• Laser & Optoelectronics Progress
  • Vol. 60, Issue 16, 1611002 (2023)
Ying Cheng1,*, Kang Liu1, and Hangyu Xu2
Author Affiliations
  • 1Tianjin Key Laboratory of Integrated Design and On-line Monitoring for Light Industry & Food Machinery and Equipment, College of Mechanical Engineering, Tianjin University of Science & Technology, Tianjin 300222, China
  • 2Yipu Optoelectronics (Tianjin) Co., Ltd., Tianjin 300385, China
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    DOI: 10.3788/LOP222264 Cite this Article Set citation alerts
    Ying Cheng, Kang Liu, Hangyu Xu. Design of Ultrashort-Throw Projection Imaging System Based on Catadioptric Coupling[J]. Laser & Optoelectronics Progress, 2023, 60(16): 1611002 Copy Citation Text show less
    Schematic of catadioptric ultrashort-throw projection optical system
    Fig. 1. Schematic of catadioptric ultrashort-throw projection optical system
    Schematic of coupling point error calculation
    Fig. 2. Schematic of coupling point error calculation
    Process of building the initial structure
    Fig. 3. Process of building the initial structure
    Variation of coupling deviation of each field-of-view before and after controlling coupling deviation
    Fig. 4. Variation of coupling deviation of each field-of-view before and after controlling coupling deviation
    Variation of spot radius of each field-of-view before and after controlling coupling deviation
    Fig. 5. Variation of spot radius of each field-of-view before and after controlling coupling deviation
    Spot radius of the initial structure and the forward final optical system
    Fig. 6. Spot radius of the initial structure and the forward final optical system
    Relative distortion of the initial structure
    Fig. 7. Relative distortion of the initial structure
    Flow chart of overall optimization
    Fig. 8. Flow chart of overall optimization
    Comparison of coupling deviation. (a) Initial structural coupling deviation; (b) positive final coupling deviation
    Fig. 9. Comparison of coupling deviation. (a) Initial structural coupling deviation; (b) positive final coupling deviation
    Final optical system structure
    Fig. 10. Final optical system structure
    Spot radius of reverse final optical system
    Fig. 11. Spot radius of reverse final optical system
    Distortion of the reverse final optical system. (a) Relative distortion; (b) grid distortion
    Fig. 12. Distortion of the reverse final optical system. (a) Relative distortion; (b) grid distortion
    MTF curve of the reverse final optical system
    Fig. 13. MTF curve of the reverse final optical system
    ParameterValue
    Display chip size0.37 inch,1920×1080
    Screen size100 inch(2540 mm)
    F-number2.6
    Projection ratio0.22
    Image offset140%
    Telecentric degree<1°
    TV distortionhorizontal<0.5%;vertical<0.4%
    MTF>0.5@117 lp/mm
    Table 1. Technical parameters of ultrashort-throw projection optical system
    SurfuceTypeRadius /mmThickness /mmMaterialSurfuceTypeRadius /mmThickness /mmMaterial
    S0StandardInfinity486.860S14Standard-20.269-1.100H-LAK54
    S1Odd asphere-145.132-74.652MIRRORS15Standard-9.066-2.671D-LAK5
    S2Even asphere17.724-3.500F52RS16Standard33.592-0.116
    S3Even asphere66.033-0.117STOPStandardInfinity-0.116
    S4Standard-19.409-5.487H-ZF52S18Standard-112.211-2.402H-FK71
    S5Standard-51.029-3.896S19Standard11.524-1.100TAFD55
    S6Standard46.507-5.139FDS1S20Standard-29.148-5.441
    S7Standard-72.032-2.939S21Even asphere160.592-3.468D-K9
    S8Standard42.570-2.155D-LAF50S22Even asphere11.473-0.144
    S9Standard-125.874-5.329S23Standard40.344-3.822H-FK61
    S10Standard29.217-4.294F3S24Standard11.392-3.334TAFD55
    S11Standard17.373-11.000S25Standard15.662-0.145
    S12Standard-32.682-4.099ZF13S26Standard110.797-1.997H-ZF88
    S13Standard-445.750-10.938S27Standard34.345-5.000
    Table 2. Structural parameters of optical system
    OrderConic2th order term3th order term4th order term
    Aspheric coefficient5.986-0.015-2.171×10-42.482×10-5
    Order5th order term6th order term7th order term8th order term
    Aspheric coefficient-8.655×10-71.536×10-8-1.377×10-104.469×10-13
    Table 3. Aspheric coefficient of reflector
    OrderS2S3S21S22
    Conic0.0349.72700
    4th order term-1.584×10-4-1.239×10-47.708×10-5-2.909×10-5
    6th order term1.896×10-61.869×10-67.018×10-73.206×10-7
    8th order term-1.942×10-8-2.136×10-8-2.645×10-8-2.236×10-9
    10th order term1.208×10-101.565×10-101.222×10-10-1.283×10-10
    12th order term-4.768×10-13-7.472×10-1300
    14th order term1.077×10-152.074×10-1500
    16th order term-1.077×10-18-2.545×10-1800
    Table 4. Coefficient of even aspheric surface
    Ying Cheng, Kang Liu, Hangyu Xu. Design of Ultrashort-Throw Projection Imaging System Based on Catadioptric Coupling[J]. Laser & Optoelectronics Progress, 2023, 60(16): 1611002
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