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IJAT Vol.18 No.1 pp. 39-46
doi: 10.20965/ijat.2024.p0039
(2024)

Research Paper:

High-Precision Grinding of Thin and Large Optical Workpieces with the Kinematic Support

Takeshi Hashigaya*,†, Masaru Kino*, Keisuke Takahashi**, and Mikio Kurita*,**

*Department of Astronomy, Faculty of Science, Kyoto University
Kitashirakawa-Oiwake-cho, Sakyo-ku, Kyoto, Kyoto 606-8502, Japan

Corresponding author

**LogistLab, Inc.
Tokyo, Japan

Received:
July 14, 2023
Accepted:
November 27, 2023
Published:
January 5, 2024
Keywords:
optics, mirror, high-precision grinding, kinematic support, fixture
Abstract

In fabrication of a thin and large optical element, grinding with the conventional fixture cannot achieve high precision. When such a thin and large workpiece is tightly fixed to the grinder table, the inconsistency in the form of the contact surfaces and thermal expansion of them produce unexpected stress on the workpiece. After finishing grinding with the fixture, the deformation of the ground surface would happen, accompanied by the release of the stress. This paper proposes a stress-free fixture method by removing over-constraint from the fixture structure. Corrective grinding is executed by calculating the deformation of the workpiece due to the load of the grinding wheel. Furthermore, the fixture enables on-machine measurement by an interferometer above the grinder by replicating the same condition as when the optical element is in use. We achieved a precision of RMS 0.30 µm on a one-meter-size glass ceramic of 60 mm in thickness.

Cite this article as:
T. Hashigaya, M. Kino, K. Takahashi, and M. Kurita, “High-Precision Grinding of Thin and Large Optical Workpieces with the Kinematic Support,” Int. J. Automation Technol., Vol.18 No.1, pp. 39-46, 2024.
Data files:
References
  1. [1] J. E. Nelson, T. S. Mast, and S. M. Faber, “The design of the Keck Observatory and Telescope,” Keck Observatory Report No.90, 1985.
  2. [2] R. Gilmozzi and J. Spyromilio, “The European Extremely Large Telescope (E-ELT),” The Messenger, Vol.127, pp. 11-19, 2007.
  3. [3] M. Clampin, “The James Webb Space Telescope (JWST),” Advances in Space Research, Vol.41, No.12, pp. 1983-1991, 2008. https://doi.org/10.1016/j.asr.2008.01.010
  4. [4] M. Kurita et al., “The Seimei telescope project and technical developments,” Publications of the Astronomical Society of Japan, Vol.72, No.3, 48, 2020. https://doi.org/10.1093/pasj/psaa036
  5. [5] E. M. A. Redaelli et al., “MAORY/MORFEO at ELT: Optomechanical preliminary design,” Adaptive Optics Systems VIII (Proc. of SPIE Vol.12185), 121854Q, 2022. https://doi.org/10.1117/12.2629864
  6. [6] R.-H. M. Schmidt, “Ultra-precision engineering in lithographic exposure equipment for the semiconductor industry,” Philosophical Trans. of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol.370, No.1973, pp. 3950-3972, 2012. https://doi.org/10.1098/rsta.2011.0054
  7. [7] W. E. Barkman, “Workpiece fixturing for precision machining,” Precision Engineering, Vol.4, No.2, pp. 101-105, 1982. https://doi.org/10.1016/0141-6359(82)90029-0
  8. [8] A. R. Hedges and R. A. Parker, “Low stress, vacuum-chuck mounting techniques for the diamond machining of thin substrates,” Advances in Fabrication and Metrology for Optics and Large Optics (Proc. of SPIE Vol.966), pp. 13-18. 1989. https://doi.org/10.1117/12.948045
  9. [9] P. R. Yoder Jr., “Opto-Mechanical Systems Design,” 3rd Edition, CRC Press, 2005.
  10. [10] T. Onozaki, A. Saito, and M. Yoritsune, “Simulation of cylindrical plunge grinding processes considered successive change of workpiece shape,” Int. J. Automation Technol., Vol.5, No.3, pp. 433-438, 2011. https://doi.org/10.20965/ijat.2011.p0433
  11. [11] T. Onishi, T. Takashima, M. Sakakura, K. Sakamoto, and K. Ohashi, “Improvement of the form accuracy of a slender workpiece in cylindrical traverse grinding,” Int. J. Automation Technol., Vol.13, No.6, pp. 728-735, 2019. https://doi.org/10.20965/ijat.2019.p0728
  12. [12] C.-W. Park, D.-E. Kim, and S.-J. Lee, “Shape prediction during the cylindrical traverse grinding of a slender workpiece,” J. of Materials Processing Technology, Vol.88, Nos.1-3, pp. 23-32, 1999. https://doi.org/10.1016/S0924-0136(98)00363-X
  13. [13] T. Takashima, T. Onishi, M. Sakakura, K. Ohashi, and S. Tsukamoto, “Improvement in the Shape Error of the Long Workpiece in Cylindrical Traverse Grinding,” Proc. of the 19th Int. Symp. on Advances in Abrasive Technology (ISAAT2016), pp. 307-312, 2016.
  14. [14] N. Chiu and S. Malkin, “Computer simulation for cylindrical plunge grinding,” CIRP Annals, Vol.42, No.1, pp. 383-387, 1993. https://doi.org/10.1016/S0007-8506(07)62467-6
  15. [15] N. He, Z. Wang, C. Jiang, and B. Zhang, “Finite element method analysis and control stratagem for machining deformation of thin-walled components,” J. of Materials Processing Technology, Vol.139, Nos.1-3, pp. 332-336, 2003. https://doi.org/10.1016/S0924-0136(03)00550-8
  16. [16] J. Wang, S. Ibaraki, A. Matsubara, K. Shida, and T. Yamada, “FEM-based simulation for workpiece deformation in thin-wall milling,” Int. J. Automation Technol., Vol.9, No.2, pp. 122-128, 2015. https://doi.org/10.20965/ijat.2015.p0122
  17. [17] B. Iraninejad, J. Lubliner, T. Mast, and J. Nelson, “Mirror deformations due to thermal expansion of inserts bonded to glass,” Structural Mechanics of Optical Systems II (SPIE Proc. Vol.748), pp. 206-214, 1987. https://doi.org/10.1117/12.939832
  18. [18] W. B. Rowe, “Principles of Modern Grinding Technology,” 2nd Edition, William Andrew, 2013.
  19. [19] T. Nakajima, K. Miyoshi, H. Suzuki, H. Akizawa, and H. Kobayashi, “Study of grindactivity of wheels (2nd report),” J. of the Japan Society of Precision Engineering, Vol.44, No.524, pp. 981–987, 1978 (in Japanese). https://doi.org/10.2493/jjspe1933.44.981
  20. [20] R. A. Jones, “Optimization of computer controlled polishing,” Applied Optics, Vol.16, No.1, pp. 218-224, 1977. https://doi.org/10.1364/AO.16.000218
  21. [21] C. J. Oh et al., “Fabrication and testing of 4.2 m off-axis aspheric primary mirror of Daniel K. Inouye Solar Telescope,” Advances in Optical and Mechanical Technologies for Telescopes and Instrumentation II (Proc. of SPIE), Vol.9912, 991200, 2016. https://doi.org/10.1117/12.2229324
  22. [22] M. Kino and M. Kurita, “Interferometric testing for off-axis aspherical mirrors with computer-generated holograms,” Applied Optics, Vol.51, No.19, pp. 4291-4297, 2012. https://doi.org/10.1364/AO.51.004291

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Last updated on Apr. 22, 2024