Design of Large-Aperture Primary Mirror Based on Hybrid Optimization Method

Qi Sun; Xuefei Gong

doi:10.3788/AOS202040.2212001

Acta Optica Sinica, Volume. 40, Issue 22, 2212001(2020)

Design of Large-Aperture Primary Mirror Based on Hybrid Optimization Method

Qi Sun^1,2,3、* and Xuefei Gong^1,2、**

¹National Astronomical Observatories/Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;

²CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing, Jiangsu 210042, China;

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(12)

Fig. 1. Distribution of 20 design points with 2 input parameters. (a) LHS; (b) OSF

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Fig. 2. Optimization of the primary mirror structure

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Fig. 3. Support structure of VLTI AT primary mirror

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Fig. 4. Schematic diagram of the layout of 54 supporting points

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Fig. 5. Structural parameters of the lightweight design of the primary mirror

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Fig. 6. Variation curve of mirror surface deformation RMS with opening diameter

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Fig. 7. Final structure of the lightweight primary mirror

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Fig. 8. Mirror deformation after removing rigid body displacement

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Table 1. Performance parameters of ULE
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Table 1. Performance parameters of ULE
E /GPa ρ /kg·m^-3 ν CTE /(10^-6·℃^-1) K /W·(m·K)^-1 C_P /J·(kg·K)^-1
67 2205 0.18 0.03 1.3 766

Table 2. Parameter sensitivity
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Table 2. Parameter sensitivity
H D L₁ L₂ L₃ T₁ T₂ R₁ R₂ R₃ R₄
RMS -0.03 0.21 -0.03 0.15 0.04 -0.05 -0.41 -0.06 -0.03 -0.12 -0.38
Mass 0.26 -0.22 0.75 0.14 0.01 0.38 0.31 -0.01 0.01 -0.04 -0.03

Table 3. Parameter value range obtained after reductionunit: mm
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Table 3. Parameter value range obtained after reductionunit: mm
Symbol H D L₁ T₁ T₂ R₁ R₂ R₃ R₄
Range 150-200 120-150 5-20 10-30 10-30 320-370 650-700 870-920 1100-1150

Table 4. Optimal values of different parametersunit: mm
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Table 4. Optimal values of different parametersunit: mm
Symbol H D L₁ L₂ L₃ T₁ T₂ R₁ R₂ R₃ R₄
Optimal value 196 124 12 10 10 19 19 355 679 871 1115