Code: 12ZELD 
Fundamentals of Electrodynamics 
Lecturer: doc. Ing. Milan Kálal CSc. 
Weekly load: 2+0 
Completion: A, EX 
Department: 14112 
Credits: 2 
Semester: W 
 Description:

Subject starts by derivation of MaxwellLorentz 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 nonisotropic. Finally, solution in weakly nonhomogeneous madia is presented using the method of eiconal. Individual chapters are illustrated by appropriate examples.
 Contents:

1.MaxwellLorentz 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 nonisotropic Media  Overview of Methods
10.Propagation of PEW in nonisotropic Media  Crystals, Magnetised Plasma and Ferrits
11.Propagation of Electromagnetic Waves in Weakly nonhomogeneous 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
 Keywords:
 MaxwellLorentz 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 nonhomogeneous media. Equations of eiconal, amplitude transfer, and beam propagation.
Abbreviations used:
Semester:
 W ... winter semester (usually October  February)
 S ... spring semester (usually March  June)
 W,S ... both semesters
Mode of completion of the course:
 A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
 GA ... Graded Assessment (a grade is awarded for this course)
 EX ... Examination
 A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject)