Lens surface parameters are critical to optical system performance and require increasingly stringent precision due to rising performance demands and continued technological miniaturization. Although machining processes such as diamond turning can produce lenses with high form accuracy, they are not free from surface defects. These defects are typically addressed through post-processing techniques such as polishing; however, depending on defect size and the selected removal process, polishing can become a complex and iterative task. This complexity can be mitigated through the application of machine learning algorithms to predict material removal behavior. This paper presents the development of a material removal prediction framework for ball elastic emission machining (EEM) polishing of lens surfaces, incorporating machine learning tools to improve process predictability and efficiency. The resulting model accepts surface characteristics and process parameters as inputs and predicts the final surface parameters following polishing. The model’s root mean square error (RMSE) is approximately 0.1 μm. Surface parameters achieved using the removal strategy on which this model is based include a peak-to-valley (PV) value of 0.2841 μm and a root mean square (RMS) roughness of 0.032 μm.
References
[1]
Enoch, J.M. (2009) The Fascinating Early History of Optics! Archaeological Optics 2009: Our Knowledge of the Early History of Lenses, Mirrors, and Artificial Eyes! Proceedings of the Society of Photo-Optical Instrumentation Engineers, 7428. https://doi.org/10.1117/12.828453
[2]
Sreekanth, K.V., Prabhathan, P., Chaturvedi, A., Lekina, Y., Han, S., Zexiang, S., et al. (2022) Wide‐Angle Tunable Critical Coupling in Nanophotonic Optical Coatings with Low‐Loss Phase Change Material. Small, 18, Article 2202005. https://doi.org/10.1002/smll.202202005
[3]
Yuan, W., Li, L., Lee, W. and Chan, C. (2018) Fabrication of Microlens Array and Its Application: A Review. ChineseJournalofMechanicalEngineering, 31, Article No. 16. https://doi.org/10.1186/s10033-018-0204-y
[4]
Abou-El-Hossein, K., Kadirgama, K., Kadernani, M., Chikamhi, P. and Oyekunle, F.A. (2023) Surface Roughness in Ultra-High Precision Diamond Turning of Silicone Hydrogel Contact Lenses. MaterialsScienceForum, 1099, 21-25. https://doi.org/10.4028/p-u4cahs
[5]
He, C.L., Zhang, J.G., Ren, C.Z., Wang, S.Q. and Cao, Z.M. (2022) Characteristics of Cutting Force and Surface Finish in Diamond Turning of Polycrystalline Copper Achieved by Friction Stir Processing (FSP). JournalofMaterialsProcessingTechnology, 301, Article 117451. https://doi.org/10.1016/j.jmatprotec.2021.117451
[6]
Keskinbora, K., Grévent, C., Hirscher, M., Weigand, M. and Schütz, G. (2015) Single‐step 3D Nanofabrication of Kinoform Optics via Gray‐Scale Focused Ion Beam Lithography for Efficient X‐Ray Focusing. AdvancedOpticalMaterials, 3, 792-800. https://doi.org/10.1002/adom.201400411
[7]
Ma, W., Li, J. and Hou, X. (2023) Rolling Model Analysis of Material Removal in Elastic Emission Machining. International Journal of Mechanical Sciences, 258, Article 108572. https://doi.org/10.1016/j.ijmecsci.2023.108572
[8]
Ma, W., Li, J. and Hou, X. (2024) Profile Prediction and Analysis in Active Controlled Elastic Emission Machining. InternationalJournalofMechanicalSciences, 275, Article 109274. https://doi.org/10.1016/j.ijmecsci.2024.109274
[9]
Zhao, J., Wang, W., Qiu, X., Wang, Z. and Fan, C. (2025) Material Removal Profile Model Simulations and Experiments on the Non-Contact Shear Thickening Polishing of K9 Glass. JournalofManufacturingProcesses, 134, 435-451. https://doi.org/10.1016/j.jmapro.2024.12.055
[10]
Wang, Z., Zhao, Y., Yao, J., Yu, T., Qu, S. and Zhao, J. (2024) The Investigation of Graphene Oxide-Enhanced Hybrid Slurry Preparation and Its Polishing Characteristic on CVD Single Crystal Diamond. Materials, 17, Article 6053. https://doi.org/10.3390/ma17246053
[11]
Zhou, D., Li, X., Huang, X. and Ming, Y. (2023) Theoretical and Experimental Investigations on Material Removal Characteristics of Small-Diameter Aspherical Silicon Carbide Mould with Weak Magnetization-Enhanced Force-Rheological Polishing. TribologyInternational, 179, Article 108106. https://doi.org/10.1016/j.triboint.2022.108106
[12]
Zhang, P., Jing, Z., Goel, S., Hou, X., Wang, C., Cheung, C.F., et al. (2024) Theoretical and Experimental Investigations on Conformal Polishing of Microstructured Surfaces. InternationalJournalofMechanicalSciences, 268, Article 109050. https://doi.org/10.1016/j.ijmecsci.2024.109050
[13]
Yang, T., Liu, C., Chen, T., Shao, M., Jiang, C., Lu, C., et al. (2023) Parameter Optimization of RB-SIC Polishing by Femtosecond Laser. Materials, 16, Article 1582. https://doi.org/10.3390/ma16041582
[14]
Zhao, J., Ge, J., Khudoley, A. and Chen, H. (2024) Numerical and Experimental Investigation on the Material Removal Profile during Polishing of Inner Surfaces Using an Abrasive Rotating Jet. TribologyInternational, 191, Article 109125. https://doi.org/10.1016/j.triboint.2023.109125
[15]
Mushtaq, R.T., Wang, Y., Bao, C., Chen, X., Anwar, S., Sharma, S., et al. (2024) Multi-objective Optimization of Laser Polishing Parameters for Enhanced Mechanical Properties, Sustainability, and Surface Finish of 3D-Printed Industrial ABS Polymers Using Response Surface Methodology (RSM). JournalofMaterialsResearchandTechnology, 29, 3168-3184. https://doi.org/10.1016/j.jmrt.2024.02.023
[16]
Fan, C., Liu, K., Chen, Y., Xue, Y., Zhao, J. and Khudoley, A. (2022) A New Modelling Method of Material Removal Profile for Electrorheological Polishing with a Mini Annular Integrated Electrode. JournalofMaterialsProcessingTechnology, 305, Article 117589. https://doi.org/10.1016/j.jmatprotec.2022.117589
[17]
Schneckenburger, M., Höfler, S., Garcia, L., Almeida, R. and Börret, R. (2021) Material Removal Predictions in the Robot Glass Polishing Process Using Machine Learning. SNAppliedSciences, 4, Article No. 33. https://doi.org/10.1007/s42452-021-04916-7
[18]
Zhu, C., Gu, P., Wu, Y., Liu, D. and Wang, X. (2019) Surface Roughness Prediction Model of SiCp/Al Composite in Grinding. InternationalJournalofMechanicalSciences, 155, 98-109. https://doi.org/10.1016/j.ijmecsci.2019.02.025
[19]
Zhelyeznyakov, M., Fröch, J., Wirth-Singh, A., Noh, J., Rho, J., Brunton, S., et al. (2023) Large Area Optimization of Meta-Lens via Data-Free Machine Learning. CommunicationsEngineering, 2, Article No. 60. https://doi.org/10.1038/s44172-023-00107-x
[20]
Prabuwono, A.S., Besari, A.R.A., Zamri, R., Md Palil, M.D. and Taufik, (2011) Surface Defects Classification Using Artificial Neural Networks in Vision Based Polishing Robot. In: Jeschke, S., Liu, H. and Schilberg, D., Eds., LectureNotesinComputerScience, Springer, 599-608. https://doi.org/10.1007/978-3-642-25489-5_58
[21]
Zhou, T., Gao, L., Yu, Q., Wang, G., Zhou, Z., Yan, T., et al. (2024) Machine Learning for Aspherical Lens Form Accuracy Improvement in Precision Molding of Infrared Chalcogenide Glass. PrecisionEngineering, 90, 156-163. https://doi.org/10.1016/j.precisioneng.2024.08.007
[22]
Guymon, J. (2023) Nanometer Level Surface Correction for Fine Optics. Ph.D. Thesis, North Carolina State University. https://www.lib.ncsu.edu/resolver/1840.20/41136