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Preface | |

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List of symbols | |

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Suggestions for using this book | |

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Introduction | |

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The field concept | |

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The equations of electrodynamics | |

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A lightspeed survey of electromagnetic phenomena | |

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SI versus Gaussian | |

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Review of mathematical concepts | |

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Vector algebra | |

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Derivatives of vector fields | |

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Integration of vector fields | |

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The theorems of Stokes and Gauss | |

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Fourier transforms, delta functions, and distributions | |

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Rotational transformations of vectors and tensors | |

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Orthogonal curvilinear coordinates | |

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Electrostatics in vacuum | |

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Coulomb's law | |

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The electrostatic potential | |

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Electrostatic energy | |

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Differential form of Coulomb's law | |

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Uniqueness theorem of electrostatics | |

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Solving Poisson's equation: a few examples | |

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Energy in the electric field | |

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The Multipole expansion | |

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Charge distributions in external fields | |

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Magnetostatics in vacuum | |

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Sources of magnetic field | |

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The law of Biot and Savart | |

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Differential equations of magnetostatics; Ampere's law | |

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The vector potential | |

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Gauge invariance | |

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∇ B and ∇ ï¿½ B for a point dipole | |

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Magnetic multipoles | |

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Induced electromagnetic fields | |

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Induction | |

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Energy in the magnetic field-Feynman's argument | |

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Energy in the magnetic field-standard argument | |

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Inductance | |

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The Ampere-Maxwell law | |

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Potentials for time-dependent fields | |

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Symmetries and conservation laws | |

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Discrete symmetries of the laws of electromagnetism | |

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Energy flow and the Poynting vector | |

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Momentum conservation | |

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Angular momentum conservation* | |

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Relativity at low speeds | |

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Electromagnetic mass* | |

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Electromagnetic waves | |

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The wave equation for E and B | |

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Plane electromagnetic waves | |

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Monochromatic plane waves and polarization | |

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Nonplane monochromatic waves; geometrical optics* | |

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Electromagnetic fields in a laser beam* | |

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Partially polarized (quasimonochromatic) Hght* | |

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Oscillator representation of electromagnetic waves | |

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Angular momentum of the free electromagnetic field* | |

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Interference phenomena | |

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Interference and diffraction | |

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Fresnel diffraction | |

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Fraunhofer diffraction | |

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Partially coherent light | |

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The Hanbury-Brown and Twiss effect; intensity interferometry* | |

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The Pancharatnam phase* | |

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The electromagnetic field of moving charges | |

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Green's function for the wave equation | |

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Fields of a uniformly moving charge | |

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Potentials of an arbitrarily moving charge-the Lienard-Wiechert solutions | |

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Electromagnetic fields of an arbitrarily moving charge | |

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Radiation from accelerated charges: qualitative discussion | |

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Radiation from localized sources | |

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General frequency-domain formulas for fields | |

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Far-zone fields | |

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Power radiated | |

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The long-wavelength electric dipole approximation | |

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Higher multipoles* | |

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Antennas | |

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Near-zone fields | |

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Angular momentum radiated* | |

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Radiation reaction | |

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Motion of charges and moments in external fields | |

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The Lorentz force law | |

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Motion in a static uniform electric field | |

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Motion in a static uniform magnetic field | |

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Motion in crossed E and B fields; E < B | |

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Motion in a time-dependent magnetic field; the betatron | |

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Motion in a quasiuniform static magnetic field-guiding center drift* | |

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Motion in a slowly varying magnetic field-the first adiabatic invariant* | |

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The classical gyromagnetic ratio and Larmor's theorem | |

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Precession of moments in time-dependent magnetic fields* | |

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Action formulation of electromagnetism | |

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Charged particle in given field | |

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The free field | |

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The interacting system of fields and charges | |

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Gauge invariance and charge conservation | |

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Electromagnetic fields in material media | |

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Macroscopic fields | |

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The macroscopic charge density and the polarization | |

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The macroscopic current density and the magnetization | |

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Constitutive relations | |

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Energy conservation | |

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Electrostatics around conductors | |

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Electric fields inside conductors, and at conductor surfaces | |

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Theorems for electrostatic fields | |

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Electrostatic energy with conductors; capacitance | |

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The method of images | |

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Separation of variables and expansions in basis sets | |

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The variational method* | |

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The relaxation method | |

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Microscopic electrostatic field at metal surfaces; work function and contact potential* | |

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Electrostatics of dielectrics | |

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The dielectric constant | |

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Boundary value problems for linear isotropic dielectrics | |

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Depolarization | |

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Thermodynamic potentials for dielectrics | |

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Force on small dielectric bodies | |

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Models of the dielectric constant | |

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Magnetostatics in matter | |

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Magnetic permeability and susceptibility | |

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Thermodynamic relations for magnetic materials | |

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Diamagnetism | |

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Paramagnetism | |

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The exchange interaction; ferromagnetism | |

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Free energy of ferromagnets | |

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Ferromagnetic domain walls* | |

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Hysteresis in ferromagnets | |

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Demagnetization | |

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Superconductors* | |

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Ohm's law, emf, and electrical circuits | |

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Ohm's law | |

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Electric fields around current-carrying conductors-a solvable example* | |

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van der Pauw's method* | |

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The Van de Graaff generator | |

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The thermopile | |

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The battery | |

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Lumped circuits | |

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The telegrapher's equation* | |

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The ac generator | |

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Frequency-dependent response of materials | |

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The frequency-dependent conductivity | |

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The dielectric function and electric propensity | |

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General properties of the ac conductivity* | |

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Electromagnetic energy in material media* | |

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Drude-Lorentz model of the dielectric response | |

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Frequency dependence of the magnetic response* | |

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Quasistatic phenomena in conductors | |

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Quasistatic fields | |

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Variable magnetic field: eddy currents and the skin effect in a planar geometry | |

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Variable magnetic field: eddy currents and the skin effect in finite bodies* | |

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Variable electric field, electrostatic regime | |

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Variable electric field, skin-effect regime | |

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Eddy currents in thin sheets, Maxwell's receding image construction, and maglev* | |

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Motion of extended conductors in magnetic fields* | |

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The dynamo* | |

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Electromagnetic waves in insulators | |

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General properties of EM waves in media | |

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Wave propagation velocities | |

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Reflection and refraction at a fiat interface (general case) | |

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More reflection and refraction (both media transparent and nonmagnetic) | |

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Reflection from a nonmagnetic opaque medium* | |

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Electromagnetic waves in and near conductors | |

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Plasma oscillations | |

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Dispersion of plasma waves* | |

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Transverse EM waves in conductors | |

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Reflection of light from a metal | |

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Surface plasmons* | |

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Waveguides | |

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Resonant cavities | |

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Scattering of electromagnetic radiation | |

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Scattering terminology | |

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Scattering by free electrons | |

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Scattering by bound electrons | |

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Scattering by small particles | |

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Scattering by dilute gases, and why the sky is blue | |

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Raman scattering | |

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Scattering by liquids and dense gases* | |

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Formalism of special relativity | |

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Review of basic concepts | |

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Four-vectors | |

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Velocity, momentum, and acceleration four-vectors | |

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Four-tensors | |

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Vector fields and their derivatives in space-time | |

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Integration of vector fields* | |

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Accelerated observers* | |

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Special relativity and electromagnetism | |

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Four-current and charge conservation | |

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The four-potential | |

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The electromagnetic field tensor | |

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Covariant form of the laws of electromagnetism | |

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The stress-energy tensor | |

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Energy-momentum conservation in special relativity | |

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Angular momentum and spin* | |

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Observer-dependent properties of light | |

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Motion of charge in an electromagnetic plane wave* | |

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Thomas precession* | |

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Radiation from relativistic sources | |

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Total power radiated | |

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Angular distribution of power | |

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Synchrotron radiation-qualitative discussion | |

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Full spectral, angular, and polarization distribution of synchrotron radiation* | |

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Spectral distribution of synchrotron radiation* | |

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Angular distribution and polarization of synchrotron radiation* | |

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Undulators and wigglers* | |

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Spherical harmonics | |

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Bessel Junctions | |

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Time averages of bilinear quantities in electrodynamics | |

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Caustics | |

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Airy functions | |

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Power spectrum of a random function | |

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Motion in the earth's magnetic field-the Stormer problem | |

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Alternative proof of Maxwell's receding image construction | |

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Bibliography | |

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Index | |