• Laser & Optoelectronics Progress
  • Vol. 57, Issue 15, 150801 (2020)
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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    DOI: 10.3788/LOP57.150801 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Structural sketch of LED collimating lens
    Fig. 1. Structural sketch of LED collimating lens
    Divergence characteristic of outgoing beams in collimating illumination system with extended source
    Fig. 2. 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
    Fig. 3. Principal plane position of a plane-convex lens in collimating illumination system with extended source
    Divergence of the outgoing beam in the propagation process
    Fig. 4. Divergence of the outgoing beam in the propagation process
    Collimation of point source by a flat-convex lens
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    Fig. 9. 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)
    Fig. 10. 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
    Fig. 11. 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
    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 1. Relationship between the divergence angle of the outgoing beam and the source size
    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 2. Relationship between the divergence angle of the outgoing beam and the focal length 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
    Table 3. Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens
    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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