Advanced Electromagnetism

Lecturer:

Lukáš Jelínek (guarantor)

Tutor:

Lukáš Jelínek (guarantor)

Supervisor:

Department of Electromagnetic Field

Synopsis:

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; Electrodynamics of moving objects; 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 circuits design.

Requirements:

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

Syllabus of lectures:

1) macroscopic electromagnetism, electromagnetic potentials, homogenization

2) Bloch's theorem, macroscopic description of periodic distributions of matter, artificial materials

3) Equivalence principle, reflection equivalent, surface equivalent

4) Volume equivalent, Babinet's principle

5) Electromagnetic reciprocity

6) Scalar and dyadic Green's function in 1D, 2D, 3D

7) Decomposition of dyadic Green's function into plane waves and spherical vector waves. Green's function in the presence of material boundaries.

8) Field integral equations

9) Electromagnetic scattering, scattering cross-sections, optical theorem, scattering matrix

10) Characteristic modes

11) Scattering on moving objects, field transformations into inertial and non-inertial frames of reference

12) Scattering on moving objects at relativistic speeds and accelerations

13) Structural synthesis of electromagnetic devices, topology optimization

14) Fundamental limitations

Syllabus of tutorials:

No exercises

Study Objective:

To extend students’ knowledge on 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.

Note:

Further information:

https://cw.fel.cvut.cz/b212/courses/xp17pem/start

Time-table for winter semester 2021/2022:

Time-table is not available yet

Time-table for summer semester 2021/2022:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed	roomT2:B2-621 Jelínek L. 11:00–12:30 (lecture parallel1) Dejvice Katedra 317, blok B2
Thu
Fri

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)