Classical Electromagnetism in a Nutshell

ISBN-10: 0691130183

ISBN-13: 9780691130187

Edition: 2012

List price: $115.00 Buy it from $67.90
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Description: 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 in a Nutshellis 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 along with a discussion of how to convert between them, making the book accessible to adherents of both systems.Offers a complete treatment of classical electromagnetismEmphasizes physical ideasSeparates the treatment of electromagnetism in vacuum and material mediaPresents key formulas in both SI and Gaussian unitsCovers applications to other areas of physicsIncludes more than 300 problems

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Book details

List price: $115.00
Copyright year: 2012
Publisher: Princeton University Press
Publication date: 4/8/2012
Binding: Hardcover
Pages: 712
Size: 7.50" wide x 10.25" long x 1.75" tall
Weight: 3.498
Language: English

List of symbols
Suggestions for using this book
The field concept
The equations of electrodynamics
A lightspeed survey of electromagnetic phenomena
SI versus Gaussian
Review of mathematical concepts
Vector algebra
Derivatives of vector fields
Integration of vector fields
The theorems of Stokes and Gauss
Fourier transforms, delta functions, and distributions
Rotational transformations of vectors and tensors
Orthogonal curvilinear coordinates
Electrostatics in vacuum
Coulomb's law
The electrostatic potential
Electrostatic energy
Differential form of Coulomb's law
Uniqueness theorem of electrostatics
Solving Poisson's equation: a few examples
Energy in the electric field
The Multipole expansion
Charge distributions in external fields
Magnetostatics in vacuum
Sources of magnetic field
The law of Biot and Savart
Differential equations of magnetostatics; Ampere's law
The vector potential
Gauge invariance
∇ B and ∇ � B for a point dipole
Magnetic multipoles
Induced electromagnetic fields
Energy in the magnetic field-Feynman's argument
Energy in the magnetic field-standard argument
The Ampere-Maxwell law
Potentials for time-dependent fields
Symmetries and conservation laws
Discrete symmetries of the laws of electromagnetism
Energy flow and the Poynting vector
Momentum conservation
Angular momentum conservation*
Relativity at low speeds
Electromagnetic mass*
Electromagnetic waves
The wave equation for E and B
Plane electromagnetic waves
Monochromatic plane waves and polarization
Nonplane monochromatic waves; geometrical optics*
Electromagnetic fields in a laser beam*
Partially polarized (quasimonochromatic) Hght*
Oscillator representation of electromagnetic waves
Angular momentum of the free electromagnetic field*
Interference phenomena
Interference and diffraction
Fresnel diffraction
Fraunhofer diffraction
Partially coherent light
The Hanbury-Brown and Twiss effect; intensity interferometry*
The Pancharatnam phase*
The electromagnetic field of moving charges
Green's function for the wave equation
Fields of a uniformly moving charge
Potentials of an arbitrarily moving charge-the Lienard-Wiechert solutions
Electromagnetic fields of an arbitrarily moving charge
Radiation from accelerated charges: qualitative discussion
Radiation from localized sources
General frequency-domain formulas for fields
Far-zone fields
Power radiated
The long-wavelength electric dipole approximation
Higher multipoles*
Near-zone fields
Angular momentum radiated*
Radiation reaction
Motion of charges and moments in external fields
The Lorentz force law
Motion in a static uniform electric field
Motion in a static uniform magnetic field
Motion in crossed E and B fields; E < B
Motion in a time-dependent magnetic field; the betatron
Motion in a quasiuniform static magnetic field-guiding center drift*
Motion in a slowly varying magnetic field-the first adiabatic invariant*
The classical gyromagnetic ratio and Larmor's theorem
Precession of moments in time-dependent magnetic fields*
Action formulation of electromagnetism
Charged particle in given field
The free field
The interacting system of fields and charges
Gauge invariance and charge conservation
Electromagnetic fields in material media
Macroscopic fields
The macroscopic charge density and the polarization
The macroscopic current density and the magnetization
Constitutive relations
Energy conservation
Electrostatics around conductors
Electric fields inside conductors, and at conductor surfaces
Theorems for electrostatic fields
Electrostatic energy with conductors; capacitance
The method of images
Separation of variables and expansions in basis sets
The variational method*
The relaxation method
Microscopic electrostatic field at metal surfaces; work function and contact potential*
Electrostatics of dielectrics
The dielectric constant
Boundary value problems for linear isotropic dielectrics
Thermodynamic potentials for dielectrics
Force on small dielectric bodies
Models of the dielectric constant
Magnetostatics in matter
Magnetic permeability and susceptibility
Thermodynamic relations for magnetic materials
The exchange interaction; ferromagnetism
Free energy of ferromagnets
Ferromagnetic domain walls*
Hysteresis in ferromagnets
Ohm's law, emf, and electrical circuits
Ohm's law
Electric fields around current-carrying conductors-a solvable example*
van der Pauw's method*
The Van de Graaff generator
The thermopile
The battery
Lumped circuits
The telegrapher's equation*
The ac generator
Frequency-dependent response of materials
The frequency-dependent conductivity
The dielectric function and electric propensity
General properties of the ac conductivity*
Electromagnetic energy in material media*
Drude-Lorentz model of the dielectric response
Frequency dependence of the magnetic response*
Quasistatic phenomena in conductors
Quasistatic fields
Variable magnetic field: eddy currents and the skin effect in a planar geometry
Variable magnetic field: eddy currents and the skin effect in finite bodies*
Variable electric field, electrostatic regime
Variable electric field, skin-effect regime
Eddy currents in thin sheets, Maxwell's receding image construction, and maglev*
Motion of extended conductors in magnetic fields*
The dynamo*
Electromagnetic waves in insulators
General properties of EM waves in media
Wave propagation velocities
Reflection and refraction at a fiat interface (general case)
More reflection and refraction (both media transparent and nonmagnetic)
Reflection from a nonmagnetic opaque medium*
Electromagnetic waves in and near conductors
Plasma oscillations
Dispersion of plasma waves*
Transverse EM waves in conductors
Reflection of light from a metal
Surface plasmons*
Resonant cavities
Scattering of electromagnetic radiation
Scattering terminology
Scattering by free electrons
Scattering by bound electrons
Scattering by small particles
Scattering by dilute gases, and why the sky is blue
Raman scattering
Scattering by liquids and dense gases*
Formalism of special relativity
Review of basic concepts
Velocity, momentum, and acceleration four-vectors
Vector fields and their derivatives in space-time
Integration of vector fields*
Accelerated observers*
Special relativity and electromagnetism
Four-current and charge conservation
The four-potential
The electromagnetic field tensor
Covariant form of the laws of electromagnetism
The stress-energy tensor
Energy-momentum conservation in special relativity
Angular momentum and spin*
Observer-dependent properties of light
Motion of charge in an electromagnetic plane wave*
Thomas precession*
Radiation from relativistic sources
Total power radiated
Angular distribution of power
Synchrotron radiation-qualitative discussion
Full spectral, angular, and polarization distribution of synchrotron radiation*
Spectral distribution of synchrotron radiation*
Angular distribution and polarization of synchrotron radiation*
Undulators and wigglers*
Spherical harmonics
Bessel Junctions
Time averages of bilinear quantities in electrodynamics
Airy functions
Power spectrum of a random function
Motion in the earth's magnetic field-the Stormer problem
Alternative proof of Maxwell's receding image construction
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