Chen Yi-Cheng, Huang Bo-Kai, You Zhen-Ting, Chan Chia-Yen, Huang Ting-Ming
Appl Opt. 2016 Dec 20;55(36):10382-10391. doi: 10.1364/AO.55.010382.
This article presents an optimization process for integrated optomechanical design. The proposed optimization process for integrated optomechanical design comprises computer-aided drafting, finite element analysis (FEA), optomechanical transfer codes, and an optimization solver. The FEA was conducted to determine mirror surface deformation; then, deformed surface nodal data were transferred into Zernike polynomials through MATLAB optomechanical transfer codes to calculate the resulting optical path difference (OPD) and optical aberrations. To achieve an optimum design, the optimization iterations of the FEA, optomechanical transfer codes, and optimization solver were automatically connected through a self-developed Tcl script. Two examples of optimization design were illustrated in this research, namely, an optimum lightweight design of a Zerodur primary mirror with an outer diameter of 566 mm that is used in a spaceborne telescope and an optimum bipod flexure design that supports the optimum lightweight primary mirror. Finally, optimum designs were successfully accomplished in both examples, achieving a minimum peak-to-valley (PV) value for the OPD of the deformed optical surface. The simulated optimization results showed that (1) the lightweight ratio of the primary mirror increased from 56% to 66%; and (2) the PV value of the mirror supported by optimum bipod flexures in the horizontal position effectively decreased from 228 to 61 nm.
本文介绍了一种集成光机设计的优化过程。所提出的集成光机设计优化过程包括计算机辅助绘图、有限元分析（FEA）、光机传递代码和一个优化求解器。进行有限元分析以确定镜面变形；然后，通过MATLAB光机传递代码将变形表面节点数据转换为泽尼克多项式，以计算由此产生的光程差（OPD）和光学像差。为了实现优化设计，通过自行开发的Tcl脚本自动连接有限元分析、光机传递代码和优化求解器的优化迭代。本研究给出了两个优化设计实例，即用于星载望远镜的外径为566 mm的零膨胀玻璃主镜的最佳轻量化设计，以及支撑最佳轻量化主镜的最佳双足柔性支撑设计。最后，两个实例均成功完成了优化设计，使变形光学表面的光程差的最小峰谷（PV）值达到了最小。模拟优化结果表明：（1）主镜的轻量化率从56%提高到66%；（2）在水平位置由最佳双足柔性支撑支撑的镜子的PV值有效地从228 nm降低到61 nm。
