Advanced Electromagnetism and Vacuum Physics: Advanced Electromagnetism and Vacuum Physics.part13.rar

CONTENTS vii
PREFACE v
1 INTRODUCTION AND SURVEY 1
2 WAVE MEANING OF THE SPECIAL RELATIVITY THEORY . . . 5
2-1 Critical Review of the Interpretation of Special Relativity 5
2-2 Calculation of the Rectilinear Accelerated Motion of a Particle 8
2-3 Analysis of the Lorentz-Poincare Transformation 10
2-3-1 Constant Acceleration Motion 10
2-3-2 Constant Velocity Motion 10
2-4 Wave Meaning of the Lorentz-Poincare Transformation 11
2-5 Length Contraction and Time Dilation of a Moving Body 14
2-6 Comparison Between Elbaz and De Broglie Approaches 15
2-7 Different Meanings of the Lorentz-Poincare Transformation 16
2-8 The Concept of Simultaneity 21
2-9 Definition of Eulerian and Lagrangian Coordinates 23
2-9-1 Path Vector Definition 23
2-9-2 Lagrangian Definition 25
2-9-3 Eulerian Definition 31
2-9-4 Moving Grid Definition 33
2-9-5 Special Relativity Definition 34
3 CHANGE OF REFERENCE FRAME 35
3-1 Change of Reference Frame without Rotation 35
3-2 Change of Reference Frame with Rotation 37
3-2-1 Calculation of Positions in a Change of Reference Frame 38
3-2-2 Invariance of Distances in a Change of Reference Frame 39
3-2-3 Calculation of Velocities in a Change of Reference Frame 39
3-2-4 Calculation of Accelerations in a Change of Reference Frame . . . . 41
3-2-5 Derivative of a Vector in a Rotating Reference Frame 42
3-2-6 Equivalence Between the Lorentz Force and Non-inertial Terms . . . 43
3-2-7 Calculation of the Stress and Rotation Dyads in a Change of
Reference Frame 45
3-2-8 Covariance and Invariance of Quantities in a Change of Coordinates . 46
viii ADVANCED ELECTRO-MAGNETISM AND VACUUM PHYSICS
3-2-9 Covariance and Invariance of Quantities in a Change of
Reference Frame 47
3-3 The Relativistic Invariants and the Definition of Velocities 48
3-3-1 The Relativistic Invariants and the Lorentz Transformations . . . . 48
3-3-2 The Relativistic Invariants in Frequency-wave Number 51
3-3-3 The Relativistic Invariants in Space-time 52
4 RELATIVISTIC AND CLASSICAL MECHANICS 55
4-1 Definition of Absolute and Relative Quantities 55
4-2 The Addition Law of Velocities 59
4-3 Newton's Third Law and the Principle of Energy Conservation 66
4-3-1 Work of a Force Along a Trajectory 66
4-3-2 Work of a Force Along a Curve 67
4-3-3 Particular Definition of the Conservation Law of Energy 68
4-3-4 Fluid Definition of the Conservation Law of Energy 72
4-4 Principles of Relativity and Covariance in Galilean Mechanics 74
4-4-1 Principle of Relativity in Galilean Mechanics 74
4-4-2 Covariance and Invariance in a Change of Coordinates 78
4-4-3 Principle of Covariance in Galilean Mechanics 81
4-5 Principles of Relativity and Covariance in Relativistic Mechanics . . . . 84
4-5-1 Inertial Reference Frame and Principle of Equilibrium 86
4-5-2 The Reciprocity Concept and Newton's Third Law 88
4-5-3 The Concept of Speed Limit 92
4-5-4 Dependance of the Light Velocity on the Receiver Motion 94
4-6 Definitions of Potential and Kinetic Energy 94
4-6-1 Application of Newton's Third Law 95
4-6-2 Internal and External Forces in a System of Particles 99
4-6-3 Partition of Forces Using Jacobi Coordinates 102
4-7 Review of Angular Momentum Definition 105
4-7-1 Definition of Angular Momentum 105
4-7-2 Orbital and Spin Angular Momentums of a Particle System . . . 106
4-8 Experimental Tests of Partition of Forces Between Internal and
External Forces 109
4-8-1 Elastic Collision Between Two Particles 109
4-8-2 Inelastic Collision Between Two Particles 113
CONTENTS ix
4-8-3 Energy and Momentum of a System of Relativistic Particles . . . 114
4-8-4 Collision of Radiation with Matter 115
4-8-5 The Tolman Experiment 120
4-8-6 The Graham and Lahoz Experiment 122
4-8-7 The Barnett Experiment 125
5 EXPERIMENTAL TESTS OF SPECIAL RELATIVITY 129
5-1 Doppler and Aberration Effects 129
5-1-1 Definition of Wave Propagation 129
5-1-2 Classical Doppler Effect and the Galilean Transformation . . . . 130
5-1-3 Classical Doppler Effect and the Inhomogeneous Waves 134
5-1-4 The Doppler Radar 136
5-1-5 Relativistic Doppler Effect 136
5-1-6 Aberration Effect 142
5-1-7 Aberration Effect for a Wave 142
5-2 The Sagnac and Michelson Interferometer Experiments 145
5-2-1 The Sagnac Experiment 145
5-2-2 The Michelson and Morley Experiment 150
5-3 The Fizeau Effect 157
5-4 Compton Effect 160
5-4-1 Corpuscular Theory of the Compton Effect 160
5-4-2 Analysis of Recoil Electrons 163
5-4-3 Wave Theory of the Compton Effect 164
5-5 The Mossbauer Effect 165
5-5-1 Experimental Confirmation of the Mossbauer Effect 166
5-5-2 Applications of the Mossbauer Effect 168
5-5-3 Corpuscular Theory of the Mossbauer Effect 169
5-6 The Twin Paradox 170
5-6-1 Case of a Rectilinear Motion 172
5-6-2 Case of a Rotational Motion 175
5-7 The Luminiferous Ether, a Necessity 180
5-8 Are the Relativistic Effects Second-order in U/c? 184
6 PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER 187
6-1 Definition of the Wave Equation 187
x ADVANCED ELECTROMAGNETISM AND VACUUM PHYSICS
6-1-1 Case of a Homogeneous Medium 187
6-1-2 Case of an Inhomogeneous Medium 188
6-1-3 Differential Calculus and Second-order Particular Derivative . . . 189
6-1-4 Operators Applied to Functions of Two Variables 192
6-1-5 Operators and Jacobi Coordinates 194
6-2 Spectral Analysis of the Wave Equation 197
6-3 Conservation Laws of the Wave Equation 199
6-4 Method of Separation of Variables 201
6-4-1 Case of Cartesian Coordinates 201
6-4-2 Case of Cylindrical Coordinates 202
6-4-3 Case of Spherical Coordinates 203
6-4-4 Solution of the Helmholtz Inhomogeneous Equation 205
6-5 Review of the Dissipation Concept 208
6-5-1 Definition of Dissipation 208
6-5-2 Relationship Between Dissipation, Causality and the Wave Concept 210
6-6 Review of the Dispersion Concept 213
6-6-1 Definition of Dispersion 213
6-6-2 Analysis of Dispersion in the Vacuum 217
6-6-3 Definition of Light Velocity 219
6-6-4 Transmission Line Theory 219
6-6-5 Vacuum Conductivity and the Speed Limit 222
6-6-6 The Tired-light Mechanism of Redshift in the Vacuum 223
6-7 Hyperbolic Equations of Second-order and the Soliton 224
6-7-1 The Schrodinger Equation 224
6-7-2 The Wave Equation and the Focus Wave Modes 227
6-7-3 The de Broglie and Klein-Gordon Equations 230
6-7-4 The Telegrapher Equation 234
6-7-5 Finite Energy Solutions 235
6-8 The Helmholtz Theorem 239
6-8-1 Integral Spatial Solution 240
6-8-2 Fourier Analysis 241
6-8-3 Integral Solution in Space-time 243
6-8-4 Application to Maxwell-Ferrier Equations 244
CONTENTS xi
6-9 Analysis of Rotational Fields 245
6-9-1 Analysis of Beltrami and Trkal Fields 249
6-9-2 Force-free Fields and the Virial Theorem 251
6-9-3 Ordinary Fields and the Superposition Principle 252
6-9-4 Hansen Decomposition and the Beltrami Field 254
6-9-5 Hansen Decomposition in Different Coordinate Systems 256
7 THE WAVE PACKET CONCEPT 261
7-1 Point-particle Versus Wave Packet 261
7-2 Spectral Analysis of the Mackinnon Wave Packet 263
7-3 Acceleration of a Wave Packet 267
7-4 The Electron as a Wave Packet 270
7-5 Vibration, Wave and Propagation 272
7-6 Analysis of the Size of a Signal 274
7-6-1 Analysis of Radiation of an Extended Source 274
7-6-2 Space-time Analysis of a Signal 277
7-6-3 Heisenberg Uncertainty Principle 279
7-7 Quantization of Oscillating Waves of the Ether 282
7-7-1 Continuity Versus Discontinuity 284
7-7-2 Case of Classical Mechanics 287
7-7-3 Case of a Harmonic Oscillator 290
7-7-4 Case of Relativistic Mechanics 294
7-8 The Relativistic Mass-increase with Velocity 298
7-8-1 Constant Force and Hyperbolic Motion 301
7-8-2 Classical Explanation of the Gamma Term 302
7-8-3 The Bertozzi Experiment 306
7-9 Matter Waves 306
7-9-1 The Lande Paradox and the Doppler Effect 306
7-9-2 Matter Waves, Radiation and Creation of Particles 307
7-9-3 Matter Waves and Inhomogeneous Waves 308
7-10 Formalism of Lagrange-Hamilton 311
7-10-1 Case of Classical Mechanics 311
7-10-2 Case of Relativistic Mechanics 313
7-10-3 Variational Formulation 316
xii ADVANCED ELECTROMAGNETISM AND VACUUM PHYSICS
7-11 The Ray Theory 319
7-11-1 Analysis of Propagation in an Inhomogeneous Medium 319
7-11-2 Geometrical Optics 325
7-11-3 Electron Optics 330
8 ELECTROMAGNETISM 333
8-1 The Wave-particle Duality of Light 333
8-2 Analysis of the Phase Concept 336
8-2-1 Pfaff Phase Definition 336
8-2-2 Whitham Phase Definition 338
8-2-3 Analysis of a Fourier Mode 339
8-3 Analogy Between the Moving Grid Formulation and the Transmission
Line Theory 341
8-3-1 Maxwell-Proca Equations 343
8-3-2 Maxwell-Proce and De Broglie Equations 345
8-3-3 Signification of the Photon Mass 346
8-4 The Integrating Factor Method 347
8-4-1 Maxwell-Ferrier Equations 349
8-3-2 Different Formulations of Potential 354
8-5 Definitions of Energy and Momentum Conservation Laws 356
8-5-1 Conservation Laws for the Potentials 357
8-5-2 Conservation Laws for the Electromagnetic Field . . . . . . . 359
8-5-3 Maxwell's Equations and Newton's Third Law 364
8-5-4 The Angular Momentum of the Electromagnetic Field 367
8-6 The Principle of Superposition of Fields 367
8-6-1 Case of Light Interferences 368
8-6-2 Case of Electrostatic Fields 370
8-6-3 The Linear Circuit Theory 372
8-6-4 The Carson Reciprocity Theorem 376
8-6-5 Case of the Antenna Radiation 381
8-7 The Energy Conservation and the Radiation Reaction Force 387
8-8 Different Formulations of Maxwell's Equations 391
8-8-1 Maxwell's Equations and the Galilean Transformation 391
8-8-2 Mathematical Formulations of Faraday and Ampere Laws . . . . 395
CONTENTS xiii
8-9 The Lorentz Magnetic Force and the Definition of Velocity 404
9 ELECTROMAGNETIC INDUCTION 409
9-1 Theoretical Analysis of Electromagnetic Induction 409
9-1-1 Case of the Transformer 411
9-1-2 Analysis of the Lenz Law 413
9-1-3 Experimental Analysis of the Induction Effect 421
9-2 Investigation of Topological Effects in Physics 425
9-2-1 Analysis of Helicity 426
9-2-2 Time Derivative of Helicity 430
9-2-3 Topological Effect Associated to Voltage Measurement 434
9-2-4 The Aharonov-Bohm Effect 437
9-3 Decomposition of the Electromagnetic Field 445
9-3-1 Gauge Transforms 448
9-3-2 Lorenz and Coulomb Gauges 450
10 AMPERE AND LORENTZ FORCES 453
10-1 Description of Ampere Experiments 453
10-2 Comparison of Ampere and Lorentz Forces 454
10-3 Volume Expressions of Ampere and Lorentz Forces 457
10-4 Calculation of the Self-interaction of a Circuit 462
10-5 Experimental Tests of the Ampere Force 465
10-6 Curvilinear Expression of the Ampere Force 467
10-7 The Weber Potential 470
10-8 Calculation of the Lorentz Force Between Two Charged Particles . . . 473
10-9 Fluid Approach of the Stimulated Force Calculation 484
10-10 The Trouton-Noble Experiment 486
10-11 The Biefeld-Brown Experiment 490
10-12 Experiments with Charged Discs 492
10-13 The Electrostatic Pendulum Experiment 494
10-14 The Concept of Charge 498
10-14-1 Analysis of the Charge Concept 498
10-14-2 Quantization of Charge 500
11 THE LIENARD-WIECHERT POTENTIAL 501
11-1 The Lienard-Wiechert Potential for a Constant Velocity 501
xiv ADVANCED ELECTROMAGNETISM AND VACUUM PHYSICS
11-1-1 Calculation of the Potential for U< c 503
11-1-2 Calculation of the Potential fori/ > c 503
11-1-3 Calculation of the Potential with a Null Initial Condition . . . . 504
11-1-4 Calculation of Advanced and Retarded Potentials 506
11-1-5 The Lienard-Wiechert Potential and the
Lorentz Transformation 508
11-1-6 The Lienard-Wiechert Potential and the Galilean Transformation . 509
11-2 Calculation of the Lienard-Wiechert Potential for any Velocity . . . . 514
11-2-1 The Fourier-Bessel Method 514
11-2-2 The Green Method 516
11-3 Calculation of the Vector Potential in Coulomb Gauge 519
12 ANALYSIS OF THE ELECTROMAGNETIC FIELD 523
12-1 Remarks on the Concept of Speed Limit 523
12-2 Conditions for the Existence of Radiation 524
12-1-1 Analysis from the Potential 524
12-1-2 Analysis from the Electromagnetic Field 526
12-3 Critical Review of the Radiation Concept 529
12-4 Calculation of the Lamb Shift 530
12-5 Derivation of Retarded and Advanced Quantities 533
12-5-1 Calculation of Time Derivatives 534
12-5-2 Calculation of Space Derivatives 535
12-6 Field Calculations from the Lienard-Wiechert Formulation 537
12-7 Field Calculations from the Feynman Formulation 540
12-8 Field Calculations with Initial Conditions 541
12-9 Field Calculations Far from the Charge 542
12-10 Relationship Between the Radiated Power and the Absorbed Power by
Unit of Solid Angle 544
12-11 Power Radiated by a Charge 545
12-11-1 Calculation from the Electric Field 545
12-11-2 Calculation from the Particle Acceleration 547
12-11-3 Angular and Spectral Distribution of the Energy Received by
an Observer 548
13 PHOTONICS VERSUS ELECTROMAGNETISM 551
13-1 Definitions and Basic Concepts in Radiative Transfer 551
CONTENTS xv
13-1-1 Spectral Radiative Intensity 551
13-1-2 Spectral Radiative Energy 552
13-1-3 Spectral Radiative Flux 552
13-1-4 Spectral Radiative Pressure 553
13-1-5 The Ray Concept 554
13-2 The Blackbody Radiation 555
13-3 Working Principle of the Laser 556
13-4 The Correlation Function 558
13-5 Comparison Between Photonics and Electromagnetism 562
13-6 Decomposition of the Radiation Field in Fourier Modes 566
13-7 Stochastic Electrodynamics 568
14 RADIATION OF EXTENDED SOURCES 571
14-1 Analysis of the Dipole in Uniform Motion 571
14-1-1 The Hertz Formulation 571
14-1-2 Calculation of the Electromagnetic Field 572
14-2 The Radiation of Antennas 575
14-2-1 Analysis of the Antenna Radiation Field 575
14-2-2 The Part Played by the Ions in the Operation of an Antenna . . 579
14-2-3 Different Operating Modes of an Antenna 580
14-3 Analysis of the Radiative Wiggler 583
14-3-1 Operation of a Free Electron Laser 583
14-3-2 Analysis of a Free Electron Laser 587
14-3-3 Analysis of the Smith-Purcell Radiation 588
15 THE GREEN FORMULATION 591
15-1 Definition of the Green Formulation 591
15-1-1 Scalar Case 591
15-1-2 Vectorial Case 592
15-1-3 Dyadic Case 592
15-2 Analysis of the Green Formulation 594
15-2-1 Scalar Case 594
15-2-2 Vectorial Case 596
15-2-3 Dyadic Case 599
15-2-4 Stratton Formulation 602
xvi ADVANCED ELECTROMAGNETISM AND VACUUM PHYSICS
15-3 The Helmhotz-Kirchhoff Principle 604
15-3-1 Scalar Formulation of the Helmholtz-Kirchhoff Principle . . . . 604
15-3-2 The Fresnel and Fraunhofer Diffraction 608
15-3-3 Vectorial Formulation of the Helmholtz-Kirchhoff Principle . . . 609
15-4 Application to Electromagnetism in a Material Medium 609
15-4-1 The Fizeau Effect, First Approach 611
15-4-2 The Fizeau Effect, Second Approach 612
15-4-3 Case of a Medium at Rest 614
15-5 The Green Formulation in an Infinite Space 615
15-6 The Green Formulation in Space-time 619
16 WAVE EXTINCTION IN A DIELECTRIC 625
16-1 The Polarization Vector 625
16-2 The Lalor Extinction Theorem 627
16-3 The Sein Extinction Theorem 629
16-4 The Pattanayak-Wolf Extinction Theorem 630
16-4-1 Case of a Source Localized in V 630
16-4-2 Case of a Source Localized in V 631
16-4-3 Discontinuities of the Electromagnetic Field 632
16-4-4 The Formulation of Pattanayak-Wolf 633
16-5 Application of the Extinction Theorem 635
16-5-1 The Laws of Reflection and Refraction 635
16-5-2 The Laws of Diffusion and Diffraction 635
17 PLASMA EQUATION 637
17-1 Moments of the Boltzmann Equation 638
17-2 The Maxwellian Distribution Function 640
17-3 Hydrodynamic Equations of a Plasma 641
17-3-1 Case of a Two-fluid Plasma 641
17-3-2 Case of a One-fluid Plasma 643
17-3-3 Energetic Balance of a Moving Plasma 649
17-3-4 Calculation of the Generalized Ohm's Law 651
17-3-5 Motion of Magnetic Field Lines 654
17-4 Link with the Maxwell's Equations 655
17-5 Analysis of Plasma Rotations in Pinches 656
CONTENTS xvii
17-6 Plasma Confinement and the Bennett Condition 660
17-6-1 Virial Theorem 660
17-6-2 Self-confinement of a Plasma 661
17-6-3 Bennett Conditions for the 9-Pinch and Z-Pinch 663
18 CONCLUSION 667
19 APPENDIX 671
19-1 Elementary Relations of Fluid Mechanics 671
19-1-1 Application to the Case of an Inhomogeneous Wave 673
19-1-2 Calculations of Length, Surface and Volume Variations 674
19-2 Particular Derivative of an Integral 676
19-2-1 Kinematics of a Line Integral 676
19-2-2 Kinematics of a Surface Integral 677
19-2-3 Kinematics of a Volume Integral 678
19-3 Cauchy Method of Integration 682
19-4 Fourier Transforms 684
19-4-1 Definitions of Fourier Transforms 684
19-4-2 Definition of the Dirac Distributions 684
19-4-3 Definition of the Heaviside Distributions 685
19-4-4 Definitions of Convolution Laws 686
19-5 Review of Operations with Complex Quantities 688
19-6 Analysis of a Definite Positive Quadratic From 690
19-7 Analysis of the Continuity Equation 693
19-7-1 Case of a Fixed Volume with Flux 693
19-7-2 Case of a Moving Volume without Flux 693
19-7-3 Case a Moving Volume with Flux 694
19-7-4 Conservation of Charge 694
19-8 Eulerian Formulation of the Energy Density Conservation Law . . . . 695
19-9 Macroscopic Models of Matter 696
19-9-1 Relative Quantities 697
19-9-2 Absolute Quantities 699
19-9-3 Definition of the Magnetic Dipole Moment 702
19-10 Calculation of an Integral Related to the Wave Equation 708
19-11 Calculation of the Green Function with the Fourier Method 709
xviii ADVANCED ELECTROMAGNETISM AND VACUUM PHYSICS
19111 Absolute Green Function 709
19-11-2 Relative Green Function 711
19-12 Definition of the Solid Angle 712
19-12-1 Definition of the Scalar Solid Angle 712
19-12-2 Definition of the Vectorial Solid Angle 713
19-12-3 Definition of the Dyadic Solid Angle 713
19-13 Elementary Properties of Bessel Functions 714
19-14 Elementary Properties of Dirac Distribution 715
19-15 Vectorial and Tensorial Relations 716
20 BIBLIOGRAPHY 723
INDEX 759

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谢谢啦

呵呵，下来学习一下:27bb :30bb

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thank you for your sharing:11bb

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！

楼主爆发了，发这么书，为什么每本书都要回复！没词了。

：15de     感觉好像很深的书

真空物理和电磁场结合的书很少见，在这里支持一下楼主！！:30bb :31bb

多谢楼主
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:11bb :11bb :11bb

:11bb :11bb :11bb :11bb :11bb :11bb ：17de ：17de ：17de ：17de ：17de ：17de

呵呵，下来学习一下,谢谢楼主
:11bb

好东西自然受到欢迎 :27bb :27bb :27bb

:27bb :27bb :27bb :27bb

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真空物理的书一定要下载下来学习学习

好资料，先奖励，再下载

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支持楼主 谢谢

支持楼主 谢谢  

谢谢慷慨的楼主

你要查看本帖隐藏内容请回复

这方面的资料难得，收下了，谢谢

我 太感激楼主共享了这么的书籍

好书，谢谢分享！

谢谢啦！:53bb

这书看着很高级，收藏了再说

学习

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谢谢楼主，看下前沿知识

好书，谢谢楼主分享

谢谢分享

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