扩展光源准直照明系统出射光束发散特性的研究 
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Divergence Characteristics of Outgoing Beam from a Collimating Illumination System with an Extended Source
1 北方民族大学电气信息工程学院, 宁夏 银川 750021
2 合肥工业大学机械工程学院, 安徽 合肥 230009
图 & 表
图 1. LED准直透镜结构示意图
Fig. 1. Structural sketch of LED collimating lens
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图 2. 扩展光源准直照明系统中出射光束的发散特性
Fig. 2. Divergence characteristic of outgoing beams in collimating illumination system with extended source
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图 3. 扩展光源准直照明系统中平凸透镜的主面位置
Fig. 3. Principal plane position of a plane-convex lens in collimating illumination system with extended source
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图 4. 出射光束在传播过程的发散
Fig. 4. Divergence of the outgoing beam in the propagation process
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图 5. 平凸透镜对点光源的准直
Fig. 5. Collimation of point source by a flat-convex lens
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图 6. 出射光束在不同距离处探测面上的二维(左)和一维(右)照度分布。(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
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图 7. 出射光束发散角与光源尺寸的关系
Fig. 7. Relationship between the divergence angle of the outgoing beam and the source size
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图 8. 出射光束发散角与准直透镜焦距的关系
Fig. 8. Relationship between the divergence angle of the outgoing beam and the focal length of collimating lens
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图 9. 出射光束发散角与准直透镜口径的关系
Fig. 9. Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens
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图 10. 准直透镜(左)和XHP50.2型、XD16型LED(右)实物图
Fig. 10. Photos of collimation lens (left) and LED with XHP50.2-type, XD16-type (right)
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图 11. 探照灯及其照明光斑。(a)点亮中的探照灯;(b)出射光束的传播;(c) XHP50.2型LED探照灯在50 m处的照明光斑
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
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表 1出射光束发散角与光源尺寸的关系
Table1. Relationship between the divergence angle of the outgoing beam and the source size
| Sourcediameterd /mm | IlluminableradiusR /m | Divergence angle θ0/(°) | Relativeerror /% |
|---|
| Simulationvalue | Theoreticalvalue |
|---|
| 0.1 | 0.472 | 0.0270 | 0.0273 | -1.10 | | 1 | 4.87 | 0.279 | 0.273 | 2.20 | | 3 | 14.8 | 0.848 | 0.820 | 3.41 | | 5 | 24.8 | 1.42 | 1.37 | 3.65 | | 7 | 34.6 | 1.96 | 1.91 | 2.62 |
|
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表 2出射光束发散角与准直透镜焦距的关系
Table2. Relationship between the divergence angle of the outgoing beam and the focal length of collimating lens
| Distance of lensand source a /mm | Lens thicknessb /mm | Focal lengthf /mm | Illuminableradius R /m | Divergence angle θ0/(°) | Relative error /% |
|---|
| Simulation value | Theoretical value |
|---|
| 282 | 12.0 | 290 | 8.38 | 0.480 | 0.494 | -2.83 | | 246 | 13.5 | 255 | 9.60 | 0.550 | 0.560 | -1.78 | | 186 | 16.5 | 197 | 12.5 | 0.720 | 0.730 | -1.37 | | 136 | 21.0 | 150 | 16.8 | 0.962 | 0.954 | 0.880 | | 84.0 | 31.5 | 105 | 24.8 | 1.42 | 1.37 | 3.65 | | 58.0 | 40.0 | 84.8 | 31.5 | 1.80 | 1.69 | 6.51 | | 41.0 | 51.0 | 75.2 | 36.8 | 2.11 | 1.91 | 10.50 | | 28.0 | 62.0 | 69.5 | 41.1 | 2.35 | 2.06 | 14.10 |
|
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表 3出射光束发散角与准直透镜口径的关系
Table3. Relationship between the divergence angle of the outgoing beam and the aperture of collimating lens
| Lens aperture2r /mm | Illuminable radiusR /m | Divergence angle θ0 /(°) | Relative error /% |
|---|
| Simulation value | Theoretical value |
|---|
| 50.0 | 15.6 | 0.894 | 0.910 | -1.76 | | 75.0 | 15.9 | 0.911 | 0.910 | 0.109 | | 100 | 16.1 | 0.922 | 0.910 | 1.32 | | 125 | 16.2 | 0.928 | 0.910 | 1.98 | | 150 | 16.4 | 0.940 | 0.910 | 3.30 |
|
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康学亮, 刘启隆, 王丽, 姚海兵, 肖军, 张白. 扩展光源准直照明系统出射光束发散特性的研究[J]. 激光与光电子学进展, 2020, 57(15): 150801. 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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