Acta Optica Sinica, Volume. 38, Issue 2, 0205002(2018)

Micro-Angle Measurement Based on Two-Dimensional Moire Fringes Generated by Square Aperture Micro-Lens Array

Sanchao Zheng, Sumei Zhou*, Gaokun Huang, and Xiaoming Yang
Author Affiliations
  • School of Physical Science and Technology, Southwest University, Chongqing 400715, China
  • show less
    Figures & Tables(11)
    Schematics of two dimensional grid structures of (a) micro-graphic array and (b) square aperture micro-lens array
    Schematics of moire fringes generated by combination of square aperture micro-lens array and micro-graphic array. (a) First kind of fringe; (b) second kind of fringe
    Relationship between moire fringe pitch and included angle. (a) a=0.2, b=0.1; (b) a=0.3, b=0.2; (c) a=0.2, b=0.2; (d) a=0.3, b=0.3; (e) a=0.2, b=0.3; (f) a=0.3, b=0.4
    Relationship between pitch variation and variation of included angle under different initial included angles. (a) (c) Variation of B1; (b) (d) variation of B2
    Experimental devices of small angle measurement system
    Moire fringes under different included angles
    Relationship between included angle and pitch from theoretical calculation
    Relationship between included angle and pitch from experimental measurement
    Theoretical and experimental pitch value of moire fringes when included angle is in range of (a) 0-0.1 rad and (b) 1.47-1.57 rad, respectively
    • Table 1. Fringe pitch when included angle is in range of 0-0.785 rad

      View table

      Table 1. Fringe pitch when included angle is in range of 0-0.785 rad

      θ /rad0.0100.0190.0240.0750.150.290.350.400.580.78
      B1 /μm1200.71198.31193.61159.21065.2856.3759.5709.2540.9422.8
      1190.91187.61188.71160.51058.1834.5752.9712.8536.2435.2
      1200.21185.91191.61158.61057.3836.3757.0699.8564.2419.2
      1200.51200.41192.91159.41054.9846.5754.8702.8532.4418.6
      1198.91196.71189.81162.11060.7837.9758.6689.7534.9410.8
      Average value /μm1198.21193.81191.31160.01059.2842.2756.5702.9541.7421.3
    • Table 2. Fringe pitch when included angle is in range of 0.785-1.57 rad

      View table

      Table 2. Fringe pitch when included angle is in range of 0.785-1.57 rad

      θ /rad0.780.981.161.211.271.411.491.5391.5411.55
      B2 /μm426.8541.8710.2757.6857.21059.71162.31184.61197.61200.8
      430.2539.4711.8754.4848.51062.41161.81188.91189.41196.9
      419.1544.3708.8756.1842.11057.31164.31190.31191.21200.4
      416.4537.1699.8749.8845.51059.61159.61192.91198.61200.2
      413.8542.9697.9753.6839.81060.31163.41193.81194.71199.9
      Average value /μm421.3541.1705.7754.3846.61059.91162.31190.11194.31199.6
    Tools

    Get Citation

    Copy Citation Text

    Sanchao Zheng, Sumei Zhou, Gaokun Huang, Xiaoming Yang. Micro-Angle Measurement Based on Two-Dimensional Moire Fringes Generated by Square Aperture Micro-Lens Array[J]. Acta Optica Sinica, 2018, 38(2): 0205002

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Diffraction and Gratings

    Received: Jul. 31, 2017

    Accepted: --

    Published Online: Aug. 30, 2018

    The Author Email: Zhou Sumei (sumeizhou@163.com)

    DOI:10.3788/AOS201838.0205002

    Topics