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| Jackson J.D. — Classical electrodynamics |
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| Предметный указатель |
Expansion, of  , in plane waves 128
Expansion, of , in spherical coordinates 102 111
Expansion, of arbitrary fields in wave guide in normal modes 392
Expansion, of circularly polarized vector plane wave in multipole fields 471f
Expansion, of Green function,  , in spherical waves 428
Expansion, of scalar plane wave, in spherical harmonics 471
Expansions see "Orthonormal expansions"
Extinction coefficient see "Absorption coefficient"
Faltung theorem of Fourier integrals 330
Faraday effect, astrophysical 346
Faraday's Law of Induction 208f
Faraday's law of induction, for moving circuit 209—210
Faraday's law of induction, in differential form 211
Ferromagnetism, definition of 15—16
Feynman — Heaviside expressions for fields see "Heaviside — Feynman expressions for fields"
Field-strength tensors 556
Fields, of charge in arbitrary motion 664
Fields, of charge moving uniformly, in dielectric, Fourier transforms of 633—634
Fields, of charge moving uniformly, in vacuum 559
Fields, of charge moving uniformly, in vacuum, Fourier transforms of 650 656
Fields, of relativistic charge, equivalence of, to pulse of radiation 560 724f
Finite difference method 47f
Finite element analysis (FEA) 79f
FitzGerald — Lorentz contraction hypothesis 517
Fizeau's experiment 517 570
Fluctuations, in density of fluid, and scattering 468—469
Fluctuations, in density of fluid, and scattering, in energy loss 631
Force density of stress tensor, on surface of good conductor 396
Force density, and divergence of stress tensor 611
Force equation with radiative reaction, Dirac's relativistic 711
Force equation with radiative reaction, Dirac's relativistic, approximation to 772
Force equation, Abraham — Lorentz 748
Force equation, approximation to 749
Force equation, integrodifferential 772
Force, between charge and image charge 60 61 62
Force, between current-carrying circuits 178 111
Force, between point charge and sphere 60 61 62
Force, between two parallel wires 178 111
Force, Coulomb's law of 24
Force, Lorentz 3 260 579
Force, Lorentz in covariant form 557 580
Force, on charged surface of conductor 42—43
Force, on current distribution in magnetic field 188f
Force, on dielectric body 167 169
Force, on magnetic dipole in nonuniform field 189
Force, on magnetically permeable body 214
Force, on permanent magnets 230
Force, radiative reaction 748—749 771—772
Forward scattering amplitude, relation of, to the total cross section 502
Forward scattering amplitude, relation to dielectric constant 504
Fourier integrals 69 243 253 330
Fourier series 68
Fourier series, summation of, example 74—75
Fourier transform, of exponentially damped wave 372 765
Fourier transform, of exponentially damped wave, in vacuum 650 656
Fourier transform, of exponentially damped wave, of fields of charge in uniform motion, in dielectric 633—634
Fourier transform, of exponentially damped wave, of wave packet 323 327 336
Fourier — Bessel series 115 138
Fraunhofer diffraction, definition of 491 see
Frequency distribution of radiation of transition radiation 653
Frequency distribution of radiation, emitted by electron in classical equivalent of hydrogen atom 704—705
Frequency distribution of radiation, emitted by extremely relativistic charge, qualitative aspects of 671—673
Frequency distribution of radiation, emitted by relativistic charge in instantaneously circular motion 681—682
Frequency distribution of radiation, explicit formulas for 675—676
Frequency distribution of radiation, from the sun 467
Frequency distribution of radiation, from undulators and wigglers 691 693
Frequency shift,  , in resonant cavity 374
Frequency shift, , in resonant cavity, of resonant line of oscillator with radiation damping 763f
Frequency spectrum see "Frequency distribution of radiation"
Fresnel diffraction, definition of 491 see
Fresnel formula for speed of light in moving media 570
Fresnel formulas for reflection and refraction 305—306
Fresnel's rhombus 308
g-factor, and muon, numerical values of 565
g-factor, of electron 548
Galerkin's method, in FEA 79f
Galilean invariance 515
Galilean invariance, and Faraday's law 209—210
Galilean invariance, of phase of wave 519
Galilean relativity 515—516
Galilean transformation of time and space coordinates 515
Gauge invariance 240
Gauge transformation 181 240
Gauge transformation, and Dirac string 279—280
Gauge transformation, and particle Lagrangian 583
Gauge transformation, and Schrodinger equation 280
Gauge, Coulomb 241
Gauge, Coulomb, Coulomb and causality 242 291
Gauge, Coulomb, Lorentz 241
Gauge, Coulomb, radiation or transverse 241
Gauss's law 27—29
Gauss's law, differential form of 29
Gaussian pillbox 17
Gaussian units, basic electrodynamic equations in 781 see
Goos — Haenchen effect 308 342
Gradient of electric field, and force on electric dipole 171
Gradient of electric field, and quadrupole interaction 150—151
Gradient of magnetic induction, and associated particle drift velocity 588—589
Gradient of magnetic induction, and force on magnetic dipole 189
Gradient, contravariant and covariant in special relativity 543
Gradient, in spherical form with  472
Green function in electrostatics 38—40
Green function in electrostatics, examples of use of 64—65 122f 141 142
Green function in electrostatics, expansion of, in cylindrical coordinates 125f
Green function in electrostatics, expansion of, in Legendre polynomials 102
Green function in electrostatics, for concentric spheres 122
Green function in electrostatics, for cylindrical box 143
Green function in electrostatics, for Neumann boundary conditions, example of 144
Green function in electrostatics, for rectangular box 128—129
Green function in electrostatics, for sphere 64 119f
Green function in electrostatics, for two parallel grounded planes 140—141
Green function in electrostatics, for two-dimensional problems 89—93 127 142
Green function in electrostatics, in eigenfunctions 127f
Green function in electrostatics, in spherical coordinates 111 119f
Green function in electrostatics, symmetry of 40 52
Green function, definition of, in electrostatics 38
Green function, definition of, in electrostatics, , spherical wave expansion of 428
Green function, definition of, in electrostatics, for Helmholtz wave equation 244
Green function, definition of, in electrostatics, for scalar diffraction by plane screen 480
Green function, definition of, in electrostatics, for time-dependent wave equation 245
Green function, definition of, in electrostatics, invariant, for wave equation 612f
Green function, definition of, in electrostatics, retarded and advanced 244 614
Green function, definition of, in electrostatics, symmetry of electrostatic 40
Green's first identity 36
Green's reciprocation theorem 52
Green's theorem 36
Green's theorem, use of, in diffraction 479
Green's theorem, vector equivalent of 482f
Ground, concept of 19—20
Group velocity 325
Group velocity, and phase velocity 325
Group velocity, and phase velocity, in wave guide 364
Guides see "Wave guide"
Gyration frequency, of particle in magnetic field 317 585
Gyration radius 586
Gyrotropic media, phenomenological expression for polarization in 273
Half-width, of resonant line shape 765
Half-width, of resonant line shape, relation to Q value of resonant cavity 372
Hall effect, phenomenological expression for 289
Hamiltonian density for fields, as (0,0) component of symmetric stress tensor 609
Hamiltonian, of charged particle in external fields 582 585
Hankel function of order  113 see
Hankel transform 118
Heaviside — Feynman expressions for fields 248 284
Helical path of particle in magnetic field 586
Helical path of particle in magnetic field, synchrotron radiation associated with 703
Helicity, connection to circular polarization 300
Hemispheres, at different potentials 65f 101
Hertz vectors 280f
Hidden momentum 189 618
| High-frequency behavior of dielectric constant 313 333
Hole, circular, in conducting plane, electric fields near 134
Hole, circular, in conducting plane, electric fields near, effective dipole moments of 133 205 422—424
Hole, circular, in conducting plane, electric fields near, magnetic fields near 206
Huygens's principle 478
Hydrodynamic equations for conducting fluid 319—320
Hyperfine interaction energy 190—191
Hysteresis, magnetic 193
Idealizations in electromagnetism 19f
Image charges see "Images"
Images, method of 57f
Images, method of, for conducting sphere in uniform field 62f
Images, method of, for dielectrics 155—157
Images, method of, for magnetically permeable media 229
Images, method of, for point charge near conducting sphere 58f
Images, method of, for two charged spheres 86—87
Impact parameter, and scattering angle 655
Impact parameter, maximum effective, in Coulomb collisions 626 627
Impact parameter, minimum effective, in Coulomb collisions 626 629
Impact parameter, minimum effective, in method of virtual quanta 725 729
Impact parameter, minimum effective, quantum-mechanical 629
Impedance, of free space 297
Impedance, of free space, of two-terminal device, general definition of 264f
Impedance, of free space, surface 355 475
Impedance, of free space, wave, in wave guide 359
Incoherent scattering from collection of scatterers 462
Index of refraction 296 303 see
Index of refraction, analytic properties of 337
Index of refraction, and phase and group velocities 325
Index of refraction, of water, as function of frequency 314—316
Index of refraction, relation to forward scattering amplitude 504
Inductance 215f
Inductance, accurate result for circular loop 234
Inductance, and magnetic energy 215
Inductance, coefficients of mutual and self 215—216
Inductance, estimation of self 216
Inductance, high-frequency compared to low-frequency 218
Inductance, mutual, of two current loops 234
Inductance, self, of transmission lines 232
Inductance, units of 783
Induction, Faraday's law of 208f
Infinitesimal generators of the Lorentz group 546 548
Inhomogeneous plane wave 298
Inner bremsstrahlung 732
Integral equations of the first kind, dual 132
interaction energy see "Energy"
Interface between two media, boundary conditions at 16f
Internal field, at position of molecule in dielectric 160
Invariance see "Adiabatic invariance" "Relativistic
Inverse distance between two points, expansion in Bessel functions 126 140
Inverse distance between two points, expansion, in Legendre polynomials 102
Inverse distance between two points, Fourier integral representation of 128
Inverse distance between two points, in spherical harmonics 111
Inverse square law, precise verification of 5f
inversion see "Spatial inversion"
Ionosphere, propagation of waves in 316f 346—337
Irrotational vector, definition of 242
Jacobian, in Lorentz transformation of 4—dimensional volume element 555
Jacobian, in Lorentz transformation of in transformation of coordinates for delta function 120
Jefimenko's expressions for fields 246f
Kinematics, relativistic, examples of 573f
Kinematics, relativistic, examples of, notation for 565—566
Kirchhoff diffraction see "Diffraction"
Kirchhoff's integral, in diffraction 479
Kirchhoff's integral, in diffraction, vector equivalents of 482f
Klein — Nishina formula 697
Klein — Nishina formula, effects of, in method of virtual quanta 730
Kramers — Kronig relations 333f 348—349
Lagrangian density, for continuous fields 598—599
Lagrangian, Darwin for relativistic charged particle in external fields 579f
Lagrangian, Darwin, for charged particle interactions 597
Lagrangian, Darwin, for electromagnetic fields 598f
Lagrangian, Darwin, Proca, for massive photons 600f
Lamb shift 766
Laplace equation 34
Laplace equation, conditions for 37
Laplace equation, general solution of, in cylindrical coordinates 117—119
Laplace equation, general solution of, in cylindrical coordinates, in rectangular coordinates 71—72
Laplace equation, general solution of, in cylindrical coordinates, in spherical coordinates 110
Laplace equation, general solution of, in cylindrical coordinates, in two-dimensional coordinates 77 89
Laplace equation, general solution of, in rectangular coordinates 70f
Laplace equation, general solution of, in spherical coordinates 95
Laplace equation, general solution of, in two-dimensions, Cartesian coordinates 72f
Laplace equation, in cylindrical coordinates 111f
Laplace equation, in two-dimensions, polar coordinates 76
Laplace equation, uniqueness of solution of 37—38
Laplace transform, use of 222
Laplacian operator, and angular momentum operator 429
Laplacian operator, and angular momentum operator, in four dimensions 543
Larmor formula for radiated power 665
Larmor formula for radiated power, relativistic generalization of 666
Legendre differential equation 96
Legendre functions, associated 108
Legendre functions, associated, asymptotic form for large , in terms of Bessel function 106
Legendre functions, associated, of order 105
Legendre polynomials 97 see
Legendre polynomials, expansion of inverse distance in 102
Legendre polynomials, explicit forms of 97
Legendre polynomials, integrals of products of, with powers of  100—101
Legendre polynomials, orthogonality of 99
Legendre polynomials, recurrence relations for 100
Legendre polynomials, Rodrigues's formula for 98
Lenz's law 209
Level shift, of oscillator frequency, from radiation damping 763f
Lienard — Wiechert potentials 661f
Lienard's generalization of Larmor power formula 666
Lifetime, of pi mesons in relativistic motion 529 see
Light cone 527
Light, speed of 3 776
Limiting speed 518
Line breadth, of oscillator with radiation damping 763f
Linear superposition, of electric fields 26
Linear superposition, of plane waves 296 322f
Linear superposition, of potentials, example of 61
Linear superposition, validity of 9f
Localized source, in wave guide 392—393 see "Multipole" "Multipole
London penetration depth 604
Longitudinal vector, definition of 242
Lorentz force 3 260 553 579
Lorentz force, density 611
Lorentz force, in covariant form 557 563 580
Lorentz group 540 see
Lorentz group, infinitesimal generators of 546 548
Lorentz invariance, of electric charge, experimental evidence for 554
Lorentz invariance, of electric charge, experimental evidence for, of radiated power 666
Lorentz invariant differential photon spectrum 710 720
Lorentz transformation 524f see
Lorentz transformation, explicit matrix form of 546—547
Lorentz transformation, generators of,  and  546
Lorentz transformation, matrix representation of 543f
Lorentz transformation, noncommutativity of 548
Lorentz transformation, of 4—vector 526
Lorentz transformation, of electric and magnetic fields 558
Lorentz transformation, of time and space coordinates 525
Lorentz transformation, proper and improper, definitions of 544
Lorentz — Lorenz relation 162
Lorenz condition 240 294 555
Lorenz gauge 241
loss see "Attenuation" "Power
Macroscopic averages 249—250
Macroscopic electromagnetic quantities 250f
Macroscopic equations, elementary derivation of, for electrostatics 151f
Macroscopic equations, elementary derivation of, for magnetostatics 191f
Macroscopic fields 13 250 255—256
Macroscopic Maxwell equations 13 238
Macroscopic Maxwell equations, derivation of 248
Magnet, permanent 16 200
Magnet, permanent, energy of, in external field 190
Magnet, permanent, method of treating magnetostatic boundary value problems involving 196
Magnetic charge and current densities 273—274
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