course: Electromagnetic Fields

number:
141367
teaching methods:
lecture with tutorials
media:
computer based presentation, black board and chalk
responsible person:
Prof. Dr. Ralf Peter Brinkmann
lecturer:
Dr. Denis Eremin (ETIT)
language:
english
HWS:
3
CP:
5
offered in:
summer term

dates in summer term

  • start: Monday the 09.04.2018
  • lecture Mondays: from 12:15 to 13.45 o'clock in ID 03/411
  • tutorial Wednesdays: from 12:15 to 13.00 o'clock in ID 03/411

Exam

Oral

Date according to prior agreement with lecturer.

Duration: 30min
Exam registration: FlexNow

goals

The students have learned the theory of electromagnetic fields and waves and are able to apply the techniques to related problems in engineering and physics.

content

  1. Vectors and coordinate systems, curvilinear coordinates, gradient, divergence, curl
  2. Kronecker symbol, Levi-Civita symbol, divergence theorem, Stokes theorem, Taylor theorem, Dirac delta function
  3. Helmholtz theorem
  4. Maxwell's equations, electric charge, electric current, conservation of charge, electrostatics
  5. Magnetostatics
  6. Faraday's law
  7. Displacement current, Maxwell's equations, vector and scalar potentials
  8. Lorenz gauge, Coulomb gauge
  9. Energy conservation, Poynting theorem
  10. Conservation of linear momentum
  11. Plane waves in nonconductiong media
  12. Properties of electromagnetic waves, polarization
  13. Green's function of the wave equation, group velocity
  14. Cylindrical waveguides and cavities
  15. TM, TE, and TEM waves
  16. Waveguide modes
  17. Resonant cavities
  18. Fields and radiation of localized oscillating sources

requirements

none

recommended knowledge

Fundamental knowledge of electromagnetics, partial differential equations, and vector calculus would be helpful.

materials

script:

literature

  1. Jackson, John David "Classical Electrodynamics", Wiley & Sons, 1998
  2. Griffiths, D.J. "Introduction to Electrodynamics", Prentice Hall, 1999
  3. Zangwill, A. "Modern Electrodynamics", Cambridge University Press, 2013
  4. Kendall, P.C. "Vector Analysis and Cartesian Tensors", CRC Press, 1992