Code: 12ZELD Fundamentals of Electrodynamics
Lecturer: doc. Ing. Milan Kálal CSc. Weekly load: 2+0 Completion: A, EX
Department: 14112 Credits: 2 Semester: W
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.
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
Recommended literature:
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
Maxwell-Lorentz microskopic theory. Maxwell macroscopic theory. Special theory of relativity. Invariants. Plane waves. Energy flux and conservation laws. Polarisation of electromagnetic waves. Wave propagation in dispersion media. Electromagnetic waves in anisotropic media. Dispersion relations. Electromagnetic waves in non-homogeneous media. Equations of eiconal, amplitude transfer, and beam propagation.

Abbreviations used:


Mode of completion of the course: