Noncontact Measurement for Radius of Curvature of Unpolished Lens

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 coor...

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Main Author: Haifeng Liang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2014/324032
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author Haifeng Liang
author_facet Haifeng Liang
author_sort Haifeng Liang
collection DOAJ
description 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.
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spelling doaj-art-87bae1f8abf14255b98d7b591b1b8b4b2025-08-20T02:09:01ZengWileyInternational Journal of Optics1687-93841687-93922014-01-01201410.1155/2014/324032324032Noncontact Measurement for Radius of Curvature of Unpolished LensHaifeng Liang0College of Photoelectrical Engineering, Xi’an Technological University, Xi’an 710032, ChinaA 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.http://dx.doi.org/10.1155/2014/324032
spellingShingle Haifeng Liang
Noncontact Measurement for Radius of Curvature of Unpolished Lens
International Journal of Optics
title Noncontact Measurement for Radius of Curvature of Unpolished Lens
title_full Noncontact Measurement for Radius of Curvature of Unpolished Lens
title_fullStr Noncontact Measurement for Radius of Curvature of Unpolished Lens
title_full_unstemmed Noncontact Measurement for Radius of Curvature of Unpolished Lens
title_short Noncontact Measurement for Radius of Curvature of Unpolished Lens
title_sort noncontact measurement for radius of curvature of unpolished lens
url http://dx.doi.org/10.1155/2014/324032
work_keys_str_mv AT haifengliang noncontactmeasurementforradiusofcurvatureofunpolishedlens