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Classical electromagnetism in a nutshell

Author: Anupam Kumar Garg
Publisher: Princeton [N.J.] : Princeton University Press, ©2012.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A graduate-level physics textbook that provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. It includes applications to many topical subjects, such  Read more...

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Details

Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Anupam Kumar Garg
ISBN: 9780691130187 0691130183
OCLC Number: 751250687
Description: xxxii, 675 pages : illustrations ; 26 cm
Contents: 1 Introduction 1 --
1 The field concept 1 --
2 The equations of electrodynamics 2 --
3 A lightspeed survey of electromagnetic phenomena 7 --
4 SI versus Gaussian 10 --
2 Review of mathematical concepts 18 --
5 Vector algebra 18 --
6 Derivatives of vector fields 25 --
7 Integration of vector fields 30 --
8 The theorems of Stokes and Gauss 32 --
9 Fourier transforms, delta functions, and distributions 37 --
10 Rotational transformations of vectors and tensors 45 --
11 Orthogonal curvilinear coordinates 51 --
3 Electrostatics in vacuum 55 --
12 Coulomb's law 55 --
13 The electrostatic potential 57 --
14 Electrostatic energy 58 --
15 Differential form of Coulomb's law 63 --
16 Uniqueness theorem of electrostatics 65 --
17 Solving Poisson's equation: a few examples 68 --
18 Energy in the electric field 71 --
19 The Multipole expansion 73 --
20 Charge distributions in external fields 80 --
4 Magnetostatics in vacuum 82 --
21 Sources of magnetic field 82 --
22 The law of Biot and Savart 89 --
23 Differential equations of magnetostatics; Ampere's law 93 --
24 The vector potential 101 --
25 Gauge invariance 105 --
26 ∇ B and ∇ × B for a point dipole 108 --
27 Magnetic multipoles 112 --
5 Induced electromagnetic fields 114 --
28 Induction 114 --
29 Energy in the magnetic field-Feynman's argument 117 --
30 Energy in the magnetic field-standard argument 120 --
31 Inductance 121 --
32 The Ampere-Maxwell law 125 --
33 Potentials for time-dependent fields 128 --
6 Symmetries and conservation laws 132 --
34 Discrete symmetries of the laws of electromagnetism 132 --
35 Energy flow and the Poynting vector 137 --
36 Momentum conservation 140 --
37 Angular momentum conservation* 144 --
38 Relativity at low speeds 148 --
39 Electromagnetic mass* 150 --
7 Electromagnetic waves 152 --
40 The wave equation for E and B 152 --
41 Plane electromagnetic waves 154 --
42 Monochromatic plane waves and polarization 156 --
43 Nonplane monochromatic waves; geometrical optics* 160 --
44 Electromagnetic fields in a laser beam* 165 --
45 Partially polarized (quasimonochromatic) Hght* 168 --
46 Oscillator representation of electromagnetic waves 171 --
47 Angular momentum of the free electromagnetic field* 174 --
8 Interference phenomena 178 --
48 Interference and diffraction 178 --
49 Fresnel diffraction 182 --
50 Fraunhofer diffraction 186 --
51 Partially coherent light 187 --
52 The Hanbury-Brown and Twiss effect; intensity interferometry* 191 --
53 The Pancharatnam phase* 195 --
9 The electromagnetic field of moving charges 200 --
54 Green's function for the wave equation 200 --
55 Fields of a uniformly moving charge 204 --
56 Potentials of an arbitrarily moving charge-the Lienard-Wiechert solutions 207 --
57 Electromagnetic fields of an arbitrarily moving charge 210 --
58 Radiation from accelerated charges: qualitative discussion 214 --
10 Radiation from localized sources 217 --
59 General frequency-domain formulas for fields 217 --
60 Far-zone fields 219 --
61 Power radiated 223 --
62 The long-wavelength electric dipole approximation 227 --
63 Higher multipoles* 229 --
64 Antennas 233 --
65 Near-zone fields 237 --
66 Angular momentum radiated* 239 --
67 Radiation reaction 241 --
11 Motion of charges and moments in external fields 245 --
68 The Lorentz force law 245 --
69 Motion in a static uniform electric field 246 --
70 Motion in a static uniform magnetic field 248 --
71 Motion in crossed E and B fields; E < B 251 --
72 Motion in a time-dependent magnetic field; the betatron 255 --
73 Motion in a quasiuniform static magnetic field-guiding center drift* 257 --
74 Motion in a slowly varying magnetic field-the first adiabatic invariant* 261 --
75 The classical gyromagnetic ratio and Larmor's theorem 264 --
76 Precession of moments in time-dependent magnetic fields* 268 --
12 Action formulation of electromagnetism 273 --
77 Charged particle in given field 273 --
78 The free field 276 --
79 The interacting system of fields and charges 279 --
80 Gauge invariance and charge conservation 283 --
13 Electromagnetic fields in material media 285 --
81 Macroscopic fields 286 --
82 The macroscopic charge density and the polarization 289 --
83 The macroscopic current density and the magnetization 293 --
84 Constitutive relations 297 --
85 Energy conservation 300 --
14 Electrostatics around conductors 302 --
86 Electric fields inside conductors, and at conductor surfaces 303 --
87 Theorems for electrostatic fields 306 --
88 Electrostatic energy with conductors; capacitance 308 --
89 The method of images 313 --
90 Separation of variables and expansions in basis sets 320 --
91 The variational method* 329 --
92 The relaxation method 334 --
93 Microscopic electrostatic field at metal surfaces; work function and contact potential* 339 --
15 Electrostatics of dielectrics 344 --
94 The dielectric constant 344 --
95 Boundary value problems for linear isotropic dielectrics 347 --
96 Depolarization 350 --
97 Thermodynamic potentials for dielectrics 354 --
98 Force on small dielectric bodies 360 --
99 Models of the dielectric constant 361 --
16 Magnetostatics in matter 370 --
100 Magnetic permeability and susceptibility 370 --
101 Thermodynamic relations for magnetic materials 371 --
102 Diamagnetism 375 --
103 Paramagnetism 378 --
104 The exchange interaction; ferromagnetism 378 --
105 Free energy of ferromagnets 382 --
106 Ferromagnetic domain walls* 391 --
107 Hysteresis in ferromagnets 394 --
108 Demagnetization 397 --
109 Superconductors* 399 --
17 Ohm's law, emf, and electrical circuits 404 --
110 Ohm's law 405 --
111 Electric fields around current-carrying conductors-a solvable example* 407 --
112 van der Pauw's method* 409 --
113 The Van de Graaff generator 412 --
114 The thermopile 413 --
115 The battery 414 --
116 Lumped circuits 417 --
117 The telegrapher's equation* 422 --
118 The ac generator 424 --
18 Frequency-dependent response of materials 427 --
119 The frequency-dependent conductivity 427 --
120 The dielectric function and electric propensity 429 --
121 General properties of the ac conductivity* 431 --
122 Electromagnetic energy in material media* 435 --
123 Drude-Lorentz model of the dielectric response 437 --
124 Frequency dependence of the magnetic response* 441 --
19 Quasistatic phenomena in conductors 443 --
125 Quasistatic fields 443 --
126 Variable magnetic field: eddy currents and the skin effect in a planar geometry 445 --
127 Variable magnetic field: eddy currents and the skin effect in finite bodies* 450 --
128 Variable electric field, electrostatic regime 455 --
129 Variable electric field, skin-effect regime 457 --
130 Eddy currents in thin sheets, Maxwell's receding image construction, and maglev* 459 --
131 Motion of extended conductors in magnetic fields* 465 --
132 The dynamo* 467 --
20 Electromagnetic waves in insulators 470 --
133 General properties of EM waves in media 470 --
134 Wave propagation velocities 472 --
135 Reflection and refraction at a fiat interface (general case) 475 --
136 More reflection and refraction (both media transparent and nonmagnetic) 479 --
137 Reflection from a nonmagnetic opaque medium* 483 --
21 Electromagnetic waves in and near conductors 487 --
138 Plasma oscillations 487 --
139 Dispersion of plasma waves* 488 --
140 Transverse EM waves in conductors 490 --
141 Reflection of light from a metal 492 --
142 Surface plasmons* 493 --
143 Waveguides 496 --
144 Resonant cavities 502 --
22 Scattering of electromagnetic radiation 505 --
145 Scattering terminology 505 --
146 Scattering by free electrons 506 --
147 Scattering by bound electrons 508 --
148 Scattering by small particles 510 --
149 Scattering by dilute gases, and why the sky is blue 512 --
150 Raman scattering 515 --
151 Scattering by liquids and dense gases* 516 --
23 Formalism of special relativity 524 --
152 Review of basic concepts 524 --
153 Four-vectors 532 --
154 Velocity, momentum, and acceleration four-vectors 537 --
155 Four-tensors 540 --
156 Vector fields and their derivatives in space-time 543 --
157 Integration of vector fields* 544 --
158 Accelerated observers* 548 --
24 Special relativity and electromagnetism 553 --
159 Four-current and charge conservation 553 --
160 The four-potential 556 --
161 The electromagnetic field tensor 556 --
162 Covariant form of the laws of electromagnetism 559 --
163 The stress-energy tensor 561 --
164 Energy-momentum conservation in special relativity 564 --
165 Angular momentum and spin* 565 --
166 Observer-dependent properties of light 567 --
167 Motion of charge in an electromagnetic plane wave* 572 --
168 Thomas precession* 576 --
25 Radiation from relativistic sources 581 --
169 Total power radiated 581 --
170 Angular distribution of power 584 --
171 Synchrotron radiation-qualitative discussion 588 --
172 Full spectral, angular, and polarization distribution of synchrotron radiation* 589 --
173 Spectral distribution of synchrotron radiation* 592 --
174 Angular distribution and polarization of synchrotron radiation* 595 --
175 Undulators and wigglers* 597.
Responsibility: Anupam Garg.
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"This is a very comprehensive book on classical electromagnetism covering historical introductions, detailed theoretical derivations with additional mathematical clarifications whenever necessary, Read more...

 
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