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Acta Optica Sinica, Volume. 41, Issue 20, 2026001(2021)

Influence of Diffractive Optical Elements on Multiple Spherical Spots in a 4π Focusing System

Huihui Duan, Yanfang Yang*, Ying He, Xiyu Yan, and Lulu Li
Author Affiliations
  • Department of Physics, College of Sciences, Shanghai University, Shanghai 200444, China
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    References (23)
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    Figures & Tables(6)
    Diagrams. (a) Schematic of the 4π focusing system; (b) schematic diagram of six-belt DOE

    Fig. 1. Diagrams. (a) Schematic of the 4π focusing system; (b) schematic diagram of six-belt DOE

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    4π focusing field of radially polarized beam without DOE. (a) NA=0.95; (b) NA=1.4

    Fig. 2. 4π focusing field of radially polarized beam without DOE. (a) NA=0.95; (b) NA=1.4

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    Three spherical spots produced by radial polarized beam with amplitude modulation double-belt DOE in 4π focusing system

    Fig. 3. Three spherical spots produced by radial polarized beam with amplitude modulation double-belt DOE in 4π focusing system

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    Multi-sphere focusing spots are generated by modulating radially polarized beams in four kinds of DOE structures when the transmission function of DOE is 1,-1, 1,-1. (a)(b) Three-belt DOE; (c)(d) four-belt DOE; (e)(f) five-belt DOE; (g)(h) six-belt DOE

    Fig. 4. Multi-sphere focusing spots are generated by modulating radially polarized beams in four kinds of DOE structures when the transmission function of DOE is 1,-1, 1,-1. (a)(b) Three-belt DOE; (c)(d) four-belt DOE; (e)(f) five-belt DOE; (g)(h) six-belt DOE

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    • Table 1. Number of spherical spots and parameters of DOE structure when transmission function of DOE is 1, -1, 1, -1,…

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      Table 1. Number of spherical spots and parameters of DOE structure when transmission function of DOE is 1, -1, 1, -1,…

      Structureof DOETransmissionfunctionNumber ofspherical spotsα1 /radα2 /radα3 /radα4 /radα5 /radα6 /rad
      Three-belt1,-1,130.520.681.25
      Four-belt1,-1,1,-130.380.530.661.25
      Five-belt1,-1,1,-1,150.180.380.581.191.25
      Six-belt1,-1,1,-1,1,-150.070.350.560.721.171.25

    • Table 2. Number of spherical spots and parameters of DOE structure when transmission function of DOE is 1, 0, 1, 0,…

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      Table 2. Number of spherical spots and parameters of DOE structure when transmission function of DOE is 1, 0, 1, 0,…

      Structureof DOETransmissionfunctionNumber ofspherical spotsα1 /radα2 /radα3 /radα4 /radα5 /radα6 /rad
      Three-belt1,0,130.350.721.25
      Four-belt1,0,1,030.370.791.181.25
      Five-belt1,0,1,0,150.180.841.051.201.25
      Six-belt1,0,1,0,1,050.070.350.420.791.171.25
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    Huihui Duan, Yanfang Yang, Ying He, Xiyu Yan, Lulu Li. Influence of Diffractive Optical Elements on Multiple Spherical Spots in a 4π Focusing System[J]. Acta Optica Sinica, 2021, 41(20): 2026001

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    Paper Information

    Category: Physical Optics

    Received: Feb. 3, 2021

    Accepted: May. 6, 2021

    Published Online: Sep. 30, 2021

    The Author Email: Yang Yanfang (yanfangyang@shu.edu.cn)

    DOI:10.3788/AOS202141.2026001

    Topics

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