ASSISTANT PROFESSOR OF PHYSICS

The University of Texas at Austin

- Introduction

- Relativity and electromagnetism
- The relativity principle
- The Lorentz transform
- Transformation of velocities
- Tensors
- Transformations
- 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
- Solution of the inhomogeneous wave equation
- Retarded potentials
- Tensors and pseudo-tensors
- The electromagnetic field tensor
- The dual electromagnetic field tensor
- The transformation of electromagnetic fields
- The potential due to a moving charge
- The electromagnetic field due to a uniformly moving charge
- Relativistic particle dynamics
- The force on a moving charge
- The electromagnetic energy tensor
- The electromagnetic field due to an accelerated charge
- The Lamor formula
- Radiation losses in charged particle accelerators
- The angular distribution of radiation emitted by an accelerated charge
- Synchrotron radiation

- The effect of dielectric and magnetic media on electric and magnetic
fields
- Polarization
- Boundary conditions for and
- Boundary value problems with dielectrics - I
- Boundary value problems with dielectrics - II
- Boundary value problems with dielectrics - III
- The energy density within a dielectric medium
- The force density within a dielectric medium
- The Clausius-Mossotti relation
- Dielectric liquids in electrostatic fields
- Magnetization
- Magnetic susceptibility and permeability
- Ferromagnetism
- Boundary conditions for and
- Permanent ferromagnets
- A uniformly magnetized sphere
- A soft iron sphere in a uniform magnetic field
- Magnetic shielding
- Magnetic energy

- Electromagnetic wave propagation in dielectrics
- Introduction
- The form of the dielectric constant
- Anomalous dispersion and resonant absorption
- Wave propagation through a conducting medium
- The high frequency limit
- Faraday rotation
- Wave propagation through a magnetized plasma
- The propagation of electromagnetic radiation through a dispersive medium
- Propagation of the wave front in a dispersive medium
- The Sommerfeld precursor
- The method of stationary phase
- The group velocity
- The Brillouin precursor
- Signal arrival
- The propagation of radio waves through the ionosphere
- The W.K.B. approximation
- The reflection coefficient
- Extension to oblique incidence
- Pulse propagation in the ionosphere
- Determining the ionospheric electron density profile
- Ray tracing in the ionosphere
- Asymptotic series: A mathematical aside
- The W.K.B. solutions as asymptotic series
- Stokes constants
- The reflection coefficient
- The Jeffries connection formula

- Radiation and scattering
- Basic antenna theory
- Antenna directivity and effective area
- Antenna arrays
- Thomson scattering
- Rayleigh scattering

- Resonant cavities and wave guides
- Introduction
- Boundary conditions
- Cavities with rectangular boundaries
- The quality factor of a resonant cavity
- Axially symmetric cavities
- Cylindrical cavities
- Wave guides
- Dielectric wave guides

- The multipole expansion
- Multipole expansion of the scalar wave equation
- Multipole expansion of the vector wave equation
- Properties of multipole fields
- Sources of multipole radiation
- Radiation from a linear centre-fed antenna
- Spherical wave expansion of a vector plane wave
- Mie scattering

- About this document ...

Richard Fitzpatrick 2002-05-18