Design of a Segmented Mirror with a Global Radius of Curvature Actuation System: Contributions of Multiple Surrogates
Source abstract
Abstract
Due to fabrication difficulties, separately-polished segmented mirrors cannot meet the co-phasing surface shape error requirements in the segmented telescope system. Applying the global radius of curvature (GRoC) actuation system for the individual segments has become an effective solution in space-based telescopes. In this paper, we designed a segmented mirror with a GRoC actuation system. The direct optimization by numerical simulations has low computational efficiency and is not easy to converge for optimizing the actuation point’s position on the segmented mirror. For this problem, three common surrogates, including polynomial response surface (PRS), radial basis function neural network (RBFNN), and kriging (KRG), were summed to propose the multiple surrogates (MS) which have the higher approximate ability. The surrogates were then optimized through the multi-island genetic algorithm (MIGA), and the segmented mirror met the design requirement. Compared with direct optimization through numerical simulations, the results show that the proposed multiple-surrogate-based optimization (MSBO) methodology saves computational cost significantly. Besides, it can be deployed to solve other complex optimization problems.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Adaptive optics and wavefront sensing · Advanced optical system design · Advanced Multi-Objective Optimization Algorithms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
University of Chinese Academy of Sciences, Beijing 100049, China
References (26)
Show source-provided references
1. Error analysis of curvature radius of segmented mirror
2. Annu, J., Padmakar, P., and Melvin, K.J. (2020). Creating a large aspheric primary mirror using spherical segments. Exp. Astron.
3. The opto-mechanical performance prediction of thin mirror segment for the E-ELT
4. Cryogenic radius of curvature matching for JWST primary mirror segments10.1117/12.845115 ↗
5. The optical metrology system for cryogenic testing of the JWST primary mirror segments10.1117/12.894582 ↗
6. Aligning and maintaining the optics for the James Webb Space Telescope(JWST) on-orbit: The wavefront sensing and control concept of operations
7. A back propagation network based optimizing model of space-based large mirror structure10.1016/j.ijleo.2018.09.161 ↗
8. Optimal design of the sealing structure of a hydraulic cylinder on the basis of a surrogated model10.1155/2020/1753964 ↗
9. A clustering-based surrogate-assisted multi-objective evolutionary algorithm for shelter location problem under uncertainty of road networks10.1109/TII.2019.2962137 ↗
10. Surrogate based optimization of functionally graded plates using radial basis functions10.1016/j.compstruct.2020.112677 ↗
11. Wang, P.H., Chen, Z.G., and Feng, Y.K. (2020). Many-objective optimization for a deep-sea aquaculture vessel based on improved RBF neural network surrogate model. J. Mar. Sci. Technol., 1–24.10.1007/s00773-020-00756-z ↗
12. Hsiao, J.C., Kumar, S., Chou, C.L., and Kam, T.Y. (2020). Shape design optimization of a robot arm using a surrogate-based evolutionary approach. Appl. Sci., 10.10.3390/app10072223 ↗
13. Multifidelity surrogate assisted rapid design of transverse-flux permanent magnet linear synchronous motor10.1109/TIE.2019.2945302 ↗
14. Robust design of an outer rotor permanent magnet motor through six-sigma methodology using response surface surrogate model10.1109/TMAG.2019.2923160 ↗
15. Design and optimization for a new compliant planar spring of upper limb assistive device using hybrid approach of RSM-FEM and MOGA10.1007/s13369-019-03795-w ↗
16. Surrogate model based design optimization of multiple wing sails considering flow interaction effect10.1016/j.oceaneng.2016.05.051 ↗
17. Zhenxu, S., Ye, Z., and Guowei, Y. (2017). Surrogate based optimization of aerodynamic noise for streamlined shape of high speed trains. Appl. Sci., 7.10.3390/app7020196 ↗
18. Buckling optimization of variable stiffness composite cylinders by using multi-fidelity surrogate models10.1016/j.tws.2020.107014 ↗
19. Reliability-based optimization of nonlinear energy sink with negative stiffness and sliding friction10.1016/j.jsv.2020.115560 ↗
20. Comparative studies of surrogate models for response analysis of mistuned bladed disks10.1142/S0219876220500127 ↗
21. Probabilistic-based combined high and low cycle fatigue assessment for turbine blades using a substructure-based kriging surrogate model10.1016/j.ast.2020.105957 ↗
22. Cross validation can estimate how well prediction variance correlates with error10.2514/1.42162 ↗
23. Performance analysis of two-stage thermoelectric generator model based on Latin hypercube sampling10.1016/j.enconman.2020.113159 ↗
24. Mark, C. Status of the James Webb space telescope (JWST). Space Telescopes and Instrumentation 2008: Optical, Infrared, and Millimeter, International Society for Optics and Photonics.
25. Pierre, Y.B. (2003). The Design and Construction of Large Optical Telescopes, Springer.
26. Liang, T., and Lu, H. (2020). A novel method based on Multi-Island Genetic Algorithm improved variational mode decomposition and multi-features for fault diagnosis of rolling bearing. Entropy, 22.10.3390/e22090995 ↗