(Created 2011-09-01.)

MICROWAVE THEORY | ETEN01 |

**Aim**

The course gives an understanding of the physics of transmission lines, waveguides, and optical fibres. It also gives the microwave technique used in accelerators. Many of the applications are taken from the accelerators that are to used at MAX IV and ESS. The course gives an introduction to the analytical and numerical methods that are used in microwave technique. The students get skills in measurements with network analyser. They also get experience in treating extensive applied problems and projects.

*Knowledge and understanding*

For a passing grade the student must

- master the most common mathematical and numerical methods for wave propagation along guiding structures
- have basic knowledge of the microwave technique in particel accelerators
- have elementary knowledge in measurements at high frequencies

*Skills and abilities*

For a passing grade the student must

- be able to apply the elementary theory for transmission lines
- be able to use the method of separation of variables for resonance cavities and wave propagation in waveguides and optical fibres
- know how to apply the finite element method to resonance cavities, waveguides and optical fibres
- know how to use the network analyser for measurements at high frequencies
- know how to apply commercial programs for the finite element method to wave propagation problems

*Judgement and approach*

For a passing grade the student must

- be able to evaluate different types of systems for communication with guiding structures
- determine which analytical, numerical, and experimental methods that are suitable for analysing a system

**Contents**

Transmission lines, Smith chart, network analyser, S-matrix, rectangular and circular wave guides, TE- and TM-modes, resonance cavities, coupling between accelerated particles and electromagnetic fields in cavities, optical fibres, optical components in optronics, periodic structures and the finite element method.

**Literature**

Karlsson A, Kristensson G: Microwave theory, 2009