UE Electromagnetism

Content

1. Maxwell in a vacuum
   • Maxwell's equations
   • Notion of distribution, charge and current distribution
   • Invariances and symmetries of the EM field
   • Interface and boundary conditions
   • Electrostatic case: Coulomb law, electric potential, conductors, dipoles
   • Magnetostatic case: Biot and Savart, magnetic potential, dipoles
   • Magnetodynamic case: induction phenomenon, induced currents
   • Wave case: propagation, reflection on a plane conductor, guided waves
   • Electromagnetic energy in vacuum
2. Maxwell in matter
   • Polarization of material
   • Microscopic origin of polarization
   • Macroscopic aspects of static polarization of dielectric materials
   • Polarization charges
   • Macroscopic fields in matter, dielectric susceptibility (tensor)
   • Microscopic origin of magnetization
   • Paramagnetism, diamagnetism
   • Macroscopic fields in matter, magnetic susceptibility (tensor)
   • Ferromagnetism: spontaneous magnetic order, domains, hysteresis cycles and magnetization processes
   • Electromagnetic energy in matter
3. Propagation of electromagnetic waves in materials
   • Reflection, transmission, absorption and dispersion