Acta Optica Sinica, Volume. 44, Issue 4, 0422004(2024)

Hollow Beam Shaper Based on Axicon Lens Group

Yuanyuan Zhao, Yidong Ye*, Junlan Yang, and Feng Wang
Author Affiliations
  • Institute of Applied Electronics, China Academy of Engineering Physics, Mianyang 621900, Sichuan , China
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    Figures & Tables(18)
    Schematic diagram of two axicon types with spherical cone tip
    Eight kinds of axicon lens group arrangement diagram. (a)-(d) Double convex combination arrangement; (e)-(h) concave and convex combination arrangement
    Beam transformation diagram
    Diffraction pattern and cross-section normalized light intensity distribution diagram. (a) z0=0 m; (b) z0=10 m; (c) z0=20 m; (d) z0=30 m
    Variation curve of normalized light intensity of point on axis with transmission distance
    Variation curves of β with D/ω0 under two kinds of encircled energy characterization
    Relationship between energy truncation loss and D/ω0
    Variation of beam quality with ε under two kinds of encircle energy characterization. (a) 83.8% encircled energy; (b) 63.2% encircled energy
    Light path diagram of center and edge rays when cone-top angles are inconsistent
    Maximum optical path difference varying with deviation of cone-top angle
    Schematic diagram of axicon group when relative error exists. (a) Relative eccentricity; (b) relative tilt
    Variation curves of wavefront RMS with respect to relative error of conical mirror set at different cone-top angles. (a) Relative eccentricity; (b) relative tilt
    Beam far-field pattern. (a) Solid beam; (b) hollow beam
    Comparison of near and far field light spots before and after shaping. (a) Gaussian beam near field; (b) Gaussian beam far field; (c) hollow beam near field; (d) hollow beam far field
    • Table 1. Calculation parameters

      View table

      Table 1. Calculation parameters

      ParameterValue
      Truncation radius r0/mm30
      Gaussian beam radius ω0/mm20
      Wavelength λ/nm1064
      Refractive index n1.449631
      Thickness of first axicon l1 /mm10
      Thickness of second axicon l2 /mm20
      Distance between two axicons L /mm100
      Cone-top angle 2γ /(°)160
    • Table 2. Wavefront RMS value and corresponding eccentricity and tilt errors

      View table

      Table 2. Wavefront RMS value and corresponding eccentricity and tilt errors

      RMS /λEccentricity /mmTilt /(°)
      1.00020.021070.09848
      2.00050.042140.19696
      2.99960.063210.29535
    • Table 3. Wavefront RMS value when positive eccentricity and negative tilt coexist

      View table

      Table 3. Wavefront RMS value when positive eccentricity and negative tilt coexist

      Eccentricity /mmTilt /(°)RMS /λPercentage increase in wavefront error /%
      0.02107-0.098482.000099.96
      0.04214-0.196964.000299.96
      0.06321-0.295355.9992100.00
    • Table 4. Wavefront RMS value when positive eccentricity and positive tilt coexist

      View table

      Table 4. Wavefront RMS value when positive eccentricity and positive tilt coexist

      Eccentricity /mmTilt /(°)RMS /λPercentage reduction in wavefront error /%
      0.021070.098480.037696.24
      0.042140.196960.074796.27
      0.063210.295350.112196.26
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    Yuanyuan Zhao, Yidong Ye, Junlan Yang, Feng Wang. Hollow Beam Shaper Based on Axicon Lens Group[J]. Acta Optica Sinica, 2024, 44(4): 0422004

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Sep. 5, 2023

    Accepted: Dec. 11, 2023

    Published Online: Feb. 27, 2024

    The Author Email: Yidong Ye (yidongye@163.com)

    DOI:10.3788/AOS231526

    CSTR:32393.14.AOS231526

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