Uncertainty in mechanical deformation of a Fabry-Perot cavity due to pressure: towards best mechanical configuration
In this paper, a study of the deformation of a refractometer use to achieve a quantum realization of the Pascal is made. First, the propagation of the uncertainty in the measure of pressure due to mechanical deformation was made. Then deformation simulations were made with a cavity designed by the CNAM and whose results are reported in the 18SIB04 Quantumpascal EMPIR project. This step aims to corroborate the methodology used in the simulations. The pressure-normalized relative deformation of this design obtained in 18SIB04 is (-6.390 ± 0.015) × 10-12 Pa-1, the result obtained with our method is (-6.384 ± 0.032) × 10-12 Pa-1, which differs 0.001 times from the value obtained in 18SIB04. Finally, a cylindrical cavity design is presented and simulated obtaining a pressure-normalized relative deformation of (-5.758584 ± 0.00000047) × 10-12 Pa-1, which deforms 0.1 times less.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).