Acta Optica Sinica, Volume. 38, Issue 7, 0722003(2018)

Design of Off-Axis Head-Mounted Display Optical System Based on Two Reflective Optical Free-Form Surfaces

Jingfei Ye1、*, Kaidi Xu1, Mingzhu Yang1, Zhenzhen Song1, Shixin Pei1, Lingbing Bu1, Lu Chen2, Zhishan Gao2, Jun Yu3, and Zhengxiang Shen3
Author Affiliations
  • 1 School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China
  • 2 School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
  • 3 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
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    Figures & Tables(8)
    Optical configuration of off-axis two mirror head-mounted display system
    Distributions of (a) system focal length and (b) full field of view at different exit pupils and F numbers
    Design of off-axis head-mounted display optical system based on two reflective free-form surfaces
    MTF curves of off-axis head-mounted display optical system based on two reflective free-form surfaces in different fields
    Distortion curves of off-axis head-mounted display optical system based on two reflective freeform surfaces
    Local sag maps of optical freeform surfaces of the off-axis reflective head-mounted display optical system. (a) Anamorphic free-form surface (the first freeform mirror); (b) XY polynomial freeform surface (the second free-form mirror)
    • Table 1. Comparison of design parameters of several different free-form head-mounted display optical systems

      View table

      Table 1. Comparison of design parameters of several different free-form head-mounted display optical systems

      Year2007[5]2010[17]2009[7]2010[8]2014[13]2014[12]
      Design result
      Exit pupil /mm83815≈58
      EFL /mm≈3014.251528.74≈2330
      F#≈3.754.751.875≈1.9≈4.63.75
      FOV20°16(H)×12(V)≈24°19(H)×14.5(V)53.5°45(H)×32(V)50°40(H)×30(V)≈25°21(H)×12.4(V)30°24(H)×17(V)
      Eye relief /mm15>15>17(18.25)>60(70)>15(≈17)15
      MTF value>20%@35 lp·mm-1within central3 mm pupil>10%@35 lp·mm-1for all fieldswithin all pupil>10%@30 lp·mm-1within central3 mm pupil>30%@30 lp·mm-1for all fieldswithin all pupil>10%@50 lp·mm-1within central3 mm pupil>40%@30 lp·mm-1within central4 mm pupil
      Display size0.44 inch4.8 mm×3.6 mm0.61 inch0.61 inch8.5 mm×5 mm0.61 inch
      StructureXY polynomialreflector anddiffractiveelementRadial basisfunction basedfreeformreflectorXY-typepolynomialsurface withfreeform prismIncluding XYpolynomialfreeformsurfaceZernikepolynomialfreeformreflectorXY polynomialfreeformreflector
      Weight /g≈250much light8heavymuch lightmuch light
      Note: EFL is effective focal length; FOV is field of view; MTF is modulation transfer function; 1 inch=2.54 cm.
    • Table 2. Comparison of different design results of off-axis reflective head-mounted display optical systems

      View table

      Table 2. Comparison of different design results of off-axis reflective head-mounted display optical systems

      ParameterDesign 1[13]Design 2[12]Our design
      Exit pupil /mm≈5810
      EFL /mm≈233030
      F#≈4.63.753.0
      FOV /(°)≈253028
      Eye relief /mm≈1715>15
      MTF>0.1 @50 lp·mm-1within central 3 mm pupil>0.4 @30 lp·mm-1within central 4 mm pupil>0.15 @30 lp·mm-1within central 6 mm pupil
      Distortion /%<6.2<3.5<4.5
      Display size8.5 mm×5 mm850×50010 μm·pixel-112.75 mm×9 mm800×60015 μm·pixel-112.6 mm×9 mm800×60015 μm·pixel-1
      Surface typeZernike polynomialfreeform surfaceXY polynomialfreeform surfaceAnamorphic+XYpolynomial freeform surface
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    Jingfei Ye, Kaidi Xu, Mingzhu Yang, Zhenzhen Song, Shixin Pei, Lingbing Bu, Lu Chen, Zhishan Gao, Jun Yu, Zhengxiang Shen. Design of Off-Axis Head-Mounted Display Optical System Based on Two Reflective Optical Free-Form Surfaces[J]. Acta Optica Sinica, 2018, 38(7): 0722003

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Dec. 26, 2017

    Accepted: --

    Published Online: Sep. 5, 2018

    The Author Email: Ye Jingfei (yjfei1988@gmail.com)

    DOI:10.3788/AOS201838.0722003

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