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Stratton J.A. — Electromagnetic Theory
Stratton J.A. — Electromagnetic Theory

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Название: Electromagnetic Theory

Автор: Stratton J.A.

Аннотация:

The present volume attempts a more adequate treatment of variable electromagnetic fields and the theory of wave propagation. Some attention is given to the stationary state, but for the purpose of introducing fundamental concepts under simple conditions, and always with a view to later application in the general case. The reader must possess a general knowledge of electricity and magnetism such as may be acquired from an elementary course based on the experimental laws of Coulomb, Ampere, and Faraday, followed by an intermediate course dealing with the more general properties of circuits, with thermionic and electronic devices, and with the elements of electromagnetic machinery, terminating in a formulation of Maxwell's equations. This book takes up at that point. The first chapter contains a general statement of the equations governing fields and potentials, a review of the theory of units, reference material on curvilinear coordinate systems and the elements of tensor analysis, concluding with a formulation of the field equations in a space-time continuum. The second chapter is also general in character, and much of it may be omitted on a first reading. Here one will find a discussion of fundamental field properties that may be deduced without reference to particular coordinate systems. A dimensional analysis of Maxwell's equations leads to basic definitions of the vectors E and B, and an investigation of the energy relations results in expressions for the mechanical force exerted on elements of charge, current, and neutral matter. In this way a direct connection is established between observable forces and the vectors employed to describe the structure of a field.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1941

Количество страниц: 615

Добавлена в каталог: 28.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abraham      422 439 475
Absorption coefficient      324
Adams      150
Addition theorem for circularly cylindrical waves      372—374
Addition theorem for elliptic waves      387
Addition theorem for Legendre polynomials      408
Addition theorem for spherical Bessel functions      413—414
Admittance of coaxial line      550 553
Angle of incidence, complex      516
Anisotropic media      11 73 341
Antenna, horizontal, over earth      583
Antenna, horizontal, over earth, vertical      573—587
antennas, directional      448—454
Antennas, directional, linear      438—448 454—457 477
Attenuation factor $\beta$      276
Attenuation, approximate calculation      533—534
Attenuation, approximate calculation, along coaxial line      554
Attenuation, approximate calculation, in hollow pipe      543—544
Axial vectors      67 72
Baker      463 464
Barnes      513
Barrow      537 545
Bateman      32 388 389
Baz      511 514
Bechmann      455 459
Bergmann      443 500
Bessel equation      199
Bessel functions      356—360
Bessel functions, modified      390—391
Biot — Savart law      232 254
Bipolar coordinates      55
Blumer      566
Bocher      201
Bochner      312
Bontsch — Bruewitsch      448
Born      322 463
boundary conditions      34—38 163—165
Boundary conditions,      243 247 483—485
Boundary conditions, homogeneous      485
Boussinesq      389
Bremmer      587 591
Brewster angle      497 508 516 520
Brillouin      334 338—339 455 545
Burrows      585
Campbell      289 299
Carslaw      287 298 399
Carson      537
Carter      449
Cartwright      513
Cauchy theorem      315
Cavendish      170
Cavity definitions of E and D      213—215
Cavity, ellipsoidal      213—215
Cavity, ellipsoidal, oscillations in      560—563
Cavity, ellipsoidal, spherical      206
Characteristic values      376
Characteristic values for sphere      556 558—562
Charge density, electric, definition of      2
Charge density, electric, definition of, surface      35 467
Charge, conservation of      4
Charge, conservation of, magnetic      228—229 241 464
Chu      464 470 545
circular polarization      500
Clausius — Mossotti law      140 148 151
Coaxial lines      545 554
Cohn      584
Complementary waves      531
Complementary waves, in coaxial line      548
Complex field vectors      32—34
Complex quantities, algebra of      135—136
Compressibility      96
Conductivity, complex      326
Conductivity, complex, definition of      14
Conductors, properties of      109 164 325
Conformal transformations      217 224
Connected spaces      227 238
Conservative field, definition of      105 609
Continuity, equation of      5
Continuity, equation of, in four dimensions      72
Contraction, tensor      68
Contravariant components      41 48 60
Convection current      79
Convergence of potential integrals      170—172 186 187
Copson      463 464
Coulomb law      169—170 174 179 239 241
Courant — Hilbert      403
Covariant components      41 48 60
Cross section, scattering      569
Cross talk      545 594—595
Curl, an antisymmetric tensor      68
Curl, an antisymmetric tensor of a four-vector      69
Curl, an antisymmetric tensor, definition of      7
Curl, an antisymmetric tensor, in curvilinear coordinates      47 49
Current density, definition of      3
Current density, definition of, surface      37 243 246—247 467 484
Current distribution, static potential      222—223
Current, convection      79
Current, convection, definition of      3
Curtis, measurement of c      16
Curvilinear coordinates      38
Cylinder functions, circular      356—360
Cylindrical coordinates      198—199
Cylindrical coordinates, circular      51
Cylindrical coordinates, elliptic      52
Cylindrical coordinates, parabolic      54
Cylindrical wave functions, circular, elliptic      380
Czerny      513
Debye      369 415 537 558 570
Decibel      344 554
Depolarizing factor      206 213
Diamagnetic media      13
Diffraction, of dipole field by sphere      587
Diffraction, of dipole field by sphere of plane wave by ellipsoid      572
Diffraction, of dipole field by sphere, by sphere      563—573
Diffraction, of dipole field by sphere, Kirchhoff — Huygens theory      460—470
Diffusion      279 347
Dilatation      92 95
Dimensional analysis      489
Dipole, electric      174 175—176 179 181
Dipole, electric, magnetic      235 583
Dipole, electric, oscillating      433 434 437 477
Dirichlet problem      461
Discontinuities, of A      247
Discontinuities, of A of B      246 250
Discontinuities, of A of E      188 191 193
Discontinuities, of A of potential      189 192
Discontinuities, of A of surface distributions      468—470
Dispersion, anomolous      324
Dispersion, anomolous, in dielectrics      321—325
Dispersion, anomolous, in metals      325—327
Dispersion, anomolous, normal      324
Displacement current      9
Divergence, in curvilinear coordinates, definition of      4
Divergence, in curvilinear coordinates, invariance      63 64
Divergence, in curvilinear coordinates, tensor      68 69
Dorsey      16
Double-layer distributions      188—192 193
Drude      513
E waves      341 555
E waves, in coaxial line      546
E waves, in hollow pipe      538—545
Earnshaw’s theorem      116
Eichenwald      499
Eikonal      343
Einstein      75
Eisenhart      349
Electric type, field of      30 350 526
Electric type, field of,      555 566
Electrostatic problem, formulation      194—195
Electrostriction      149—151
Ellipsoid, in an electrostatic field      207—217
Ellipsoid, in an electrostatic field, in a magnetostatic field      258
Ellipsoid, in an electrostatic field, magnetized      257
Ellipsoidal coordinates      58
Ellipsoidal harmonics      207
Elliptic coordinates      52 200
Elliptic polarization      280 500 506 509 566
Energy density, electrostatic      110 131
Energy density, electrostatic, magnetic      124 131
Energy flow      131—137
Energy flow, in plane wave      281
Energy, elastic      93
Energy, elastic of anisotropic medium      141
Energy, elastic, electrostatic      104—118
Energy, elastic, magnetic, in spherical cavity      562
Energy, elastic, magnetostatic      118—130
Energy, elastic, velocity of propagation      342
Epstein      344
Equipotentials      161
Equipotentials, condition for      218
Error function      290 586
Ether      102
Ewald      347
Faltung theorem      312—313 320
Farad      21
Faraday law of induction      8 348
Fermat      344
Ferromagnetic media      13 125 155
Force, on body immersed in fluid      151—152 155 158
Force, on body immersed in fluid, between current elements      266
Force, on body immersed in fluid, on cylinder in magnetic field      261
Force, on body immersed in fluid, on dipole      176
Force, on body immersed in fluid, on distribution of charge      96 103
Force, on body immersed in fluid, on distribution of current      96 103
Force, on body immersed in fluid, on element of fluid      139 145
Force, on body immersed in fluid, on element of solid      144—145 153—155
Force, on body immersed in fluid, on element of surface      148—149 155
Forsterling      322
Foster      289 299
Four-current      70 78 81 471
Four-potential      72 78 81 471—473
Four-tensor      69
Four-vector      64
Fourier integrals      288—292
Fourier series      285—287
Fourier transforms      289 294 298 299
Fourier transforms,      302
Fourier — Bessel integral      369—371 575
Fourier — Bessel integral for spherical functions      412
Fourier — Bessel series      541
Frenkel      475
Fresnel’s equations      492—494 495 501
Fresnel’s equations,      516—517 588
Galilean transformation      77
GANs      572 573
Geometrical optics      343
Giorgi      17
Glathart      508
Glazebrook      17
Goldstein      376
Gradient, in curvilinear coordinates      44 49
Grazing incidence      509
Green’s Theorem      165 192—193 424 460
Green’s theorem, in four dimensions      471
Green’s theorem, vector form      250 464
Gross      499
Group velocity      330—333 339
Group velocity, in hollow cylinder      540
Guillemin      283
H waves      341 555
H waves, in hollow pipe      538—545
hadamard      284 461
Hagen      327 508
Hague      266
Hall effect      14
Hankel functions      359
Hansell      449
Hansen      393 562
Happel      572
Harmonic functions      182
Heaviside      132 310 346 599
Helmholtz      145
Helmholtz, coils      263
Helmholtz, resonators      560
Henry, definition      22
Hertz      28
Hertz vectors      28—32 185
Hertz vectors for arbitrary source      431
Hertz vectors for cylindrical field      349—351
Hertz vectors for spherical field      415
Hertz vectors, relation to vector wave functions      394
Herzfeld      573
Hobson      201 404
Hollmann      449
Hollow pipes      537—545
Hollow pipes, rectangular cross section      596
Hondros      537
Hund      449
Huygen’s principle      428 460—470 570
Huygen’s principle,      582
Hysteresis      122 125 126 133
Ignatowsky      464
Images      193—194
Images, of antenna      583
Impedance matching, relation to boundary conditions      512 514 532 547
Impedance, characteristic      283 549
Impedance, characteristic of coaxial line      552—553 546—547 549
Impedance, characteristic of cylindrical conductor      532—537
Impedance, characteristic of cylindrical field      354
Impedance, characteristic of plane wave      282—284 512
Impedance, characteristic, intrinsic, of medium      283
Impedance, characteristic, surface      532
Impulse function      291 425
Ince      210 309 375
Index of refraction      275 321—324 329
Index of refraction,      495
Inductance, of coaxial line      550 553
Inductance, of coaxial line of long, straight wire      537
Inductance, of coaxial line, mutual      263
Inductance, of coaxial line, self      264
Induction field      586
Inductive capacities      10—11
Inductive capacities, complex      34 323
Inertia, of electromagnetic field      104
Infinity, regularity at      167—169 485
Integral representations of Bessel functions      367 369 389
Integral representations of elliptic wave functions      380—389
Integral representations of Hankel functions      367 389
Integral representations of spherical Bessel functions      410
Integral representations of wave functions      361—364
International Electrotechnical Commission      18
Invariance of Maxwell’s equations      80
Invariants in space-time      81—82
Ionosphere      327
Jeans      194 201
Jobst      570
Jordans’ lemma      315 335 474
Kellogg      172 188
Kelvin      214 221 594
Kemble      150 224
Kennelly — Heaviside layers      329
Kennelly, on m.k.s. units      17
Kirchhoff diffraction theory      462—464
Kirchhoff solution of wave equation      427
Konig      503 506 510
Korteweg      145
Kottler      464 468
Labus      444
Lamb      388
Laplace transformation      309—318
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