Acta Optica Sinica, Volume. 44, Issue 7, 0726001(2024)

Beam Shaping Algorithm Based on High-Order Quasi-Discrete Hankel Transform

Hui Yu1,2, Xinhui Ding1,2, Dawei Li1, Qiong Zhou1, Lü Fengnian1, and Xingqiang Lu1、*
Author Affiliations
  • 1Key Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(7)
    Schematic diagram of beam shaping of 2f system
    Flow diagram of GS algorithm
    Simulation results of CA beam, Bessel beam, and LG beam calculated based on GS algorithm and pQDHT-GS algorithm. (a1)-(c1) Phase distributions of DOEs based on GS algorithm; (d1)-(f1) intensity distributions of focal plane based on GS algorithm; (a2)-(c2) phase distributions of DOEs based on pQDHT-GS algorithm; (d2)-(f2) intensity distributions of focal plane based on pQDHT-GS algorithm
    Comparison between focal plane beam profile (FTBP) and target beam profile (TBP). (a)-(c) Calculation results based on GS algorithm; (d)-(f) calculation results based on pQDHT-GS algorithm
    Experimental light path diagram
    Target beam and experimental results. (a) CA beam; (b) experimental result; (c) filtered experimental result after filtering
    • Table 1. Simulation comparison results

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      Table 1. Simulation comparison results

      Number of iterationSampling numberGS algorithmpQDHT-GS algorithm
      δξ /%CPU time /sδξ /%CPU time /s
      500512×5120.23899.9532.790.19698.440.43
      1000512×5120.23299.9560.450.19698.440.79
      5001024×10240.26399.89143.610.21999.271.85
      10001024×10240.25999.88307.310.21999.273.48
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    Hui Yu, Xinhui Ding, Dawei Li, Qiong Zhou, Lü Fengnian, Xingqiang Lu. Beam Shaping Algorithm Based on High-Order Quasi-Discrete Hankel Transform[J]. Acta Optica Sinica, 2024, 44(7): 0726001

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    Paper Information

    Category: Physical Optics

    Received: Dec. 26, 2023

    Accepted: Jan. 22, 2024

    Published Online: Apr. 11, 2024

    The Author Email: Lu Xingqiang (xingqianglu@siom.ac.cn)

    DOI:10.3788/AOS231988

    CSTR:32393.14.AOS231988

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