Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors

Due to the common path structure being insensitive to the environmental disturbances, relevant Fabry–Pérot interferometers have been presented for displacement measurement. However, the discontinuous signal distribution exists in the conventional Fabry–Pérot interferometer. Although a polarized Fabr...

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Main Authors: Yi-Chieh Shih, Pi-Cheng Tung, Wen-Yuh Jywe, Chung-Ping Chang, Lih-Horng Shyu, Tung-Hsien Hsieh
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/18/6191
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spelling doaj-2f1ce525129d4676afd3f5504d25b0822020-11-25T03:06:47ZengMDPI AGApplied Sciences2076-34172020-09-01106191619110.3390/app10186191Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement MirrorsYi-Chieh Shih0Pi-Cheng Tung1Wen-Yuh Jywe2Chung-Ping Chang3Lih-Horng Shyu4Tung-Hsien Hsieh5Department of Mechanical Engineering, National Central University, Taoyuan 320, TaiwanDepartment of Mechanical Engineering, National Central University, Taoyuan 320, TaiwanSmart Machinery and Intelligent Manufacturing Research Center, National Formosa University, Yunlin 632, TaiwanDepartment of Mechanical and Energy Engineering, National Chiayi University, Chiayi 600, TaiwanDepartment of Electro-Optical Engineering, National Formosa University, Yunlin 632, TaiwanSmart Machinery and Intelligent Manufacturing Research Center, National Formosa University, Yunlin 632, TaiwanDue to the common path structure being insensitive to the environmental disturbances, relevant Fabry–Pérot interferometers have been presented for displacement measurement. However, the discontinuous signal distribution exists in the conventional Fabry–Pérot interferometer. Although a polarized Fabry–Pérot interferometer with low finesse was subsequently proposed, the signal processing is complicated, and the nonlinearity error of sub-micrometer order occurs in this signal. Therefore, a differential quadrature Fabry–Pérot interferometer has been proposed for the first time. In this measurement system, the nonlinearity error can be improved effectively, and the DC offset during the measurement procedure can be eliminated. Furthermore, the proposed system also features rapid and convenient replacing the measurement mirrors to meet the inspection requirement in various measuring ranges. In the comparison result between the commercial and self-developed Fabry–Pérot interferometer, it reveals that the maximum standard deviation is less than 0.120 μm in the whole measuring range of 600 mm. According to these results, the developed differential Fabry–Pérot interferometer is feasible for precise displacement measurement.https://www.mdpi.com/2076-3417/10/18/6191differential Fabry–Pérot interferometerhomodyne interferometernonlinearity errorlinear displacement
collection DOAJ
language English
format Article
sources DOAJ
author Yi-Chieh Shih
Pi-Cheng Tung
Wen-Yuh Jywe
Chung-Ping Chang
Lih-Horng Shyu
Tung-Hsien Hsieh
spellingShingle Yi-Chieh Shih
Pi-Cheng Tung
Wen-Yuh Jywe
Chung-Ping Chang
Lih-Horng Shyu
Tung-Hsien Hsieh
Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
Applied Sciences
differential Fabry–Pérot interferometer
homodyne interferometer
nonlinearity error
linear displacement
author_facet Yi-Chieh Shih
Pi-Cheng Tung
Wen-Yuh Jywe
Chung-Ping Chang
Lih-Horng Shyu
Tung-Hsien Hsieh
author_sort Yi-Chieh Shih
title Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
title_short Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
title_full Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
title_fullStr Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
title_full_unstemmed Investigation on the Differential Quadrature Fabry–Pérot Interferometer with Variable Measurement Mirrors
title_sort investigation on the differential quadrature fabry–pérot interferometer with variable measurement mirrors
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-09-01
description Due to the common path structure being insensitive to the environmental disturbances, relevant Fabry–Pérot interferometers have been presented for displacement measurement. However, the discontinuous signal distribution exists in the conventional Fabry–Pérot interferometer. Although a polarized Fabry–Pérot interferometer with low finesse was subsequently proposed, the signal processing is complicated, and the nonlinearity error of sub-micrometer order occurs in this signal. Therefore, a differential quadrature Fabry–Pérot interferometer has been proposed for the first time. In this measurement system, the nonlinearity error can be improved effectively, and the DC offset during the measurement procedure can be eliminated. Furthermore, the proposed system also features rapid and convenient replacing the measurement mirrors to meet the inspection requirement in various measuring ranges. In the comparison result between the commercial and self-developed Fabry–Pérot interferometer, it reveals that the maximum standard deviation is less than 0.120 μm in the whole measuring range of 600 mm. According to these results, the developed differential Fabry–Pérot interferometer is feasible for precise displacement measurement.
topic differential Fabry–Pérot interferometer
homodyne interferometer
nonlinearity error
linear displacement
url https://www.mdpi.com/2076-3417/10/18/6191
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