• Laser & Optoelectronics Progress
  • Vol. 61, Issue 5, 0512004 (2024)
Xiao Ma, Chunyuan Chen, and Zexin Feng*
Author Affiliations
  • Beijing Engineering Research Center of Mixed Reality and Advanced Display, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
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    DOI: 10.3788/LOP230663 Cite this Article Set citation alerts
    Xiao Ma, Chunyuan Chen, Zexin Feng. Composite Phase Retrieval Method Based on Monge-Ampère Equation and Iterative Angular Spectrum[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0512004 Copy Citation Text show less
    Ray mapping based on geometric optics
    Fig. 1. Ray mapping based on geometric optics
    Schematic diagram of IAS algorithm
    Fig. 2. Schematic diagram of IAS algorithm
    Flow chart of the MAE-IAS hybrid algorithm
    Fig. 3. Flow chart of the MAE-IAS hybrid algorithm
    Simulation examples for peaks-type phase distribution. (a) Original phase distribution; (b) intensity distribution at z=3 mm
    Fig. 4. Simulation examples for peaks-type phase distribution. (a) Original phase distribution; (b) intensity distribution at z=3 mm
    Simulation results of each phase retrieval algorithms. (a) Reconstructed phase of TIE; (b) phase error of TIE algorithm; (c) reconstructed phase of MAE; (d) phase error of MAE; (e) reconstructed phase of TIE-IAS algorithm; (f) phase error of TIE-IAS algorithm; (g) reconstructed phase of MAE-IAS algorithm; (h) phase error of MAE-IAS algorithm
    Fig. 5. Simulation results of each phase retrieval algorithms. (a) Reconstructed phase of TIE; (b) phase error of TIE algorithm; (c) reconstructed phase of MAE; (d) phase error of MAE; (e) reconstructed phase of TIE-IAS algorithm; (f) phase error of TIE-IAS algorithm; (g) reconstructed phase of MAE-IAS algorithm; (h) phase error of MAE-IAS algorithm
    RMSE versus d in different phase retrieval algorithms. (a) TIE and MAE; (b) TIE-IAS and MAE-IAS algorithms
    Fig. 6. RMSE versus d in different phase retrieval algorithms. (a) TIE and MAE; (b) TIE-IAS and MAE-IAS algorithms
    RMSE versus iteration number for IAS and IAS/HIO algorithms. (a) Solving TIE as the initial value; (b) solving MAE as the initial value
    Fig. 7. RMSE versus iteration number for IAS and IAS/HIO algorithms. (a) Solving TIE as the initial value; (b) solving MAE as the initial value
    Simulation results of each phase retrieval algorithms under non-paraxial situation. (a) Reconstructed phase of MAE; (b) phase error of MAE; (c) reconstructed phase of MAE-IAS algorithm; (d) phase error of MAE-IAS algorithm
    Fig. 8. Simulation results of each phase retrieval algorithms under non-paraxial situation. (a) Reconstructed phase of MAE; (b) phase error of MAE; (c) reconstructed phase of MAE-IAS algorithm; (d) phase error of MAE-IAS algorithm
    AlgorithmRuntime /s
    TIE13.81
    MAE240.19

    TIE-IAS

    MAE-IAS

    152.35

    378.29

    Table 1. Runtime comparison of different phase retrieval algorithms
    Xiao Ma, Chunyuan Chen, Zexin Feng. Composite Phase Retrieval Method Based on Monge-Ampère Equation and Iterative Angular Spectrum[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0512004
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