• Laser & Optoelectronics Progress
  • Vol. 56, Issue 6, 062001 (2019)
Weihao Cheng, Yunyun Chen*, Chuansen Duan, Tao Liang, and Yusong Li
Author Affiliations
  • Jiangsu Key Laboratory for Optoelectronic Detection of Atmosphere and Ocean, School of Physics and Optoelectronic Engineering, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, China
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    DOI: 10.3788/LOP56.062001 Cite this Article Set citation alerts
    Weihao Cheng, Yunyun Chen, Chuansen Duan, Tao Liang, Yusong Li. Method of Measuring Grating Constant Based on Moiré Measurement Technology[J]. Laser & Optoelectronics Progress, 2019, 56(6): 062001 Copy Citation Text show less
    Experimental setup
    Fig. 1. Experimental setup
    Moiré fringes under different θ when d'=0.05 mm
    Fig. 2. Moiré fringes under different θ when d'=0.05 mm
    Moiré fringes under different θ when d'=0.02 mm
    Fig. 3. Moiré fringes under different θ when d'=0.02 mm
    Binary Moiré fringes when d'=0.05 mm
    Fig. 4. Binary Moiré fringes when d'=0.05 mm
    Binary Moiré fringes when d'=0.02 mm
    Fig. 5. Binary Moiré fringes when d'=0.02 mm
    Handled Moiré fringe image. (a) Real image; (b) ideal image
    Fig. 6. Handled Moiré fringe image. (a) Real image; (b) ideal image
    Relative error. (a) d'=0.05 mm; (b) d'=0.02 mm
    Fig. 7. Relative error. (a) d'=0.05 mm; (b) d'=0.02 mm
    AngleLevel -1spectrum /mmLevel 0spectrum /mmLevel +1spectrum /mm
    10'18.199218.368618.4866
    20'8.92868.92868.9423
    30'6.14316.13975.9762
    40'4.44974.47224.4772
    50'3.56783.66523.6294
    60'3.00953.03083.0290
    Table 1. Stripe spacing (d'=0.05 mm)
    AngleLevel -1spectrum /mmLevel 0spectrum /mmLevel +1spectrum /mm
    10'7.00606.69506.1732
    20'3.30723.31003.2362
    30'2.25302.26672.2595
    40'1.71461.70501.7058
    50'1.35061.39441.3712
    60'1.14901.12961.1011
    Table 2. Stripe spacing (d'=0.02 mm)
    AngleAverage ofmeasured stripespacing /mmCalculatedgratingconstant /mmRelativeerror /%
    10'18.35150.05000015962634003.20×10-4
    20'8.93320.05000072024101151.44×10-3
    30'6.08630.05000147070483322.94×10-3
    40'4.46640.05000288182472145.76×10-3
    50'3.62080.05000424697244518.49×10-3
    60'3.02310.05000598275461861.20×10-2
    Table 3. Grating constants d and relative errors (d'=0.05 mm)
    AngleAverage ofmeasured stripespacing /mmCalculatedgratingconstant /mmRelativeerror /%
    10'6.62470.02001625724893170.01998393809662748.13×10-2
    20'3.28450.02003636244259360.01996444379922791.80×10-1
    30'2.25970.02003035779182460.01997125267545831.50×10-1
    40'1.70850.02002712088424230.01997565319738521.40×10-1
    50'1.37120.02002423143248790.01998004853593791.20×10-1
    60'1.12660.02006828869007950.01993822726217403.40×10-1
    Table 4. Grating constants d and relative errors (d'=0.02 mm)
    Weihao Cheng, Yunyun Chen, Chuansen Duan, Tao Liang, Yusong Li. Method of Measuring Grating Constant Based on Moiré Measurement Technology[J]. Laser & Optoelectronics Progress, 2019, 56(6): 062001
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