Phase-Shifting Common-Path Interferometry for Lens Phase Detection via Single-Pixel Detector

Xingfu Tao; Aiping Zhai; Wenjing Ji; Wenjing Zhao; Dong Wang

doi:10.3788/AOS231982

Acta Optica Sinica, Volume. 44, Issue 9, 0912003(2024)

Phase-Shifting Common-Path Interferometry for Lens Phase Detection via Single-Pixel Detector

Xingfu Tao¹, Aiping Zhai^1、*, Wenjing Ji¹, Wenjing Zhao¹, and Dong Wang^1,2、**

¹College of Electronic Information and Optical Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi , China

²Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, Shanxi , China

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Fig. 1. Schematic diagrams of pattern construction and light path. (a), (b) Schematic diagrams of coding processes of signal light and reference light: (a₁) Hadamard pattern; (a₂) checkerboard for introducing signal light; (a₃) patterns on DMD for introducing signal light; (b₁) inverted version of checkerboard for introducing reference light; (b₂) binary phase-shifting gratings for introducing four-step phase shifts; (b₃) patterns on DMD for introducing reference light; (c) schematic diagram of light path

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Fig. 2. Experimental setup

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Fig. 3. Phase detection results of optical lenses with nominal focal lengths of 1000 mm and 500 mm. (a), (d) Truncating phase distribution; (c), (f) cross-sections of measured phases (triangles) compared with theoretical values (solid lines); (b), (e) 3D display of corresponding unwrapped phase

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Fig. 4. Phase detection results of optical lenses (nominal focul length is 1000 mm) with resolution of 64 pixel×64 pixel. (a) Truncating phase contour; (b) cross-sections of measured phases (triangles) compared with theoretical values (solid lines)

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Fig. 5. Phase detection results of optical lenses with nominal focal lengths of 1000 mm and 500 mm measured using three-step phase-shift method. (a), (c) Truncating phase distribution; (b), (d) cross-sections of measured phases (triangles) compared with theoretical values (solid lines)

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Fig. 6. Phase detection results of optical lens with nominal focal length of 1000 mm at different sampling rates. (a), (b) Reconstructed truncated phases compared with theoretical values under sampling rate of 0.8; (c), (d) reconstructed truncated phases compared with theoretical values under sampling rate of 0.4

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Fig. 7. Phase detection results of optical lens with nominal focal length of 500 mm at different sampling rates. (a), (b) Reconstructed truncated phases compared with theoretical values under sampling rate of 0.8; (c), (d) reconstructed truncated phases compared with theoretical values under sampling rate of 0.4

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Table 1. Measurement results of optical lens with nominal focul length of 1000 mm filtering with different sizes of pinholes
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Table 1. Measurement results of optical lens with nominal focul length of 1000 mm filtering with different sizes of pinholes
Size of pinhole /μm Measured value /mm Relative error /%
15 999.944 $-$ 0.0056
20 1000.184 +0.0184
25 999.365 $-$ 0.0635

Table 2. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 128 pixel×128 pixel
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Table 2. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 128 pixel×128 pixel
Measured value /mm 1000.184 1000.380 999.750 1000.379 999.705
Relative error /% +0.0184 +0.0380 $-$ 0.0250 +0.0379 $-$ 0.0295

Table 3. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 64 pixel×64 pixel
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Table 3. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 64 pixel×64 pixel
Measured value /mm 998.144 998.330 1001.282 1001.280 998.073
Relative error /% $-$ 0.1856 $-$ 0.1670 +0.1282 +0.1280 $-$ 0.1927

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Xingfu Tao, Aiping Zhai, Wenjing Ji, Wenjing Zhao, Dong Wang. Phase-Shifting Common-Path Interferometry for Lens Phase Detection via Single-Pixel Detector[J]. Acta Optica Sinica, 2024, 44(9): 0912003

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Dec. 25, 2023

Accepted: Feb. 22, 2024

Published Online: May. 13, 2024

The Author Email: Aiping Zhai (zhaiaiping@tyut.edu.cn), Dong Wang (wangdong@tyut.edu.cn)

DOI:10.3788/AOS231982

CSTR:32393.14.AOS231982

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Measurement results of optical lens with nominal focul length of 1000 mm filtering with different sizes of pinholes

Table 1. Measurement results of optical lens with nominal focul length of 1000 mm filtering with different sizes of pinholes

Table 2. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 128 pixel×128 pixel

Table 2. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 128 pixel×128 pixel

Table 3. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 64 pixel×64 pixel

Table 3. Comparison of measured focal lengths with theoretical values from lens phase map with resolution of 64 pixel×64 pixel