• Laser & Optoelectronics Progress
  • Vol. 58, Issue 23, 2322001 (2021)
Rundong Fan1, Huifu Zhao1、*, Yi Zeng1, Wenju Duan1, and Ying Hao2
Author Affiliations
  • 1School of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130012, China
  • 2Tianjin Eco-Environmental Monitoring Center, Tianjin 300110, China
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    DOI: 10.3788/LOP202158.2322001 Cite this Article Set citation alerts
    Rundong Fan, Huifu Zhao, Yi Zeng, Wenju Duan, Ying Hao. Design of Small Distortion Projection System Based on Double Gaussian Structure and Freeform Surface Illumination[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2322001 Copy Citation Text show less
    Schematic of overall system structure
    Fig. 1. Schematic of overall system structure
    Schematic of lighting lightpath
    Fig. 2. Schematic of lighting lightpath
    Schematic of analysis principle of collimating lens
    Fig. 3. Schematic of analysis principle of collimating lens
    Design of microlens array. (a) Schematic of design principle of microlens; (b) schematic of ray tracing of microlens array
    Fig. 4. Design of microlens array. (a) Schematic of design principle of microlens; (b) schematic of ray tracing of microlens array
    Structure diagram of lighting system
    Fig. 5. Structure diagram of lighting system
    Output light intensity curves of collimating lens
    Fig. 6. Output light intensity curves of collimating lens
    Illumination of target surface in lighting system. (a) Schematic of plane distribution; (b) schematic of distribution curve
    Fig. 7. Illumination of target surface in lighting system. (a) Schematic of plane distribution; (b) schematic of distribution curve
    Schematic of inverse telephoto principle
    Fig. 8. Schematic of inverse telephoto principle
    Initial structure of double Gaussian imaging system
    Fig. 9. Initial structure of double Gaussian imaging system
    Field curvature and distortion of double Gaussian structure after focal length scaling
    Fig. 10. Field curvature and distortion of double Gaussian structure after focal length scaling
    Half structure of double Gaussian structure
    Fig. 11. Half structure of double Gaussian structure
    Point plot and field distortion of 35° field. (a) Point plot; (b) field distortion
    Fig. 12. Point plot and field distortion of 35° field. (a) Point plot; (b) field distortion
    Diagram of ray tracing
    Fig. 13. Diagram of ray tracing
    Image quality results. (a) Transfer function diagram; (b) field curvature and distortion; (c) mesh distortion; (d) vertical axis chromatic aberration
    Fig. 14. Image quality results. (a) Transfer function diagram; (b) field curvature and distortion; (c) mesh distortion; (d) vertical axis chromatic aberration
    ParameterValue
    Pixel size /(μm×μm)5.4×5.4
    Image circle /mm15.606

    Projector distance /mm

    F number

    Focal length /mm

    Field angle /(°)

    Rear intercept /mm

    Total length of system /mm

    1250

    1.8

    12.47

    70

    >20

    <120

    Optical distorting /%<1
    MTF(Modulation Transfer Function)at frequency of 93 lp·mm-1(0-0.7 normalized field)>0.8
    MTF at frequency of 93 lp·mm-1(0.7-1.0 normalized field)>0.6

    Illuminance /%

    Energy efficiency /%

    >85

    >90

    Table 1. Relevant parameters and design indicators of projection system
    TypeNumerical /mmStandard /mmChange /mm
    TTHI 14 15(-)-0.037500000.010200000.00540000
    TTHI 14 15(+)0.037500000.007700000.00490000
    TEDX 15(+)0.010000000.005300000.00240000
    TEDY 15(-)-0.010000000.005200000.00240000
    TEDY 15(+)0.010000000.005200000.00240000
    TEDX 15(-)-0.010000000.005000000.00220000
    TIND 9(-)-0.001000000.004800000.00190000
    TEDY 14(+)0.010000000.004200000.00130000
    TEDY 14(-)-0.010000000.004100000.00130000
    TEDX 14(-)-0.050000000.016529400.00551634
    Table 2. Production and adjustment indicators that have a great impact on system
    ParameterValue /mm
    Nominal value0.00282
    Best value0.00296
    Worst value0.01231
    Average value0.00569
    Standard deviation0.00229
    Table 3. Analysis results of Monte Carlo algorithm
    Rundong Fan, Huifu Zhao, Yi Zeng, Wenju Duan, Ying Hao. Design of Small Distortion Projection System Based on Double Gaussian Structure and Freeform Surface Illumination[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2322001
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