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

doi:10.3788/gzxb20204906.0622001

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	Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model
	Y.-C. Shi,H.-D. Yan,P. Gong,T. Liu,Q.-L. Wang,L.-C. Cheng,J. Deng and Z.-Y. Liu
	2020
发表期刊	Guangzi Xuebao/Acta Photonica Sinica
ISSN	10044213
卷号	49 期号:6
摘要	In this paper, the Zernike polynomials are used to describe deformed optical surfaces. Using the adjoint method, the sensitivities of Zernike polynomials to design variables can be derived. This procedure effectively overcomes the bottleneck of computational cost in sensitivity analysis when using the finite difference method. Therefore, the topology optimization models, which usually have thousand or tens of thousands of design variables, can be implemented by using the objectives and design constraints directly based on Zernike coefficients. Meanwhile, within the frame of numerical finite element discretization, adaptive finite element basis functions and element numerical integrals can be implemented to solve structural deformation and Zernike coefficients accurately and efficiently. This algorithm is flexible to be applied to general structural topology optimization models with objectives or constraints being a reasonable linear combination of Zernike coefficients. The numerical examples illustrate that the algorithm can optimize Zernike coefficients effectively. 2020, Science Press. All right reserved.
DOI	10.3788/gzxb20204906.0622001
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收录类别	EI
引用统计
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/64969
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	Y.-C. Shi,H.-D. Yan,P. Gong,T. Liu,Q.-L. Wang,L.-C. Cheng,J. Deng and Z.-Y. Liu. Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model[J]. Guangzi Xuebao/Acta Photonica Sinica,2020,49(6).
APA	Y.-C. Shi,H.-D. Yan,P. Gong,T. Liu,Q.-L. Wang,L.-C. Cheng,J. Deng and Z.-Y. Liu.(2020).Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model.Guangzi Xuebao/Acta Photonica Sinica,49(6).
MLA	Y.-C. Shi,H.-D. Yan,P. Gong,T. Liu,Q.-L. Wang,L.-C. Cheng,J. Deng and Z.-Y. Liu."Topology Optimization Design Method for Supporting Structures of Optical Reflective Mirrors Based on Zernike Coefficient Optimization Model".Guangzi Xuebao/Acta Photonica Sinica 49.6(2020).

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