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Virtual experiments

Working group 8.42


In a virtual experiment a measurement process is modeled mathematically and simulated on a computer. The employed mathematical model of the physical experiment is sought to be as realistic as possible. Virtual experiments allow different scenarios to be easily explored. In this way, measurement processes can be designed and specified with the help of the computer. Virtual experiments can be used to estimate the accuracy that is reached by a real measurement device. Dominant sources of uncertainty can be identified and quantitatively explored by carrying out a sensitivity analysis of the virtual experiment. The results obtained can be used to optimize the considered measurement system. Virtual experiments can help in the development of procedures from data analysis for real experiments, for example to assess and compare different estimation procedures under realistic conditions, or to validate assumptions made about the distribution of measured data.

Simulation of a tilted-wave interferometer (left) and a virtual 3D-measurement of an optical surface (right) using SimOptDevice.


The research of PTB’s Working Group 8.42 focuses on virtual experiments for optical measurement devices and the development of procedures from data analysis for evaluating corresponding measurements. To this end, the simulation environment SimOptDevice has been developed as a software library, which is successfully employed in many applications regarding length-/form- and coordinate measurements, as well as photometry. SimOptDevice is regularly maintained and its functionality improved. It is currently applied to the tilted-wave interferometer, which is suitable for the optical form measurement of aspheres and freeforms. Methods of data analysis in conjunction with virtual experiments are developed and applied to solve the involved inverse problem and to calibrate the measurement process. Other research topics include the evaluation of uncertainties associated with real measurements utilizing the results of the corresponding virtual experiment, or the use of methods from deep learning in connection with virtual experiments. For example, virtual experiments can be used to create a database needed to train a neural network that is designed for analyzing experimental data.


Publication single view


Title: Recovering wavefronts from difference measurements in lateral shearing interferometry
Author(s): C. Elster
Journal: Journal of Computational and Applied Mathematics
Year: 1999
Volume: 110
Issue: 1
Pages: 177--180
DOI: 10.1016/S0377-0427(99)00232-0
ISSN: 03770427
Web URL: http://www.sciencedirect.com/science/article/pii/S0377042799002320
Keywords: Difference operator,Generalized inverse,Shearing interferometry
Tags: 8.42,Form
Abstract: Results of lateral shearing interferograms are difference measurements of a wavefront under study, from which this wavefront is to be reconstructed. Properties of the difference operator associated with a shearing experiment are discussed. It is shown that the Moore–Penrose generalized inverse is bounded and it is given in an explicit form for suitably chosen shearing parameters.

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