• Opto-Electronic Engineering
  • Vol. 51, Issue 2, 230157 (2024)
Sijun Fang, Bohong Li, Bin He, Yuwei Wu, and Lei Fan*
Author Affiliations
  • MOE Key Laboratory of TianQin Mission, TianQin Research Center for Gravitational Physics & School of Physics and Astronomy, Frontiers Science Center for TianQin, Gravitational Wave Research Center of CNSA, Sun Yat-sen University (Zhuhai Campus), Zhuhai, Guangdong 519082, China
  • show less
    DOI: 10.12086/oee.2024.230157 Cite this Article
    Sijun Fang, Bohong Li, Bin He, Yuwei Wu, Lei Fan. Design and thermal stability analysis of primary mirror assembly for space-borne gravitational wave telescope[J]. Opto-Electronic Engineering, 2024, 51(2): 230157 Copy Citation Text show less
    Schematic diagram of the telescope system. (a) Telescope optical system; (b) Primary mirror assembly
    Fig. 1. Schematic diagram of the telescope system. (a) Telescope optical system; (b) Primary mirror assembly
    Primary mirror lightweight model. (a) Support point layout; (b) Rib plate parameters; (c) Mirror thickness
    Fig. 2. Primary mirror lightweight model. (a) Support point layout; (b) Rib plate parameters; (c) Mirror thickness
    Relation between top angle of support and surface shape and rigid body displacement under different gravity directions. (a) Gravity force in the X-direction; (b) Gravity force in the Y-direction
    Fig. 3. Relation between top angle of support and surface shape and rigid body displacement under different gravity directions. (a) Gravity force in the X-direction; (b) Gravity force in the Y-direction
    Topology optimization results of the backplane. (a) Initial backplane; (b) Topological result; (c) Optimized backplane
    Fig. 4. Topology optimization results of the backplane. (a) Initial backplane; (b) Topological result; (c) Optimized backplane
    Stress-strain diagram of the beam element
    Fig. 5. Stress-strain diagram of the beam element
    Parameters of the flexible legs
    Fig. 6. Parameters of the flexible legs
    Schematic diagram of a single Bipod flexible support
    Fig. 7. Schematic diagram of a single Bipod flexible support
    Schematic diagram of primary mirror’s flexible support
    Fig. 8. Schematic diagram of primary mirror’s flexible support
    Influence of structural parameters on the evaluation function
    Fig. 9. Influence of structural parameters on the evaluation function
    The structure of the primary mirror assembly is deformed. (a) Finite element model; (b) Gravity condition; (c) Temperature condition; (d) Superposition condition
    Fig. 10. The structure of the primary mirror assembly is deformed. (a) Finite element model; (b) Gravity condition; (c) Temperature condition; (d) Superposition condition
    Surface error of the primary mirror. (a) Gravity condition; (b) Temperature condition; (c) Superposition condition
    Fig. 11. Surface error of the primary mirror. (a) Gravity condition; (b) Temperature condition; (c) Superposition condition
    Structural stability of primary mirror assembly. (a) Temperature stability of the environment; (b) Dimensional stability of structure
    Fig. 12. Structural stability of primary mirror assembly. (a) Temperature stability of the environment; (b) Dimensional stability of structure
    MatericalsZerodur4J36TC4
    Density/(g·cm3)2.538.904.44
    Poisson ratio0.240.250.34
    Young's modulus /GPa90.3141109
    CTE/(10−6·K−1)0.010.659.10
    Thermal conductivity/(W·m−1·K−1)1.3113.76.8
    Table 1. Properties of primary mirror component materials
    NameEdge thicknessRoof thicknessRib thicknessRib spacing
    Parmhcehpmljinlju
    Range/mm[6, 10][7, 9][4, 7][54, 66]
    Value/mm88560
    Table 2. The parameters of the lightweight primary mirror
    Parml1l2l3l4t1t2w1w2
    Range/mm[6, 10][5, 14][5, 14][1, 4][1, 3][0.5, 2][8, 14][8, 14]
    Value/mm8962211010
    Table 3. The parameters of the lightweight primary mirror
    Mode 1Mode 2Mode 3Mode 4Mode 5Mode 6
    Frequency/Hz392.43394.83722.33770.50927.36994.01
    Table 4. Modal analysis of primary mirror components
    TXTYTZRXRYRMS
    Requirement≤5 μm≤5 μm≤5 μm≤2.5 μrad≤2.5 μrad15 nm
    G−4.91 nm−1.59 μm−2.404 nm −36.3 nrad6.64 nrad5.47 nm
    T−0.423 nm−1.84 nm−0.714 μm−83.8 nrad21.9 nrad3.63 nm
    G+T−5.34 nm−1.60 μm−0.717 μm−0.120 μrad28.6 nrad3.61 nm
    Table 5. Primary mirror component analysis results
    Sijun Fang, Bohong Li, Bin He, Yuwei Wu, Lei Fan. Design and thermal stability analysis of primary mirror assembly for space-borne gravitational wave telescope[J]. Opto-Electronic Engineering, 2024, 51(2): 230157
    Download Citation