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Applied Optics

Applied 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)

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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

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

Changjun Jiao, Shengyi Li, and Xuhui Xie, "Figuring technology of nonaxisymmetric errors with a spiral path," Appl. Opt. 48, 4278-4284 (2009)

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