Inhalte/ Contents

The AAA algorithm enables efficient approximation by rational functions and has recently attracted significant attention in numerical mathematics and various application fields. The optical response of photonic systems exhibits poles in the complex frequency plane associated with resonances, making these systems particularly well suited for rational approximation and allowing key physical quantities to be extracted directly. This project investigates whether the AAA algorithm can solve selected photonic problems more efficiently than commonly used methods. Students will study the theoretical foundations, implement the algorithm, test it on examples from the literature, and finally apply it to resonance phenomena in photonic systems to evaluate its performance and limitations.   This project is intended for students with an interest in both mathematics and physics. Participants are expected to bring their own laptop to implement and independently test the AAA algorithm.

Kontakt/ Contact

binkowski@zib.de

Link zum Vorlesungsverzeichnis/ Link to the course catalogue

folgt/ coming