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Acta Optica Sinica, Volume. 38, Issue 5, 0522002(2018)

Optical Description and Design Method of Annularly Piecewise Surface

Hailong Chen1, Yang Gao1, Dewen Cheng1,2、*, Yifan Huang1, and Yongtian Wang1,2
Author Affiliations
  • 1 Beijing Aerospace Institute of Metrology and Measurement Technology, Beijing 100076, China
  • 1 School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
  • 2 Beijing Engineering Research Center for Mixed Reality and Advanced Display Technology, Beijing 100081, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (11)
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    References (17)
    Cited By (3)
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    Figures & Tables(11)
    Schematic of surface transformation

    Fig. 1. Schematic of surface transformation

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    Structural diagram of phone lens

    Fig. 2. Structural diagram of phone lens

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    ERMS curves under different numbers of segments. (a) 2-6; (b) 6-13; (c) 13-20

    Fig. 3. ERMS curves under different numbers of segments. (a) 2-6; (b) 6-13; (c) 13-20

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    Optical path of initial structure

    Fig. 4. Optical path of initial structure

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    (a) Optical path when overlap of rays exists; (b) optical path when overlap of rays is solved

    Fig. 5. (a) Optical path when overlap of rays exists; (b) optical path when overlap of rays is solved

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    System after optimization of aspherical surface. (a) MTF curve; (b) distortion grid

    Fig. 6. System after optimization of aspherical surface. (a) MTF curve; (b) distortion grid

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    Layout of optical system with ultra-short projection lens

    Fig. 7. Layout of optical system with ultra-short projection lens

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    System after optimization of annularly piecewise surface. (a) MTF curve; (b) distortion grid

    Fig. 8. System after optimization of annularly piecewise surface. (a) MTF curve; (b) distortion grid

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    • Table 1. Performance parameters of ultra-short projection lens

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      Table 1. Performance parameters of ultra-short projection lens

      ParameterValue
      Digital micro-mirror device size (diagonal)16.51 mm
      Screen size (diagonal)2032 mm
      Projection distance /mm590
      Throw ratio0.29
      F number3
      Distortion<2%
      Modulation transfer function>30%@66 lp/mm
      Telecentricity /(°)<3

    • Table 2. ERMS for three piecewise methods

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      Table 2. ERMS for three piecewise methods

      Segmentation methodUniformCurvatureFeedback
      ERMS /mm1.14×10-47.23×10-53.85×10-5

    • Table 3. Polynomial coefficients of each piecewise surface

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      Table 3. Polynomial coefficients of each piecewise surface

      Number of segmentsabcd
      11.123117×10-41.371715×10-23.148854×10-3-6.005532
      29.837807×10-51.233221×10-21.755533×10-2-6.041083
      31.825474×10-46.737111×10-31.059625×10-1-6.449983
      44.177199×10-51.088035×10-28.125299×10-2-6.538591
      59.082783×10-57.099632×10-31.767819×10-1-7.332781
      61.945387×10-4-2.278891×10-34.592208×10-1-10.165570
      74.156418×10-4-2.611475×10-21.316245-20.442780
      88.242289×10-4-7.619679×10-23.362841-48.325430
      91.610584×10-3-1.809737×10-18.017051-1.172477×102
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    Hailong Chen, Yang Gao, Dewen Cheng, Yifan Huang, Yongtian Wang. Optical Description and Design Method of Annularly Piecewise Surface[J]. Acta Optica Sinica, 2018, 38(5): 0522002

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Sep. 11, 2017

    Accepted: --

    Published Online: Jul. 10, 2018

    The Author Email: Dewen Cheng (cdwlxk@163.com)

    DOI:10.3788/AOS201838.0522002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology