• Acta Optica Sinica
  • Vol. 41, Issue 6, 0612001 (2021)
Jinhua Feng*, Yan Tang, Zhongye Xie, Jing Du, and Jianwen Gong
Author Affiliations
  • State Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
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    DOI: 10.3788/AOS202141.0612001 Cite this Article Set citation alerts
    Jinhua Feng, Yan Tang, Zhongye Xie, Jing Du, Jianwen Gong. Coaxial Focusing Method Based on Differential Modulation Evaluation[J]. Acta Optica Sinica, 2021, 41(6): 0612001 Copy Citation Text show less
    Coaxial focusing measurement system
    Fig. 1. Coaxial focusing measurement system
    Analytical results of modulation based on two dimensional Fourier transform. (a) Analog diagram of acquired image; (b) spectrum distribution; (c) modulation distribution
    Fig. 2. Analytical results of modulation based on two dimensional Fourier transform. (a) Analog diagram of acquired image; (b) spectrum distribution; (c) modulation distribution
    Corresponding relationship between the value of modulation and the height. (a) Longitudinal response curves of modulation; (b) linear mapping relationship between differential modulation and height
    Fig. 3. Corresponding relationship between the value of modulation and the height. (a) Longitudinal response curves of modulation; (b) linear mapping relationship between differential modulation and height
    Simulation results. (a) Images captured by CCD1; (b) images captured by CCD2; (c) linear distribution region of longitudinal response of differential modulation; (d) error distribution of defocusing
    Fig. 4. Simulation results. (a) Images captured by CCD1; (b) images captured by CCD2; (c) linear distribution region of longitudinal response of differential modulation; (d) error distribution of defocusing
    Distribution of focusing error with noise
    Fig. 5. Distribution of focusing error with noise
    Simulation curves of modulation under different differential quantities. (a) Response curves of modulation; (b) linear mapping relationship of differential modulation
    Fig. 6. Simulation curves of modulation under different differential quantities. (a) Response curves of modulation; (b) linear mapping relationship of differential modulation
    Experimental system
    Fig. 7. Experimental system
    Experimental curves of modulation under different differential quantities. (a) Response curves of modulation; (b) linear mapping relationship of differential modulation
    Fig. 8. Experimental curves of modulation under different differential quantities. (a) Response curves of modulation; (b) linear mapping relationship of differential modulation
    Numerical apertureMagnificationDetection range /μmDetection error /nm
    0.20525.42±147.6
    0.30108.57±49.8
    0.45202.90±16.7
    0.80500.67±3.9
    0.901000.32±1.7
    Table 1. Focusing range and accuracy of microscope objectives with different numerical apertures and magnifications
    PZT positionAveragePV
    5.00110.00430.0088
    5.00850.01340.0054
    5.01800.02030.0067
    5.02380.02770.0082
    5.03430.03450.0057
    5.04140.04470.0087
    5.04890.05320.0072
    5.05830.05980.0065
    5.06240.06860.0053
    5.07150.07590.0075
    Table 2. Measurement of focusing accuracyunit: μm
    Jinhua Feng, Yan Tang, Zhongye Xie, Jing Du, Jianwen Gong. Coaxial Focusing Method Based on Differential Modulation Evaluation[J]. Acta Optica Sinica, 2021, 41(6): 0612001
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