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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 6 — Feb. 20, 2008
  • pp: 849–859

Testing fast aspheric concave surfaces with a cylindrical null screen

M. Campos-García, R. Bolado-Gómez, and R. Díaz-Uribe  »View Author Affiliations

Applied Optics, Vol. 47, Issue 6, pp. 849-859 (2008)

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A noncontact test procedure to obtain the shape of fast concave surfaces is described. A cylindrical null screen with a curved grid drawn on it in such a way that its image, which is formed by reflection on a perfect concave surface, yields a perfect square grid is proposed. The cylindrical null screen design and the surface evaluation algorithm are presented. Experimental results for the testing of an elliptical mirror of 164 mm in diameter ( f / 0.232 ) are shown.

© 2008 Optical Society of America

OCIS Codes
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.1250) Optical design and fabrication : Aspherics
(220.4840) Optical design and fabrication : Testing

ToC Category:
Optical Design and Fabrication

Original Manuscript: September 10, 2007
Revised Manuscript: December 17, 2007
Manuscript Accepted: December 24, 2007
Published: February 20, 2008

M. Campos-García, R. Bolado-Gómez, and R. Díaz-Uribe, "Testing fast aspheric concave surfaces with a cylindrical null screen," Appl. Opt. 47, 849-859 (2008)

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  1. R. Diaz-Uribe and M. Campos-Garcia, “Null screen testing of fast convex aspheric surfaces,” Appl. Opt. 39, 2670-2677(2000). [CrossRef]
  2. R. Diaz-Uribe, “Medium precision null screen testing of off-axis parabolic mirrors for segmented primary telescope optics: the case of the large millimeter telescope,” Appl. Opt. 39, 2790-2804 (2000). [CrossRef]
  3. M. Campos-Garcia, R. Diaz-Uribe, and F. Granados-Agustín, “Testing fast aspheric convex surfaces with a linear array of sources,” Appl. Opt. 43, 6255-6264 (2004). [CrossRef] [PubMed]
  4. M. Avendaño-Alejo and R. Diaz-Uribe, “Testing a fast off-axis parabolic mirror using tilted null-screens,” Appl. Opt. 45, 2607-2614 (2006). [CrossRef] [PubMed]
  5. O. G. Rodríguez-Herrera, M. Rosete-Aguilar, and N. C. Bruce, “Scatterometer of visible light for 2D rough surfaces,” Rev. Sci. Instrum. 75, 4820-4823 (2004). [CrossRef]
  6. O. G. Rodríguez-Herrera and N. C. Bruce, “Mueller matrix for an ellipsoidal mirror,” Opt. Eng. 45053602-1-053602-7(2006). [CrossRef]
  7. R. Diaz-Uribe, R. Bolado-Gomez, M. Campos-García, and M. Avendaño-Alejo, “Medium precision optical testing of a fast concave elliptical mirror by a cylindrical null screen,” Proc. SPIE 6034, 60340Y1-6 (2006).
  8. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1990).
  9. M. Campos-García and R. Diaz-Uribe, “Accuracy analysis in laser keratopography,” Appl. Opt. 41, 2065-2073 (2002). [CrossRef] [PubMed]
  10. L. Carmona-Paredes and R. Díaz-Uribe, “Geometric analysis of the null screens used for testing convex optical surfaces,” Rev. Mex. Fís. 53421-430 (2007).
  11. W. Rasban, “Image Processing and Analysis in Java,” National Institutes of Health, USA, ImageJ V. 1.37, http://rsb.info.nih.gov/ij/.
  12. P. R. Bevington and D. K. Robinson, Data Reduction and Error Analysis for the Physical Sciences, 2nd ed. (McGraw-Hill, 1992), pp. 161-166.
  13. M. Campos-García and R. Díaz-Uribe, “Quantitative shape evaluation of fast aspherics with null screens by fitting two local second order polynomials to the surface normals,” presented at the VI Iberoamerican Conference on Optics (RIAO) / IX Latinamerican meeting on Optics, Lasers and Applications (OPTILAS), Campinas-SP, Brazil, 21-26 October 2007.
  14. D. D. McCracken and W. S. Dorn, Numerical Methods and Fortran Programming (Wiley, 1964), Chap. 6.
  15. V. I. Moreno-Oliva, M. Campos-García, R. Bolado-Gómez, and R. Díaz-Uribe, Appl. Opt. 47, 644-651 (2008). [CrossRef] [PubMed]

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