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基于克里金代理模型的拓扑优化算法在航空相机反射镜设计与优化中的应用

The Application of a Topology Optimization Algorithm Based on the Kriging Surrogate Model in the Mirror Design and Optimization of an Aerial Camera.

作者信息

Zhao Yubo, Li Lei

机构信息

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.

出版信息

Sensors (Basel). 2023 Aug 17;23(16):7236. doi: 10.3390/s23167236.

DOI:10.3390/s23167236
PMID:37631772
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10457911/
Abstract

In a Cassegrain optical system, the surface precision of the primary mirror is an important factor in the quality of the image. The design of a lightweight primary mirror with a high-quality optical surface is crucial. In this thesis, an integrated mirror light engine design optimization process is proposed for an aviation optoelectronic device. It is based on the Kriging surrogate model and nests the topology optimization algorithm, which constructs the mirror RMS value response surface and obtains the dominant relationship between mirror structure and surface accuracy. The optimal surface figure lightweight structure of the mirror is obtained by optimizing the surrogate model with an additive criterion and multi-objective optimization analysis. The root mean square value (RMS) of the corresponding primary mirror is 10.41 nm, which is better than 1/40 λ (λ = 632.8 nm). This meets the optical design specifications. The optimal primary mirror structure is analyzed by using the finite element method, which verifies the precision of the Kriging surrogate model. It has an error of 0.28%. The kinetic analysis of the primary mirror shows that the primary mirror does not yield to plastic deformation or even failure under a three-way 20 g acceleration load. This meets the environmental suitability requirements.

摘要

在卡塞格伦光学系统中,主镜的表面精度是影响图像质量的重要因素。设计具有高质量光学表面的轻质主镜至关重要。本文针对某航空光电器件提出了一种集成镜光引擎设计优化流程。该流程基于克里金代理模型并嵌套拓扑优化算法,构建镜均方根值响应面,得出镜结构与表面精度之间的主导关系。通过采用附加准则和多目标优化分析对代理模型进行优化,得到了镜的最优表面形状轻质结构。相应主镜的均方根值(RMS)为10.41 nm,优于1/40 λ(λ = 632.8 nm)。这满足了光学设计规格要求。采用有限元方法对优化后的主镜结构进行分析,验证了克里金代理模型的精度,其误差为0.28%。主镜的动力学分析表明,在三向20 g加速度载荷下,主镜不会产生塑性变形甚至失效。这满足了环境适应性要求。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/0831012cd081/sensors-23-07236-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/93d602b44cc5/sensors-23-07236-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/ebbbdc933d75/sensors-23-07236-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/2b2ee0da27bd/sensors-23-07236-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/0831012cd081/sensors-23-07236-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/93d602b44cc5/sensors-23-07236-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/ebbbdc933d75/sensors-23-07236-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/2b2ee0da27bd/sensors-23-07236-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b1e/10457911/0831012cd081/sensors-23-07236-g004.jpg

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本文引用的文献

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Appl Opt. 2014 Dec 10;53(35):8318-25. doi: 10.1364/AO.53.008318.