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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 7323–7329

Cylindrical coordinate machining of optical freeform surfaces

F. Z. Fang, X. D. Zhang, and X. T. Hu  »View Author Affiliations

Optics Express, Vol. 16, Issue 10, pp. 7323-7329 (2008)

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The cylindrical coordinate machining method (CCM) is systematically studied in generating optical freeform surfaces, in which the feature points are fitted to typical Non-Uniform Rational B-Splines (NURBS). The given points have the mapping coordinates in the variable space using the point inversion technique, while the other points have their NURBS coordinates due to the interpolation technique. The derivation and mathematical features are obtained using the fitting formula. The compensation and optimized values for tool geometry are studied using a proposed sectional curve method for fabricating designed surfaces. Typical freeform surfaces fabricated by the CCM method are presented.

© 2008 Optical Society of America

OCIS Codes
(220.1250) Optical design and fabrication : Aspherics
(220.1920) Optical design and fabrication : Diamond machining

ToC Category:
Optical Design and Fabrication

Original Manuscript: February 14, 2008
Revised Manuscript: April 8, 2008
Manuscript Accepted: May 3, 2008
Published: May 6, 2008

F. Z. Fang, X. D. Zhang, and X. T. Hu, "Cylindrical coordinate machining of optical freeform surfaces," Opt. Express 16, 7323-7329 (2008)

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