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Next: Introduction Up: Classical electromagnetism Previous: Classical electromagnetism

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• Introduction
  • Intended audience
  • Major sources
  • Preface
  • Outline of course
  
  
• Vectors
  • Introduction
  • Vector algebra
  • Vector areas
  • The scalar product
  • The vector product
  • Rotation
  • The scalar triple product
  • The vector triple product
  • Vector calculus
  • Line integrals
  • Vector line integrals
  • Surface integrals
  • Vector surface integrals
  • Volume integrals
  • Gradient
  • Divergence
  • The Laplacian
  • Curl
  • Summary
  
  
• Time-independent Maxwell equations
  • Introduction
  • Coulomb's law
  • The electric scalar potential
  • Gauss' law
  • Poisson's equation
  • Ampère's experiments
  • The Lorentz force
  • Ampère's law
  • Magnetic monopoles?
  • Ampère's circuital law
  • Helmholtz's theorem
  • The magnetic vector potential
  • The Biot-Savart law
  • Electrostatics and magnetostatics
  
  
• Time-dependent Maxwell's equations
  • Introduction
  • Faraday's law
  • Electric scalar potential?
  • Gauge transformations
  • The displacement current
  • Potential formulation
  • Electromagnetic waves
  • Green's functions
  • Retarded potentials
  • Advanced potentials?
  • Retarded fields
  • Summary
  
  
• Electrostatics
  • Introduction
  • Electrostatic energy
  • Ohm's law
  • Conductors
  • Boundary conditions on the electric field
  • Capacitors
  • Poisson's equation
  • The uniqueness theorem
  • One-dimensional solution of Poisson's equation
  • The method of images
  • Complex analysis
  • Separation of variables
  
  
• Dielectric and magnetic media
  • Introduction
  • Polarization
  • Boundary conditions for ${\bf E}$ and ${\bf D}$
  • Boundary value problems with dielectrics
  • Energy density within a dielectric medium
  • Magnetization
  • Magnetic susceptibility and permeability
  • Ferromagnetism
  • Boundary conditions for ${\bf B}$ and ${\bf H}$
  • Boundary value problems with ferromagnets
  • Magnetic energy
  
  
• Magnetic induction
  • Introduction
  • Inductance
  • Self-inductance
  • Mutual inductance
  • Magnetic energy
  • Alternating current circuits
  • Transmission lines
  
  
• Electromagnetic energy and momentum
  • Introduction
  • Energy conservation
  • Electromagnetic momentum
  • Momentum conservation
  
  
• Electromagnetic radiation
  • Introduction
  • The Hertzian dipole
  • Electric dipole radiation
  • Thompson scattering
  • Rayleigh scattering
  • Propagation in a dielectric medium
  • Dielectric constant of a gaseous medium
  • Dielectric constant of a plasma
  • Faraday rotation
  • Propagation in a conductor
  • Dielectric constant of a collisional plasma
  • Reflection at a dielectric boundary
  • Wave-guides
  
  
• Relativity and electromagnetism
  • Introduction
  • The relativity principle
  • The Lorentz transformation
  • Transformation of velocities
  • Tensors
  • The physical significance of tensors
  • Space-time
  • Proper time
  • 4-velocity and 4-acceleration
  • The current density 4-vector
  • The potential 4-vector
  • Gauge invariance
  • Retarded potentials
  • Tensors and pseudo-tensors
  • The electromagnetic field tensor
  • The dual electromagnetic field tensor
  • Transformation of fields
  • Potential due to a moving charge
  • Fields due to a moving charge
  • Relativistic particle dynamics
  • The force on a moving charge
  • The electromagnetic energy tensor
  • Accelerated charges
  • The Larmor formula
  • Radiation losses
  • Angular distribution of radiation
  • Synchrotron radiation
  
  
• About this document ...

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Richard Fitzpatrick 2006年02月02日