• Acta Optica Sinica
  • Vol. 43, Issue 13, 1320002 (2023)
Yufeng Tang1、2, Yincheng Shi3, Wenli Li1、2, Yisheng Chen1、2, Chong Wang2, and Zhenyu Liu2、*
Author Affiliations
  • 1College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing, 100039, China
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, Jilin, China
  • 3Technical University of Denmark, Lyngby2800, Denmark
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    DOI: 10.3788/AOS230470 Cite this Article Set citation alerts
    Yufeng Tang, Yincheng Shi, Wenli Li, Yisheng Chen, Chong Wang, Zhenyu Liu. Conformal Orthogonal Basis for Topology Optimization of Mirror Support Structures[J]. Acta Optica Sinica, 2023, 43(13): 1320002 Copy Citation Text show less
    Sag displacements
    Fig. 1. Sag displacements
    Normal displacements
    Fig. 2. Normal displacements
    Eigenmodes on spherical crown
    Fig. 3. Eigenmodes on spherical crown
    Infinite norm of fitting error
    Fig. 4. Infinite norm of fitting error
    2-norm of fitting error
    Fig. 5. 2-norm of fitting error
    Circular mirror
    Fig. 6. Circular mirror
    Hexagonal mirror
    Fig. 7. Hexagonal mirror
    Model physical field
    Fig. 8. Model physical field
    Zernike optimization results
    Fig. 9. Zernike optimization results
    Eigenmode optimization results
    Fig. 10. Eigenmode optimization results
    Zernike optimized stability
    Fig. 11. Zernike optimized stability
    Eigenmode optimized stability
    Fig. 12. Eigenmode optimized stability
    Eigenmodes on a hexagon paraboloid
    Fig. 13. Eigenmodes on a hexagon paraboloid
    Hexagonal mirror optimization results
    Fig. 14. Hexagonal mirror optimization results
    AssessmentZernikeEigenmode
    Initial valueFinal valueFinal value /Initial valueInitial valueFinal valueFinal value /Initial value
    Piston-5.0180×10-5-2.2215×10-64.43%5.0162×10-52.2073×10-64.40%
    RMS /m8.72783×10-52.22737×10-62.55%8.72783×10-53.84229×10-64.40%
    PV /m6.45×10-65.63×10-78.73%6.45×10-66.78×10-710.51%
    Volume fraction0.30.20.30.2
    Table 1. Values before and after optimization
    Yufeng Tang, Yincheng Shi, Wenli Li, Yisheng Chen, Chong Wang, Zhenyu Liu. Conformal Orthogonal Basis for Topology Optimization of Mirror Support Structures[J]. Acta Optica Sinica, 2023, 43(13): 1320002
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