Standing waves in resonant cavity 368
Stationary phase, method of 338
Step function,  , definition of 222 331
Stokes parameters 301
Stokes's theorem 31
Stress tensor, and conservation laws 261 606 609 611
Stress tensor, and conservation laws, canonical, in 4
Stress tensor, and conservation laws, dimensions 606
Stress tensor, and conservation laws, Maxwell 261
Stress tensor, and conservation laws, self, of classical electron 756 760f
Stress tensor, and conservation laws, symmetric, in 4 dimensions 608—609
Structure factor, for scattering by collection of scatterers 461
Sturm — Liouville equation 126
Sum rule, dipole, for oscillator strengths 310
Sum rule, dipole, for oscillator strengths, for plasma frequency 335
Summation convention, for repeated indices 540—541
Superconvergence relation for dielectric constant 335
Superposition principle see "Linear superposition"
Surface current, and discontinuity of  18 194 353
Surface current, and discontinuity of , effective 221 356
Surface current, and discontinuity of , effective magnetic 197
Surface distribution, of charge 31—32
Surface distribution, of charge, of electric dipole moment 32—34
Surface impedance, definition of 356
Surface impedance, definition of, use of as boundary condition in scattering 475
Surface of conductor, charge density at 21
Surface resistance, of good conductor 356
Surface-charge density, and discontinuity of normal  and  18 31 154
Surface-charge density, and discontinuity of normal and , and force on surface of conductor 43
Surface-charge density, and discontinuity of normal and , dimensions 78
Surface-charge density, and discontinuity of normal and , effective magnetic 197
Surface-charge density, and discontinuity of normal and , near circular hole in conducting plane 143
Surface-charge density, and discontinuity of normal and , near conical hole or point 106
Surface-charge density, and discontinuity of normal and , near edge or corner in 2
Surface-charge density, and discontinuity of normal and , on conducting sphere 59 64
Surface-charge density, and discontinuity of normal and , on sphere with line charge inside 124
Surface-charge density, and discontinuity of normal and , polarization 157 159
Surface-charge density, and discontinuity of normal and , potential of 32
Susceptibility, electric 154 158f
Synchrotron light source 661 683f
Synchrotron light source, examples of 692—693
Synchrotron light source, typical photon energy spectra from 693
Synchrotron light source, undulators and wigglers in 683f
Synchrotron radiation 676f
Synchrotron radiation, angular and frequency distribution of 678 680 682
Synchrotron radiation, astrophysical examples of 681—682
Synchrotron radiation, by charge in helical path 703
Synchrotron radiation, polarization of 678—679 706
Systeme International (SI), standards of mass, length and time 776
Systeme International (SI), standards of mass, length and time, electromagnetic units 776 779
Tensor, electromagnetic angular momentum 288 608 610
Tensor, electromagnetic angular momentum, dual 556
Tensor, electromagnetic angular momentum, electromagnetic field-strength 556
Tensor, electromagnetic angular momentum, Lorentz transformation properties of 541
Tensor, electromagnetic angular momentum, Maxwell stress 261
Tensor, electromagnetic angular momentum, rotational definition of 268
Tensor, electromagnetic angular momentum, stress, in 4 dimensions see "Stress tensor"
Test function, in finite element analysis 79
Thomas factor 552
Thomas precession 548f 563—564
Thomas's relativistic equation for motion of spin 564
Thomson cross section 695
Thomson scattering 694f
Thomson's theorem 53
Time dilatation 527f
Time dilatation, experimental verification of 529
Time reversal 270
Time reversal, transformation of physical quantities under 271
Time-like and space-like separation 527—528
Torque, on current distribution 178
Torque, on current distribution, on magnetic dipole 174 190
Torque, on current distribution, on spin 549
Torque, on current distribution, on spin, relativistic equation for 561f
Total cross section and optical theorem 502
Transformation see "Galilean transformation" "Lorentz "Relativistic
Transformation properties of physical quantities under rotations, spatial reflections, and time reversal 267f
Transformation properties of physical quantities under rotations, spatial reflections, and time reversal, table of 271
Transition probability 442
Transition probability, estimates of, in atoms and nuclei 442f
Transition probability, in hydrogen-like atoms 704 769—770
Transition radiation 646f
Transition radiation, angular and frequency distribution of 652
Transition radiation, effects of foil thickness and multiple foils on 658—659
Transition radiation, formation length for 649
Transition radiation, qualitative considerations of 646—649
Transmission coefficient, for diffraction by circular aperture 493
Transmission line, dominant mode in 358
Transmission line, dominant mode in, examples of 397—398
Transmission line, dominant mode in, relation between L and C for 232
Transparency, of water in the visible region 315
Transparency, of water in the visible region, ultraviolet, of metals 314
Transverse Doppler shift 530
Transverse electric (TE) waves, attenuation of, in wave guide 365—366
Transverse electric (TE) waves, attenuation of, in wave guide, connection of, with multipole moments 441
Transverse electric (TE) waves, attenuation of, in wave guide, cylindrical, in wave guide 359
Transverse electric (TE) waves, attenuation of, in wave guide, in dielectric wave guide 388
Transverse electric (TE) waves, attenuation of, in wave guide, in rectangular wave guide 361—362 391
Transverse electric (TE) waves, attenuation of, in wave guide, spherical 430
Transverse electric (TE) waves, attenuation of, in wave guide, spherical, in concentric sphere cavity 375
Transverse electromagnetic (TEM) waves 358
Transverse electromagnetic (TEM) waves, absence of in hollow wave guides 358
Transverse magnetic (TM) waves, attenuation of, in wave guide 365—366
Transverse magnetic (TM) waves, attenuation of, in wave guide, connection of, with multipole moments 441
Transverse magnetic (TM) waves, attenuation of, in wave guide, cylindrical, in wave guide 359
Transverse magnetic (TM) waves, attenuation of, in wave guide, in cylindrical cavity 369
Transverse magnetic (TM) waves, attenuation of, in wave guide, in dielectric wave guide 388
Transverse magnetic (TM) waves, attenuation of, in wave guide, in earth-ionosphere cavity 375
Transverse magnetic (TM) waves, attenuation of, in wave guide, in rectangular wave guide 391
Transverse magnetic (TM) waves, attenuation of, in wave guide, spherical 430—431
Transverse vector field, definition of 242
Transverse waves, in magnetohydrodynamics 321
Transverse waves, in magnetohydrodynamics, inhomogeneous 298
| Transverse waves, in magnetohydrodynamics, plane 295f
Traveling wave solutions 296 324 327 348
Traveling wave solutions, for signal propagation in dispersive medium 335f
Traveling wave solutions, in wave guide 357
Two-dimensional corners and edges, fields and surface charge densities near 78
Two-dimensional potentials 75f
Uncertainty principle 324 329
Uncertainty principle, use of, in collision problems to obtain quantum-mechanical modifications of 629 641 642 725
Undulators and wigglers, K parameter of 685 see
Undulators and wigglers, K parameter of, angular and frequency spectra from 689—693
Undulators and wigglers, K parameter of, average rest frame, dynamics and radiated power in 687—689
Uniqueness theorem, for solutions of Poisson or Laplace equation 37—38
Uniqueness theorem, for solutions of Poisson or Laplace equation, use of, with Legendre polynomial expansion 102 103—104 234
Units, and relative dimensions of electromagnetic quantities 777f
Units, and relative dimensions of electromagnetic quantities, appendix on 775f
Units, and relative dimensions of electromagnetic quantities, basic versus derived 775—776
Units, and relative dimensions of electromagnetic quantities, conversion between Gaussian and SI 782—783
Units, and relative dimensions of electromagnetic quantities, Maxwell and other equations, in different systems of 781
Units, and relative dimensions of electromagnetic quantities, table for conversion of 782—783
Units, and relative dimensions of electromagnetic quantities, variant of electromagnetic system of 782—783
Vacuum polarization 11—12
Vacuum polarization, contribution to atomic potential 12
Van Allen belts, of Jupiter, synchrotron radiation from 682—683
Van Allen belts, of Jupiter, synchrotron radiation from, problems illustrating principles of 619
Variational principle, for capacitance 53
Variational principle, for capacitance, for wave guides and cavities 400
Variational principle, for capacitance, in electrostatics 43f
Vector field, decomposition of, into longitudinal and transverse parts 242
Vector Green's theorem 482—483
Vector plane wave, spherical wave expansion of 473
Vector potential, for time-varying fields 239
Vector potential, for time-varying fields, in magnetostatics 180 195
Vector potential, for time-varying fields, of localized oscillating source 408f
Vector potential, for time-varying fields, of magnetic dipole 186
Vector potential, for time-varying fields, of magnetic monopole 278 290—291
Vector potential, for time-varying fields, of oscillating electric dipole 410
Vector potential, for time-varying fields, of oscillating electric quadrupole 414
Vector potential, for time-varying fields, of oscillating magnetic dipole 413
Vector potential, for time-varying fields, on surface of linear antenna, boundary condition for 418
Vector spherical harmonics, absolute square of, table 437
Vector spherical harmonics, absolute square of, table, definition of 431
Vector spherical harmonics, absolute square of, table, orthogonality properties of 431 472
Vector spherical harmonics, absolute square of, table, sum rule for 438
Vector theorem, divergence 29 see
Vector theorem, divergence, Green's 482—483
Vector theorem, divergence, involving surface and volume integrals 482—483
Vector theorem, divergence, involving vector spherical harmonics 472
Vector theorem, divergence, Stokes's 31
Vector, under rotations, definition of 268
Velocity fields, of charge in arbitrary motion 663
Velocity selector 587—588 617
Velocity, addition of, in special relativity 530f
Velocity, addition of, in special relativity,  drift 586
Velocity, addition of, in special relativity, 4-vector 532
Velocity, addition of, in special relativity, of light see "Speed of light"
Velocity, addition of, in special relativity, relativistic transformation law of 531
Virtual quanta, method of 724f
Virtual quanta, method of, for point charge, quantum-mechanical form of 729
Virtual quanta, method of, spectrum of, for point charge 727—728
Virtual quanta, method of, treatment of relativistic bremsstrahlung 729f
Virtual quanta, method of, use of, examples in atomic and nuclear collisions 742—743
Visible region, of frequency spectrum, reason for 314—315
Water, index of refraction and absorption coefficient of 315
Wave equation 240 243
Wave equation, covariant form of 555 612
Wave equation, for photons with mass 601
Wave equation, Green functions for 243f
Wave equation, Helmholtz 243
Wave equation, solutions of, in covariant form 614—615
Wave equation, spherical wave solutions of 425f
Wave equation, transverse two-dimensional, in wave guide 357 360
Wave guide 356f see
Wave guide, "bound" state in 405—406
Wave guide, attenuation in 363f 367—368
Wave guide, boundary conditions in 359
Wave guide, cutoff frequency in 360 362
Wave guide, dielectric 385f
Wave guide, in rectangular 361f 391
Wave guide, obstacles in 394
Wave guide, orthonormal fields in rectangular 391
Wave guide, propagating and evanescent 360
Wave guide, sources in 392f
Wave guide, TE and TM modes in 359
Wave guide, variational methods in 400
Wave number, and frequency, as 4-vector 530
Wave number, and frequency, as 4-vector, connection of, with frequency, as 4—4
Wave number, and frequency, as 4-vector, imaginary part of, because of losses 310 363 367
Wave number, and frequency, as 4-vector, in wave guide 360 364 367
Wave number, and frequency, as 4-vector, spread of, in wave packets 324
Wave number, and frequency, as 4-vector, vector 296 304 313 319 327
Wave packets in one dimension 322f 348
Wave packets in one dimension, propagation in dispersive medium 322f
Wave packets in one dimension, spreading of, in time 326f
Wavelength in wave guide 361
Waves, Alfven 321
Waves, in ionosphere 316f
Waves, magnetohydrodynamic 319f
Waves, magnetosonic 322 see "Spherical "Transverse
Weizsaecker — Williams method see "Virtual quanta method
Whistler 319 349
Width, finite, of frequency spectrum of cavity with losses 372
Width, finite, of frequency spectrum of cavity with losses, finite, of frequency spectrum of oscillator with damping 764
Wiggler see "Undulators" "Wigglers"
Work function of metal and image charges 61
Work, relation to potential energy 30
World line 527
Wronskian, definition of 126
Wronskian, definition of, of Bessel functions 126
Wronskian, definition of, of spherical Bessel functions 427
x-rays, from synchrotron light sources 693
x-rays, polarization of, in bremsstrahlung 712
Yukawa potential, for scalar potential if photon has mass 601
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