Classical electromagnetism in a nutshell / Anupam Garg.

Format:

Book

Author/Creator:

Garg, Anupam Kumar, 1956-

Contributor:

Class of 1953 Fund.

Language:

English

Subjects (All):

Electromagnetism--Textbooks.

Electromagnetism.

Genre:

Textbooks.

Physical Description:

xxxii, 675 pages : illustrations ; 26 cm

Place of Publication:

Princeton [N.J.] : Princeton University Press, [2012]

Summary:

This graduate-level physics textbook provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. While many electromagnetism texts .use the subject to teach mathematical methods of physics, here the emphasis is on the physical ideas themselves. Anupam Garg distinguishes between electromagnetism in vacuum and that in material media, stressing that the core physical questions are different for each. In vacuum, the focus is on the fundamental content of electromagnetic laws, symmetries, conservation laws, and the implications for phenomena such as radiation and light. In material media, the focus is on understanding the response of the media to imposed fields, the attendant constitutive relations, and the phenomena encountered in different types of media such as dielectrics, ferromagnets, and conductors. The text includes applications-to many topical subjects, such as magnetic levitation, plasmas, laser beams, and synchrotrons.

Classical Electromagnetism m a Nutshell is ideal for a yearlong graduate course and features more than 300 problems, with solutions to many of the advanced ones. Key formulas are given in both SI and Gaussian units; the book includes a discussion of how to convert between them, making it accessible to adherents of both systems.

Offers a complete treatment of classical electromagnetism

Emphasizes physical ideas

Separates the treatment of electromagnetism in vacuum and material media

Presents key formulas in both SI and Gaussian units

Covers applications to other areas of physics Includes more than 300 problems Book jacket.

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.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1953 Fund.

ISBN:

9780691130187

0691130183

OCLC:

751250687

Publisher Number:

7252952