UFAF007 Classical Electrodynamics

Faculty of Philosophy and Science in Opava
Summer 2023
Extent and Intensity
2/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Martin Kološ, Ph.D. (lecturer)
RNDr. Martin Kološ, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Stanislav Hledík, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites (in Czech)
UF/01100 "Ekektřina a magnetismus", znalost běžného VŠ kalkulu a lineární algebry.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The explanation connects primarily with the course UF/01100. Maxwell's equations are - after a short recap - introduced axiomatically (in the course UF/1U300 - after completition of the 4-vector formalism - are subsequently derived from the variational principle), further theory is built in a deductive way.
Syllabus
  • 1. Basic quantities of electrodynamics. Recap of electromagnetic phenomena. Maxwell's equations in integral and differential form.
    2. Static and quasistationary field. Laplace and Poisson equations. Uniqueness of the solution. Methods for solving electrostatic field. The field of stationary current. Multipole expansion. Equation of quasistationary field.
    3. Conservation laws in electrodynamics. The law of conservation of electric charge, energy, momentum and angular momentum. Poynting vector and the Maxwell stress tensor.
    4. Tensor of electromagnetic field. Maxwell's equations in covariant form. The transformation laws for the electromagnetic field, invariants of electromagnetic field. Lagrangian and Hamiltonian formalism. Energy-momentum tensor. Radiation pressure.
    5. Scalar and vector potential, gauge transformations and invariance. The wave equations for electromagnetic potentials. The canonical form of the equations of electromagnetic fields.
    6. Electromagnetic radiation. Advanced and retarded potentials. Liénard-Wiechert potentials. Multipole expansion of the radiation field. Electric and magnetic dipole radiation, electric quadrupole radiation.
    7. Propagation of electromagnetic waves. Electromagnetic waves in various environments (dielectrics, conductors). Polarization. Reflection and refraction at a dielectric interface. Fresnel formulas. Reflection on metals.
    8. Scattering of electromagnetic waves. Basic theory of waveguides. Cavity resonator.
    Current information and additional study materials can be found here: http://www.hledik.org/
Literature
    recommended literature
  • Kvasnica J. Teorie elektromagnetického pole. Academia, Praha, 1985. info
  • Jackson, J. D. Classical Electrodynamics. John Wiley, New York, 1975. info
    not specified
  • Hledík S. Webové stránky předmětu. URL info
Teaching methods
One-to-One tutorial
Internship
Skills demonstration
Assessment methods
The analysis of student 's performance
Written test
Credit
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
At least 80% attendance at seminars. To obtain credit, students must successfully complete written credit test. The exam is written (4 problems, 120 minutes) and oral (2 questions).
The course is also listed under the following terms Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2024.
  • Enrolment Statistics (Summer 2023, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2023/UFAF007