Efficient time domain methods for the analysis of photonic components

• Applicant: Professor Dr.-Ing. Dirk Schulz
• Subject Area: Communication Technology and Networks, High-Frequency Technology and Photonic Systems, Signal Processing and Machine Learning for Information Technology ; Electronic Semiconductors, Components and Circuits, Integrated Systems, Sensor Technology, Theoretical Electrical Engineering
• Term: since 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 282359752

The design and analysis of devices for photonic requires sophisticated time domain methods for the computation of electromagnetic fields taking into account non-linear material properties. Using a Faber-Polynomial-based approximation of the propagator, the time step size can now be set by two to three orders of magnitude larger than in conventional methods even when applying a very fine discretization. Along with the approximation, a high degree of accuracy combined with a significant reduction in computation time can be achieved. In the ongoing research project, methods are to be developed with the goal of further decreasing the computation time by introducing local operators to combine the advantages of a spatially non-uniform discretization with the successful properties of Faber polynomial-based approximations of the propagator. Non-linear material properties should be taken into account. In summary, methods are to be developed with which the increasingly important simulations and analyzes of multiphysical systems under consideration of electromagnetic fields can be efficiently realized with high accuracy.

• DFG Programme: Research Grants