EI2410 Field Theory for Guided Waves 7.5 credits

Fältteori för vågledare

  • Education cycle

    Second cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Spring 19 for programme students

Spring 20 TEFRM for programme students

Information for research students about course offerings

The course is offered during period 3, the spring semester 2017.

Intended learning outcomes

The course provides knowledge about and skill to analyse the above mentioned waveguides, regarding e.g. wave propagation; dispersion; energy transport; losses; scattering. After completion of the course the student shall be able to

  • explain reciprocity and passivity for a material
  • apply the decomposition technique on the fields and Maxwell’s equations in an isotropic medium
  • explain the concept waveguide mode and analyse the TM-, TE- & TEM-modes in metallic waveguides
  • describe the modes in metallic waveguides of rectangular and circular cross sections
  • use FEM to analyse waveguides with arbitrary cross sections
  • explain mode orthogonality and use it when analysing energy transport
  • explain the relation between phase velocity and group velocity
  • explain chromatic, multi-mode and material dispersion
  • compute the modes excited from a current source inside a waveguide
  • use the mode matching technique to determine the scattered modes at discontinuties in waveguides
  • use the energy conservation method to analyse attenuation of non-degenerate modes
  • use perturbation methods to analyse attenuation and coupling between degenerate modes
  • analyse cavity resonators, regarding resonance modes, mode othogonality and losses
  • explain the quality factor and it’s relations to the band width
  • use conformal mapping and FEM to determine the parameters in multi-conductor systems
  • analyse quasi-TEM modes in multi-conductor transmssion lines: propagation; orthogonality; power transport
  • determine the scattering matrices for connected multi-transmission lines
  • describe the principle for waves trapped inside a dielectric layer
  • analyses TM- & TE-modes in planar dielectric waveguides
  • analyse TM-, TE-, EH- & HE-modes in circular dielectric waveguides – optical fibers

Course main content

Electromagnetic fields guided by structures are utilised in several applications. A general name for such a structure is a waveguide. Some examples: cables for electrical power distribution; transmission lines for carrying information between electric/electronic devices and between components on circuit boards; metallic waveguides to distribute high power in antenna systems for radar and telecommunication; cavity resonators as narrow banded filters; optical fibers for high speed communication.


The courses EI1200 Electromagnetic Field Theory and EI1210 Wave Propagation & Antennas, or the course EI1240 Electromagnetic Theory or equivalent knowledge of Eng B or equivalent. "

Recommended prerequisites

Basic courses in electromagnetic theory. Course in mathematical methods in physics and complex analysis are recommended.


M. Norgren Field Theory for Guided Waves (kurskompendium)


  • TEN1 - Examination, 7.5, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

Project tasks and written examination (TEN1; 7,5 cr).

Offered by

EECS/Electrical Energy Engineering


Martin Norgren


Martin Norgren <mnorgren@kth.se>

Add-on studies

EI2400 Applied Antenna Theory
EI2420 Electromagnetic Wave Propagation


Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.