• Chinese Optics Letters
  • Vol. 17, Issue 12, 121101 (2019)
Yongfeng Zhang1、2、3 and Hao Xian1、2、*
Author Affiliations
  • 1Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China
  • 2Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/COL201917.121101 Cite this Article Set citation alerts
    Yongfeng Zhang, Hao Xian. Piston sensing via a dispersed fringe sensor with a merit-function-based active scanning algorithm at low light levels[J]. Chinese Optics Letters, 2019, 17(12): 121101 Copy Citation Text show less
    Geometry of DFS.
    Fig. 1. Geometry of DFS.
    Relation between R and the piston error for cases with and without dispersion.
    Fig. 2. Relation between R and the piston error for cases with and without dispersion.
    Flow chart of the algorithm introduced in this Letter.
    Fig. 3. Flow chart of the algorithm introduced in this Letter.
    Jn as a function of piston error, for (a) a uniform spectrum, (b) the random spectrum, (c) for the random spectrum shown in (b).
    Fig. 4. Jn as a function of piston error, for (a) a uniform spectrum, (b) the random spectrum, (c) for the random spectrum shown in (b).
    Signal for a piston error of 42 μm. When the displacement of the actuator is −42 μm, the normalized merit function reaches its maximum.
    Fig. 5. Signal for a piston error of 42 μm. When the displacement of the actuator is −42 μm, the normalized merit function reaches its maximum.
    Two realizations of noisy DFP for different SNRs: (a) SNR is 1, (b) SNR is 5.
    Fig. 6. Two realizations of noisy DFP for different SNRs: (a) SNR is 1, (b) SNR is 5.
    Relative merit function versus piston error for an instant realization of DFP for an SNR of 1.
    Fig. 7. Relative merit function versus piston error for an instant realization of DFP for an SNR of 1.
    Piston corresponding to the maximum of merit function versus different SNRs: (a) for uniform spectral profile, (b) for random spectral profile as in Fig. 4(b).
    Fig. 8. Piston corresponding to the maximum of merit function versus different SNRs: (a) for uniform spectral profile, (b) for random spectral profile as in Fig. 4(b).
    X (mm)Y (mm)G (mm)f (mm)C(nm/mm)λ0 (nm)Δλ (nm)
    273100100/1.236750100
    Table 1. Parameters Used for Analysis of J as a Function of Piston Error
    Yongfeng Zhang, Hao Xian. Piston sensing via a dispersed fringe sensor with a merit-function-based active scanning algorithm at low light levels[J]. Chinese Optics Letters, 2019, 17(12): 121101
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