Monte-Carlo technique for uncertainty evaluation of gauge block calibration using laser interferometry

V. Álvarez-Valado; H. González Jorge; B V. Dorrío; F. J. Yebra; J. L. Valencia; J. Rodríguez

doi:10.1117/12.817972

18 November 2008 Monte-Carlo technique for uncertainty evaluation of gauge block calibration using laser interferometry

V. Álvarez-Valado, H. González Jorge, B V. Dorrío, F. J. Yebra, J. L. Valencia, J. Rodríguez

Proceedings Volume 7138, Photonics, Devices, and Systems IV; 713808 (2008) https://doi.org/10.1117/12.817972
Event: Photonics, Devices, and Systems IV, 2008, Prague, Czech Republic

Abstract

Gauge block calibration for dimensional metrology standards are made by means of laser interferometry procedures and uncertainty is typically calculated using the recommendations of the Guide to the Expression of Uncertainty in Measurement (GUM). This method does not appear very useful for complicated and non-linear model equations as occurs in gauge block interferometry. Under this context, a Monte Carlo method is applied to evaluate the uncertainty of the model function. Input distributions are generated taking into account the value of the physical magnitudes, type of probability distribution and standard uncertainty value. These values are particularized for the room conditions and instruments used in the Metrology Laboratory of Galicia (LOMG), Spain. Obtained results show that the output data fit correctly to a normal distribution (Central Limit Theorems hypothesis can be assumed) and show the potentiality of applying Monte Carlo methods to the uncertainty evaluation in gauge block interferometry.

Citation Download Citation

V. Álvarez-Valado, H. González Jorge, B V. Dorrío, F. J. Yebra, J. L. Valencia, and J. Rodríguez "Monte-Carlo technique for uncertainty evaluation of gauge block calibration using laser interferometry", Proc. SPIE 7138, Photonics, Devices, and Systems IV, 713808 (18 November 2008); https://doi.org/10.1117/12.817972

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