9360-0300/03 – Theory of Electromagnetic Field (TEMP)

Gurantor departmentCNT - Nanotechnology CentreCredits10
Subject guarantorprof. RNDr. Petr Hlubina, CSc.Subject version guarantorprof. RNDr. Petr Hlubina, CSc.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2020/2021Year of cancellation
Intended for the facultiesFMTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
HLU03 prof. RNDr. Petr Hlubina, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 20+0
Part-time Examination 20+0

Subject aims expressed by acquired skills and competences

Clasify the basic parameters of electromagnetic field. Modify and reconstruct the mathematical models for field description. Interpret and predict the ambience influence.

Teaching methods

Individual consultations


The subject creates the basic laws of electric and magnetic fields. It is devoted to the study of electromagnetic wave propagation in different media: homogeneous, nonhomogeneous, absorbing, isotropis, and anisotropic. The special attention is oriented on the interaction of electromagnetic waves with interfaces. The final part is focused on modeling.

Compulsory literature:

1. Born, M. – Wolf, E.: Principles of Optics. Cambridge University Press, 1999 2. Wangsness, R., K.: Electromagnetic Fields. John Wiley&Sons, 1986 3. Griffiths, D., J.: Introduction to Electrodynamics. Prentice Hall, 1999

Recommended literature:

1. Yeh, P.: Optical Waves in Layered Media. John Wiley&Sons, New York, 1988 2. Kong, J.A.: Electromagnetic Wave Theory. EMW Publishing, Cambridge, 2000

Way of continuous check of knowledge in the course of semester

Written form: 4 examples from the collection of recommended examples. Oral: Discussion in the frame of two selected technical issues.


Electronic version of "paperback".

Other requirements

individual and systematic study


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. STATIONARY FIELD 1.1 Electrostatic field. Calculation field with scalar potential. Multipole expansion of static fields. Energy field. 1.2 Magnetostatic field of permanent magnets and its solution using magnetostatic respectively. vector potential. 1.3 Field of stationary currents. Ohm's law for the circuit with an external source, magnetic field outside circuits. 1.4 Quasistationary field, its definition and solution potentials. System circuits, the oscillation circuit. Skin effect. 2. Nonstationary FIELD 1.2 The laws of conservation of energy and momentum. 2.2 Solution using the scalar and vector potential. 3.2 Multipole expansion of nonstationary field. 3. Propagation of electromagnetic waves 1.3 Wave propagation in a lossless environment. Homogeneous wave equation. Monochromatic plane waves and their properties. Polarization waves. Energy transmitted monochromatic waves. 2.3 Wave propagation in a lossy environment. Generalized wave equation. Properties monochromatic plane waves. Energy transmitted waves absorption. 3.3 Wave propagation in anisotropic dielectric crystals. Material relations and the relative position of the fundamental vector field. Phase and radial velocity monochromatic waves, optical axis. Polarization waves in crystals. Uniaxial crystals. 3.4 Wave propagation in anisotropic media loss. Yehův formalism Jones and Mueller matrices, coherent matrix. 3.5 Wave propagation in environments with induced anisotropy and active media, Magnetic-. 4. WAVES OF CONDUCT interface between two media 1.4 Derivation of the law of reflection and refraction and Fresnel formulas at the interface of two lossless environment from the boundary conditions. 2.4 Reflectance and transmittance between two lossless environment and their dependence on the angle of incidence. 4.3 Total reflection at the interface of two lossless environment, complex shape reflection and transmission coefficients. Reflected and refracted wave at full reflection. 4.4 Reflection and refraction at interfaces lossless and lossy environments. 5.4 Reflection and refraction at the interface of two anisotropic environment. 6.4 Propagation of the electromagnetic waves in multilayers. 4.7 Prismatic weave, tunnel effect, ATR. 5. INTERACTION OF ELECTROMAGNETIC WAVES with periodic structure 5.1 Reflection on 1D and 2D isotropic and lossless lattices. 2.5 Reflection on 1D and 2D anisotropic lattices.

Conditions for subject completion

Part-time form (validity from: 2020/2021 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0719D270002) Nanotechnology P Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0719D270002) Nanotechnology K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0719D270002) Nanotechnology K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0719D270002) Nanotechnology P Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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