Work

The uncertainty of the phase-correction in sphere-diameter measurements

Year: 2012

Type: article

Abstract: The calculation of the phase correction and the associated uncertainty in the measurement of sphere diameters carried out by optical interferometers is of particular interest. With this view, a Gaussian-beam tracing method was utilized for application to the sphere-interferometer at the National Metrology Institute of Japan as it was used to measure the volume of the 28 Si spheres in the determination of the Avogadro constant. Monte Carlo simulations taking account also of possible interferometer misalignments reveal a correction and its uncertainty of 0.609(139) nm.

Source: Metrologia

DOI: 10.1088/0026-1394/49/4/479

Authors: B Andreas, K Fujii, N Kuramoto, G Mana

Institutions: Physikalisch-Technische Bundesanstalt, National Metrology Institute of Japan, National Institute of Advanced Industrial Science and Technology, Istituto Nazionale di Ricerca Metrologica

Language: English

Topic: Scientific Measurement and Uncertainty Evaluation

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Award: Development of a two-dimensional dark fringe method to measure sphere diameters and an accurate determination of the Avogadro constant by using a 28Si crystal