**Electromagnetic Waves:** Revision
of Maxwell's equations. Light as an electromagnetic wave.
Polarisation and partial
polarisation. Light in anisotropic media, polarisers, optical
activity, Faraday rotation.

**Electrodynamics:** Vector
potential, *A*, calculation of
*A* in simple cases, Aharonov-Bohm effect, Maxwell's
equations in terms of *A* and *\phi*, choice of gauge,
wave equations for *A* and *\phi*, and general
solution, retarded potentials.

**Radiation:** Time-varying fields
and radiation, Hertzian dipole, power radiated including angular
distribution, magnetic dipoles. Properties of antennas: effective
area, radiation resistance, power-pattern. Half-wave dipole.
Scattering: cross-section, Thomson and Rayleigh scattering, denser
media and the structure factor.

**Fundamentals of Special
Relativity:** Experimental basis and tests of SR, Lorentz
transformations, elementary consequences, Doppler effect, aberration
and visual appearance of objects.

**The structure of spacetime:**
Intervals, invariants, light cone, 4-vectors, scalar products,
transformations of 4-vectors, 4-velocity, 4-acceleration,
transformation of plane waves, fundamentals of tensor algebra.

**Relativistic particle dynamics:** Relativistic momentum,
energy, conservation of 4-momentum, Compton scattering, 4-force,
systems with variable velocity.

**Relativistic Electrodynamics:**
Charges and currents, 4-current, 4-potential, transformation of
*E* and *B*, covariance of Maxwell's
equations, magnetism as a relativistic effect, field strength tensor,
dual field strength tensor, invariants of the EM field, energy and
momentum of the EM field. Electrodynamics as the ``simplest''
relativistic theory.

**Radiation and relativistic electrodynamics:** fields of a
uniformly moving charge, Cerenkov radiation, accelerated charges,
Larmor and Lienard formulae, cyclotron and synchrotron
radiation, * Bremsstrahlung*.