EI2420 Electromagnetic Wave Propagation 7.5 credits

Elektromagnetisk vågutbredning

This course is a master-level course (second cycle) on the topic of how to determine and estimate scattered and radiated electromagnetic fields analytically and numerically.
  • Education cycle

    Second cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

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

Course offerings

Spring 19 TEFRM for programme students

Spring 20 TEFRM for programme students

Intended learning outcomes

When the students have passed the course, they shall be able to:

  • Use Greens function for integral representations of electromagnetic field in external and integral regions of arbitrary shape.
  • Explain estimates and approximations when using integral representations for electromagnetic fields.
  • Relate fields to sources
  • Choose method to solve an integral equation in some type cases.
  • Use the equivalence principle for currents to represent electromagnetic fields
  • To construct approximation and to motivate them when solving the fields from a reflector antenna.
  • Numerical calculate current distribution, scattering and/or reflection and transmission coefficient for three standard cases: wire antenna, coated sphere, antenna over a ground plane.
  • Represent the radiating field with the electromagnetic multipoles.
  • Know and use the approximations of Geometric optics and Physical optics
  • Calculate the radar cross section
  • Analyze a dipole over a conducting plane
  • Use steepest decent, stationary phase, saddle point method to approximate integral representations of fields and to choose which to use at a given situation
  • Solve problems with the zero field method, and to know off, and use the properties of the T-matrix
  • Derive the integral equations in time domain. Be aware of the similarities and differences of integral equations in transient and time harmonic cases.
  • Write detailed reports with motivations for calculations and explanations of simulation results.

Course main content


The lectures are taken after the book Ström & Jonsson. The course treat scattering of fields for arbitrary geometries. Integral equations and representations for the electromagnetic field. Multipoles. One important part which appears throughout the course is to derive estimates and approximations to the given results. We treat reflector antennas, scatterers and a simple model for the influence of the ground plane on an antenna. This course is an advanced course and prepares both for working with radiating electromagnetic fields as well as a first course preparing for research in this field. The book connects to current result in the literature.


Exercises on some of the important items in the course.


150 university credits (hp) in engineering or natural sciences including electromagnetic theory corresponding to the courses EI1200 and EI1210, or instead the course EI1240, and documented proficiency in English corresponding to English B.

Recommended prerequisites

Mathematical Methods in Physics
Theory of Functions
EI2410 Field Theory for Guided Waves, is recommended
Some acquaintance with numerical softwares, like Matlab


S. Ström and L. Jonsson, Electromagnetic Wave Propagation


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

Requirements for final grade

Three larger homework. Verbal examination.

Offered by

EECS/Electrical Energy Engineering


Lars Jonsson


Lars Jonsson <ljonsson@kth.se>

Supplementary information

Written exam

The class schedule is preliminary, and will be adjusted in such a way that as many as possible can attend the classes. This adjustment will happen at the third lectrue.

Add-on studies

Ph.D. courses EI3200, EI3300 etc


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