Advanced Electromagnetism

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Code Completion Credits Range Language
XP17PEM ZK 3 2P+2D Czech
Garant předmětu:
Lukáš Jelínek
Lukáš Jelínek
Lukáš Jelínek
Department of Electromagnetic Field

The course presents advanced topics of classical electromagnetic field theory, especially: electric and magnetic vector potential; reciprocity, duality, and equivalence principle; Green's function; multipole expansion; scattering and characteristic modes; homogenization and Bloch's theorem; synthesis and topological optimization

The knowledge gained in this course can be used in many branches of applied electromagnetism, especially in antenna theory and microwave circuit design.


The knowledge of electromagnetic field theory within the extent of master courses AE8B17EMTA and AE8B17ELD is assumed.

Syllabus of lectures:

1) Macroscopic electromagnetism, homogenization, macroscopic description of periodic distributions of matter, artificial materials

2) Sources of electromagnetic field, electromagnetic potentials

3) Conservation of energy, momentum, and angular momentum in an electromagnetic field

4) Electromagnetic reciprocity - description

5) Electromagnetic reciprocity - consequences

6) Volume equivalent and field-integral equations

7) Surface equivalent

8) Babinet's principle

9) Dyadic Green's function

10) Spectral decomposition of Green's function

11) Electromagnetic scattering on electrically small objects, scattering cross-sections

12) General electromagnetic scattering, scattering dyadic, transition matrix

13) Characteristic modes

14) Structural synthesis of electromagnetic devices, topology optimization, fundamental limitations

Syllabus of tutorials:

No exercises

Study Objective:

To extend students' knowledge of electromagnetic field theory by topics that are out of the scope of master courses.

Study materials:

1) Robinson, F. N. H.: Macroscopic electromagnetism, Pergamon Press, New York 1973.

2) Harrington, R. F.: Time-Harmonic Electromagnetic Fields, John Wiley and Sons, Inc., New York, 2001.

3) Jackson, J. D.: Classical Electrodynamics, John Wiley & Sons, Inc., New York, 1998.

4) Balanis, C. A.: Advanced Engineering Electromagnetics, 2nd ed., John Wiley and Sons, New York, 2012.

5) Zangwill, A.: Modern Electrodynamics, Cambridge University Press, New York, 2012.

6) Van Bladel, J., Electromagnetic Fields, John Wiley & Sons, 2nd ed., 2007.

7) Bohren, C. F., Huffman, D. R.: Absorption and Scattering of Light by Small Particles, John Wiley and Sons, New York, 1998.

8) Kristensson, G.: Scattering of Electromagnetic Waves by Obstacles, Scitech Publishing, 2016.

Further information:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-08-30
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