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High-Accuracy Characterisation of Spheres Using PTB’s Sphere Interferometer with an Enhanced Stitching Procedure

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Fringe 2013

Abstract

Against the background of the activities of the National Metrology Institutes for the redefinition of the SI unit "kilogram" the sphere interferometer of PTB has been developed for the measurement of the volume of spherical material measures [1,2]. Provided that the shape deviation is small the mean diameter is sufficient for this purpose as long as only the volume is of interest [2]. Four years ago we have presented a stitching approach which has extended the applicability of the sphere interferometer beyond the determination of diameters [3]. The described method allows the reconstruction of radii based on the measurement results from the sphere interferometer and yields the real shape of the sphere under test. By a comparison with independent results from tactile roundness measurements the accuracy of the approach was estimated to be lower than 5 nm [4].

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References

  1. Andreas, B., et al.: Determination of the Avogadro Constant by Counting the Atoms in a 28Si Crystal. Phys. Rev. Lett. 106, 030801 (2011)

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  2. Bartl, G., et al.: Volume determination of the Avogadro spheres of highly enriched 28Si with a spherical Fizeau interferometer. Metrologia 48, S96–S103 (2011)

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  3. Bartl, G., Nicolaus, A.: Extending the capabilities of the sphere interferometer of PTB by a stitching procedure. In: FRINGE 2009 Proceedings, pp. 354–357 (2009)

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  4. Bartl, G., Krystek, M., Nicolaus, A., Giardini, W.: Interferometric determination of the topographies of absolute sphere radii using the sphere interferometer of PTB. Meas. Sci. Technol. 21, 115101 (2010)

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Correspondence to Guido Bartl .

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Bartl, G., Krystek, M., Nicolaus, R.A. (2014). High-Accuracy Characterisation of Spheres Using PTB’s Sphere Interferometer with an Enhanced Stitching Procedure. In: Osten, W. (eds) Fringe 2013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36359-7_43

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  • DOI: https://doi.org/10.1007/978-3-642-36359-7_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36358-0

  • Online ISBN: 978-3-642-36359-7

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