Date: Wed. October 13, 2021
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Title: Towards the optimization of optical properties of particulate products
Speaker: Prof. Dr. Michael Stingl
Affiliation: Department of Mathematics, Chair of Applied Mathematics (Continuous Optimization) – FAU Erlangen-Nürnberg (Germany)
Abstract. Challenges in designing optical properties of particulate systems by topology and shape optimization approaches will be discussed: first, optical properties often depend on the full spectrum of visible light and thus time-harmonic Maxwell’s equation has to be solved for many wave-lengths. Second, often results are expected to be angle-independent, which implies that arbitrary particle orientations have to be modelled. And third, in real-world systems, distributed properties (for size, shape, composition…) have to be taken into account. All this leads to optimization problems, in which a single evaluation of the objective function requires thousands of state problems to be solved. In this presentation, we show how these difficulties can be approached in two different ways. Furthermore, it is demonstrated how all this is linked to particle synthesis. Most of the presented ideas have been developed in the context of the DFG funded collaborative research center CRC 1411: Design of Particulate Products, which will also be briefly introduced in the beginning.
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