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Applied Optics

Applied Optics


  • Vol. 38, Iss. 34 — Dec. 1, 1999
  • pp: 7171–7173

The Initial Sphere in the Fabrication of Conic Surfaces with Small Focal Ratio

S. Vázquez-Montiel, Luis M. Arévalo-Aguilar, and A. Cornejo-Rodriguez  »View Author Affiliations

Applied Optics, Vol. 38, Issue 34, pp. 7171-7173 (1999)

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The fabrication of a conic surface begins with the grinding of a best-fit sphere. The desired conic surface can then be obtained by further grinding with a subaperture tool. Finally, the surface is polished. Normally the best-fit sphere is chosen so as to minimize the second grinding step. However, this method tends to produce mid-spatial frequency errors near the edge of the surface and can cause errors in the paraxial radius of curvature. This paper presents an alternative method of calculating the initial sphere so as to avoid these errors. It requires more grinding time but far less time for polishing.

© 1999 Optical Society of America

S. Vázquez-Montiel, Luis M. Arévalo-Aguilar, and A. Cornejo-Rodriguez, "The Initial Sphere in the Fabrication of Conic Surfaces with Small Focal Ratio," Appl. Opt. 38, 7171-7173 (1999)

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  1. A.V. Kuznetsov, B. A. Chunin, “Methods of making aspherical surfaces,” Sov. J. Opt. Technol., 43, No. 5, 319–24, (1976).
  2. Gunter Schultz, “Spherical surfaces,” Progress in Optics, 25,349–415, (1988). [CrossRef]
  3. G.M. Sanger, “Perspective on precision machining, polishing, and optical requirements,” SPIE, 306,90–99, (1981). [CrossRef]
  4. Robert E. Parks, “Overview of optical manufacturing methods,” SPIE, 306,2–12, (1981). [CrossRef]
  5. Theodore W. J. Unti, “Best-Fit Sphere Approximation to a General Aspheric Surface,” Applied Optics, 5, No. 2, 319–21, (1966). [CrossRef] [PubMed]
  6. J.D. Briers, “Best-fit spheres and conics as an aid in the manufacture and testing of diamond-turned aspherics optics,” Optica Acta, 32, No. 2, 169–78, (1985). [CrossRef]
  7. D. Malacara, “An optical surface and its characteristics,” Appendix 1, Optical Shop Testing, D. Malacara, Ed., John Wiley & Sons, Inc., New York, 1992.

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