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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 27 — Dec. 19, 2011
  • pp: 26962–26974

Edge clustered fitting grids for φ-polynomial characterization of freeform optical surfaces

Ilhan Kaya, Kevin P. Thompson, and Jannick P. Rolland  »View Author Affiliations

Optics Express, Vol. 19, Issue 27, pp. 26962-26974 (2011)

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With the recent emergence of slow-servo diamond turning, optical designs with surfaces that are not intrinsically rotationally symmetric can be manufactured. In this paper, we demonstrate some important limitations to Zernike polynomial representation of optical surfaces in describing the evolving freeform surface descriptions that are effective for optical design and encountered during optical fabrication. Specifically, we show that the ray grids commonly used in sampling a freeform surface to form a database from which to perform a φ-polynomial fit is limiting the efficacy of computation. We show an edge-clustered fitting grid that effectively suppresses the edge ringing that arises as the polynomial adapts to the fully nonsymmetric features of the surface.

© 2011 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(080.2740) Geometric optics : Geometric optical design
(220.0220) Optical design and fabrication : Optical design and fabrication

ToC Category:
Optical Design and Fabrication

Original Manuscript: October 17, 2011
Manuscript Accepted: November 28, 2011
Published: December 16, 2011

Ilhan Kaya, Kevin P. Thompson, and Jannick P. Rolland, "Edge clustered fitting grids for φ-polynomial characterization of freeform optical surfaces," Opt. Express 19, 26962-26974 (2011)

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