Acta Optica Sinica, Volume. 41, Issue 14, 1412001(2021)

Uncertainty Analysis and System Deviation Correction of Convex Lens Focal Length Measurement

Shuwu Sheng1, Linhai Li2, Zhihui Xin1, and Licun Sun1、*
Author Affiliations
  • 1Yunnan Key Laboratory of Opto-Electronic Information Technology, School of Physics and Electronic Information Technology, Yunnan Normal University, Kunming, Yunnan 650500, China
  • 2School of Cultural Tourism and International Exchange, Yunnan Open University, Kunming, Yunnan 650500, China
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    In this paper, the uncertainty of convex lens focal length measured based on the Gauss formula method (real object-real image method) is analyzed comprehensively considering the factors of the depth of field, thickness, and spherical aberration of the lens, and a method to correct the systemic measurement deviation caused by lens thickness and spherical aberration is proposed. For the selected convex lenses with a nominal focal length of 25.0 mm, the measurement uncertainty decreases first and increases afterward with the increase of the object distance, and the minimum value before correction is 1.26 mm, where the spherical aberration of the lens has the most prominent influence on the measurement uncertainty. After the system measurement deviation being corrected, the change trend of the measurement uncertainty remains unchanged and the minimum value is reduced to 0.10 mm, which indicates that the deviation correction improves the accuracy of the measurement results greatly. The results of uncertainty analysis show that the measurement results are more reliable when the object point is placed near the twice focal length of the lens, providing a guide for experimental operation.

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    Shuwu Sheng, Linhai Li, Zhihui Xin, Licun Sun. Uncertainty Analysis and System Deviation Correction of Convex Lens Focal Length Measurement[J]. Acta Optica Sinica, 2021, 41(14): 1412001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Dec. 21, 2020

    Accepted: Feb. 5, 2021

    Published Online: Jul. 11, 2021

    The Author Email: Sun Licun (aliceckczy@126.com)

    DOI:10.3788/AOS202141.1412001

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