Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model

Yin-cheng SHI; Huai-de YAN; Peng GONG; Tao LIU; Qiang-long WANG; Lu-chao CHENG; Jian DENG; Zhen-yu LIU

doi:10.3788/gzxb20204906.0622001

[1] O SIGMUND. A 99 line topology optimization code written in Matlab. Structural and Multidisciplinary Optimization, 21, 120-127(2001).

[2] M Y WANG, Xiao-ming WANG, Dong-ming GUO. A level set method for structural topology optimization. Computer Methods in Applied Mechanics and Engineering, 192, 227-246(2003).

[3] Xiao-dong HUANG, Yi-ming XIE. Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Computational Mechanics, 43, 393(2009).

[4] Shu-tian LIU, Rui HU, Qu-hao LI. Topology optimization-based lightweight primary mirror design of a large-aperture space telescope. Applied Optics, 53, 8318-8325(2014).

[5] Rui HU, Shu-tian LIU, Qu-hao LI. Topology-optimization-based design method of flexures for mounting the primary mirror of a large-aperture space telescope. Applied Optics, 56, 4551-4560(2017).

[6] Lei WEI, Lei ZHANG, Xiao-xue GONG. Design and optimization for main support structure of a large-area off-axis three-mirror space camera. Applied Optics, 56, 1094-1100(2017).

[7] Hai HUANG, Xin-tao ZHENG, Wei-peng LI. Design and feedforward control of large-rotation two-axis scan mirror assembly with MEMS sensor integration. Chinese Journal of Aeronautics, 32, 1912-1922(2019).

[8] K S PARK, S Y CHANG, S K YOUN. Topology optimization of the primary mirror of a multi-spectral camera. Structural and Multidisciplinary Optimization, 25, 46-53(2003).

[9] K B DOYLE, V L GENBERG, G J MICHELS. Integrated optomechanical analysis(2002).

[10] ROULET M, HUGOT E, ATKINS C, et al. WFIRST OAPs'' fabrication: prototyping phase[C]. International Conference on Space OpticsICSO 2018, International Society f Optics Photonics, 2019, 11180: 111806X.

[11] Qi-yuan ZHANG, Hao-yu WANG, Peng WU. Estimating transmitted wavefronts in a broad bandwidth based on Zernike coefficients. Journal of Optics, 21, 095601(2019).

[12] R SAHU, V PATEL, S K SINGH. Structural optimization of a space mirror to selectively constrain optical aberrations. Structural and Multidisciplinary Optimization, 55, 2353-2363(2017).

[14] SHILOV G E, GUREVICH B L. Integral, measure derivative: a unified approach[M]. Courier Cpation, 2013.

[15] H KABIR, S MATIKOLAEI. Implementing an accurate generalized Gaussian Quadrature solution to find the elastic field in a homogeneous anisotropic media. Journal of the Serbian Society for Computational Mechanics, 11, 11-19(2017).

[16] K SVANBERG. The method of moving asymptotes-a new method for structural optimization. International Journal for Numerical Methods in Engineering, 24, 359-373(1987).

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