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Applied Optics

Applied Optics


  • Vol. 43, Iss. 34 — Dec. 1, 2004
  • pp: 6255–6264

Testing fast aspheric convex surfaces with a linear array of sources

Manuel Campos-García, Rufino Díaz-Uribe, and Fermín Granados-Agustín  »View Author Affiliations

Applied Optics, Vol. 43, Issue 34, pp. 6255-6264 (2004)

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We describe a noncontact test procedure with which to obtain the shapes of fast convex surfaces. For this, an array of sources is positioned in a straight line and separated in such a way that the image by reflection on the surface consists of a set of equally spaced bright spots. By rotating the surface, we test different meridians such that, after 360°, the entire surface is measured. We present the source array design and the surface evaluation algorithm. We found that, to reduce numerical error in the evaluation of the shape of the surface, a numerical integration must be performed by a method that uses parabolic arcs instead of the traditional method that uses trapezoids. Through some numerical simulations we analyzed the accuracy of the method by introducing random displacements into the measured data. We found that to measure the quality of the surface with accuracy better than 5 μm, we have to measure the coordinates of the centroids on the image plane with an accuracy better than 0.5 pixel, and we to have measure the positions of the linear sources with an accuracy better than 0.5 mm. Experimental results for the testing of a carbon fiber convex sphere of 383.6-mm diameter (f/0.398) are shown.

© 2004 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

Original Manuscript: March 10, 2004
Revised Manuscript: August 17, 2004
Published: December 1, 2004

Manuel Campos-García, Rufino Díaz-Uribe, and Fermín Granados-Agustín, "Testing fast aspheric convex surfaces with a linear array of sources," Appl. Opt. 43, 6255-6264 (2004)

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