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Article

A Method for Reducing Sub-Divisional Errors in Open-Type Optical Linear Encoders with Angle Shift Pattern Main Scale

1
Institute of Mechanical Science, Vilnius Gediminas Technical University, LT-03224 Vilnius, Lithuania
2
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
*
Authors to whom correspondence should be addressed.
Mathematics 2024, 12(3), 474; https://doi.org/10.3390/math12030474
Submission received: 19 December 2023 / Revised: 18 January 2024 / Accepted: 30 January 2024 / Published: 1 February 2024
(This article belongs to the Special Issue Nonlinear Vibration Theory and Mechanical Dynamics)

Abstract

In this research, a novel approach is presented to enhance the precision of open-type optical linear encoders, focusing on reducing subdivisional errors (SDEs). Optical linear encoders are crucial in high-precision machinery. The overall error in optical linear encoders encompasses baseline error, SDE, and position noise. This study concentrates on mitigating SDEs, which are recurrent errors within each pitch period and arise from various contributing factors. A novel method is introduced to improve the quality of sinusoidal signals in open-type optical linear encoders by incorporating specially designed angle shift patterns on the main scale. The proposed method effectively suppresses the third order harmonics, resulting in enhanced accuracy without significant increases in production costs. Experimental results indicate a substantial reduction in SDEs compared to traditional methods, emphasizing the potential for cost-effective, high-precision optical linear encoders. This paper also discusses the correlation between harmonic suppression and SDE reduction, emphasizing the significance of this method in achieving higher resolutions in optical linear encoders.
Keywords: optical linear encoder; subdivisional errors; harmonic suppression; maskless lithography optical linear encoder; subdivisional errors; harmonic suppression; maskless lithography

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MDPI and ACS Style

Lu, X.; Yang, F.; Kilikevičius, A. A Method for Reducing Sub-Divisional Errors in Open-Type Optical Linear Encoders with Angle Shift Pattern Main Scale. Mathematics 2024, 12, 474. https://doi.org/10.3390/math12030474

AMA Style

Lu X, Yang F, Kilikevičius A. A Method for Reducing Sub-Divisional Errors in Open-Type Optical Linear Encoders with Angle Shift Pattern Main Scale. Mathematics. 2024; 12(3):474. https://doi.org/10.3390/math12030474

Chicago/Turabian Style

Lu, Xinji, Fan Yang, and Artūras Kilikevičius. 2024. "A Method for Reducing Sub-Divisional Errors in Open-Type Optical Linear Encoders with Angle Shift Pattern Main Scale" Mathematics 12, no. 3: 474. https://doi.org/10.3390/math12030474

APA Style

Lu, X., Yang, F., & Kilikevičius, A. (2024). A Method for Reducing Sub-Divisional Errors in Open-Type Optical Linear Encoders with Angle Shift Pattern Main Scale. Mathematics, 12(3), 474. https://doi.org/10.3390/math12030474

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