Informations for semester 2021/22/2
Course description
The course consists of

Lectures: every Monday, 12:1514:00 (F3M01)
Lecturer: Gábor Takács
The schedule, topics and recommended literature (including lecture notes) are given below.
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.
Note that there will be a lecture on the 26th of March (which is the workday replacing the 14th of March).
Registration for miniproject presentation (deadline: 16th 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.

Lecture 1 (14th Feb): Potential theory I. Laplace equation in rectangular domains. Spherical coordinates (JCE 2.82.9 and 3.1; ELN 3.33.4)

Lecture 2 (21st Feb): Potential theory II. Laplace equation with asimuthal symmetry. Edge effect. (JCE 3.23.4; ELN 3.5)

Lecture 3 (28th Feb): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. (JCE 3.53.6; ELN 3.5, 3.7)

Lecture 4 (7th Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.18.2)

Lecture 5 (21st 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)

Lecture 6 (26th Mar): Resonant cavities. Quality factor, Lorentz resonance curve. (JCE 8.78.8; ELN 9.5.2)

Lecture 7 (28th 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)

Lecture 8 (4th Apr): Radiation of localized oscillating sources. Multipole expansion of radiation. (JCE 9.19.3; ELN 10.2)

Exercise class 7 (6th Apr, miniproject presentations)

Lecture 9 (11th Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. (JCE 10.110.2; ELN 12.12)

Lecture 10 (25th 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)

Lecture 11 (2nd May): Radiation field of accelerated charge, angular distribution. Radiated power, relativistic Larmor formula. (JCE 14.3 and 14.4; ELN 11.45)

Lecture 12 (9th Apr): Distribution in frequency spectrum and angle. Cherenkov radiation (JCE 14.5 and 13.4)

Exercise class 12 (11th May, miniproject presentations)

Lecture 13 (16th May): Radiation backreaction, the AbrahamLorentz force. (JCE 16.116.3)

Exercise class 13 (18th May, miniproject presentations)
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 the first ten problem solving classes, 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).