Data-driven modelling of electromagnetic resonators with uncertain shape

• Applicant: Professor Dr. Jürgen Dölz
• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 501419255

Electromagnetic resonators play a crucial role in many applications such as particle accelerators and photonic crystals. While the former are used to treat cancer or contribute to the understanding of the universe, the latter can increase the efficiency of solar modules for more sustainable energy production.Today, computer simulations are an indispensable tool for designing electromagnetic resonators with specifically desired properties. However, manufacturing defects in production always lead to deviations in the behavior of the manufactured resonators compared to their computer models, which can lead to undesirable or incorrect behavior. Although the engineering community has shown great interest in the development of computer simulations of these deviations, this development is hindered by a lack of a thorough mathematical understanding of the problem.The project will investigate the mathematical modelling of electromagnetic resonators with uncertain shape variations caused by manufacturing defects. We will develop fast and accurate algorithms to calibrate and evaluate this model using measurement data. This will allow data-driven simulations of electromagnetic resonators that take into account all manufacturing defects that affect the shape of the resonators.These research results of the project will allow engineers to consider manufacturing defects during the design process. This will enable the development of electromagnetic resonators that are more robust to manufacturing defects, enabling a more cost-effective and reliable production process.

• DFG Programme: Research Grants