• Acta Optica Sinica
  • Vol. 44, Issue 7, 0712002 (2024)
Xiangyu Zhang, Ailing Tian, Zhiqiang Liu, Hongjun Wang, Bingcai Liu, and Xueliang Zhu*
Author Affiliations
  • School of Opto-Electronical Engineering, Shaanxi Province Key Laboratory of Thin Films Technology and Optical Test, Xi an Technological University, Xi an 710021, Shaanxi , China
  • show less
    DOI: 10.3788/AOS231891 Cite this Article Set citation alerts
    Xiangyu Zhang, Ailing Tian, Zhiqiang Liu, Hongjun Wang, Bingcai Liu, Xueliang Zhu. Phase Extraction Method for Single Interferogram Based on Light Intensity Iteration[J]. Acta Optica Sinica, 2024, 44(7): 0712002 Copy Citation Text show less
    Algorithm flow chart
    Fig. 1. Algorithm flow chart
    Original surface shape and simulated stripe pattern. (a) Original surface shape; (b) simulated corresponding interferogram
    Fig. 2. Original surface shape and simulated stripe pattern. (a) Original surface shape; (b) simulated corresponding interferogram
    Original phases. (a) Binary image; (b) wrapped phase of line 250; (c) unwrapping phase; (d) unwrapped phase of line 250
    Fig. 3. Original phases. (a) Binary image; (b) wrapped phase of line 250; (c) unwrapping phase; (d) unwrapped phase of line 250
    Reconstructed phase maps. (a) Reconstructed phase of our method; (b) reconstructed phase of Fourier method
    Fig. 4. Reconstructed phase maps. (a) Reconstructed phase of our method; (b) reconstructed phase of Fourier method
    Figures of impact of single noise on residual. (a) PV corresponding to single noise; (b) RMS corresponding to single noise
    Fig. 5. Figures of impact of single noise on residual. (a) PV corresponding to single noise; (b) RMS corresponding to single noise
    Figures of impact of mixed noise on residual. (a) PV corresponding to mixed noise; (b) RMS corresponding to mixed noise
    Fig. 6. Figures of impact of mixed noise on residual. (a) PV corresponding to mixed noise; (b) RMS corresponding to mixed noise
    Fringe patterns with different tilt coefficients. (a) Tilt coefficient is 5; (b) tilt coefficient is 10; (c) tilt coefficient is 15; (d) tilt coefficient is 20; (e) tilt coefficient is 25; (f) tilt coefficient is 30; (g) tilt coefficient is 35; (h) tilt coefficient is 40; (i) tilt coefficient is 45
    Fig. 7. Fringe patterns with different tilt coefficients. (a) Tilt coefficient is 5; (b) tilt coefficient is 10; (c) tilt coefficient is 15; (d) tilt coefficient is 20; (e) tilt coefficient is 25; (f) tilt coefficient is 30; (g) tilt coefficient is 35; (h) tilt coefficient is 40; (i) tilt coefficient is 45
    Residual varying with the second Zernike polynomial coefficient. (a) PV varying with the second Zernike polynomial coefficient; (b) RMS varying with the second Zernike polynomial coefficient
    Fig. 8. Residual varying with the second Zernike polynomial coefficient. (a) PV varying with the second Zernike polynomial coefficient; (b) RMS varying with the second Zernike polynomial coefficient
    Phase and residual plots measured in experiment. (a) Original interferogram; (b) phase obtained by ZYGO-Verifire PE phase-shifting interferometer; (c) phase obtained by our method; (d) phase residual
    Fig. 9. Phase and residual plots measured in experiment. (a) Original interferogram; (b) phase obtained by ZYGO-Verifire PE phase-shifting interferometer; (c) phase obtained by our method; (d) phase residual
    ParameterPV /nmRMS /nm
    Phase by ZYGO-Verifire PEphase-shifting interferometer22.155.38
    Phase by our method22.785.51
    Phase error2.490.35
    Absolute error0.630.13
    Table 1. PV and RMS values of phase and phase error
    Xiangyu Zhang, Ailing Tian, Zhiqiang Liu, Hongjun Wang, Bingcai Liu, Xueliang Zhu. Phase Extraction Method for Single Interferogram Based on Light Intensity Iteration[J]. Acta Optica Sinica, 2024, 44(7): 0712002
    Download Citation