An Off-Axis Measuring Method of Structural Parameters for Lenslet Array

Aiming at the problem that the vertex detection method is difficult to deal with the high-efficiency detection of the large-scale spherical lenslet array, a contact off-axis measuring method is proposed and the measurement accuracy and detection efficiency are verified by experiments. Firstly, by an...

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Main Authors: Jianjun Zhang, Jianying Li, Xinmin Guo, Jianlong Zhang, Yong Zhang, Zhen Yang
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/11/11/1716
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author Jianjun Zhang
Jianying Li
Xinmin Guo
Jianlong Zhang
Yong Zhang
Zhen Yang
author_facet Jianjun Zhang
Jianying Li
Xinmin Guo
Jianlong Zhang
Yong Zhang
Zhen Yang
author_sort Jianjun Zhang
collection DOAJ
description Aiming at the problem that the vertex detection method is difficult to deal with the high-efficiency detection of the large-scale spherical lenslet array, a contact off-axis measuring method is proposed and the measurement accuracy and detection efficiency are verified by experiments. Firstly, by analyzing the 3D model of the relationship between a spherical lens and probe of profilometer, the mathematical model of probe trajectory arc is established based on the off-axis trajectory characteristics of the spherical lenslet array. Then, the error mechanism under the off-axis condition is analyzed, and a mathematical algorithm is proposed to restore the structural parameters at the main optical axis of the lens by using the process design value of the unit lens aperture. Finally, a comparative experiment is carried out between the off-axis detection method and vertex detection method. The experimental results demonstrate that: Compared with the coaxial detection method, the relative errors of the measured lens curvature radius <i>R</i><sub>0</sub> and the lens vector height <i>f</i><sub>0</sub> under the off-axis detection method are 1.71% and 1.95%, respectively. Under the sampling measurement scale, the detection efficiency of the off-axis detection method is 41 times higher than that of vertex detection method.
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spelling doaj.art-38d1aa10436f494a837121f09080eca52023-11-23T13:54:45ZengMDPI AGElectronics2079-92922022-05-011111171610.3390/electronics11111716An Off-Axis Measuring Method of Structural Parameters for Lenslet ArrayJianjun Zhang0Jianying Li1Xinmin Guo2Jianlong Zhang3Yong Zhang4Zhen Yang5School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaAiming at the problem that the vertex detection method is difficult to deal with the high-efficiency detection of the large-scale spherical lenslet array, a contact off-axis measuring method is proposed and the measurement accuracy and detection efficiency are verified by experiments. Firstly, by analyzing the 3D model of the relationship between a spherical lens and probe of profilometer, the mathematical model of probe trajectory arc is established based on the off-axis trajectory characteristics of the spherical lenslet array. Then, the error mechanism under the off-axis condition is analyzed, and a mathematical algorithm is proposed to restore the structural parameters at the main optical axis of the lens by using the process design value of the unit lens aperture. Finally, a comparative experiment is carried out between the off-axis detection method and vertex detection method. The experimental results demonstrate that: Compared with the coaxial detection method, the relative errors of the measured lens curvature radius <i>R</i><sub>0</sub> and the lens vector height <i>f</i><sub>0</sub> under the off-axis detection method are 1.71% and 1.95%, respectively. Under the sampling measurement scale, the detection efficiency of the off-axis detection method is 41 times higher than that of vertex detection method.https://www.mdpi.com/2079-9292/11/11/1716compoundeye lenslet arraycontact measurementoff-axis trajectoryerror analysisefficiency
spellingShingle Jianjun Zhang
Jianying Li
Xinmin Guo
Jianlong Zhang
Yong Zhang
Zhen Yang
An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
Electronics
compound
eye lenslet array
contact measurement
off-axis trajectory
error analysis
efficiency
title An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
title_full An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
title_fullStr An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
title_full_unstemmed An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
title_short An Off-Axis Measuring Method of Structural Parameters for Lenslet Array
title_sort off axis measuring method of structural parameters for lenslet array
topic compound
eye lenslet array
contact measurement
off-axis trajectory
error analysis
efficiency
url https://www.mdpi.com/2079-9292/11/11/1716
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