Electrodynamics

Electrodynamics(D)

ELECTRODYNAMICS (D
IB Electromagnetism and IA Dynamics and Relativity are essential. IB Methods is desirable.

Classical Field Theory

  • Revision of Maxwell’s equations in relativistic form. Action principle for Maxwell’s equations with prescribed current. Action principle for charged particles. Motion of relativistic charged particles in constant electric and magnetic fields.Electromagnetic field energy, momentum and stress tensor. Poynting’s theorem. Energy and momentum density of a plane electromagnetic wave. Radiation pressure. [6]

Electromagnetic Radiation

  • Revision of multipole expansions in electrostatics and magnetostatics. Retarded potential of a timedependent charge distribution. The radiation field. Dipole radiation. Energy radiated. Li´enard– Wiechert potentials for an arbitrarily moving point charge. Larmor formula. Scattering. [5]

Electromagnetism in Media

  • Electric fields in matter and polarisation. Magnetic fields in matter and bound currents. Macroscopic Maxwell equations. Reflection and refraction. Dispersion. Causality and Kramers–Kronig relation. Electromagnetic waves in conductors; the Drude model, plasma oscillations. [5]

Appropriate books

  • A. Zangwill Modern Electrodynamics. CUP 2012
  • J.D. Jackson Electrodynamics. Wiley 1999
  • L.D. Landau and E.M. Lifshitz The Classical Theory of Fields (Course of Theoretical Physics volume 2). Butterworth-Heinemann 1996
  • R. Feynman, R. Leighton and M. Sands The Feynman Lectures in Physics, Vol 2 Basic Books 2001

Associated GitHub Page
https://jaircambridge.github.io/Electrodynamics-D/