Course description
Course schedule and topics covered
Written sources are listed after each lecture; for the abbreviations cf. the list of recommended reading below.

Week 1: Potential theory I. Laplace equation in rectangular domains. Spherical coordinates.

JCE 2.82.9 and 3.1; ELN 3.33.4

Week 2: Potential theory II. Laplace equation with asimuthal symmetry. Edge effect.

Week 3: Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion.

JCE 3.53.6; ELN 3.5, 3.7

Week 4: Surface effects in conductors. General theory of wave guides.

Week 5: TEM, TE and TM modes in wave guides, Energy density and current, phase and group velocities.

JCE 8.38.4 and 8.5 up to eqn. (8.54); ELN 9.5.1

Week 6: Resonant cavities. Quality factor, Lorentz resonance curve.

Week 7: no lecture  spring break

Week 8: Electromagnetic waves in matter, dispersion, plasma frequency, KramersKornig relation. Absorption and conductivity, Drude model.

JCE 7.57.6 and 7.10; ELN 9.3

Week 9: Radiation of localized oscillating sources. Multipole expansion of radiation.

Week 10: Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. Critical opalescence.

JCE 10.110.2; ELN 12.12

Week 11: Electromagnetic field of a moving charge. LienardWiechert potentials and field strength, radiated power.

JCE 14.114.2; ELN 11.13 and 14.5

Week 12: no lecture  Easter Monday.

Week 13: Radiation field of accelerated charge. Angular distribution and frequency spectrum. Ultrarelativistic case.

JCE 14.3 and 14.5; ELN 11.45

Week 14: Cherenkov and transition radiation.

JCE 13.4 and 13.7; ELN 13.12; CTN

Week 15: Radiation backreaction, the AbrahamLorentz force.
Recommended reading:
Course requirements
Condition for signature: at least a pass mark in the practice course.
Evaluation: oral exam.
Each student gets a longer and a shorter topic to report on. Preparation time: 45 minutes. During the exam, students can consult the following mathematical supplement.
List of exam topics
Further information
Time and place of lecture
Mondays 12:152:00 pm. Lecture hall: F3M01.