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Procedure for robust assessment of cavity deformation in Fabry-Pérot based refractometers
Umeå University, Sweden.
Umeå University, Sweden.
RISE Research Institutes of Sweden, Safety and Transport, Measurement Technology. Umeå University, Sweden.
RISE Research Institutes of Sweden, Safety and Transport, Measurement Technology.ORCID iD: 0000-0001-9068-6031
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2020 (English)In: Journal of Vacuum Science and Technology B: Nanotechnology and Microelectronics, ISSN 2166-2746, E-ISSN 2166-2754, Vol. 38, no 5, article id 054202Article in journal (Refereed) Published
Abstract [en]

A novel procedure for a robust assessment of cavity deformation in Fabry-Pérot (FP) refractometers is presented. It is based on scrutinizing the difference between two pressures: one assessed by the uncharacterized refractometer and the other provided by an external pressure reference system, at a series of set pressures for two gases with dissimilar refractivity (here, He and N 2). By fitting linear functions to these responses and extracting their slopes, it is possible to construct two physical entities of importance: one representing the cavity deformation and the other comprising a combination of the systematic errors of a multitude of physical entities, viz., those of the assessed temperature, the assessed or estimated penetration depth of the mirror, the molar polarizabilities, and the set pressure. This provides a robust assessment of cavity deformation with small amounts of uncertainties. A thorough mathematical description of the procedure is presented that serves as a basis for the evaluation of the basic properties and features of the procedure. The analysis indicates that the cavity deformation assessments are independent of systematic errors in both the reference pressure and the assessment of gas temperature and when the gas modulation refractometry methodology is used that they are insensitive to gas leakages and outgassing into the system. It also shows that when a high-precision (sub-ppm) refractometer is characterized according to the procedure, when high purity gases are used, the uncertainty in the deformation contributes to the uncertainty in the assessment of pressure of N 2 with solely a fraction (13%) of the uncertainty of its molar polarizability, presently to a level of a few ppm. This implies, in practice, that cavity deformation is no longer a limiting factor in FP-based refractometer assessments of pressure of N 2. © 2020 Author(s).

Place, publisher, year, edition, pages
AVS Science and Technology Society , 2020. Vol. 38, no 5, article id 054202
Keywords [en]
Gases, Refractometers, Systematic errors, External pressures, Gas temperature, High-precision, Linear functions, Mathematical descriptions, Polarizabilities, Reference systems, Refractometry, Deformation
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:ri:diva-50434DOI: 10.1116/6.0000375Scopus ID: 2-s2.0-85092634524OAI: oai:DiVA.org:ri-50434DiVA, id: diva2:1505290
Available from: 2020-11-30 Created: 2020-11-30 Last updated: 2023-05-25Bibliographically approved

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Zelan, Martin

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