Application of Electromagnetic Waves in Engineering

Learning Outcomes

  1. Explain the background physics of EM propagation in free space, unbounded lossless and lossy dielectric, and in guiding structures
  2. Explain physical meaning of Maxwell equations in differential and integral form, vector wave equation and its solutions for traveling wave, standing wave, and evanescent wave
  3. Explain physical background of EM wave radiation of elemental electric dipole and a simple two-element antenna array
  4. Compute parameters (characteristic impedance and propagation constant) of TEM transmission line, rectangular waveguide, and dielectric waveguide
  5. Compute all the parameters needed for one-stub matching of general load
  6. Compute field distribution in the case of normal and oblique incidence of the EM wave to general half-space
  7. Identify devices for radiation and guiding of EM energy in communication and electronic engineering systems and explain background physics

Forms of Teaching



Independent assignments


Week by Week Schedule

  1. Difference between lumped elements and distributed-parameter networks; Lumped element model for a transmission line.
  2. Telegrapher equations; Wave equations; General solution and physical interpretation; Voltage and current waves on the transmission line; Reflection coefficient; Standing wave ratio.
  3. Input impedance of the lossless and lossy transmission line; Impedance along the transmission line; Characteristic impedance and propagation coefficient.
  4. Phase and group velocity; Power flow on the transmission line; Lossless line; Low-loss line.
  5. Smith chart; Single-stub tuning; Matching for maximum power transfer.
  6. Time domain response of the transmission line; Pulse propagation; Dispersion and causality; Transmission line with periodic loading; Artificial transmission lines.
  7. Physical interpretation of curl and divergence; The concept of electromagnetic field; Continuity equation; Displacement current; Maxwell equations and their physical interpretation.
  8. Midterm exam; Permittivity an permeability; Physical interpretation; The concepts of isotropic and anisotropic materials; Boundary conditions at the interface ; The concepts of perfect electric conductor (PEC) and perfect magnetic conductor (PMC).
  9. Vector wave equation; Construction and interpretation of the solution; Plane waves in lossless and lossy unbounded media; The concepts of impedance and intrinsic impedance.
  10. Normal and oblique incidence of plane waves on lossless and lossy half space; TEM, TE and TM waves.
  11. Normal incidence of plane wave on lossless and lossy half space; Penetration depth.
  12. Oblique incidence of plane wave on lossless half space, TE and TM polarizations.
  13. Parallel plate waveguide; Rectangular waveguide.
  14. Circular waveguide; Dielectric waveguide.
  15. Final exam; Elementary radiation sources.

Study Programmes

University undergraduate
Computing (study)
Elective Courses (5. semester)
Electrical Engineering and Information Technology (study)
Elective Courses (5. semester)


(.), Z. Smrkić (1986). Mikrovalna elektronika, Školska Knjiga,
(.), C.Balanis (1989). Advanced,
(.), Engineering Electromagnetics,,
(.), John Willey,
(.), Staelin, Morgenthaler,,
(.), Kong (1994). Electromagnetic,
(.), Waves, Prentice Hall,
(.), F . Ulaby Fundamentals of,
(.), Applied Electromagentics,


ID 183453
  Winter semester
L3 English Level
L2 e-Learning
45 Lectures
15 Exercises
12 Laboratory exercises
0 Project laboratory

Grading System

Very Good