University of West Bohemia in Pilsen, New Technologies Research Center

Task: We are working on a project with Germany, which is focused on polymer composites. One part of it is focused on laser welding process. We are developing infrared camera measurement systems and software for laser welding process monitoring and control. This system and software should be then used in production lines for quality control. The student should be part of the team and do IR camera measurements and mainly analyses of the measured results in relation to the laser process parametres and studied materials.

Requirements: Capability of careful precise measurements with a delicate optical instrument and detail analysis of measurements in specific software.

Recommended for: Students of engineering or physics, possibly with focus on lasers technology, optics, cameras or process monitoring

Task: Creation of maximum-likelihood based model for EEG evoked response potentials analysis

Requirements: basic knowledge in statistics, capability of using Matlab

The project aims to create a new method to analyze EEG visual evoked response potentials. The student will join the ongoing research. The main features of the method have been proposed. It is necessary to finalize the mathematical model and implement it in the Matlab environment. The method will be tested on real and simulated EEG data.

Task: Study of resonances, spectral properties or damped wave equations on quantum graphs

Requirements: Knowledge of functional analysis (spectral theory)

The project aims to continue the research in the field of mathematical physics, in particular quantum graphs and their generalizations, e.g. Hedgehog manifolds. In particular, resonance asymptotics of such systems will be studied. The student will first familiarize with the current state of art in the topic then some partial task will be solved.