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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 22 — Aug. 1, 2009
  • pp: 4278–4284

Figuring technology of nonaxisymmetric errors with a spiral path

Changjun Jiao, Shengyi Li, and Xuhui Xie  »View Author Affiliations


Applied Optics, Vol. 48, Issue 22, pp. 4278-4284 (2009)
http://dx.doi.org/10.1364/AO.48.004278


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Abstract

Figuring technology of nonaxisymmetric errors using a spiral path is presented. Based on an approximation of a removal function, a finite-field nonlinear model is deduced from the computer-controlled optics shaping principle. We then present a modified Richardson–Lucy iterative algorithm to deconvolute the dwell time. With a velocity realization method for dwell time on a spiral path, the figuring technology comes into being. Simulations are made to validate these algorithms. Theoretical and simulation studies demonstrate that the figuring technology is a novel method for inexpensive fabrication of precision mirrors.

© 2009 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: February 24, 2009
Revised Manuscript: June 22, 2009
Manuscript Accepted: June 26, 2009
Published: July 21, 2009

Citation
Changjun Jiao, Shengyi Li, and Xuhui Xie, "Figuring technology of nonaxisymmetric errors with a spiral path," Appl. Opt. 48, 4278-4284 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-22-4278


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References

  1. C. J. Jiao, S. Y. Li, X. H. Xie, D. F. Wang, and L. Zhou, “Controllability of removal function in the ion beam figuring process for optics mirrors,” Opt. Technique 34, 651-654 (2008) (in Chinese).
  2. L. N. Allen and R. E. Keim, “An ion figuring system for large optic fabrication,” Proc. SPIE 1168, 33-50(1989).
  3. C. Song, Y. F. Dai, and X. Q. Peng, “Polishing parameters of magnetorheological finishing for high-precision optical surfaces,” Nanotechnol. Precis. Eng. 6, 424-429 (2008) (in Chinese).
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  9. W. H. Richardson, “Bayesian-based iterative method of image restoration,” J. Opt. Soc. Am. 62, 55-59 (1972). [CrossRef]
  10. L. B. Lucy, “An iterative technique for rectification of observed distributions,” Astron. J. 79, 745-754 (1974). [CrossRef]
  11. C. J. Jiao, S. Y. Li, and X. H. Xie, “Algorithm for ion beam figuring of low-gradient mirrors,” Appl. Opt. 48, 4090-4096 (2009). [CrossRef]
  12. S. Li, C. Jiao, X. Xie, and L. Zhou, “Stitching algorithm for ion beam figuring of optical mirrors,” Science in China Ser. E (to be published).

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