A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer

An interferometric self-calibration method for the evaluation of the pitch deviation of scale grating has been extended to evaluate the pitch deviation of the long-range type linear scale by utilizing the stitching interferometry technique. Following the previous work, in which the interferometric s...

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Autores principales: Xin Xiong, Yuki Shimizu, Hiraku Matsukuma, Wei Gao
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/e0883dca3201466b8d0ea147d04b71f2
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spelling oai:doaj.org-article:e0883dca3201466b8d0ea147d04b71f22021-11-11T19:19:54ZA Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer10.3390/s212174121424-8220https://doaj.org/article/e0883dca3201466b8d0ea147d04b71f22021-11-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/21/7412https://doaj.org/toc/1424-8220An interferometric self-calibration method for the evaluation of the pitch deviation of scale grating has been extended to evaluate the pitch deviation of the long-range type linear scale by utilizing the stitching interferometry technique. Following the previous work, in which the interferometric self-calibration method was proposed to assess the pitch deviation of the scale grating by combing the first-order diffracted beams from the grating, a stitching calibration method is proposed to enlarge the measurement range. Theoretical analysis is performed to realize the <i>X</i>-directional pitch deviation calibration of the long-range linear scale while reducing the second-order accumulation effect by canceling the influence of the reference flat error in the sub-apertures’ measurements. In this paper, the stitching interferometry theory is briefly reviewed, and theoretical equations of the <i>X</i>-directional pitch deviation stitching are derived for evaluation of the pitch deviation of the long-range linear scale. Followed by the simulation verification, some experiments with a linear scale of 105 mm length from a commercial interferential scanning-type optical encoder are conducted to verify the feasibility of the self-calibration stitching method for the calibration of the <i>X</i>-directional pitch deviation of the linear scale over its whole area.Xin XiongYuki ShimizuHiraku MatsukumaWei GaoMDPI AGarticleoptical encoderlinear scalepitch deviationstitching interferometryself-calibrationChemical technologyTP1-1185ENSensors, Vol 21, Iss 7412, p 7412 (2021)
institution DOAJ
collection DOAJ
language EN
topic optical encoder
linear scale
pitch deviation
stitching interferometry
self-calibration
Chemical technology
TP1-1185
spellingShingle optical encoder
linear scale
pitch deviation
stitching interferometry
self-calibration
Chemical technology
TP1-1185
Xin Xiong
Yuki Shimizu
Hiraku Matsukuma
Wei Gao
A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
description An interferometric self-calibration method for the evaluation of the pitch deviation of scale grating has been extended to evaluate the pitch deviation of the long-range type linear scale by utilizing the stitching interferometry technique. Following the previous work, in which the interferometric self-calibration method was proposed to assess the pitch deviation of the scale grating by combing the first-order diffracted beams from the grating, a stitching calibration method is proposed to enlarge the measurement range. Theoretical analysis is performed to realize the <i>X</i>-directional pitch deviation calibration of the long-range linear scale while reducing the second-order accumulation effect by canceling the influence of the reference flat error in the sub-apertures’ measurements. In this paper, the stitching interferometry theory is briefly reviewed, and theoretical equations of the <i>X</i>-directional pitch deviation stitching are derived for evaluation of the pitch deviation of the long-range linear scale. Followed by the simulation verification, some experiments with a linear scale of 105 mm length from a commercial interferential scanning-type optical encoder are conducted to verify the feasibility of the self-calibration stitching method for the calibration of the <i>X</i>-directional pitch deviation of the linear scale over its whole area.
format article
author Xin Xiong
Yuki Shimizu
Hiraku Matsukuma
Wei Gao
author_facet Xin Xiong
Yuki Shimizu
Hiraku Matsukuma
Wei Gao
author_sort Xin Xiong
title A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
title_short A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
title_full A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
title_fullStr A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
title_full_unstemmed A Self-Calibration Stitching Method for Pitch Deviation Evaluation of a Long-Range Linear Scale by Using a Fizeau Interferometer
title_sort self-calibration stitching method for pitch deviation evaluation of a long-range linear scale by using a fizeau interferometer
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/e0883dca3201466b8d0ea147d04b71f2
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