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Applied Optics

Applied Optics


  • Vol. 28, Iss. 21 — Nov. 1, 1989
  • pp: 4687–4696

Least-squares fitting of aspheric surfaces by a conicoid

Berge Tatian  »View Author Affiliations

Applied Optics, Vol. 28, Issue 21, pp. 4687-4696 (1989)

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Spherical fits to an aspheric surface provide a measure of the raw asphericity, give an easily generated starting point for its fabrication, and show the amount of aberration to be expected in a center of curvature test. Conicoidal fits have similar uses. We have previously shown that a conicoidal fit can be substantially closer than a spherical fit. In this paper we include fits to sections of plane symmetric surfaces that have no symmetry and give examples of such fits to surfaces of a completely asymmetric lens.

© 1989 Optical Society of America

Original Manuscript: March 15, 1989
Published: November 1, 1989

Berge Tatian, "Least-squares fitting of aspheric surfaces by a conicoid," Appl. Opt. 28, 4687-4696 (1989)

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  1. B. Tatian, “Testing an Unusual Optical Surface,” Proc. Soc. Photo-Opt. Instrum. Eng. 554, 139–147 (1985).
  2. O. Cardona-Nunez, A. Cornejo-Rodriguez, J. R. Diaz-Uribe, A. Cordero-Davila, J. Pedraza-Contreras, “Comparison Between Toroidal and Conic Surfaces that Best Fit an Off-Axis Conic Section,” Appl. Opt. 26, 4832–4834 (1987). [CrossRef] [PubMed]
  3. This was the result of a suggestion from K. P. Thompson of Optical Research Associates.
  4. B. Tatian, “First Look at the Computer Design of Optical Systems Without Any Symmetry,” Proc. Soc. Photo-Opt. Instrum. Eng. 766, 38–47 (1985).
  5. G. Spencer, M. Murty, “General Ray-Tracing Procedure,” J. Opt. Soc. Am. 52, 672–678 (1962). [CrossRef]

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