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International Journal of Optics
Volume 2014 (2014), Article ID 324032, 7 pages
Research Article

Noncontact Measurement for Radius of Curvature of Unpolished Lens

College of Photoelectrical Engineering, Xi’an Technological University, Xi’an 710032, China

Received 1 July 2014; Accepted 15 September 2014; Published 30 September 2014

Academic Editor: Chenggen Quan

Copyright © 2014 Haifeng Liang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A noncontact mathematical model to measure radius of curvature (ROC) of an unpolished spherical lens was proposed and also proved by experiments. This model gives ROC as a function of arcs radii and their separation distance, where the radii of the corresponding arcs could be acquired by taking coordinates of points on the arcs when two parallel lines of light project onto a lens surface. Our experiments demonstrated that the measured maximum relative error was 0.027% for a concave surface with a 38.19 mm ROC and 0.021% for a convex surface with a 97.75 mm ROC, which were all in agreement with those of theory prediction error. The suggested method presented a fast noncontact method for testing ROC of lens during coarse grinding and fine grinding.