Laser & Optoelectronics Progress, Volume. 57, Issue 15, 150801(2020)

Divergence Characteristics of Outgoing Beam from a Collimating Illumination System with an Extended Source

Xueliang Kang1、*, Qilong Liu1, Li Wang1,2, Haibing Yao1, Jun Xiao1, and Bai Zhang1
Author Affiliations
  • 1School of Electrical & Information Engineering, North Minzu University, Yinchuan, Ningxia 750021, China;
  • 2School of Mechanical Engineering, Hefei University of Technology, Hefei, Anhui 230009, China
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    Figures & Tables(14)
    Structural sketch of LED collimating lens
    Divergence characteristic of outgoing beams in collimating illumination system with extended source
    Principal plane position of a plane-convex lens in collimating illumination system with extended source
    Divergence of the outgoing beam in the propagation process
    Collimation of point source by a flat-convex lens
    Two-dimensional (left) and one-dimensional (right) illumination distributions of the outgoing beam on the detection plane at different distances. (a) z=200 mm; (b) z=10 m; (c) z=1 km
    Relationship between the divergence angle of the outgoing beam and the source size
    Relationship between the divergence angle of the outgoing beam and the focal length of collimating lens
    Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens
    Photos of collimation lens (left) and LED with XHP50.2-type, XD16-type (right)
    Searchlight and its illumination spot. (a) Searchlight in lighting; (b) propagation of the outgoing beam; (c) illumination spot of the searchlight with XHP50.2-type LED at a 50 m distance
    • Table 1. Relationship between the divergence angle of the outgoing beam and the source size

      View table

      Table 1. Relationship between the divergence angle of the outgoing beam and the source size

      Sourcediameterd /mmIlluminableradiusR /mDivergence angle θ0/(°)Relativeerror /%
      SimulationvalueTheoreticalvalue
      0.10.4720.02700.0273-1.10
      14.870.2790.2732.20
      314.80.8480.8203.41
      524.81.421.373.65
      734.61.961.912.62
    • Table 2. Relationship between the divergence angle of the outgoing beam and the focal length of collimating lens

      View table

      Table 2. Relationship between the divergence angle of the outgoing beam and the focal length of collimating lens

      Distance of lensand source a /mmLens thicknessb /mmFocal lengthf /mmIlluminableradius R /mDivergence angle θ0/(°)Relative error /%
      Simulation valueTheoretical value
      28212.02908.380.4800.494-2.83
      24613.52559.600.5500.560-1.78
      18616.519712.50.7200.730-1.37
      13621.015016.80.9620.9540.880
      84.031.510524.81.421.373.65
      58.040.084.831.51.801.696.51
      41.051.075.236.82.111.9110.50
      28.062.069.541.12.352.0614.10
    • Table 3. Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens

      View table

      Table 3. Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens

      Lens aperture2r /mmIlluminable radiusR /mDivergence angle θ0 /(°)Relative error /%
      Simulation valueTheoretical value
      50.015.60.8940.910-1.76
      75.015.90.9110.9100.109
      10016.10.9220.9101.32
      12516.20.9280.9101.98
      15016.40.9400.9103.30
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    Xueliang Kang, Qilong Liu, Li Wang, Haibing Yao, Jun Xiao, Bai Zhang. Divergence Characteristics of Outgoing Beam from a Collimating Illumination System with an Extended Source[J]. Laser & Optoelectronics Progress, 2020, 57(15): 150801

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    Paper Information

    Category: Geometric Optics

    Received: Oct. 15, 2019

    Accepted: Nov. 26, 2019

    Published Online: Aug. 4, 2020

    The Author Email: Xueliang Kang (wnkanger@163.com)

    DOI:10.3788/LOP57.150801

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