
2.1.5 Rotational Invariance and Angular Momentum 85
2.2 Charged Particle in a Vector Potential 90
2.2.1 Lagrangian Mechanics 90
2.2.2 Canonical Momentum 95
2.2.3 Canonical Equations of Motion 96
2.3 The Maxwell Equations 101
2.3.1 Equations of Motion of a Vector Field 101
2.3.2 Proca Mass Term 106
2.4 Invariance and Conservation Laws 110
2.4.1 Gauge Transformations 110
2.4.2 Symmetric Stress Tensor for the Electromagnetic Field 116
3. Time-Independent Electromagnetic Fields 125
3.1 Electrostatics 125
3.1.1 Coulomb s Law 125
3.1.2 Energy in Electrostatic Fields 12 9
3.1.3 Multipole Moments 130
3.2 Boundary-Value Problems with Conductors 137
3.2.1 Boundary Conditions and Uniqueness Theorems 137
3.2.2 Energy and Capacitance 139
3.2.3 Method of Images 143
3.2.4 Separation of Variables 145
3.2.5 Spheroidal Coordinates 149
3.2.6 Spherical Harmonics 157
3.2.7 Variational Methods 165
3.2.8 Numerical Methods 169
3.2.9 Green Functions 171
3.3 Magnetostatics 178
3.3.1 Biot-Savart Law 179
3.3.2 Forces and Energy 183
3.3.3 Multipole Moments 187
3.3.4 Magnetic Scalar Potential 192
Electromagnetic Waves 199
4.1 Plane Waves 199
4.1.1 Electric and Magnetic Fields in Plane Waves 199
4.1.2 Charged Particle in a Plane Wave 208
4.2 Canonical Equations of an Electromagnetic Field 214
4.2.1 Fourier Decomposition of the Field 215
4.2.2 Spontaneous Emission by a Harmonic Oscillator 218
4.2.3 Canonical Equations of the Electromagnetic Field 223
4.2.4 Blackbody Radiation and the Einstein Coefficients 227
4.3 Waves in Plasmas 233
4.3.1 Transverse Electromagnetic Waves 233
4.3.2 Longitudinal Electrostatic Waves 238
Fourier Techniques and Virtual Quanta 243
5.1 Fourier Transformation 243
5.1.1 Fourier s Theorem 243
5.1.2 Asymptotic Behavior of Fourier Transforms 247
5.1.3 5-Functions 251
5.1.4 Autocorrelation Functions and
the Wiener-Khintchine Theorem 252
5.1.5 Pulse Compression 260
5.2 Method of Virtual Quanta 265
5.2.1 Fourier Decomposition of the Field
of a Relativistic Charge 267
5.2.2 Bremsstrahlung 269
5.2.3 Excitation by a Fast Charged Particle 274
5.2.4 Transition Radiation 278
viii CONTENTS
6. Macroscopic Materials 282
6.1 Polarization and Magnetization 283
6.1.1 The Macroscopic Form of
the Maxwell Equations 283
6.1.2 The Constitutive Relations 290
6.1.3 Boundary Conditions 293
6.1.4 Magnetic Scalar Potential 300
6.1.5 Conservation of Energy and Poynting s Theorem 302
6.2 Properties of Dielectric and Magnetic Materials 308
6.2.1 Dielectric Materials 309
6.2.2 Magnetic Materials 312
7. Linear, Dispersive Media 318
7.1 Linear Media 318
7.1.1 Waves in a Nondispersive Medium 318
7.1.2 Constitutive Relations in Dispersive Media 319
7.1.3 Kramers-Kronig Relations 322
7.1.4 Plane Waves in Dispersive Media 326
7.1.5 Phase Velocity and Group Velocity 329
7.1.6 Conservation of Energy in Dispersive Media 334
7.1.7 Lorentz-Drude Model 342
7.2 Reflection and Refraction at Surfaces 349
7.2.1 Boundary Conditions 349
7.2.2 Dielectric Reflection 354
7.2.3 Metallic Reflection 358
7.2.4 Surface Waves 361
7.3 Energy Loss by Fast Particles Traveling Through Matter 364
7.3.1 Ionization and Excitation 3 64
7.3.2 Relativistic Limit and the Density Effect 371
8. Nonlinear Optics 377
8.1 Nonlinear Susceptibility 380
8.1.1 Nonlinear Polarization 380
8.1.2 Anisotropic Materials 384
8.2 Multiphoton Processes 391
8.2.1 Coupled-Wave Equation 391
8.2.2 Second-Harmonic Generation 394
8.2.3 Sum-Frequency Generation 400
___________Contents ix
8.3 Nonlinear Index of Refraction 406
8.3.1 Third-Order Susceptibility 406
8.3.2 Wave Equation with a Nonlinear Index of Refraction 414
8.3.3 Phase-Conjugate Reflection 419
8.4 Raman Processes 425
8.4.1 Raman Scattering 425
8.4.2 Coherent Raman Amplification 429
9. Diffraction 433
9.1 Geometrical Optics 433
9.1.1 Eikonal Approximation 43 3
9.1.2 Rays in Geometrical Optics 435
9.1.3 Integral Theorems 442
9.2 Gaussian Optics and Laser Resonators 444
9.2.1 Paraxial Approximation 444
9.2.2 Laser Resonators and Mode Spacing 450
9.2.3 Transverse Modes and Resonator Stability 453
9.3 Diffraction 456
9.3.1 Scalar Diffraction Theory 457
9.3.2 Fraunhofer Diffraction (Far Field) 462
9.3.3 Fresnel Diffraction (Near Field) 468
10. Radiation by Relativistic Particles 476
10.1 Angular and Spectral Distribution of Radiation 476
10.1.1 Fourier Decomposition of the Fields 476
10.1.2 Retarded Fields and Lienard-Wiechert Fields 480
10.1.3 Multipole Radiation 483
10.1.4 Spectral Distribution of Radiation from a Point Charge 489
10.1.5 Angular Distribution of Radiation from a Point Charge 492
10.1.6 Total Power Radiated by a Point Charge 494
10.2 Bremsstrahlung and Transition Radiation 498
10.2.1 Bremsstrahlung 498
10.2.2 Transition Radiation 504
10.3 Thomson Scattering 506
10.3.1 Linear Thomson Scattering 507
10.3.2 Nonlinear Thomson Scattering 509
10.4 Synchrotron Radiation and Undulator Radiation 516
10.4.1 Synchrotron Radiation 516
10.4.2 Undulator Radiation 523
x CONTENTS
10.5 Coherent Emission from Multiple Particles 532 . ¦
10.5.1 Coherence and Form Factor 532
10.5.2 Coherent Radiative Processes 534
10.6 Radiation from Relativistic Particles Traveling Through Matter 537
10.6.1 Angular Spectral Fluence 537
10.6.2 Cherenkov Radiation 539
11. Fundamental Particles in Classical Electrodynamics 545
11.1 Electromagnetic Mass and the Radiation Reaction 546
11.1.1 Difficulties in the Classical Theory 546
11.1.2 The 4/3 Problem and Poincare Stresses 549
11.1.3 Point Particles and the Radiation Reaction 553
11.1.4 Extended Particles 557
11.2 Magnetic Monopoles 565
11.2.1 The Maxwell Equations 565 —
11.2.2 Magnetic Monopoles and Charge Quantization 568
11.3 Spin 571
11.3.1 Relativistic Equations of Motion 571
11.3.2 Thomas Precession and Spin-Orbit Coupling 574
Appendix: Units and Dimensions 581
A.l Arbitrariness 581
A.2 SI Units 583
A.3 Gaussian Units 584
A.4 Conversion of Formulas Between SI and Gaussian Units
Index 590
f i -
586
!
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| institution | BVB |
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| spelling | Brau, Charles A. Verfasser aut Modern problems in classical electrodynamics Charles A. Brau New York [u.a.] Oxford Univ. Press 2004 XIII, 594 S. Ill. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Elektrodynamica gtt Eletrodinâmica larpcal Electrodynamics Elektrodynamik (DE-588)4014251-6 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Elektrodynamik (DE-588)4014251-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879904&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brau, Charles A. Modern problems in classical electrodynamics Elektrodynamica gtt Eletrodinâmica larpcal Electrodynamics Elektrodynamik (DE-588)4014251-6 gnd |
| subject_GND | (DE-588)4014251-6 (DE-588)4143389-0 |
| title | Modern problems in classical electrodynamics |
| title_auth | Modern problems in classical electrodynamics |
| title_exact_search | Modern problems in classical electrodynamics |
| title_full | Modern problems in classical electrodynamics Charles A. Brau |
| title_fullStr | Modern problems in classical electrodynamics Charles A. Brau |
| title_full_unstemmed | Modern problems in classical electrodynamics Charles A. Brau |
| title_short | Modern problems in classical electrodynamics |
| title_sort | modern problems in classical electrodynamics |
| topic | Elektrodynamica gtt Eletrodinâmica larpcal Electrodynamics Elektrodynamik (DE-588)4014251-6 gnd |
| topic_facet | Elektrodynamica Eletrodinâmica Electrodynamics Elektrodynamik Aufgabensammlung |
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