Course data
Course name: Electrodynamics 2
Neptun ID: BMETE15AF48
Responsible teacher: Gábor Takács
Department: Department of Theoretical Physics
Programme: BSc Physics
Course data sheet: BMETE15AF48
Requirements, Informations

Informations for semester 2021/22/2

Course description

The course consists of 


  • Lectures: every Monday, 12:15-14:00 (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 mini-projects are reported. Mini-projects 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 mini-project 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 2.8-2.9 and 3.1; ELN 3.3-3.4​)
  • Lecture 2 (21st Feb): Potential theory II. Laplace equation with asimuthal symmetry. Edge effect. (​JCE 3.2-3.4; ELN 3.5)
  • Lecture 3  (28th Feb): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. ​(JCE 3.5-3.6; ELN 3.5, 3.7)
  • Lecture 4 (7th Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.1-8.2)
  • Lecture 5 (21st Mar): TEM, TE and TM modes in wave guides, Energy density and current, phase and group velocities. ​(JCE 8.3-8.4 and 8.5 up to eqn. (8.54); ELN 9.5.1)
  • Lecture 6 (26th Mar): Resonant cavities. Quality factor, Lorentz resonance curve. (JCE 8.7-8.8; ELN 9.5.2)
  • Lecture 7 (28th Mar): Electromagnetic waves in matter, dispersion, plasma frequency, Kramers-Kornig relation. Absorption and conductivity, Drude model. (​JCE 7.5-7.6 and 7.10; ELN 9.3)
  • Lecture 8 (4th Apr): Radiation of localized oscillating sources. Multipole expansion of radiation. ​(JCE 9.1-9.3; ELN 10.2) 
    • Exercise class 7 (6th Apr, mini-project presentations)
  • Lecture 9 (11th Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. ​(JCE 10.1-10.2; ELN 12.1-2) 
  • Lecture 10 (25th Apr) Electromagnetic field of a moving charge. Lienard-Wiechert potentials and field strength. Radiated power. (​JCE 14.1 and 14.2; ELN 11.1-3 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 11.4-5)
  • Lecture 12 (9th Apr): Distribution in frequency spectrum and angle. Cherenkov radiation (​JCE 14.5 and 13.4)
    • Exercise class 12 (11th May, mini-project presentations)
  • Lecture 13 (16th May): Radiation backreaction, the Abraham-Lorentz force. (​JCE 16.1-16.3)
    • Exercise class 13 (18th May, mini-project 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 mini-project.


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%  
  • mini-project 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

0-39: fail (1) 40-54: pass (2) 55-69: average (3) 70-84: good (4) 85-100: excellent (5)

During tests and exams, student can use the following mathematical supplementas well as the summary of calculus in curvilinear coordinates (printed from Wikipedia).