Subject description - XP17PEM

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XP17PEM Advanced Electromagnetism
Roles:S Extent of teaching:2P+2D
Department:13117 Language of teaching:CS
Guarantors:Jelínek L. Completion:ZK
Lecturers:Jelínek L. Credits:3
Tutors:Jelínek L. Semester:

Web page:


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.

Study targets:

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

Course outlines:

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

Exercises outline:

No exercises


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.


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


Classical electromagnetism, Electromagnetic wave, Scattering, Duality, Reciprocity, Equivalence, Green’s function, Artificial materials

Subject is included into these academic programs:

Program Branch Role Recommended semester
DOKP Common courses S
DOKK Common courses S

Page updated 19.5.2024 15:51:18, semester: Z/2024-5, Z,L/2023-4, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)