Infotech Oulu Graduate School

Spectral analysis of waveguides

Lecturer: Professor Sergey Nazarov, Institute of Problems of Mechanical Engineering (IPME), Russian Academy of Sciences, St. Petersburg, Russia

Dates:

Wednesday, September 16, 2009
Friday, September 18
Tuesday, September 22,
Wednesday, September 23
Friday, September 25

Time and place: each day 10 am-12 am in lecture room PR174

Grading: written final exam

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Description

The course provides a broad mathematcal introduction to spectral analysis of waveguides. The aim of the course is to present the main principles how the spectrum of an elliptic operator can be controlled by varying the geometric and material properties of the waveguides.

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Topics

1. Basics on the spectrum of elliptic operators
2. Waveguides
3. Floquet theory
4. The band-gap stucture of the spectrum in periodic waveguides
5. Trapped modes

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Registration in the beginning of the first lecture. The number of credit points will announced after the course.

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More information: Keijo Ruotsalainen