Accurate complex modulation by the iterative spatial cross-modulation method

Yijun Qi; Chenliang Chang; Jun Xia

doi:doi:10.3788/COL201715.020901

Chinese Optics Letters, 2017, 15 (2): 020901, Published Online: Jul. 26, 2018

Accurate complex modulation by the iterative spatial cross-modulation method Download： 1486次

Yijun Qi ¹Chenliang Chang ²Jun Xia ^1,*

Author Affiliations

¹ Joint International Research Laboratory of Information Display and Visualization, School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China

² Key Laboratory for Opto-Electronic Technology of Jiangsu Province, Nanjing Normal University, Nanjing 210023, China

Figures & Tables

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.

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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.

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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.

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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.

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Fig. 8. Schematic setup used to measure the amplitude of a complex object.

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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.

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Table1. RMSE Comparison Among Our Method at 50 Times Iterations, Conventional SCMM[18], Off-axis Method[13], and DPH Method[19]

	Proposed method	Conventional SCMM	Off-axis method	DPH method
Amplitude	0.0017	0.0989	0.0546	0.0443
Phase	0.0088	0.3454	0.3900	0.1926

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Table2. RMSE Comparison Between Our Method at 50 Times Iterations and the Conventional SCMM[18] for Different Resolutions of Reconstructed Amplitudes

	Conventional SCMM		Proposed method
	amplitude	phase	amplitude	phase
$768 \times 768$	0.1283	0.3646	0.0011	0.0039
$512 \times 512$	0.0989	0.3454	0.0017	0.0088
$256 \times 256$	0.0346	0.2421	0.0016	0.0057

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Yijun Qi, Chenliang Chang, Jun Xia. Accurate complex modulation by the iterative spatial cross-modulation method[J]. Chinese Optics Letters, 2017, 15(2): 020901.

Accurate complex modulation by the iterative spatial cross-modulation method Download： 1486次

Fig. 1. Digital encoding step.

Fig. 2. Optical decoding step.

Fig. 3. Schematic of the proposed method.

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.

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.

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.

Fig. 8. Schematic setup used to measure the amplitude of a complex object.

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.

Table1. RMSE Comparison Among Our Method at 50 Times Iterations, Conventional SCMM[18], Off-axis Method[13], and DPH Method[19]

Table2. RMSE Comparison Between Our Method at 50 Times Iterations and the Conventional SCMM[18] for Different Resolutions of Reconstructed Amplitudes

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Accurate complex modulation by the iterative spatial cross-modulation method Download： 1486次

Fig. 1. Digital encoding step.

Fig. 2. Optical decoding step.

Fig. 3. Schematic of the proposed method.

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.

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.

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.

Fig. 8. Schematic setup used to measure the amplitude of a complex object.

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.

Table1. RMSE Comparison Among Our Method at 50 Times Iterations, Conventional SCMM[18], Off-axis Method[13], and DPH Method[19]

Table2. RMSE Comparison Between Our Method at 50 Times Iterations and the Conventional SCMM[18] for Different Resolutions of Reconstructed Amplitudes

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