Research on Focal Length Measurement Scheme of Self-Collimating Optical Instrument Based on Double Grating

doi:10.3390/s20092718

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	Research on Focal Length Measurement Scheme of Self-Collimating Optical Instrument Based on Double Grating
	W. C. Yang,Z. Q. Wang,C. W. Shen,Y. S. Liu,S. J. Liu,Q. W. Li,W. Du and Z. D. Song
	2020
发表期刊	Sensors
卷号	20 期号:9 页码:11
摘要	In this paper, we propose a scheme for measuring the focal length of a collimating optical instrument. First, a mathematical model for measuring the focal length of a collimator with double gratings is derived based on the moire fringe formula and the principles of geometric optics. Mathematical simulation shows that a slight difference in the focal length of two collimators has an important influence on the imaging law of moire fringes. Our solution has a good resolution ability for focal length differences within 5 parts per thousand, especially in the small angle range below 4 degrees. Thus, the focal length of collimators can be measured by the amplification of the slight difference. Further, owing to the relative reference measurement, the measurement resolution at the symmetrical position of focal length is poor. Then, in the designed experiment, a corresponding moire image at different angles is acquired using collimators with known focal length. The experimental results indicate that the root mean square error (RMSE) of the collimator corresponding to grating angles of 2 degrees -4 degrees is better than 4.7 parts per thousand, indicating an ideal measurement accuracy of the proposed scheme. This work demonstrates that our proposed scheme can achieve an ideal accuracy in the measurement of a symmetrical optical path.
DOI	10.3390/s20092718
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收录类别	SCI ; EI
语种	英语
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文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/64845
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	W. C. Yang,Z. Q. Wang,C. W. Shen,Y. S. Liu,S. J. Liu,Q. W. Li,W. Du and Z. D. Song. Research on Focal Length Measurement Scheme of Self-Collimating Optical Instrument Based on Double Grating[J]. Sensors,2020,20(9):11.
APA	W. C. Yang,Z. Q. Wang,C. W. Shen,Y. S. Liu,S. J. Liu,Q. W. Li,W. Du and Z. D. Song.(2020).Research on Focal Length Measurement Scheme of Self-Collimating Optical Instrument Based on Double Grating.Sensors,20(9),11.
MLA	W. C. Yang,Z. Q. Wang,C. W. Shen,Y. S. Liu,S. J. Liu,Q. W. Li,W. Du and Z. D. Song."Research on Focal Length Measurement Scheme of Self-Collimating Optical Instrument Based on Double Grating".Sensors 20.9(2020):11.

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