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Introduction
Classical Electromagnetism:
An intermediate level course
Richard Fitzpatrick
Associate Professor of Physics
The University of Texas at Austin
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
and
Boundary value problems with dielectrics
Energy density within a dielectric medium
Magnetization
Magnetic susceptibility and permeability
Ferromagnetism
Boundary conditions for
and
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 ...
Richard Fitzpatrick 2006-02-02
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