Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing

Bei Sha; Yujie Lu; Yiyan Xie; Qingyang Yue; Chengshan Guo

doi:doi:10.3788/COL201614.060902

Chinese Optics Letters, 2016, 14 (6): 060902, Published Online: Aug. 3, 2018

Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing Download： 846次

Bei Sha ^1,2Yujie Lu ¹Yiyan Xie ¹Qingyang Yue ¹Chengshan Guo ^1,*

Author Affiliations

¹ College of Physics and Electronics, Shandong Normal University, Jinan 250014, China

² College of Physics and Electronic Engineering, Qilu Normal University, Jinan 250200, China

Figures & Tables

Fig. 1. Sketch of the spatial spectrum of (a) a conventional ideal off-axis hologram and (b) a CSM hologram encoded by eight off-axis holograms.

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Fig. 2. Flowchart of the CSM algorithm for fast reconstruction of off-axis holograms.

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Fig. 3. Off-axis holographic recording setup used in experiments for CSM algorithm. S, source; BE, beam expander; BS, beam splitter; M, mirror; L, lens; CCD, image sensor.

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Fig. 4. (a) Example of the off-axis holograms recorded in the experiment. (b) Example of the spatial spectrum of a CSM function encoded by eight recorded holograms.

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Fig. 5. One group of the reconstructed wrapped phases using the CSM algorithm.

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Fig. 6. Example of the compared results of the retrieved phases using the CSM algorithm (the blue line) with that using the CV method (the red dashed line) at the same position of the retrieved phase distributions from the same hologram as the part marked by the red line in Fig. 5(a).

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Fig. 7. Examples of the images reconstructed by using (a) the CSM algorithm and (b) the CV algorithm when the object is a transmittance USAF resolution target with group numbers of 2 to 7.

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Table1. Ratio of the CSM’s Processing Time to Other Algorithms’ for Reconstructing a Single Off-Axis Hologram

Size	$t_{CSM} : t_{CV}$ (%)	$t_{CSM} : t_{AM}$ (%)	$t_{CSM} : t_{CAM}$ (%)	$t_{CSM} : t_{SM}$ (%)
$512 \times 512$	10.7	39.1	44.9	77.0
$1024 \times 1024$	11.9	42.5	48.5	77.4
$2048 \times 2048$	12.1	40.8	45.7	75.8

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Bei Sha, Yujie Lu, Yiyan Xie, Qingyang Yue, Chengshan Guo. Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing[J]. Chinese Optics Letters, 2016, 14(6): 060902.

Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing Download： 846次

Fig. 1. Sketch of the spatial spectrum of (a) a conventional ideal off-axis hologram and (b) a CSM hologram encoded by eight off-axis holograms.

Fig. 2. Flowchart of the CSM algorithm for fast reconstruction of off-axis holograms.

Fig. 3. Off-axis holographic recording setup used in experiments for CSM algorithm. S, source; BE, beam expander; BS, beam splitter; M, mirror; L, lens; CCD, image sensor.

Fig. 4. (a) Example of the off-axis holograms recorded in the experiment. (b) Example of the spatial spectrum of a CSM function encoded by eight recorded holograms.

Fig. 5. One group of the reconstructed wrapped phases using the CSM algorithm.

Fig. 6. Example of the compared results of the retrieved phases using the CSM algorithm (the blue line) with that using the CV method (the red dashed line) at the same position of the retrieved phase distributions from the same hologram as the part marked by the red line in Fig. 5(a).

Fig. 7. Examples of the images reconstructed by using (a) the CSM algorithm and (b) the CV algorithm when the object is a transmittance USAF resolution target with group numbers of 2 to 7.

Table1. Ratio of the CSM’s Processing Time to Other Algorithms’ for Reconstructing a Single Off-Axis Hologram

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Fast reconstruction of multiple off-axis holograms based on a combination of complex encoding and digital spatial multiplexing Download： 846次

Fig. 1. Sketch of the spatial spectrum of (a) a conventional ideal off-axis hologram and (b) a CSM hologram encoded by eight off-axis holograms.

Fig. 2. Flowchart of the CSM algorithm for fast reconstruction of off-axis holograms.

Fig. 3. Off-axis holographic recording setup used in experiments for CSM algorithm. S, source; BE, beam expander; BS, beam splitter; M, mirror; L, lens; CCD, image sensor.

Fig. 4. (a) Example of the off-axis holograms recorded in the experiment. (b) Example of the spatial spectrum of a CSM function encoded by eight recorded holograms.

Fig. 5. One group of the reconstructed wrapped phases using the CSM algorithm.

Fig. 6. Example of the compared results of the retrieved phases using the CSM algorithm (the blue line) with that using the CV method (the red dashed line) at the same position of the retrieved phase distributions from the same hologram as the part marked by the red line in Fig. 5(a).

Fig. 7. Examples of the images reconstructed by using (a) the CSM algorithm and (b) the CV algorithm when the object is a transmittance USAF resolution target with group numbers of 2 to 7.

Table1. Ratio of the CSM’s Processing Time to Other Algorithms’ for Reconstructing a Single Off-Axis Hologram

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