Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor

A high-resolution grating interferometric micro-displacement sensor utilizing the subdivision interpolation technique is proposed and experimentally demonstrated. As the interference laser intensity varies sinusoidally with displacement, subdivision interpolation is a promising technique to achieve...

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Main Authors: Jiuhui Tang, Haifeng Peng, Peng Yang, Shangzhou Guo, Wenqiang Sun, Li Jin, Kunyang Xie, Mengwei Li
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/12/1/64
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author Jiuhui Tang
Haifeng Peng
Peng Yang
Shangzhou Guo
Wenqiang Sun
Li Jin
Kunyang Xie
Mengwei Li
author_facet Jiuhui Tang
Haifeng Peng
Peng Yang
Shangzhou Guo
Wenqiang Sun
Li Jin
Kunyang Xie
Mengwei Li
author_sort Jiuhui Tang
collection DOAJ
description A high-resolution grating interferometric micro-displacement sensor utilizing the subdivision interpolation technique is proposed and experimentally demonstrated. As the interference laser intensity varies sinusoidally with displacement, subdivision interpolation is a promising technique to achieve micro-displacement detection with a high resolution and linearity. However, interpolation errors occur due to the phase imbalance, offset error, and amplitude mismatch between the orthogonal signals. To address these issues, a subdivision interpolation circuit, along with 90-degree phase-shifter and high-precision DC bias-voltage techniques, converts an analog sinusoidal signal into standard incremental digital signals. This novel methodology ensures that its performance is least affected by the nonidealities induced by fabrication and assembly errors. Detailed design, analysis, and experimentation studies have been conducted to validate the proposed methodology. The experimental results demonstrate that the micro-displacement sensor based on grating interferometry achieved a displacement resolution of less than 1.9 nm, an accuracy of 99.8%, and a subdivision interpolation factor of 208. This research provides a significant guide for achieving high-precision grating interferometric displacement measurements.
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issn 2304-6732
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publishDate 2025-01-01
publisher MDPI AG
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series Photonics
spelling doaj-art-3c439743a1354abe9b9eeca9a73cc35d2025-01-24T13:46:23ZengMDPI AGPhotonics2304-67322025-01-011216410.3390/photonics12010064Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement SensorJiuhui Tang0Haifeng Peng1Peng Yang2Shangzhou Guo3Wenqiang Sun4Li Jin5Kunyang Xie6Mengwei Li7Academy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaAcademy for Advanced Interdisciplinary Research, North University of China, Taiyuan 030051, ChinaA high-resolution grating interferometric micro-displacement sensor utilizing the subdivision interpolation technique is proposed and experimentally demonstrated. As the interference laser intensity varies sinusoidally with displacement, subdivision interpolation is a promising technique to achieve micro-displacement detection with a high resolution and linearity. However, interpolation errors occur due to the phase imbalance, offset error, and amplitude mismatch between the orthogonal signals. To address these issues, a subdivision interpolation circuit, along with 90-degree phase-shifter and high-precision DC bias-voltage techniques, converts an analog sinusoidal signal into standard incremental digital signals. This novel methodology ensures that its performance is least affected by the nonidealities induced by fabrication and assembly errors. Detailed design, analysis, and experimentation studies have been conducted to validate the proposed methodology. The experimental results demonstrate that the micro-displacement sensor based on grating interferometry achieved a displacement resolution of less than 1.9 nm, an accuracy of 99.8%, and a subdivision interpolation factor of 208. This research provides a significant guide for achieving high-precision grating interferometric displacement measurements.https://www.mdpi.com/2304-6732/12/1/64grating interferometricsubdivision interpolation techniquemicro-displacement sensor
spellingShingle Jiuhui Tang
Haifeng Peng
Peng Yang
Shangzhou Guo
Wenqiang Sun
Li Jin
Kunyang Xie
Mengwei Li
Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
Photonics
grating interferometric
subdivision interpolation technique
micro-displacement sensor
title Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
title_full Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
title_fullStr Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
title_full_unstemmed Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
title_short Design, Analysis, and Implementation of the Subdivision Interpolation Technique for the Grating Interferometric Micro-Displacement Sensor
title_sort design analysis and implementation of the subdivision interpolation technique for the grating interferometric micro displacement sensor
topic grating interferometric
subdivision interpolation technique
micro-displacement sensor
url https://www.mdpi.com/2304-6732/12/1/64
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