The students learn the theory of electromagnetic fields and waves and are able to apply it to related problems in engineering and physics.
Contents:
- Helmholtz theorem
- General overview of the Maxwell equations, different approximations (electrostatics, magnetostatics, Darwin)
- Electrostatics, Coulomb's law, Gauss's theorem, electrostatic potential
- Magnetostatics, Bio-Savart's law, vector potential
- Faraday's law
- Displacement current, Maxwell's equations, vector and scalar potentials
- Gauge transformations, Lorenz gauge, Coulomb gauge
- Energy conservation, Poynting theorem
- Conservation of linear momentum, Maxwell's stress tensor
- Plane waves in non-conducting media
- Plane electromagnetic waves, polarization
- Propagation of a wave packet, phase and group velocities
- Cylindrical waveguides and cavities
- TM, TE, and TEM modes
- Modes in a waveguide with rectangular and circular cross-sections
- Resonant cavities
- Fields and radiation of localized oscillating sources
- Kursleiter/in: Denis Eremin