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Applied Optics

Applied Optics


  • Vol. 39, Iss. 16 — Jun. 1, 2000
  • pp: 2670–2677

Null-screen testing of fast convex aspheric surfaces

Rufino Díaz-Uribe and Manuel Campos-García  »View Author Affiliations

Applied Optics, Vol. 39, Issue 16, pp. 2670-2677 (2000)

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A method for null-testing fast convex aspheric optical surfaces is presented. The method consists of using a cylindrical screen with a set of lines drawn on it in such a way that its image, which is formed by reflection on a perfect surface, yields a perfect square grid. Departures from this geometry are due to imperfections of the surface, allowing one to know if the surface is close to the design shape. Tests conducted with a full hemisphere and with the parabolic surface of a lens show the feasibility of the method. Numerical simulations show that it is possible to detect surface departures as small as 5 µm.

© 2000 Optical Society of America

OCIS Codes
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.4840) Optical design and fabrication : Testing
(350.4800) Other areas of optics : Optical standards and testing

Original Manuscript: September 10, 1999
Revised Manuscript: November 29, 1999
Published: June 1, 2000

Rufino Díaz-Uribe and Manuel Campos-García, "Null-screen testing of fast convex aspheric surfaces," Appl. Opt. 39, 2670-2677 (2000)

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  1. E. Ghozeil, “Hartmann and other screen tests,” in Optical Shop Testing, 2nd ed., D. Malacara, ed. (Wiley, New York, 1992), pp. 367–396.
  2. A. Offner, D. Malacara, “Null tests using compensators,” in Optical Shop Testing, 2nd ed., D. Malacara, ed. (Wiley, New York, 1992), pp. 427–454.
  3. D. G. Bruns, “Null test for hyperbolic convex mirrors,” Appl. Opt. 22, 12–13 (1983). [CrossRef] [PubMed]
  4. G. N. Lawrence, R. D. Day, “Interferometric characterization of full spheres: data reduction techniques,” Appl. Opt. 26, 4875–4882 (1987). [CrossRef] [PubMed]
  5. It can be shown, within the paraxial approximation, that the shape of an object imaged onto a plane surface corresponds to an elongated ellipsoid. Although this shape is difficult to build, a cylinder can reasonably approximate it. See I. E. Funes-Maderey, “Videoqueratometría de campo plano” (“Flat field videokeratometry”), B.A. thesis, (Universidad Nacional Autónoma de México, México, 1998).
  6. D. Malacara, Optical Shop Testing, 2nd ed. (Wiley, New York, 1992), Appendix 1: An Optical Surface and Its Characteristics.
  7. R. Díaz-Uribe, A. Cornejo-Rodriguez, J. Pedraza-Contreras, O. Cardona-Nunez, A. Cordero-Davila, “Profile measurement of a conic surface, using a He–Ne laser and a nodal bench,” Appl. Opt. 24, 2612–2615 (1985). [CrossRef]
  8. R. Díaz-Uribe, J. Pedraza-Contreras, O. Cardona-Nunez, A. Cordero-Davila, A. Cornejo-Rodriguez, “Cylindrical lenses: testing and radius of curvature measurement,” Appl. Opt. 25, 1707–1709 (1986). [CrossRef] [PubMed]
  9. R. Díaz-Uribe has prepared a paper titled “Medium-precision null-screen testing of off-axis parabolic mirrors for segmented primary telescope optics: the Large Millimetric Telescope,” Appl. Opt. 39, 2790–2804 (2000).

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