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Acta Optica Sinica, Volume. 41, Issue 22, 2212004(2021)

Phase Retrieval Using Transport of Intensity Equation with Fast Iterative Finite Difference

Yabin Zhang1, Xianrui Chen1, Lei Liu1、**, Bin Liu1, Zhi Zhong1,2, and Mingguang Shan1,2、*
Author Affiliations
  • 1College of Information and Communication Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, China
  • 2Key Laboratory of Advanced Marine Communication and Information Technology, Ministry of Industry and Information Technology, Harbin Engineering University, Harbin, Heilongjiang 150001, China
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    Intensity distribution and phase distribution of phase object focused on square grid plane. (a) Intensity distribution; (b) phase distribution

    Fig. 1. Intensity distribution and phase distribution of phase object focused on square grid plane. (a) Intensity distribution; (b) phase distribution

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    Phase retrieval result of square input image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

    Fig. 2. Phase retrieval result of square input image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

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    Phase retrieval results of images with different sizes. (a) Computing time; (b) φRMSE

    Fig. 3. Phase retrieval results of images with different sizes. (a) Computing time; (b) φRMSE

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    Intensity distribution and phase distribution of phase object focused on rectangular grid plane. (a) Intensity distribution; (b) phase distribution

    Fig. 4. Intensity distribution and phase distribution of phase object focused on rectangular grid plane. (a) Intensity distribution; (b) phase distribution

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    Phase retrieval result of rectangular input image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

    Fig. 5. Phase retrieval result of rectangular input image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

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    Phase retrieval result of noisy image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

    Fig. 6. Phase retrieval result of noisy image. (a)--(c) Phase distribution; (d)--(f) residual error distribution

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    Retrieval results of noisy images at different defocus distances obtained by proposed method. (a1)(a2) Axial derivative distribution of intensity. (b1)(b2) magnification of regions in dashed boxes in Figs. 7 (a1) and (a2); (c1)(c2) phase retrieval result; (d1) (d2) residual error distribution

    Fig. 7. Retrieval results of noisy images at different defocus distances obtained by proposed method. (a1)(a2) Axial derivative distribution of intensity. (b1)(b2) magnification of regions in dashed boxes in Figs. 7 (a1) and (a2); (c1)(c2) phase retrieval result; (d1) (d2) residual error distribution

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    Square intensity images and phase retrieval results at different defocus distances. (a)(d) Δz=-10 μm; (b)(e) Δz=0; (c)(f) Δz=10 μm

    Fig. 8. Square intensity images and phase retrieval results at different defocus distances. (a)(d) Δz=-10 μm; (b)(e) Δz=0; (c)(f) Δz=10 μm

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    Rectangular intensity images and phase retrieval results at different defocus distances. (a)(d) Δz=-10 μm; (b)(e) Δz=0; (c)(f) Δz=10 μm

    Fig. 9. Rectangular intensity images and phase retrieval results at different defocus distances. (a)(d) Δz=-10 μm; (b)(e) Δz=0; (c)(f) Δz=10 μm

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    Yabin Zhang, Xianrui Chen, Lei Liu, Bin Liu, Zhi Zhong, Mingguang Shan. Phase Retrieval Using Transport of Intensity Equation with Fast Iterative Finite Difference[J]. Acta Optica Sinica, 2021, 41(22): 2212004

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 28, 2021

    Accepted: Jun. 3, 2021

    Published Online: Nov. 17, 2021

    The Author Email: Liu Lei (liulei2015@hrbeu.edu.cn), Shan Mingguang (smgsir@gmail.com)

    DOI:10.3788/AOS202141.2212004

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology