# Electromagnetic field theory

 Автор(ы): Thide B. 06.10.2007 Год изд.: 2002 Описание: This book intended primarily as a textbook for physics students at the advanced undergraduate or beginning graduate level, the book may be useful for research workers too. It provides a thorough treatment of the theory of electrodynamics, mainly from a classical field theoretical point of view, and includes such things as electrostatics and magnetostatics and their unification into electrodynamics, the electromagnetic potentials, gauge transformations, covariant formulation of classical electrodynamics, force, momentum and energy of the electromagnetic field, radiation and scattering phenomena, electromagnetic waves and their propagation in vacuum and in media, and covariant Lagrangian/Hamiltonian field theoretical methods for electromagnetic fields, particles and interactions. The aim for the author has been to write a book that can serve both as an advanced text in Classical Electrodynamics and as a preparation for studies in Quantum Electrodynamics and related subjects. Оглавление: Обложка книги. 1 Classical Electrodynamics    1.1 Electrostatics      1.1.1 Coulomb's law      1.1.2 The electrostatic field    1.2 Magnetostatics      1.2.1 Ampere's law      1.2.2 The magnetostatic field    1.3 Electrodynamics      1.3.1 Equation of continuity for electric charge      1.3.2 Maxwell's displacement current      1.3.3 Electromotive force      1.3.4 Faraday's law of induction      1.3.5 Maxwell's microscopic equations      1.3.6 Maxwell's macroscopic equations    1.4 Electromagnetic Duality        Example 1.1 Faraday's law as a consequence of conservation of magnetic charge        Example 1.2 Duality of the electromagnetodynamic equations        Example 1.3 Dirac's symmetrised Maxwell equations for a fixed mixing angle        Example 1.4 The complex field six-vector        Example 1.5 Duality expressed in the complex field six-vector  Bibliography  2 Electromagnetic Waves    2.1 The Wave Equations      2.1.1 The wave equation for E      2.1.2 The wave equation for В      2.1.3 The time-independent wave equation for E        Example 2.1 Wave equations in electromagnetodynamics    2.2 Plane Waves      2.2.1 Telegrapher's equation      2.2.2 Waves in conductive media    2.3 Observables and Averages  Bibliography  3 Electromagnetic Potentials    3.1 The Electrostatic Scalar Potential    3.2 The Magnetostatic Vector Potential    3.3 The Electrodynamic Potentials      3.3.1 Electrodynamic gauges        Lorentz equations for the electrodynamic potentials        Gauge transformations      3.3.2 Solution of the Lorentz equations for the electromagnetic potentials        The retarded potentials        Example 3.1 Electromagnetodynamic potentials  Bibliography  4 Relativistic Electrodynamics    4.1 The Special Theory of Relativity      4.1.1 The Lorentz transformation      4.1.2 Lorentz space        Radius four-vector in contravariant and covariant form        Scalar product and norm        Metric tensor        Invariant line element and proper time        Four-vector fields        The Lorentz transformation matrix        The Lorentz group      4.1.3 Minkowski space    4.2 Covariant Classical Mechanics    4.3 Covariant Classical Electrodynamics      4.3.1 The four-potential      4.3.2 The Lienard-Wiechert potentials      4.3.3 The electromagnetic field tensor  Bibliography  5 Electromagnetic Fields and Particles    5.1 Charged Particles in an Electromagnetic Field      5.1.1 Covariant equations of motion        Lagrange formalism        Hamiltonian formalism    5.2 Covariant Field Theory      5.2.1 Lagrange-Hamilton formalism for fields and interactions        The electromagnetic field        Example 5.1 Field energy difference expressed in the field tensor        Other fields  Bibliography  6 Electromagnetic Fields and Matter    6.1 Electric Polarisation and Displacement      6.1.1 Electric multipole moments    6.2 Magnetisation and the Magnetising Field    6.3 Energy and Momentum      6.3.1 The energy theorem in Maxwell's theory      6.3.2 The momentum theorem in Maxwell's theory  Bibliography  7 Electromagnetic Fields from Arbitrary Source Distributions    7.1 The Magnetic Field    7.2 The Electric Field    7.3 The Radiation Fields    7.4 Radiated Energy      7.4.1 Monochromatic signals      7.4.2 Finite bandwidth signals  Bibliography  8 Electromagnetic Radiation and Radiating Systems    8.1 Radiation from Extended Sources      8.1.1 Radiation from a one-dimensional current distribution      8.1.2 Radiation from a two-dimensional current distribution    8.2 Multipole Radiation      8.2.1 The Hertz potential      8.2.2 Electric dipole radiation      8.2.3 Magnetic dipole radiation      8.2.4 Electric quadrupole radiation    8.3 Radiation from a Localised Charge in Arbitrary Motion      8.3.1 The Lienard-Wiechert potentials      8.3.2 Radiation from an accelerated point charge        The differential operator method        Example 8.1 The fields from a uniformly moving charge        Example 8.2 The convection potential and the convection force        Radiation for small velocities      8.3.3 Bremsstrahlung        Example 8.3 Bremsstrahlung for low speeds and short acceleration times      8.3.4 Cyclotron and synchrotron radiation        Cyclotron radiation        Synchrotron radiation        Radiation in the general case        Virtual photons      8.3.5 Radiation from charges moving in matter        Vavilov-Cerenkov radiation  Bibliography  F Formulae ] F.1 The Electromagnetic Field      F.1.1 Maxwell's equations        Constitutive relations      F.1.2 Fields and potentials        Vector and scalar potentials        Lorentz'gauge condition in vacuum      F.1.3 Force and energy        Poynting's vector        Maxwell's stress tensor    F.2 Electromagnetic Radiation      F.2.1 Relationship between the field vectors in a plane wave      F.2.2 The far fields from an extended source distribution      F.2.3 The far fields from an electric dipole      F.2.4 The far fields from a magnetic dipole      F.2.5 The far fields from an electric quadrupole      F.2.6 The fields from a point charge in arbitrary motion    F.3 Special Relativity      F.3.1 Metric tensor      F.3.2 Covariant and contravariant four-vectors      F.3.3 Lorentz transformation of a four-vector      F.3.4 Invariant line element      F.3.5 Four-velocity      F.3.6 Four-momentum      F.3.7 Four-current density      F.3.8 Four-potential      F.3.9 Field tensor    F.4 Vector Relations      F.4.1 Spherical polar coordinates        Base vectors        Directed line element        Solid angle element        Directed area element        Volume element      F.4.2 Vector formulae        General vector algebraic identities        General vector analytic identities        Special identities        Integral relations  Bibliography  Appendices  M Mathematical Methods    M.1 Scalars, Vectors and Tensors      M.1.1 Vectors        Radius vector      M.1.2 Fields        Scalar fields        Vector fields        Tensor fields        Example M.I Tensors in 3D space        Example M.2 Contravariant and covariant vectors in flat Lorentz space      M.1.3 Vector algebra        Scalar product        Example M.3 Inner products in complex vector space        Example M.4 Scalar product, norm and metric in Lorentz space        Example M.5 Metric in general relativity        Dyadic product        Vector product      M.1.4 Vector analysis        The del operator        Example M.6 The four-del operator in Lorentz space        The gradient        Example M.7 Gradients of scalar functions of relative distances in 3D        The divergence        Example M.8 Divergence in 3D        TheLaplacian        Example M.9 The Laplacian and the Dirac delta        The curl        Example M. 10 The curl of a gradient        Example M. 11 The divergence of a curl      M.2 Analytical Mechanics      M.2.1 Lagrange's equations      M.2.2 Hamilton's equations  Bibliography  1.1 Coulomb interaction between two electric charges  1.2 Coulomb interaction for a distribution of electric charges  1.3 Ampere interaction  1.4 Moving loop in a varying В field  4.1 Relative motion of two inertial systems  4.2 Rotation in a 2D Euclidean space  4.3 Minkowski diagram  5.1 Linear one-dimensional mass chain  7.1 Radiation in the far zone  8.1 Linear antenna  8.2 Electric dipole geometry  8.3 Loop antenna  8.4 Multipole radiation geometry  8.5 Electric dipole geometry  8.6 Radiation from a moving charge in vacuum  8.7 An accelerated charge in vacuum  8.8 Angular distribution of radiation during bremsstrahlung  8.9 Location of radiation during bremsstrahlung  8.10 Radiation from a charge in circular motion  8.11 Synchrotron radiation lobe width  8.12 The perpendicular field of a moving charge  8.13 Vavilov-Cerenkov cone  M.I Tetrahedron-like volume element of matter  Формат: djvu Размер: 1723825 байт Язык: ENG Рейтинг: 591 Открыть: Ссылка (RU)