• Optics and Precision Engineering
  • Vol. 32, Issue 11, 1653 (2024)
Yaoxuan FAN1,2, Wenxi ZHANG1,2,*, Zhou WU1,2, Shuai YANG1, and Rikang QIN1
Author Affiliations
  • 1Aerospace Information Research Institute, Chinses Academy of Sciences, Beijing00094, China
  • 2School of Optoelectronics, University of Chinese Academy of Sciences, Beijing100049, China
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    DOI: 10.37188/OPE.20243211.1653 Cite this Article
    Yaoxuan FAN, Wenxi ZHANG, Zhou WU, Shuai YANG, Rikang QIN. Analysis and optimization of noise tolerance for interferometer instrument transfer function[J]. Optics and Precision Engineering, 2024, 32(11): 1653 Copy Citation Text show less
    Schematic of illumination train and imaging train of Fizeau interferometer
    Fig. 1. Schematic of illumination train and imaging train of Fizeau interferometer
    Distribution of phase step object through optical system
    Fig. 2. Distribution of phase step object through optical system
    ITF curves of ideal system, system with λ/4 defocus and disturbed by noise
    Fig. 3. ITF curves of ideal system, system with λ/4 defocus and disturbed by noise
    ITF curves with different ITFRMS values
    Fig. 4. ITF curves with different ITFRMS values
    Measurement error-SNR curves
    Fig. 5. Measurement error-SNR curves
    ITFRMS-SNR curves
    Fig. 6. ITFRMS-SNR curves
    ITFRMS-SNR curves using different sampling periods
    Fig. 7. ITFRMS-SNR curves using different sampling periods
    ITFRMS-SNR curves using different phase-shifting steps in ITF test
    Fig. 8. ITFRMS-SNR curves using different phase-shifting steps in ITF test
    ITFRMS-SNR curves of average results of repeated experiments
    Fig. 9. ITFRMS-SNR curves of average results of repeated experiments
    Filter processing result
    Fig. 10. Filter processing result
    ITFRMS -SNR curves after median filter
    Fig. 11. ITFRMS -SNR curves after median filter
    Experiment and results
    Fig. 12. Experiment and results
    Interferogram, phase recovery map, profile recovery map and step trace positon
    Fig. 13. Interferogram, phase recovery map, profile recovery map and step trace positon
    Step height and ITF curves obtained from experiment
    Fig. 14. Step height and ITF curves obtained from experiment
    Experimental optimal results
    Fig. 15. Experimental optimal results
    ElementSpatial domainFrequency domain
    ObjectA0e-jU0(x,y)F(A0e-jU0(x,y))
    SystemPoint spread functionH(fx,fy)=P(λdfx,λdfy)exp(-jkW(λdfx,λdfy))
    ImageA1e-jU1(x,y)F(A1e-jU0(x,y))
    Object phaseU0(x,y)F(U0(x,y))
    SystemPoint spread functionITF=abs(F(U1(x,y))F(U0(x,y)))=PSDU1PSDU0
    Image phaseU1(x,y)F(U1(x,y))
    Table 1. Object-image relationship and transfer function of coherent image system
    Yaoxuan FAN, Wenxi ZHANG, Zhou WU, Shuai YANG, Rikang QIN. Analysis and optimization of noise tolerance for interferometer instrument transfer function[J]. Optics and Precision Engineering, 2024, 32(11): 1653
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