• Chinese Optics Letters
  • Vol. 15, Issue 2, 020901 (2017)
Yijun Qi1, Chenliang Chang2, and Jun Xia1、*
Author Affiliations
  • 1Joint International Research Laboratory of Information Display and Visualization, School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China
  • 2Key Laboratory for Opto-Electronic Technology of Jiangsu Province, Nanjing Normal University, Nanjing 210023, China
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    DOI: 10.3788/COL201715.020901 Cite this Article Set citation alerts
    Yijun Qi, Chenliang Chang, Jun Xia. Accurate complex modulation by the iterative spatial cross-modulation method[J]. Chinese Optics Letters, 2017, 15(2): 020901 Copy Citation Text show less
    Digital encoding step.
    Fig. 1. Digital encoding step.
    Optical decoding step.
    Fig. 2. Optical decoding step.
    Schematic of the proposed method.
    Fig. 3. Schematic of the proposed method.
    Simulation results (a) and (e) from the conventional SCMM and (b) and (f), (c) and (g), and (d) and (h) the proposed method with different numbers of iterations using a random phase diffuser of the 256 gray level.
    Fig. 4. Simulation results (a) and (e) from the conventional SCMM and (b) and (f), (c) and (g), and (d) and (h) the proposed method with different numbers of iterations using a random phase diffuser of the 256 gray level.
    Reconstructed amplitude and phase. (a) and (e) by the proposed method at 50 times iterations. (b) and (f) by the conventional SCMM. (c) and (g) by the off-axis method. (d) and (h) by the DPH method.
    Fig. 5. Reconstructed amplitude and phase. (a) and (e) by the proposed method at 50 times iterations. (b) and (f) by the conventional SCMM. (c) and (g) by the off-axis method. (d) and (h) by the DPH method.
    Created complex field k0(x,y)1920×1080, reconstruction of the amplitude and phase at (a) and (b) 768×768, (e) and (f) 512×512, (i) and (j) 256×256 by the conventional SCMM. Reconstruction of the amplitude and phase at (c) and (d) 768×768, (g) and (h) 512×512, (k) and (l) 256×256 by the proposed method at 50 times iterations.
    Fig. 6. Created complex field k0(x,y)1920×1080, reconstruction of the amplitude and phase at (a) and (b) 768×768, (e) and (f) 512×512, (i) and (j) 256×256 by the conventional SCMM. Reconstruction of the amplitude and phase at (c) and (d) 768×768, (g) and (h) 512×512, (k) and (l) 256×256 by the proposed method at 50 times iterations.
    (a) RMSE curves of the reconstructed amplitude image at various diffusion ratios. (b) The RMSE curves of the reconstructed phase image at various diffusion ratios.
    Fig. 7. (a) RMSE curves of the reconstructed amplitude image at various diffusion ratios. (b) The RMSE curves of the reconstructed phase image at various diffusion ratios.
    Schematic setup used to measure the amplitude of a complex object.
    Fig. 8. Schematic setup used to measure the amplitude of a complex object.
    (a) and (c) Numerical results of the amplitude of the conventional SCMM and the proposed method by iteration 20. (b) and (d) Optical results of the intensity of the conventional SCMM and the proposed method by iteration 20. The phase of the reconstructed object is zero.
    Fig. 9. (a) and (c) Numerical results of the amplitude of the conventional SCMM and the proposed method by iteration 20. (b) and (d) Optical results of the intensity of the conventional SCMM and the proposed method by iteration 20. The phase of the reconstructed object is zero.
     Proposed methodConventional SCMMOff-axis methodDPH method
    Amplitude0.00170.09890.05460.0443
    Phase0.00880.34540.39000.1926
    Table 1. RMSE Comparison Among Our Method at 50 Times Iterations, Conventional SCMM[18], Off-axis Method[13], and DPH Method[19]
     Conventional SCMMProposed method
     amplitudephaseamplitudephase
    768×7680.12830.36460.00110.0039
    512×5120.09890.34540.00170.0088
    256×2560.03460.24210.00160.0057
    Table 2. RMSE Comparison Between Our Method at 50 Times Iterations and the Conventional SCMM[18] for Different Resolutions of Reconstructed Amplitudes
    Yijun Qi, Chenliang Chang, Jun Xia. Accurate complex modulation by the iterative spatial cross-modulation method[J]. Chinese Optics Letters, 2017, 15(2): 020901
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