• Laser & Optoelectronics Progress
  • Vol. 55, Issue 11, 111004 (2018)
Boqing Pang1、2、3, Shuai Wang1、3, and Ping Yang1、3、*
Author Affiliations
  • 1 Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 2 University of Chinese Academy of Sciences, Beijing 100049, China
  • 3 Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
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    DOI: 10.3788/LOP55.111004 Cite this Article Set citation alerts
    Boqing Pang, Shuai Wang, Ping Yang. Phase Unwrapping Algorithm Based on Mode Coefficient Solution[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111004 Copy Citation Text show less
    Walsh function. (a) Sector elements generated by segmentation; (b) Walsh functions in two-dimensional polar coordinate
    Fig. 1. Walsh function. (a) Sector elements generated by segmentation; (b) Walsh functions in two-dimensional polar coordinate
    Equivalent phase of wavefront
    Fig. 2. Equivalent phase of wavefront
    Incident wavefront. (a) Wavefront shape; (b) Zernike polynomial coefficients
    Fig. 3. Incident wavefront. (a) Wavefront shape; (b) Zernike polynomial coefficients
    Phase reconstruction. (a) Wrapped phase; (b) equivalent phase
    Fig. 4. Phase reconstruction. (a) Wrapped phase; (b) equivalent phase
    Equivalent phase of the Zernike polynomials
    Fig. 5. Equivalent phase of the Zernike polynomials
    Results of the Zernike polynomial coefficients. (a) Zernike polynomial coefficients; (b) error values of the retrieval Zernike polynomial coefficients
    Fig. 6. Results of the Zernike polynomial coefficients. (a) Zernike polynomial coefficients; (b) error values of the retrieval Zernike polynomial coefficients
    Wavefront reconstruction results. (a) Reconstructed wavefront; (b) wavefront reconstruction error
    Fig. 7. Wavefront reconstruction results. (a) Reconstructed wavefront; (b) wavefront reconstruction error
    Phase reconstruction results based on the equivalent phase matrix. (a) Equivalent phase of the incident wavefront; (b) equivalent phase of the wavefront reconstruction; (c) error of the equivalent phase reconstruction
    Fig. 8. Phase reconstruction results based on the equivalent phase matrix. (a) Equivalent phase of the incident wavefront; (b) equivalent phase of the wavefront reconstruction; (c) error of the equivalent phase reconstruction
    Number ofZernike functionNumber of Walsh function
    1282565121024
    350.0042λ0.0024λ0.0021λ0.0017λ
    650.0158λ0.0033λ0.0022λ0.0019λ
    Table 1. RMS of the residual wavefront
    Phase unwrapping algorithmTime /sRMS /λ
    Least-square0.1560.152
    Proposed algorithm0.00080.0024
    Table 2. Performance comparison of phase unwrapping algorithm
    Boqing Pang, Shuai Wang, Ping Yang. Phase Unwrapping Algorithm Based on Mode Coefficient Solution[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111004
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