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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.
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Рубрика: Физика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 1941
Количество страниц: 615
Добавлена в каталог: 28.10.2005
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Предметный указатель
Laplace’s equation 162 167
Laplace’s equation, 197—201
Laplace’s equation, solution by definite integrals 218
Laplacian, invariance of 63 64
Laplacian, invariance of, in curvilinear coordinates 47 49
Larmor 145 464
Legendre equation 199
Legendre functions 400—404
Legendre functions, associated 182 608
Legendre polynomials 173
Li 6
Li, nard 475
Lindenblad 449
Linder 266
Lines of force 161
Livens 134 145
Lorentz 59 321 322 599
Lorentz transformation 77 78 81 475
Love 143 464
Macdonald 134 464 478
Macroscopic theory, limits of 2 327 509
Magnetic charge 228—229 241 464
Magnetic current 464
Magnetic flux, definition of 8
magnetic moment 229
Magnetic shells 237
Magnetic type, field of 30 351 526 555
Magnetic type, field of, 566
magnetization 13 229 235 236—237
Magnetomotive force, definition of 21
Magnetostatic problem, formulation 254—256
Magnetostriction 156
Manneback 445
Mason and Weaver 110 134 194
Mathieu equation 200 375—377
Mathieu functions 376—380
McPetrie 449
Mead 537
Metal optics 503
Metrical coefficients 42
Michelson 74 75
Mie 60 415 566
Minkowski 59 60 81
Moglich 573
Momentum, conservation of 104
Momentum, conservation of, electromagnetic 103—104 157—158
Morley 74 75
Morse 376 387 404 470
Multipoles 162 176—183 236 431—434 572
Neumann problem 461
Newton, unit of force 20
Niessen 582
Norton 585
Octupole 181
Ohm’s Law 14
Operational calculus 310
Optic axes 342
Orthogonal transformations 61 63
Parabolic coordinates 54
Paraboloidal coordinates 57
Paramagnetic media 13
Pauli 60 75 158
Penetration factor 504 536
Permanent magnets 129
Permeability, at high frequencies 508
Pfannenberg 510
Pfeiffer 506
Pfister 514
Phase constant a 276
Phase of plane wave 274
phase velocity 274 276 337—340
Phase velocity, greater than c 518—519
Phase velocity, in conducting medium 502
Phase velocity, in dispersive medium 324
Phase velocity, in hollow cylinder 540
Phase velocity, in ionized medium 327 329
Phillips 188 189
Picht 499
Piecewise continuity 286
Pierce 599
Pistalkors 455
Planck 463
Plane of incidence 490
Plane of vision 596
Plane waves, inhomogeneous 340 360 511
Pockels 142 143 145 461
Poincar 6 346 461
Point charge 104 162
Point charge, moving 473—475
poisson 228
Poisson ratio 95
Poisson — Parseval formula 387
Poisson’s equation 162 166—167 230
Polar vectors 67 72
Polarization potentials 30 185
Polarization vectors, definition of 11
Polarization, circular 280 500
Polarization, circular, electric 11—12 183—185
Polarization, circular, elliptic 280 500 506 509 566
Polarization, circular, linear 280
Polarization, circular, magnetic 11—13 242—245 266
Polarizing angle 497
Potential, complex 32—34
Potential, complex of current distribution 233—235 253
Potential, complex of magnetized body 242
Potential, complex of magnetostatic field 226—228
Potential, complex, elastic 94
Potential, complex, electrostatic 160
Potential, complex, in two dimensions 219—220
Potential, complex, polarization 30 185
Potential, complex, retarded 428—430
Potential, complex, scalar 23—28
Potential, complex, vector 23—28 226
Poynting theorem 131—137 457—458
Poynting vector 132
Poynting vector, complex 135—137
Principal axes of strain 89 92
Principal axes of strain of stress 86 87
Principal wave in coaxial line 548
Principal wave in coaxial line, in cylindrical conductor 530 531—537
Principal wave in coaxial line, in hollow pipes 538
Propagation factor k 273 276
Propagation factor, for circular cylinder for coaxial line 548 552 554
Propagation factor, for circular cylinder for hollow cylinder 539—540
Propagation, along coaxial line 545—554
Propagation, along coaxial line of radio waves, over flat earth 573—587
Propagation, along coaxial line, along an infinite plane surface 517—524
Propagation, along coaxial line, along cylindrical conductor 527—537 591—594
Propagation, along coaxial line, in hollow pipes 537—545
Propagation, along coaxial line, in homogeneous conductor 277—278
Propagation, along coaxial line, in homogeneous dielectric 274—276
Propagation, along coaxial line, in ionized media 327—330
Propagation, along coaxial line, over spherical earth 587
Q, for spherical cavity 563
Quadrupole 177 179 182 433—434 480
Quantum theory 2
Quasi-stationary state 225 438
Radiation condition 485—486
Radiation field of current element 440
Radiation reaction 476
Radiation resistance, of linear antenna of magnetic dipole 438
Radiation resistance, of linear antenna of traveling wave 446
Radiation, from antenna arrays 449—454
Radiation, from antenna arrays, from electric dipole 436—437
Radiation, from antenna arrays, from linear antenna 441—444
Radiation, from antenna arrays, from magnetic dipole 438
Radiation, from antenna arrays, from quadrupole 434 480
Radiation, from antenna arrays, from sphere 568—570
Radiation, from antenna arrays, from traveling wave 445
Rayleigh 537 572
Reciprocal vectors 39 60
Reciprocity theorem 479
Reflection coefficient 496 50
Reflection coefficient of plane sheet 513—515
Reflection coefficient, Q 508 510 579 585
Reflection, by conductor 505
Reflection, by conductor by dielectric 495
Reflection, by conductor by earth’s surface 579
Reflection, by conductor, total 497—500 583
Refraction, m conductor 501—505
Refraction, m conductor of dipole radiation in earth 579—582
Refraction, m conductor, in dielectric 495
Refractive index 275 321—324 329 495
Regular curve, definition of 4
Relativity postulates 74—75
Relaxation time 15
Residue at a pole 315
Retarded potentials 428—430
Rice 585
Righi 28
Ritz 75
Rolf 585
Rosa 16
Roth 514
Rubens 327 508
Rubenstein 470
Rubinowicz 463 488
Runge 343
Sacerdote 150
Scalars, invariant and variant 62 65
Scattering from sphere 568—569 572 597
Schaefer 499 572
Schelkunoff 282 350 404 470 516 537 596
Schriever 537
Sellmeyer 321
Shea 503
shear modulus 95
shielding 504
Signal velocity 338—340
Silberstein 32
Similitude 488—490
Single-layer distributions 187—188 192
Single-layer distributions, 193
Six-vector 69
Skin effect, in cylindrical conductor 531
Skin effect, in cylindrical conductor, at a plane surface 520—524
Skin-depth factor 504 536 563
smith 484
Smythe 201
Snell’s laws 491 501 579
Snell’s laws for conducting medium 502
Solenoid, field of 232—233
Solid angle 189
Sommerfeld 18 59 60 242 334 367 391 475 485 524 527 528 573
Sommerfeld and Runge 343
Southworth 537
Spectral density 289
Sphere, in an electrostatic field 201—207
Sphere, in an electrostatic field, natural oscillations of 554—563
Spherical Bessel functions 404—406
Spherical coordinates 52 199
Spherical harmonics 182 403
Spherical wave functions 404
Spheroidal coordinates 56 200
Spheroidal wave functions 420—422
Stationary field, properties of 225
Steepest descent, method of 368
Step function 289 316
Stoke’s Theorem 6
Strain quadric 89
Strain, components of 91
Strain, components of, definition of 87
Streamlines 3
Stress quadric 87 101
Stress tensor, electromagnetic 98—99 147 154
Stress, definition of 85
Strutt 376 585
Surface charge, relation to polarization 184
Surface wave 584—587
Susceptibility, electric and magnetic 12
Susceptibility, electric and magnetic, measurement of 258
Tedone 464
Telegrapher’s equation 346 550
Tensor product 82
Tensor, definition of 65 68
Tensor, definition of, symmetric and antisymmetric 66
Tensor-divergence theorem 99
Tesseral harmonics 403 555
Thomson’s theorem 114 138
Titchmarsh 288
Tonolo 464
Toroidal coordinates 218
Torque, on dipole 176 242
Torque, on dipole, on ellipsoid 215—217
Total reflection 495 497—500 583
Transmission coefficient 496
Transversality 470 476
Transverse electric field 351 499 526—527 538
Transverse magnetic field 350 499 518
Transverse magnetic field, 520 526—527 538 555
Transverse voltage 549
Transverse waves 271
Uller 584
Uniqueness of solution 196—197 256-257 486—488
Unit vectors 41 48
Unitary vectors 39 60
UNITS 16—23 238—241 489
Units, electromagnetic 17 240
Units, electrostatic 240
Units, Gaussian 241
Units, m.k.s 18—23 241
Units, practical 17 21
Units, rationalized 239
van der Pol 582 587 591
Van Vleck 480 481
Vector wave functions 393 395
Vector wave functions, cylindrical 395—399
Vector wave functions, spherical 414—418
Voigt 143
Wallot 18 589
Watson 201 298 320 358 369 404 538 542 557
Wave-front velocity 337—340
Weber, unit of fiux 20
Weyl 577 584
Whittaker and Watson 201 211 286 315 362 375
Wiechert 475
Wiener 312
Wilmotte 449
Wilmsen 572
Wilsey 503 506
Wise 585
Woltersdorff 513
Young’s modulus 95
Zahn 537
Zenneck 584
Zonal harmonics 402
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