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Web page:
https://moodle.fel.cvut.cz/courses/BD5B17ELD
Anotation:
This subject empowers its students with a unified approach to time-varying electromagnetic fields and waves.
Study targets:
Enable students to understand basic electrodynamics.
Content:
Electromegnetic waves in free space and various materials. Transmission and reflection at media interfaces. Polarization, skin-effect.
Course outlines:
1. | | Various potentials used in electromagnetics. Calibration, basic equations. |
2. | | Conditions at media interfaces (boundary conditions). Wave equation, including sources. Phase and group velocity, damping, polarization, wave impedance, dispersion. |
3. | | Electromagnetic fields in various media - interaction. Polarization, magnetization. |
4. | | Power transmission. Plane, cilindrical and spherical waves. Fermato principle. |
5. | | Waves at media interfaces, including lossy ones. Snell's law, Fresnell equations. |
6. | | Total reflection and evanescent waves. Brewster angle and polarization. |
7. | | Wave interaction with layered media. Quarter-wave transformer.. |
8. | | Lines supporting TEM waves. Telegraph equations. Characteristic and wave impedance. Power transmission, losses. |
9. | | Guided and evanescent waves. Modes, impedance, phase and group velocities, power trřansmission. |
10. | | Dielectric waveguides. Resonators. |
11. | | Integral formulation of dynamic fields. Green's function, retarded potentials. Elementary radiators. |
12. | | Near, intermediary and farfield description of fields emited by radiators. |
13. | | Waves in anisotropic media (including interfaces with such one). |
14. | | Introduction to numerical electromagnetics. |
Exercises outline:
1. | | Scalar and vector potential, Hertz vectors. |
2. | | Conditions at media interfaces (boundary conditions). Wave equation, including sources. Phase and group velocity, damping, polarization, wave impedance, dispersion. |
3. | | Electromagnetic fields in various media - interaction. Polarization, magnetization. Total transmission. |
4. | | Power transmission. Plane, cilindrical and spherical waves. |
5. | | Simple calculations of waves reflecting at interfaces between dielectrics.. |
6. | | Detailed calculation of reflection and surface waves for arbitrary incident waves and media. |
7. | | Design of a quarter-wave transformer. Propagation through layered media. Lens coating. |
8. | | Design considerations for a coaxial line and connectors. |
9. | | Guided and evanescent waves.Calculation of arbitrary-crossection waveguide properties. |
10. | | Dielectric waveguides - propagation constants, evanescent fields, coating thickness. Resonators. Calculation of resonant frequencies for different modes. |
11. | | Field description - elementary radiators. |
12. | | Nearfield and farfield description of fields excited by elementary and quarter-wave dipoles.. |
13. | | Evaluation of propagation parameters in inisotropis media. |
14. | | Simple field solution using FDTD. |
Literature:
Hayt, Jr., W. H., Buck, J. A.: Engineering Electromagnetics, 8th ed., McGraw-Hill, New York, 2012
Stratton, J. A.: Electromagnetic Theory. John Wiley and sons. IEEE Press, Piscataway 2007
Requirements:
Knowledge of calculus in 1-D, 2D and 3D. Vectors, Scalar and vector products. Operations with complex numbers.
Subject is included into these academic programs:
Page updated 15.2.2025 17:51:01, semester: L/2024-5, Z/2025-6, Z/2024-5, Send comments about the content to the Administrators of the Academic Programs |
Proposal and Realization: I. Halaška (K336), J. Novák (K336) |