Laser & Optoelectronics Progress, Volume. 60, Issue 16, 1611002(2023)

Design of Ultrashort-Throw Projection Imaging System Based on Catadioptric Coupling

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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    Figures & Tables(17)
    Schematic of catadioptric ultrashort-throw projection optical system
    Schematic of coupling point error calculation
    Process of building the initial structure
    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
    Spot radius of the initial structure and the forward final optical system
    Relative distortion of the initial structure
    Flow chart of overall optimization
    Comparison of coupling deviation. (a) Initial structural coupling deviation; (b) positive final coupling deviation
    Final optical system structure
    Spot radius of reverse final optical system
    Distortion of the reverse final optical system. (a) Relative distortion; (b) grid distortion
    MTF curve of the reverse final optical system
    • Table 1. Technical parameters of ultrashort-throw projection optical system

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      Table 1. Technical parameters of ultrashort-throw projection 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 2. Structural parameters of optical system

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      Table 2. Structural parameters of 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 3. Aspheric coefficient of reflector

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      Table 3. Aspheric coefficient of reflector

      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 4. Coefficient of even aspheric surface

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      Table 4. Coefficient of even aspheric surface

      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
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    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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    Paper Information

    Category: Imaging Systems

    Received: Aug. 12, 2022

    Accepted: Nov. 2, 2022

    Published Online: Aug. 18, 2023

    The Author Email: Ying Cheng (ycheng@tust.edu.cn)

    DOI:10.3788/LOP222264

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