Course detail

Microwaves and RF Design

FEKT-GCVTAcad. year: 2019/2020

Students become familiar with principles and application of fundamental numerical methods (finite differences, finite elements, method of moments) for the analysis of microwave structures operating at frequencies from hundreds of MHz up to tens of GHz. Further, conventional and non-conventional optimization methods (gradient and Newton algorithms, genetic algorithms) and their application to the design of microwave circuits and antennas are described. In frame of an individual project, students will design, manufacture and measure a given planar structure.

Learning outcomes of the course unit

The graduate is able (1) apply basic numerical methods to the analysis of microwave circuits and antennas, (2) use standard and non-standard optimization methods for the design of microwave structures, (3) manufactured and experimentally verified parameters of the designed structure.


Fundamentals of electromagnetics (Maxwell equations) and fundamentals of numerical methods (numerical integration, numerical derivation, solution of matrix equations) are the pre-requisites.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

SILVESTER, P.P., FERRARI, R.L. Finite Elements for Electrical Engineers. Cambridge: Cambridge University Press, 1996. (EN)
GILL, P.E., MURRAY, W. Numerical methods for constrained optimization. London: Academic Press, 1974. (EN)
DAVIDSON, D.B. Computational electromagnetics for RF and microwave engineering, 2/E, Cambridge: Gambridge University Press, 2010. (EN)

Planned learning activities and teaching methods

Lectures, PC exercises, individual project.

Assesment methods and criteria linked to learning outcomes

Students can obtain 40 points for the activity in computer labs. An individual project is honored by 30 points (maximally), and the final test is honored by additional 30 points (maximally).

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Introduction to computational electromagnetics, MATLAB.
2. Finite-difference method: potential distribution, wave propagation in waveguide.
3. Finite-element method: potential distribution, wave propagation in waveguide.
4. Finite elements: analysis of 2D and 3D structures.
5. Time domain finite differences: transients in waveguides.
6. Time domain finite elements: transients in waveguides.
7. Moment method: analysis of wire antennas.
8. Commercial software: ANSOFT HFSS, ANSOFT Designer.
9. Conventional optimization methods: steepest descent, Newton method, Optimization Toolbox of MATLAB.
10. Global optimization: genetic algorithms, swarm optimization, multi-objective optimization.
11. Design of planar filters.
12. Design of power dividers.
13. Design of other planar components.

Laboratory exercises:
1. MATLAB for computational electromagnetics.
2. Finite differences, modal analysis of resonators.
3. Finite elements: modal analysis of resonators.
4. Finite elements: wave propagation in waveguide.
5. Finite elements: arbitrarily shaped waveguide.
6. Time-domain finite elements.
7. Design of frequency filters.
8. Local optimization.


Lectures are aimed to present principles of basic numerical methods for the analysis of microwave circuits and antennas, and to explain conventional and non-conventional optimization methods for the design of microwave structures to students.

Specification of controlled education, way of implementation and compensation for absences

Evaluation of activities is specified by a regulation, which is issued by the lecturer responsible for the course annually.

Classification of course in study plans

  • Programme TECO-G Master's

    branch G-TEC , 2. year of study, winter semester, 5 credits, compulsory

Type of course unit



26 hours, optionally

Teacher / Lecturer

Laboratory exercise

26 hours, compulsory

Teacher / Lecturer