Electromagnetic waves and transmission lines

Higher education teachers: Košir Andrej
Collaborators: Kunaver Matevž

Subject description

Part. I: Transmission lines.
Classical analysis of transmission lines using partial differential equations. Boundary conditions in transmission lines. Transient analysis of transmission line (classic and Laplace analysis). Graphical tools for transmission line analysis (zig-zag, Bergeron diagram). Thevenin and Norton equivalent circuits.

Harmonic analysis of transmission lines, wave equation and solution. Lossless line. Characteristic impedance. Reflection coefficient and standing wave ratio. Standing wave. Four terminal model. Scattering parameters. Transformation of reflectance and impedance. Stubs. Power transfer. Smith diagram and line matching. Line transformers. Lossy line.

Part II: Planar wave.
Maxwell equations and planar waves. Wave equations and wave functions. Plane wave. Wave and properties of media (constitutive relations). Types of media, lossless media. Phase velocity and group velocity in electromagnetics. Polarisation. Power transmission. TEM wave. Surface resistance. Polarizations of electromagnetic waves (linear, ellipsoid and circular). Anisotropic medium. Faraday rotation. Reflection and refraction. Interference wave as a result of input wave and refracted wave.

Rectangular and spherical waveguides. Waveguides wave equations. Propagation of TEM, TE and TM waves along waveguides. Boundary conditions. Power transmission. Coax cable. Optical fiber.

Study materials

1. P. C. Magnusson, G. C. Alexander, V. K. Tripathi, A. Weishaar: Transmission lines and Wave propagation, CRC press, 2000.
2. F. T. Ulaby: Fundamentals of Applied Electromagnetics, Prentice Hall, 2014.
3. S. M. Wenthworth: Fundamentals of electromagnetics with engineering applications, John Wiley & Sons, Inc., 2005.