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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 3 — Feb. 4, 2008
  • pp: 1583–1589

Optimal local shape description for rotationally non-symmetric optical surface design and analysis

Ozan Cakmakci, Brendan Moore, Hassan Foroosh, and Jannick P. Rolland  »View Author Affiliations

Optics Express, Vol. 16, Issue 3, pp. 1583-1589 (2008)

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A local optical surface representation as a sum of basis functions is proposed and implemented. Specifically, we investigate the use of linear combination of Gaussians. The proposed approach is a local descriptor of shape and we show how such surfaces are optimized to represent rotationally non-symmetric surfaces as well as rotationally symmetric surfaces. As an optical design example, a single surface off-axis mirror with multiple fields is optimized, analyzed, and compared to existing shape descriptors. For the specific case of the single surface off-axis magnifier with a 3 mm pupil, >15mm eye relief, 24 degree diagonal full field of view, we found the linear combination of Gaussians surface to yield an 18.5% gain in the average MTF across 17 field points compared to a Zernike polynomial up to and including 10th order. The sum of local basis representation is not limited to circular apertures.

© 2008 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(220.1250) Optical design and fabrication : Aspherics
(220.4830) Optical design and fabrication : Systems design
(230.4040) Optical devices : Mirrors

ToC Category:
Optical Design and Fabrication

Original Manuscript: December 6, 2007
Revised Manuscript: January 19, 2008
Manuscript Accepted: January 21, 2008
Published: January 23, 2008

Virtual Issues
Vol. 3, Iss. 3 Virtual Journal for Biomedical Optics

Ozan Cakmakci, Brendan Moore, Hassan Foroosh, and Jannick P. Rolland, "Optimal local shape description for rotationally non-symmetric optical surface design and analysis," Opt. Express 16, 1583-1589 (2008)

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