Theory of Electromagnetic Field and Waves

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Code Completion Credits Range
15POLE Z,ZK 4 4+1
Aleš Vetešník (guarantor)
Aleš Vetešník (guarantor)
Department of Nuclear Chemistry

The course comprises of three parts: the first part contains selected passages of the theory of the electromagnetic field, the second part is dedicated to the wave motion and the optics, and the third part is the introduction to the atomic physics.


electricity and magnetism, differential and integral calculus of one and several variables, ordinary and partial differential equations;

Syllabus of lectures:

1.Introduction to the vector calculus.

2.Basic concepts and experimental findings of the Maxwell's theory of electromagnetic field.

3.The general form of Maxwell's equations.

4.Maxwell's equations for the electrostatic and the magnetostatic field.

5.Maxwell's equations for the non-stationary electromagnetic field and their solutions for the selected problems.


7.Travelling and standing waves on the string. Fourier analysis and its applications.

8.Wave packet.

9.Polarization and coherence.

10.Interference and diffraction.

11.Geometric optics.

12.The classical theory of black-body radiation.

13.The quantum description of black-body radiation.

14.The corpuscular - wave dualism of electromagnetic radiations and elementary particles.

15.Development of the atomic model.

Syllabus of tutorials:

1.Derivation of important equations from the vector analysis.

2.Electromagnetic field theory exercises.

3.Exercises in oscillations and waves.

4.Exercises in atomic physics.

5.Exact analytic treatment of the Schrödinger equation for simple quantum systems.

Study Objective:

Learning outcome

The basic equations of the Maxwell's theory of electromagnetic field (e.g. the electrostatic field, the field of oscillating electric dipole).

The basic knowledge of the field of mechanical and electromagnetic waves in linear, homogenous and isotropic media.

The quantum theory of black-body radiation.

The basic ideas of quantum physics.


The solution, and the physical interpretation of the solution, of the Maxwell's equations for the basic electromagnetic fields.

The Fourier analysis of a signal.

The description of the superposition of travelling waves.

The determination of wavelength from the difraction of light on a grating.

The solution, and the physical interpretation of the Schrödinger equation for simple quantum systems.

Study materials:

Key literature:

1.M. Čechová, I., Vyšín: Teorie elektromagnetického pole. UP Olomouc, 1998.

2.J. Kvasnica: Teorie elektromagnetického pole. Academia Praha, 1985.

Recommended literature:

5.J. Tolar: Vlnění, optika a atomová fyzika, (http://www.fjfi.cvut.cz/files/k402/files/skripta/voaf/VOAF2008.pdf).

6.E. V. Špolskij: Atomová fyzika, I. Úvod do atomové fyziky. Technicko-vědecké vydavatelství, Praha 1952.

7.R. P. Feynman, R. B. Leighton, M. Sands: Feynmanovy přednášky z fyziky, Fragment, Praha 2002.

8.Z. Horák, F. Krupka: Technická fyzika. SNTL Praha, 1981.

Time-table for winter semester 2022/2023:
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Time-table for summer semester 2022/2023:
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The course is a part of the following study plans:
Data valid to 2022-09-29
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