Dwell Time Algorithm for Large Aperture Optical Element in Magnetorheological Finishing

Li Longxiang; Deng Weijie; Zhang Binzhi; Bai Yang; Zheng Ligong; Zhang Xuejun

doi:10.3788/aos201434.0522001

[1] D C Harris. History of magnetorheological finishing [C]. SPIE, 2011, 8016: 80160N.

[2] S D Jacobs, D Golini, Y Hsu, et al.. Magnetorheological finishing: a deterministic process for optics manufacturing [C]. SPIE, 1995, 2576: 372-382.

[3] A B Shorey, W Kordonski, M Tricard. Magnetorheological finishing of large and lightweight optics [C]. SPIE, 2004, 5533: 99-107.

[4] Dai Yifan, Shi Feng, Peng Xiaoqiang, et al.. Deterministic figuring in optical machining by magnetorheological finishing [J]. Acta Optica Sinica, 2010, 30(1): 198-205.

[5] Shi Chunyan, Yuan Jiahu, Wu Fan, et al.. Research of errors analysis and material removal stability in fluid jet polishing [J]. Acta Optica Sinica, 2011, 31(1): 0112012.

[6] Zhang Feng, Deng Weijie. Magnetic-medium assistant polishing of silicon modification layer on silicon carbide surface [J]. Acta Optica Sinica, 2012, 32(11): 1116001.

[7] Zhao Xianyun, Fan Bin, Zeng Zhige, et al.. Design simulation and opitmization for the flexible displacement support structure based on Φ1.8 m lightweight reflector [J]. Acta Optica Sinica, 2012, 32(3): 0322002.

[8] Wu Jianfen, Lu Zhenwu, Zhang Hongxin, et al.. Optimized dwell time solution for optics in ion beam figuring [J]. Acta Optica Sinica, 2010, 30(1): 192-197.

[9] Luo Lili, He Jianguo, Wang Yajun, et al.. Large-scale dwell time algorithm for computer controlled optical surfacing [J]. High Power Laser and Particle Beams, 2011, 23(12): 3207-3212.

[10] Li Shengyi, Dai Yifan. New Technology for Manufacturing and Measurement of Large and Middle-Scale Aspheric Surfaces [M]. Beijing: National Defence Industry Press, 2011. 51-67.

[11] C L Charles, C M Egert, K W Hylton, et al.. Advanced matrix-based algorithm for ion beam milling of optical components [C]. SPIE, 1992, 1752. 54-62.

[12] Deng Weijie, Zheng Ligong, Shi Yali, et al.. Dwell time algorithm based on matrix algebra and regularization method [J]. Optical and Precision Engineering, 2007, 15(7): 1009-1015.

[13] D Kim, S Sra, I S Dhillon. A non-monotonic method for large-scale non-negative least squares [J]. Optimization Methods & Software, 2013, 28(5): 1012-1039.

[14] G H Golub, P C Hansen, D P O′Leary. Tikhonov regularization and total least squares [J]. SIAM J Matrix Anal Appl, 1999, 21(1): 185-194.

[15] P C Hansen. The use of the L-curve in the regularization of discrete III posed problems [J] . SIAM J Sci Comput, 1993, 14(6): 1487-1503.

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