Course description
The course consists of

Lectures: every Monday, 12:1514:00 (F3M01)
The schedule, topics and recommended literature are given below.

Exercise classes: every Wednesday, 14:1516:00
There are 10 sessions involving problem solving, and 3 sessions in which miniprojects are reported. Miniprojects consist of sources on a given topic assigned for homework, which are reported in a short seminar type presentation.
Course schedule
Written sources are listed after each lecture; for the abbreviations cf. the list of recommended reading below.
For each exercise class the topic designation is a link to the corresponding problem sheet.

Week 1 (10th Feb): Potential theory I. Laplace equation in rectangular domains. Spherical coordinates (JCE 2.82.9 and 3.1; ELN 3.33.4)

Week 2 (17th Feb): Potential theory II. Laplace equation with asimuthal symmetry. Edge effect. (JCE 3.23.4; ELN 3.5)

Week 3 (24th Feb): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. (JCE 3.53.6; ELN 3.5, 3.7)

Week 4 (2nd Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.18.2)

Week 5 (9th Mar): 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)

Exercise class (miniproject presentations):

Magnetic levitation, Earnshaw theorem. Levitron. Diamagnetic levitation

Magnet falling in conducting pipe, eddy current brake

Magnetic monopoles

Phenomenology of superconductivity, London depth, Meissner effect

Week 6 (16th Mar): Resonant cavities. Quality factor, Lorentz resonance curve. (JCE 8.78.8; ELN 9.5.2)

Week 7 (23rd Mar): 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 8 (30th Mar): Radiation of localized oscillating sources. Multipole expansion of radiation. (JCE 9.19.3; ELN 10.2)

Week 9 (6th Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. Critical opalescence. (JCE 10.110.2; ELN 12.12)

Week 10: No classes  spring break
Calculational test (week 11)

Week 11 (20th Apr): Electromagnetic field of a moving charge. LienardWiechert potentials and field strength. Radiated power. (JCE 14.1 and 14.2; ELN 11.13 and 14.5)

No exercise class (Dean's break)

Week 12 (27th Apr): Radiation field of accelerated charge, angular distribution. Radiated power, relativistic Larmor formula. (JCE 14.3 and 14.4; ELN 11.45)

Exercise class (miniproject presentations)

Attenuation in wave guides

Schumann resonances: the Earth as a resonator

Wave propagation in optical fibers

Wave modes in optical fibers

Week 13 (4th May): Distribution in frequency spectrum and angle. Cherenkov radiation I. (JCE 14.5 and 13.4)

Week 14 (11th May): Cherenkov radiation II. Transition radiation. (JCE 13.4 and 13.7; ELN 13.12; CTN)

Week 15 (18th May): Radiation backreaction, the AbrahamLorentz force. (JCE 16.116.3)

Exercise class (miniprojects)

Metamaterials

Spherical waves and the Green's function of wave equation in spherical coordinates

Signal propagation in dispersive media

Signal arrival in dispersive media, precursors
Recommended reading:
Course requirements
Condition for signature: attending at least 70% of exercise classes + score of at least 40% at the calculational test + complete a miniproject.
Evaluation:

written test consisting of 4 calculational problems (30%)

miniproject presentation (30%)

written exam during the week after the lecture period (40%)
The results are combined with the weights given above and marked according to
039: fail (1) 4054: pass (2) 5569: average (3) 7084: good (4) 85100: excellent (5)
During tests, student can use the following mathematical supplement.