Fundamentals of Electrodynamics

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12ZELD Z,ZK 2 2+0 Czech
Ivan Richter (guarantor), Milan Šiňor (guarantor)
Ivan Richter (guarantor), Milan Šiňor (guarantor)
Department of Physical Electronics

Subject starts by derivation of Maxwell-Lorentz microscopic equations followed by transition to Maxwell macroscopic theory. Using special theory of relativity formulae are found for transformation of field vectors between two inertial systems of coordinates with appropriate invariants. Wave and Helmholtz equations are derived. By expansion into plane monochromatic waves methods of solving these equations are studied in homogeneous media with gradually increasing complexity: isotropic without losses, with absoption, with dispersion, and non-isotropic. Finally, solution in weakly non-homogeneous madia is presented using the method of eiconal. Individual chapters are illustrated by appropriate examples.


Electricity and Magnetism (compulsory)

Waves, Optics, and Atomic Physics (recommended)

Syllabus of lectures:

1.Maxwell-Lorentz Microscopic Theory - Recapitulation

2.Maxwell Macroscopic Theory, Material Relations

3.Special Theory of Relativity Applied to Electromagnetic Theory

4.Concept of Plane Electromagnetic Waves (PEW)

5.Propagation of PEW in Homogeneous Isotropic Media (Wave Equation, Helmholtz Equation)

6.Poynting's Vector, Energy Flux and Conservation Laws

7.Polarisation of PEW (Stockes Parameters and Coherence Matrix)

8.Propagation of PEW in Dispersive Media - Dispersion Relation

9.Propagation of PEW in non-isotropic Media - Overview of Methods

10.Propagation of PEW in non-isotropic Media - Crystals, Magnetised Plasma and Ferrits

11.Propagation of Electromagnetic Waves in Weakly non-homogeneous Media

12.Eiconal Equation, Equation of Amplitude Transfer, and Beam Equation

Syllabus of tutorials:

Excercises are used in the form of solving specific examples as required for illustration of acquired theoretical knowledge.

Study Objective:


Acquiring knowledge required for studies of propagation of electromagnetic waves in basic types of media.


Mastering methods of solving Maxwell equations for propagation of electromagnetic waves in linear media.

Study materials:

Key references:

[1] M. Kálal: Základy elektrodynamiky (elektronické skriptum),

FJFI ČVUT v Praze, 2018

Recommended references:

[2] G. Lončar: Elektrodynamika I, Skriptum, FJFI ČVUT v Praze, 1987

[3] J.A. Stratton: Teorie Elektromagnetického pole, TKI - SNTL, Praha 1961

[4] I. Štoll: Elektřina a magnetismus, Skriptum, FJFI ČVUT v Praze, 1994

[5] B. Kvasil: Vybrané kapitoly z radioelektroniky, Academia Praha, 1969

[6] J.D. Jackson: Classical Electrodynamics, J. Wiley, New York, 1975

Further information:
Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
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The course is a part of the following study plans:
Data valid to 2021-01-18
For updated information see http://bilakniha.cvut.cz/en/predmet1795506.html