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Experimental Design for Virtual Experiments in Tilted-Wave Interferometry

20.02.2022

The tilted-wave interferometer (TWI) is a recent and promising technique for optically measuring aspheres and freeform surfaces and combines an elaborate experimental setup with sophisticated data analysis algorithms. There are, however, many parameters that influence its performance, and greater knowledge about the behavior of the TWI is needed before it can be established as a measurement standard. Virtual experiments are an appropriate tool for this purpose, and in this paper we present a digital twin of the TWI that was carefully designed for such experiments. The expensive numerical calculations involved combined with the existence of multiple influencing parameters limit the number of virtual experiments that are feasible, which poses a challenge to researchers. Experimental design is a statistical technique that allows virtual experiments to be planned such as to maximize information gain. We applied experimental design to virtual TWI experiments with the goal of identifying the main sources of uncertainty. The results from this work are presented here.


Authors:

Gregor Scholz; 4.2  Imaging and Wave Optics &  8.4 Mathematical Modelling and Data Analysis
Ines Fortmeier; 4.2 Imaging and Wave Optics
Manuel Marschall; 8.4 Mathematical Modelling and Data Analysis
Manuel Stavridis; 8.4 Mathematical Modelling and Data Analysis
Michael Schulz; 4.2 Imaging and Wave Optics
Clemens Elster; 8.4 Mathematical Modelling and Data Analysis


For further information:
Scholz, G.; Fortmeier, I.; Marschall, M.; Stavridis, M.; Schulz, M.; Elster, C. Experimental Design for Virtual Experiments in Tilted-Wave Interferometry. Metrology 2022, 2, 84-97. doi.org/10.3390/metrology2010006