Modeling and Analysis of Uncertainty in Seeker Optical System Assembly and Robust Optimization of Assembly Process Parameters

XUE Fenqi; HE Fang; GONG Hao; LIU Jianhua; ZHU Rongquan; WANG Caifeng; HU Bingyang

doi:10.12382/bgxb.2025.0053

您当前的位置：

首页 >

文章列表页 >

Modeling and Analysis of Uncertainty in Seeker Optical System Assembly and Robust Optimization of Assembly Process Parameters

更新时间：2026-04-24

- Modeling and Analysis of Uncertainty in Seeker Optical System Assembly and Robust Optimization of Assembly Process Parameters
- Acta Armamentarii Vol. 47, Issue 2, Pages: 250053(2026)
- 作者机构：
  
  北京理工大学机械与车辆学院，北京 100081
  北京遥感信息研究所，北京 100193
  北京理工大学唐山研究院，河北唐山 063015
  河北省智能装配与检测技术重点实验室，河北唐山 063015
  北京遥感设备研究所，北京 100854
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2025.0053
  CLC： TJ765.4
- Received：14 January 2025，
  
  Online First：25 December 2025，
  
  Published：28 February 2026
- 稿件说明：
移动端阅览
XUE Fenqi, HE Fang, GONG Hao, et al. Modeling and Analysis of Uncertainty in Seeker Optical System Assembly and Robust Optimization of Assembly Process Parameters[J]. Acta Armamentarii, 2026, 47(2): 250053.
DOI：

XUE Fenqi, HE Fang, GONG Hao, et al. Modeling and Analysis of Uncertainty in Seeker Optical System Assembly and Robust Optimization of Assembly Process Parameters[J]. Acta Armamentarii, 2026, 47(2): 250053. DOI： 10.12382/bgxb.2025.0053.

摘要

两反式光学系统广泛应用于空间遥感、探测制导等领域，其成像质量是光学系统的核心指标，不仅依赖光学器件的制造精度，而且很大程度上受装配精度的影响。在实际工程中，光学系统装配后的成像质量很容易受到界面条件、装配位姿偏差等多源不确定性因素的影响，即使相同的装配工艺参数也可能导致成像质量出现偏差。为此，提出一种两反式光学系统装配与成像的联合仿真方法，以能量集中度作为成像质量定量评价指标，辨识光学系统装配过程中的不确定性参数并进行不确定性度量，根据参数特点选择合理的采样方法，通过联合仿真方法得到不同装配误差条件下的光学系统成像质量数据。建立基于Matern5/2核函数的高斯过程回归（Gaussian Process Re-gression，GPR）拧紧力矩指向性代理模型，以及结合贝叶斯优化和蒙特卡洛模拟（Bayesian Optimiza-tion-Monte Carlo Simulation，BO-MCS）的不确定性优化算法，基于构建的原始数据集，实现光学系统装配不确定性建模分析与装配工艺参数鲁棒性优化。研究结果表明：与其他代理模型相比，所建立的GPR代理模型具有最小的成像质量预测误差（平均预测误差仅有1.95%）；优化后的光学系统成像质量平均提升6.13%，波动半径平均减少14.05%，有效提高了光学系统装配后的成像质量一致性。

Abstract

The two-mirror optical system is widely used in fields such as space remote sensing

detection and guidance. The imaging quality

as a core performance indicator of optical systems

depends not only on the manufacturing accuracy of optical components but also significantly on the assembly precision. In practical engineering applications

the imaging quality of optical system after assembly is highly susceptible to multi-source uncertainty factors

such as interface conditions and assembly pose deviations. These factors can result in imaging quality deviations even when the identical assembly process parameters are applied. To address this issue

a joint simulation method for the assembly and imaging of two-mirror optical system is proposed

with energy concentration being used as a quantitative evaluation index for imaging quality. This method is used to identify and quantify the uncertainty parameters in the process of optical system assembly

and the appropriate sampling methods are chosen based on parameter characteristics. The imaging quality data under various assembly error conditions is generated through joint simulations. A Gaussian process regression(GPR)torque-directionality surrogate model based on the Matern 5/2 kernel function is constructed

and a Bayesian optimization-Monte Carlo simulation(BO-MCS)uncertainty optimization algorithm is presented. The uncertainty modeling of optical system assembly and the robust optimization of assembly process parameters are achieved by leveraging the developed dataset. The results show that the proposed GPR surrogate model outperforms other models with the lowest imaging quality prediction error(an average prediction error of only 1.95%). Additionally

the optimized assembly process parameters improve the average imaging quality of the optical system by 6.13% and reduce the fluctuation radius by 14.05%

significantly enhancing the consistency of imaging quality after assembly.

关键词

Keywords

references

王成,王卫国,孟晨,等.考虑弹体旋转情况下的四元红外探测系统仿真[J].兵工学报, 2024, 45(7): 2218-2227.

WANG C, WANG W G, MENG C, et al. Simulation of four-element infrared detection system considering missile spinning[J]. Acta Armamentarii, 2024, 45(7): 2218-2227. (in Chinese)

吴伟.面向两反式光学系统精密装配的失调状态估计方法研究[D].长沙：国防科技大学, 2021.

WU W. Research on the misalignment computation method for precision assembly of dual-mirror optical systems[D]. Changsha:National University of Defense Technology, 2021. (in Chinese)

田继文,朴燕.基于波像差法的物镜成像系统设计[J].兵工学报, 2022, 43(增刊1): 60-65.

TIAN J W, PIAO Y. Design of object lens imaging system based on wave aberration method[J]. Acta Armamentarii, 2022, 43 (S1): 60-65. (in Chinese)

PINILLA S, FRÖCH J E, ROSTAMI S R M, et al. Miniature color camera via flat hybrid meta-optics[J]. Science advances, 2023, 9(21): 7297.

HUANG L C, HAN Z Y, WIRTH-SINGH A, et al. Broadband thermal imaging using meta-optics[J]. Nature Communications, 2024, 15(1): 1662.

许乔,陈贤华,汪圣飞,等.高功率激光光学元件超精密制造技术[J].光学学报,2022,42(17):203-221.

XU Q, CHEN X H, WANG S F, et al. Ultra-precision manufacturing technology of high power laser optics[J]. Acta Optica Sinica, 2022, 42(17): 203-221.

XU W, XU W H, BOUET N, et al. Micromachined silicon platform for precise assembly of 2D multilayer laue lenses for high-resolution X-ray microscopy[J]. Micromachines, 2020, 11(10) :939.

陈春奇.主次镜光学系统面形误差补偿机理与装配精度分析技术研究[D].长沙：国防科技大学, 2020.

CHEN C Q. Research on surface error compensation mechanism and assembly accuracy analysis technology of primary and secondary mirror optical system[D]. Changsha: National University of Defense Technology, 2020. (in Chinese)

李信磊.复杂曲面铝反射镜磁流变抛光关键技术研究[D].长沙：国防科技大学, 2018.

LI X L. Study on the key techniques of magnetorheological finishing for aluminum mirrors with complex surface[D]. Changsha:National University of Defense Technology, 2018. (in Chinese)

LI Y W, LUO Y, WANG X D. An inspection technique using fit clearance based on microscopic vision in precision assembly[J]. Micromachines, 2023, 14(10): 1852.

WANG X J, GONG H, LIU J H, et al. Imaging quality prediction and preload optimization for a precision optical system considering assembly errors[J]. Physica Scripta, 2024, 99 (12): 126011.

周双,刘子建.光学系统装配误差分析及装调路径优选[J].机械设计与制造, 2022, 371(1): 159-163, 167.

ZHOU S, LIU Z J. The assembly error analysis of optical system and path optimization of alignment[J]. Machinery Design & Manufacture, 2022, 371(1): 159-163, 167. (in Chinese)

郭攀,周军,丁晓宇,等.基于矢量波像差理论的两反系统装配失调解算方法[J].光学学报, 2019, 39(7): 319-327.

GUO P, ZHOU J, DING X Y, et al. Method to solve assembly misalignment of two-reverse system based on vector wave aberration theory[J]. Acta Optica Sinica, 2019, 39(7) : 319-327. (in Chinese)

李桂华,王辉,熊召,等.大口径传输反射镜在装配紧固力下的面形误差分析[J].中国机械工程, 2015, 26(9): 1173-1178.

LI G H, WANG H, XIONG Z, et al. Surface error analysis of large reflecting mirror under assembly fastening forces[J]. China Mechanical Engineering, 2015, 26 (9): 1173-1178. (in Chinese)

张向明,王中强,昌明,等.一种30倍连续变焦电视光学系统装调技术研究[J].光电工程, 2019, 46(4): 67-73.

ZHANG X M, WANG Z Q, CHANG M, et al. Research on a 30 times ratio continuous zoom television optical system adjustment technology[J]. Opto-Electronic Engineering, 2019, 46 (4):67-73. (in Chinese)

BLOMQUIST S, CHOI H, KANG H, et al. Alignment of three mirror anastigmat telescopes using a multilayered stochastic parallel gradient descent algorithm[J]. Proceedings of SPIE, 2024: 13134: 144-150.

罗靓.考虑不确定性的减速器抗疲劳轻量化优化设计研究[D].株洲：湖南工业大学, 2023.

LUO L. Research on fatigue-resistant lightweight optimization design of reducer considering uncertainties[D]. Zhuzhou:Hunan University of Technology, 2023. (in Chinese)

王钧莹.航空发动机压气机不确定性量化及设计方法研究[D].北京：清华大学, 2022.

WANG J Y. Research on uncertainty quantification and design method of Aero-Engine compressors[D]. Beijing: Tsinghua University, 2022. (in Chinese)

李涛.考虑结合部特性的航发转子动态性能分析及装配工艺优化[D].大连：大连理工大学, 2021.

LI T. Dynamic performance analysis and assembly process optimization of aeroengine rotor considering joint characteristics[D]. Dalian: Dalian University of Technology, 2021. (in Chinese)

WANG K, LIU J H, GONG H, et al. Robust optimization design for sealing performance of globe-cone joint considering manufacturing and assembly uncertainties[J]. Structural and Multidisciplinary Optimization, 2023, 66(4): 92.

SHEN X M, SHAO R J, MA S D, et al. Analysis and suppression of hybrid errors in snapshot diffractive computational spectral imaging[J]. Acta Optica Sinica, 2024, 44 (19):1911003.

蒙象华.结构随机不确定性正反向传播方法研究[D].长沙：湖南大学, 2020.

MENG X H. Researches on forward and inverse propagations of the structural random uncertainties[D]. Changsha: Hunan University, 2020. (in Chinese)

薛奋琪,巩浩,刘检华,等.两反式光学系统光机集成仿真与成像质量预测代理模型构建[J].兵工学报,2025, 46(3):240278.

XUE F Q, GONG H, LIU J H, et al. Methods of integrated optomechanical simulation and construction of surrogate model for imaging quality prediction in dual-mirror optical systems[J]. Acta Armamentarii, 2025, 46(3):240278. (in Chinese)

NIU K, TIAN C. Zernike polynomials and their applications[J]. Journal of Optics, 2022, 24(12): 123001.

FUKUOKA T, NOMURA M. Proposition of helical thread modeling with accurate geometry and finite element analysis[J]. Journal of Pressure Vessel Technology, 2008, 130(1): 011201.

LIU J H, GONG H, DING X Y. Calculation of the effective bearing contact radius for precision tightening of bolted joints[J]. Advances in Mechanical Engineering, 2016, 8(9) : 1-8.

李晓曼,胡斌,何嘉亮,等.点目标成像红外遥感器探测信噪比测试研究[J].红外与激光工程, 2022, 51(8): 260-265.

LIXM, HU B, HE JL, et al. Study of testing the detecting SNR of point target imaging infrared remote sensing systems[J]. Infrared and Laser Engineering, 2022, 51(8): 260-265. (in Chinese)

Views

下载量

CNKI被引量

Alert me when the article has been cited

提交

Tools

Publicity Resources

Integrated Optomechanical Simulation and Surrogate Model Construction for Imaging Quality Prediction of Two-mirror Optical System

A Dynamic Model of Interval Uncertainty of Rotational Chain Shell Magazine

Robust Trajectory Tracking Control of Unmanned Tracked Vehicles Considering Preview Compensation

Prediction Model of Concrete Penetration Depth Based on Unbiased Feature Selection

Related Author

HU Bingyang

WANG Caifeng

ZHU Rongquan

LIU Jianhua

GONG Hao

HE Fang

XUE Fenqi

Jingting LEI

Related Institution

Beijing Institute of Remote Sensing Information

Tangshan Research Institute, Beijing Institute of Technology

National Key Laboratory of Transient Physics, Nanjing University of Science and Technology

School of Mechanical Engineering, Nanjing University of Science and Technology

Inner Mongolia First Machinery Group Co., Ltd.

Postal code：100089
Tel：010-68963060/68962718 Fax：010-68963025 Email：bgxb@cos.org.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备05059581号-4 京公网安备11010802024360号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.
Total Visits：119050 Visits Today：37

⁰