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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 15 — May. 20, 2014
  • pp: 3213–3224

Modified dwell time optimization model and its applications in subaperture polishing

Zhichao Dong, Haobo Cheng, and Hon-Yuen Tam  »View Author Affiliations


Applied Optics, Vol. 53, Issue 15, pp. 3213-3224 (2014)
http://dx.doi.org/10.1364/AO.53.003213


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Abstract

The optimization of dwell time is an important procedure in deterministic subaperture polishing. We present a modified optimization model of dwell time by iterative and numerical method, assisted by extended surface forms and tool paths for suppressing the edge effect. Compared with discrete convolution and linear equation models, the proposed model has essential compatibility with arbitrary tool paths, multiple tool influence functions (TIFs) in one optimization, and asymmetric TIFs. The emulational fabrication of a Φ200mm workpiece by the proposed model yields a smooth, continuous, and non-negative dwell time map with a root-mean-square (RMS) convergence rate of 99.6%, and the optimization costs much less time. By the proposed model, influences of TIF size and path interval to convergence rate and polishing time are optimized, respectively, for typical low and middle spatial-frequency errors. Results show that (1) the TIF size is nonlinear inversely proportional to convergence rate and polishing time. A TIF size of 1/7 workpiece size is preferred; (2) the polishing time is less sensitive to path interval, but increasing the interval markedly reduces the convergence rate. A path interval of 1/81/10 of the TIF size is deemed to be appropriate. The proposed model is deployed on a JR-1800 and MRF-180 machine. Figuring results of Φ920mm Zerodur paraboloid and Φ100mm Zerodur plane by them yield RMS of 0.016λ and 0.013λ (λ=632.8nm), respectively, and thereby validate the feasibility of proposed dwell time model used for subaperture polishing.

© 2014 Optical Society of America

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4610) Optical design and fabrication : Optical fabrication
(220.5450) Optical design and fabrication : Polishing

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: March 12, 2014
Revised Manuscript: April 10, 2014
Manuscript Accepted: April 11, 2014
Published: May 14, 2014

Citation
Zhichao Dong, Haobo Cheng, and Hon-Yuen Tam, "Modified dwell time optimization model and its applications in subaperture polishing," Appl. Opt. 53, 3213-3224 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-15-3213


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