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Opto-Electronic Engineering, Volume. 52, Issue 3, 240291(2025)

Analysis of curvature radius adjustment capability of large aperture ULE segmented mirror

Kailun Zhao1, Liuxing Song2, Dewei Sun1、*, Qiaolin Huang1, Guoliang Tian1, Jinping He1, and Rui Hu3
Author Affiliations
  • 1Beijing Key Laboratory of Advanced Optical Remote Sensing Technology, Beijing Institute of Space Mechanics & Electricity, Beijing 100094, China
  • 2School of Astronautics NUAA, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
  • 3Optics Lightweighting and New Materials Technology Center, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (12)
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    References (20)
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    Figures & Tables(12)
    Parametric modeling flow chart

    Fig. 1. Parametric modeling flow chart

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    Equivalent bilayer effect schematic

    Fig. 2. Equivalent bilayer effect schematic

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    Schematic diagram of a simply supported beam with a rotational spring

    Fig. 3. Schematic diagram of a simply supported beam with a rotational spring

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    Segmented mirror model diagrams. (a) Finite element model; (b) Three-dimensional model

    Fig. 4. Segmented mirror model diagrams. (a) Finite element model; (b) Three-dimensional model

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    Simulation diagrams of curvature radius under different control voltages. (a) At 5 V control voltage, dROC =−33.57 mm; (b) At 10 V control voltage, dROC =−66.46 mm; (c) At 15 V control voltage, dROC =−99.43 mm; (d) At 20 V control voltage, dROC =−132.28 mm; (e) At −5 V control voltage, dROC =27.59 mm; (f) At −10 V control voltage, dROC =54.55 mm; (g) At -15 V control voltage, dROC =82.61 mm; (h) At −20 V control voltage, dROC =109.79 mm

    Fig. 5. Simulation diagrams of curvature radius under different control voltages. (a) At 5 V control voltage, dROC =−33.57 mm; (b) At 10 V control voltage, dROC =−66.46 mm; (c) At 15 V control voltage, dROC =−99.43 mm; (d) At 20 V control voltage, dROC =−132.28 mm; (e) At −5 V control voltage, dROC =27.59 mm; (f) At −10 V control voltage, dROC =54.55 mm; (g) At -15 V control voltage, dROC =82.61 mm; (h) At −20 V control voltage, dROC =109.79 mm

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    Curvature radius variation curves

    Fig. 6. Curvature radius variation curves

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    Experimental diagram of segmented mirror curvature radius

    Fig. 7. Experimental diagram of segmented mirror curvature radius

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    Measure curvature radius results of the segmented mirror. (a) Measured curves of radius of curvature variation; (b) Curves of radius of curvature variation per unit control voltage

    Fig. 8. Measure curvature radius results of the segmented mirror. (a) Measured curves of radius of curvature variation; (b) Curves of radius of curvature variation per unit control voltage

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    • Table 1. Segmented mirror modeling parameters

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      Table 1. Segmented mirror modeling parameters

      MaterialEdge to edgeCurvature radiusMirror surface thicknessActuator countReinforcement rib thicknessEdge rib thicknessActuator height
      ULE510 mm9000 mm4 mm542.5 mm3 mm29.6 mm

    • Table 2. Piezoelectric ceramic property parameters

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      Table 2. Piezoelectric ceramic property parameters

      PropertyDensity ρ/(g·cm−3)Elastic modulus E/GPaPoisson ratio υCTE /(10−6·℃−1)
      Value8250.22

    • Table 3. Results of curvature radius variations under different control voltages

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      Table 3. Results of curvature radius variations under different control voltages

      Control voltage/VCurvature radius/mmCurvature radius variations per unit control voltage/mm
      208867.72−6.61
      158900.57−6.63
      108933.54−6.65
      58966.43−6.71
      09000.00—
      −59027.595.52
      −109054.555.46
      −159081.615.44
      −209107.795.39

    • Table 4. Results of curvature radius testing for the segmented mirror

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      Table 4. Results of curvature radius testing for the segmented mirror

      Control voltage/VCurvature radius/mmCurvature radius variations corresponding to unit control voltage/mm
      208891.585.51
      108953.824.80
      09001.83—
      −109036.193.44
      −209086.404.23
      −259115.024.53
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    Kailun Zhao, Liuxing Song, Dewei Sun, Qiaolin Huang, Guoliang Tian, Jinping He, Rui Hu. Analysis of curvature radius adjustment capability of large aperture ULE segmented mirror[J]. Opto-Electronic Engineering, 2025, 52(3): 240291

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    Paper Information

    Category: Article

    Received: Dec. 10, 2024

    Accepted: Feb. 12, 2025

    Published Online: May. 22, 2025

    The Author Email: Dewei Sun (孙德伟)

    DOI:10.12086/oee.2025.240291

    Topics

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