Course description
The course consists of

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

Exercise classes: every Wednesday, 14:1516:00 (R501)
Tutor: Balázs Hetényi
There are 10 sessions involving problem solving, and 2 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.
For the time being, the course is held using the platform Microsoft Teams, so the above room designations are only activated once we return to offline teaching.
Registration for miniproject presentation (deadline: 17th March)
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 (8th Feb): Potential theory I. Laplace equation in rectangular domains. Spherical coordinates (JCE 2.82.9 and 3.1; ELN 3.33.4)

Week 2 (15th Feb): Potential theory II. Laplace equation with asimuthal symmetry. Edge effect. (JCE 3.23.4; ELN 3.5)

Week 3 (22th Feb): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. (JCE 3.53.6; ELN 3.5, 3.7)

Week 4 (1st Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.18.2)

Week 5 (8th 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)

Week 6 (17th Mar): Resonant cavities. Quality factor, Lorentz resonance curve. (JCE 8.78.8; ELN 9.5.2)

Note: there is no exercise class this week  replaced by lecture due to national holiday on 15th of March!

Week 7 (22nd 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 (29th Mar): Radiation of localized oscillating sources. Multipole expansion of radiation. (JCE 9.19.3; ELN 10.2)

Exercise class (31st Mar, miniproject presentations)
Spring break

Week 9 (12h Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. Critical opalescence. (JCE 10.110.2; ELN 12.12)

Week 10: (19th 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)

Week 11 (26th Apr): Radiation field of accelerated charge, angular distribution. Radiated power, relativistic Larmor formula. (JCE 14.3 and 14.4; ELN 11.45)

Week 12 (3rd May): Distribution in frequency spectrum and angle. Cherenkov radiation (JCE 14.5 and 13.4)

Exercise class: (5th May, miniproject presentations)

Week 13 (10th May): Radiation backreaction, the AbrahamLorentz force. (JCE 16.116.3)
Recommended reading:
Course requirements
Condition for signature: attending at least 70% of exercise classes + submission of all homeworks with a score of at least 40% + complete a miniproject.
Evaluation:
The whole course is evaluated together with a single mark, given as a combination of the following:

homework: after each of the 10 problem solving classes except the last one, the solution of three assigned problems must be submitted. Weight: 30%

miniproject presentation. Weight: 30%

written test during the week after the lecture period  includes problem solving and theory. Once the written test has been taken, further exams are oral. Weight: 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 and exams, student can use the following mathematical supplement, as well as the summary of calculus in curvilinear coordinates (printed from Wikipedia).