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

Course description

The course consists of 


  • Lectures: every Monday, 12:15-14:00 (F3M01)

​The schedule, topics and recommended literature are given below.


  • Exercise classes: every Wednesday, 14:15-16:00

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.


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 2.8-2.9 and 3.1; ELN 3.3-3.4​)
  • Week 2 (17th Feb): Potential theory II. Laplace equation with asimuthal symmetry. Edge effect. (​JCE 3.2-3.4; ELN 3.5)
  • Week 3  (24th Feb): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. ​(JCE 3.5-3.6; ELN 3.5, 3.7)
  • Week 4 (2nd Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.1-8.2)
  • Week 5 (9th 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)
    • ​Exercise class (mini-project 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 8.7-8.8; ELN 9.5.2)
  • Week 7 (23rd 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)
  • Week 8 (30th Mar): Radiation of localized oscillating sources. Multipole expansion of radiation. ​(JCE 9.1-9.3; ELN 10.2)
  • Week 9 (6th Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. Critical opalescence. ​(JCE 10.1-10.2; ELN 12.1-2)
  • Week 10: No classes - spring break


​Calculational test (week 11)


  • Week 11 (20th 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)
    • 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 11.4-5)
    • Exercise class (mini-project 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 13.1-2; CTN)
  • Week 15 (18th May): Radiation backreaction, the Abraham-Lorentz force. (​JCE 16.1-16.3)
    • ​Exercise class (mini-projects)
      • 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 mini-project.


  • written test consisting of 4 calculational problems (30%)
  • mini-project 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

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

During tests, student can use the following mathematical supplement