Abstract
A rigid conformal (RC) lap can smooth mid-spatial-frequency (MSF) errors, which are naturally smaller than the tool size, while still removing large-scale errors in a short time. However, the RC-lap smoothing efficiency performance is poorer than expected, and existing smoothing models cannot explicitly specify the methods to improve this efficiency. We presented an explicit time-dependent smoothing evaluation model that contained specific smoothing parameters directly derived from the parametric smoothing model and the Preston equation. Based on the time-dependent model, we proposed a strategy to improve the RC-lap smoothing efficiency, which incorporated the theoretical model, tool optimization, and efficiency limit determination. Two sets of smoothing experiments were performed to demonstrate the smoothing efficiency achieved using the time-dependent smoothing model. A high, theory-like tool influence function and a limiting tool speed of 300 RPM were o
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References
J. Nelson and G. H. Sanders, “The status of the thirty meter telescope project,” SPIE, 2008, 7012: 70121A-1-70121A-18.
M. Johns, P. Mccarthy, K. Raybould, A. Bouchez, A. Farahani, J. Filgueira, et al., “Giant magellan telescope: overview,” SPIE, 2012, 8444: 84441H-1-84441H-16.
T. Hull, M. J. Riso, J. M. Barentine, and A. Magruder, “Mid-spatial frequency matters: examples of the control of the power spectral density and what that means to the performance of imaging systems,” SPIE, 2012, 8353: 835329-1-835329-17.
D. W. Kim and J. H. Burge, “Rigid conformal polishing tool using non-linear visco-elastic effect,” Optics Express, 2010, 18(3): 2242–2257.
H. M. Martin, D. S. Anderson, J. R. P. Angel, R. H. Nagel, S. C. West, and R. S. Young, “Progress in the stressed-lap polishing of a 1.8-mf/1 mirror,” SPIE, 1990, 1236: 682–690.
J. H. Burge, B. Anderson, S. Benjamin, M. K. Cho, K. Z. Smith, and M. J. Valente, “Development of optimal grinding and polishing tools for aspheric surfaces,” SPIE, 1990, 4451: 153–164.
Y. Shu, X. Nie, F. Shi, and S. Li, “Compare study between smoothing efficiencies of epicyclic motion and orbital motion,” Optik - International Journal for Light and Electron Optics, 2014, 125(16): 4441–4445.
N. J. Brown, P. C. Baker, and R. E. Parks, “Polishing-to-figuring transition in turned optics,” Contemporary Methods of Optical Fabrication, 1981, 306(6): 58–65.
R. A. Jones, “Computer simulation of smoothing during computer-controlled optical polishing,” Applied Optics, 1995, 34(7): 1162–1169.
P. K. Mehta and P. B. Reid, “Mathematical model for optical smoothing prediction of high-spatial- frequency surface errors,” SPIE, 1999, 3786: 447–459.
M. T. Tuell, J. H. Burge, and B. Anderson. “Aspheric optics: Smoothing the ripples with semi-flexible tools,” Optical Engineering, 2002, 15(2): 1473–1474.
D. W. Kim, W. H. Park, H. K. An, and J. H. Burge, “Parametric smoothing model for visco-elastic polishing tools,” Optics Express, 2010, 18(21): 22515–22526.
Y. Shu, D. W. Kim, H. M. Martin, and J. H. Burge, “Correlation-based smoothing model for optical polishing,” Optics Express, 2013, 21(23): 28771–28782.
Y. Shu, X. Nie, F. Shi, and S. Li, “Smoothing evolution model for computer controlled optical surfacing,” Journal of Optical Technology, 2014, 81(3): 164–167.
X. Nie, S. Li, F. Shi, and H. Hu, “Generalized numerical pressure distribution model for smoothing polishing of irregular midspatial frequency errors,” Applied Optics, 2014, 53(6): 1020–1027.
A. C. Fischer-Cripps, “Multiple-frequency dynamic nanoindentation testing,” Journal of Materials Research, 2004, 19(19): 2981–2988.
J. H. Burge, D. W. Kim, and H. M. Martin, “Process optimization for polishing large aspheric mirrors,” SPIE, 2014, 9151: 91512R-1-91512R-13.
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This research is financially supported by the National Natural Science of China (NSFC) (61210015) and Youth Foundation of National Natural Science Foundation (61605202).
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Song, C., Zhang, X., Zhang, X. et al. Improving smoothing efficiency of rigid conformal polishing tool using time-dependent smoothing evaluation model. Photonic Sens 7, 171–181 (2017). https://doi.org/10.1007/s13320-017-0400-x
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DOI: https://doi.org/10.1007/s13320-017-0400-x