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| Jackson J.D. — Classical electrodynamics |
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| Предметный указатель |
Potential, of point charge, in rectangular box 128—129
Potential, polarization (Hertz vectors) 280f
Potential, scalar and vector, for time-varying fields 239
Power flow see "Energy flow"
Power loss, because of finite conductivity 221 355—356 see
Power loss, in resonant cavity 371f
Power loss, in wave guide 363f
Power loss, per unit area, at surface of conductor 356
Power, instantaneous radiated, (l, m) multipole 437
Power, instantaneous radiated, by accelerated charge 665—666 701
Power, instantaneous radiated, charged particles in linear and circular accelerators 667
Power, instantaneous radiated, electrons in undulators 689—691
Power, instantaneous radiated, linear antenna, angular distributions of 417 447
Power, instantaneous radiated, oscillating dipole 411—412 437
Power, instantaneous radiated, oscillating quadrupole 414—415 437
Power, instantaneous radiated, radiated by, charge in arbitrary periodic motion 702
Poynting vector 259
Poynting vector, for plane wave 298
Poynting vector, in wave guide 363
Poynting vector, uniqueness 259
Poynting's theorem 258f
Poynting's theorem, covariant generalization of 607 610
Poynting's theorem, for dispersive and dissipative media 262
Poynting's theorem, for harmonic fields 264f
Precession frequency, of particle in magnetic field 317 585
Precession, of spin, Thomas 548f 564
Precursor, Brillouin (second) 338
Precursor, Brillouin (second), Sommerfeld (first) 338
Pressure, radiation 288
Proca Lagrangian 600
Propagation, in anisotropic dielectric 346 see
Propagation, in dispersive medium 322f 326f
Propagation, in ionosphere 316f 345
Propagation, of signal incident on dispersive medium 335f
Proper time 528
Pseudoscalar, -tensor, -vector, definitions of 270
Q, of resonant cavity, definition of 371
Q, of right circular cylindrical cavity 373
Q, of Schumann resonances 377 399
Q, of spherical cavity 455
Q, physical interpretation of 373
Quadrupole moment, electrostatic 146 see
Quadrupole moment, interaction of, with field gradient 150 171
Quadrupole moment, nuclear 151
Quadrupole moment, of oscillating source 414
Quantization of charge, Dirac's argument for 275f
Quantum-mechanical modifications, in bremsstrahlung 717
Quantum-mechanical modifications, in elastic scattering 641
Quantum-mechanical modifications, in energy loss 629—630
Quasi-static approximation 218
Radiated electromagnetic energy, Lorentz trans-formation properties of 617
Radiation condition for asymptotic fields 479
Radiation cross section, definition of 715
Radiation cross section, for classical bremsstrahlung 716
Radiation cross section, for nonrelativistic bremsstrahlung 717
Radiation cross section, for relativistic bremsstrahlung 718—719
Radiation cross section, in complete screening limit 722
Radiation damping see "Radiative reaction"
Radiation fields 408—409
Radiation fields, of (l, m) multipole 433
Radiation fields, of charge in arbitrary motion 664
Radiation length 724
Radiation pressure 288
Radiation resistance 267
Radiation resistance, of short linear antenna 412—413
Radiation zone 408
Radiation zone, in diffraction 491
Radiation, by accelerated charge, angular and frequency distribution of, for charge in arbitrary motion 675—676
Radiation, by accelerated charge, angular and frequency distribution of, for charge in periodic motion 702
Radiation, by accelerated charge, angular and frequency distribution of, for moving magnetic moment 704
Radiation, by accelerated charge, angular and frequency distribution of, for relativistic charge, qualitative aspects of 671—673
Radiation, by accelerated charge, angular and frequency distribution of, in undulators 689—691
Radiation, by accelerated charge, angular distribution of 668f
Radiation, by accelerated charge, by relativistic charge in instantaneously circular orbit 676f
Radiation, by accelerated charge, by relativistic charge invariant and coordinate-free form 702
Radiation, by accelerated charge, emitted in, beta decay 730f
Radiation, by accelerated charge, emitted in, collisions 709f see
Radiation, by accelerated charge, emitted in, orbital electron capture 732f
Radiation, by accelerated charge, for relativistic particles 668f
Radiation, by accelerated charge, from electric dipole 411
Radiation, by accelerated charge, from electric quadrupole 414—415
Radiation, by accelerated charge, from linear antenna 416f 444f
Radiation, by accelerated charge, from localized source 407f 439f
Radiation, by accelerated charge, from magnetic dipole 413—414
Radiation, by accelerated charge, from short antenna 412
Radiation, by accelerated charge, from undulators and wigglers 683f
Radiation, by accelerated charge, Larmor formula for power 665—666
Radiation, by accelerated charge, synchrotron 681—683
Radiative energy loss, in accelerators 667—668
Radiative energy loss, in collisions, nonrelativistic 718
Radiative energy loss, relativistic 723
Radiative reaction 745f
Radiative reaction, and line breadth 763f
Radiative reaction, and shift of oscillator frequency 763f
Radiative reaction, characteristic time  of 746
Radiative reaction, effective force of 748 749
Radiative reaction, equation of motion including, Dirac's 771
Radiative reaction, integrodifferential equation of motion including 772
Radiative reaction, simple equation of motion including 748 749
Radiative reaction, slow changes of energy and angular momentum from 749—750 769—770
Radius, classical, gyration, of particle in magnetic field 586
Radius, classical, of electron 604 695 755
Rapidity, definition of 526
Rapidity, use of, in relativistic kinematics 539
Ray, in optical fibers 378f
Ray, meridional and skew 381
Rayleigh scattering 466
Rayleigh's, approximation in diffraction 481
Rayleigh's, approximation in scattering 464
Rayleigh's, explanation of blue sky 462f
Rayleigh's, law of scattering 457
Reactance, definition of, in terms of fields 267
Reciprocation theorem of Green 52
Reflection, from sphere, in diffraction 497—499
Reflection, from sphere, of charged particle from region of high magnetic field 595
Reflection, from sphere, of plane wave at interface 302f
Reflection, from sphere, of radio waves by ionosphere 317—318
Reflection, from sphere, polarization by 306—307
Reflection, from sphere, total internal 307
Refraction, of plane wave at interface 302f see
Relativistic addition of velocities 530f
Relativistic covariance, of electrodynamics 553f
Relativistic covariance, of physical laws under Lorentz transformations 517 540
Relativistic effects in angular and frequency distributions of radiation 669—670 672—673 678f 686f 701f 712
Relativistic invariance, of 4-vector scalar products 526 541
Relativistic invariance, of 4—dimensional Laplacian 543
Relativistic invariance, of 4—dimensional volume element 555
Relativistic invariance, of action integral 580
Relativistic invariance, of electric charge 554
Relativistic invariance, of phase of plane wave 529
Relativistic invariance, of photon differential spectrum 710
Relativistic invariance, of radiated power 666
Relativistic invariance, of radiation cross section 720
Relativistic invariance, of speed of light, experiment on 522—523
Relativistic invariance, use of, in kinematics 573—574
Relativistic kinematics, notation and units for 565—566
Relativistic transformation, and Thomas precession 548f
Relativistic transformation, from CM system to laboratory 575
Relativistic transformation, of 4—vectors and tensors 526 540f
Relativistic transformation, of 4—velocity 532
Relativistic transformation, of acceleration 569 see
Relativistic transformation, of charge and current densities 554
Relativistic transformation, of charge in uniform motion 559 572
Relativistic transformation, of coordinates 525
Relativistic transformation, of electromagnetic fields 558 586—587
Relativistic transformation, of momentum and energy 533f
Relativistic transformation, of potentials 555
Relativistic transformation, of spin vector 562
Relativistic transformation, of velocities 530f
Relativistic transformation, of wave vector and frequency 530
| Relativity, experiments testing 518f
Relativity, mathematical structure of 539f
Relativity, postulates of 517—518
Relativity, Special Theory of 514f
Relaxation method, in electrostatics 47f see "Ohm's "Radiation "Surface
Relaxation method, in magnetostatics 206f
Resistance, definition of, in terms of fields 266—267
Resonance fluorescence 767
Resonance, in cavity 372
Resonance, Schumann 376
Resonance, width  of, definition of 372
Resonant absorption 310 768
Resonant absorption, and anomalous dispersion 310 334
Resonant cavity 368f
Resonant cavity, earth and ionosphere as 374f
Resonant cavity, energy stored in 373
Resonant cavity, modes of oscillation in circular cylinder 369—371
Resonant cavity, power losses in walls of 373
Resonant cavity, Q of 371f 455
Resonant cavity, resonant frequencies of 369
Resonant cavity, spherical 455
Resonant cavity, spherical concentric shell 399
Resonant frequency, in cavity, shift of, because of power loss 374
Resonant frequency, in cavity, shift of, because of power loss, of atomic oscillator 162 309 627 655 764
Resonant frequency, in cavity, shift of, because of power loss, shift of, by radiative reaction 764—766
Resonant line shape 372 765
Retarded Green function 245 614
Retarded time 245 662—663
Rodrigues's formula for Legendre polynomials 98
Rotations 267f
Rotations, as Lorentz transformations 546—547
Rotations, transformation properties of physical quantities under 271
Rutherford scattering, connection between angle and impact parameter in 655
Rutherford scattering, cross section 625
Rutherford scattering, cross section in terms of momentum transfer 625 714
Scalar potential 30 see electrostatic"
Scalar potential, connection to work done 30
Scalar potential, for time-varying fields 239
Scalar potential, in magnetostatics 196
Scalar product of two 4—vectors 527 541
Scalar, under Lorentz transformations 540
Scalar, under ordinary rotations 268
Scattering amplitude, forward, integral expression for 485
Scattering amplitude, forward, multipole expansion of 509
Scattering amplitude, forward, relation to dielectric constant 504
Scattering amplitude, forward, relation to total cross section 502
Scattering cross section, for particles, classical, definition of, in terms of impact parameter 655 see "Scattering
Scattering cross section, for particles, classical, definition of, in terms of impact parameter, for radiation, definition of 457 694
Scattering of particles, by atoms 640f
Scattering of particles, effects of, electronic screening on 641
Scattering of particles, finite nuclear size on 641—642
Scattering of particles, mean square angle of 643
Scattering of particles, multiple 643f
Scattering of particles, Rutherford 625
Scattering of particles, single, tail on multiple scattering distribution 645
Scattering of particles, total atomic cross section for 643
Scattering of radiation, at long wavelengths 456f
Scattering of radiation, at short wavelengths, by sphere 495f
Scattering of radiation, by density fluctuations of fluid 468f
Scattering of radiation, by oscillator with radiative reaction 766f
Scattering of radiation, by point charge 694f
Scattering of radiation, by point charge quantum-mechanical modifications of 696—697
Scattering of radiation, by small conducting sphere 459f 477
Scattering of radiation, by small dielectric sphere 457f
Scattering of radiation, coherent and incoherent 462
Scattering of radiation, Compton, and Klein — Nishina formula 696—697
Scattering of radiation, Delbrueck 10
Scattering of radiation, multipole description of 473f
Scattering of radiation, of light by light 10
Scattering of radiation, perturbation treatment of 462f
Scattering of radiation, rayleigh, and the blue sky 466—467
Scattering of radiation, resonant 767—768
Scattering of radiation, shadow 496—497
Scattering of radiation, Thomson 694f
Scattering phase shift 476
Schumann resonances 374f
Screening by atomic electrons, effect of, on bremsstrahlung 721f
Screening by atomic electrons, effect of, on small angle elastic scattering 641
Sea water, attenuation constant of 316
Selection rules for multipole transitions 436
Self-energy and momentum 755f
Self-energy and momentum, covariant definition of 757f
Self-energy, classical electrostatic 754
Self-force, Abraham — Lorentz evaluation of 750f
Self-stresses and Poincare stresses 755—757
Separation of variables 70
Separation of variables, in cylindrical coordinates 112
Separation of variables, in rectangular coordinates 70
Separation of variables, in spherical coordinates 95—96
Shielding, magnetic, with permeable shell 201f
Shielding, magnetic, with permeable shell, of two-wire cable, with iron pipe 228—229
Signal propagation in a dispersive media 335f
Signal propagation in a dispersive media, Brillouin percursor in 338
Signal propagation in a dispersive media, Sommerfeld precursor in 338
Signal propagation in a dispersive media, steady-state signal in 338
Signal velocity, upper limit on 337
Skin depth 220 354
Skin depth, and Q of cavity 373
Skin depth, and surface resistance 356
Skin depth, in plasma 313
Smythe — Kirchhoff integral for diffraction of vector fields 487
Smythe — Kirchhoff integral for diffraction of vector fields, approximation for diffraction by circular opening 490f
Snell's law 303
Soft photon emission 709—710
Soft photon emission, equality of classical and quantum-mechanical expressions for 710—711
Solenoid 225—226
Solenoidal vector, definition of 242
Source, localized, in wave guide 392f
Source, localized, of multipole radiation 439f
Space-like separation of two points in spacetime 528
Space-time, in special relativity, mathematical description of 539f
Spatial inversion 269—270
Spatial inversion, opposite behavior of electric and magnetic charge densities under 274
Spatial inversion, transformation properties of physical quantities under 271
Special theory of relativity see "Relativity"
Speed of light, experimental constancy, experimental constancy, independent of motion of source 522—523
Speed of light, experimental constancy, independent of frequency 523—524
Speed of light, experimental constancy, numerical value of 3 776
Sphere, conducting, and point charge 58 60 61
Sphere, conducting, and point charge, electrostatic Green function for 64—65
Sphere, conducting, and point charge, general solution for potential in 65 122f
Sphere, conducting, and point charge, in external field 200f
Sphere, conducting, and point charge, in uniform electric field 62f 157f
Sphere, conducting, and point charge, scattering of radiation by 457—458 459—461 473f 495f
Sphere, conducting, and point charge, uniformly magnetized 198f
Sphere, conducting, and point charge, with hemispheres at different potentials 65f
Spherical Bessel functions see "Bessel functions"
Spherical coordinates 95
Spherical coordinates, delta function in 120
Spherical coordinates, Laplace equation in 95
Spherical harmonics,  107f
Spherical harmonics, addition theorem for 110—111
Spherical harmonics, and angular momentum 428—429
Spherical harmonics, completeness relation for 108
Spherical harmonics, explicit forms of 109
Spherical harmonics, orthogonality of 108
Spherical harmonics, raising and lowering operators for 428
Spherical harmonics, sum rule for 111
Spherical wave expansion, of Green function,  428
Spherical wave expansion, of scalar plane wave 471
Spherical wave expansion, of vector plane wave 473
Spherical wave expansion, of, electromagnetic fields 431
Spherical wave, scalar 425f
Spherical wave, scalar, vector 429f
Spin, -orbit interaction 552
Spin, -orbit interaction, relativistic equation of motion for 561f
Spin, -orbit interaction, Thomas precession of 548f 563—564
Spin, -orbit interaction, Thomas's relativistic equation of motion for 564
Stability, of classical charged particle, and Poincare stresses 755f 759f
Standards, units and 775—776
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