Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces

Modern optical engineering requires increasingly sophisticated interferometry methods capable of conducting subnanometer scale measurements of the large aperture, high-precision optical component surfaces. However, the accuracy of interferometry measurement is limited to the accuracy with which the...

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Main Authors: Xueliang Zhu, Fengming Nie, Bingcai Liu, Ruikun Liu, Ailing Tian
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2021/6621939
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author Xueliang Zhu
Fengming Nie
Bingcai Liu
Ruikun Liu
Ailing Tian
author_facet Xueliang Zhu
Fengming Nie
Bingcai Liu
Ruikun Liu
Ailing Tian
author_sort Xueliang Zhu
collection DOAJ
description Modern optical engineering requires increasingly sophisticated interferometry methods capable of conducting subnanometer scale measurements of the large aperture, high-precision optical component surfaces. However, the accuracy of interferometry measurement is limited to the accuracy with which the surface of the reference mirror employed in the interferometer system is known, and the influence of gravity-induced deformation cannot be ignored. This is addressed in the present work by proposing a three-flat testing method based on multiposition rotation interference absolute surface measurement technology that combines the basic theory of N-position rotation with the separability of surface wavefront functions into sums of even and odd functions. These functions provide the rotational symmetric components of the wavefront, which then enables the absolute surface to be reconstructed based on the N-position rotation measurements. In addition, we propose a mechanical clamping combined with computational method to compensate for the gravity-induced deformations of the flats in the multiposition rotation absolute measurements. The high precision of the proposed absolute surface measurement method is demonstrated via simulations. The results of laboratory experiments indicate that the combination compensation method provides the high-precision surface reconstruction outcomes. The present work provides an important contribution for supporting the interferometry measurement of large aperture, high-precision optical component surfaces.
format Article
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institution Kabale University
issn 1687-9384
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language English
publishDate 2021-01-01
publisher Wiley
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series International Journal of Optics
spelling doaj-art-99a3bf71fd8d4bc6b49f071dbf6d36142025-02-03T01:25:14ZengWileyInternational Journal of Optics1687-93841687-93922021-01-01202110.1155/2021/66219396621939Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component SurfacesXueliang Zhu0Fengming Nie1Bingcai Liu2Ruikun Liu3Ailing Tian4School of Optoelectronic Engineering, Xi’an Technological University, Xi’an, ChinaAdvanced Manufacturing Institute, Inner Mongolia Institute of Metal Materials, Ningbo, ChinaSchool of Optoelectronic Engineering, Xi’an Technological University, Xi’an, ChinaSchool of Optoelectronic Engineering, Xi’an Technological University, Xi’an, ChinaSchool of Optoelectronic Engineering, Xi’an Technological University, Xi’an, ChinaModern optical engineering requires increasingly sophisticated interferometry methods capable of conducting subnanometer scale measurements of the large aperture, high-precision optical component surfaces. However, the accuracy of interferometry measurement is limited to the accuracy with which the surface of the reference mirror employed in the interferometer system is known, and the influence of gravity-induced deformation cannot be ignored. This is addressed in the present work by proposing a three-flat testing method based on multiposition rotation interference absolute surface measurement technology that combines the basic theory of N-position rotation with the separability of surface wavefront functions into sums of even and odd functions. These functions provide the rotational symmetric components of the wavefront, which then enables the absolute surface to be reconstructed based on the N-position rotation measurements. In addition, we propose a mechanical clamping combined with computational method to compensate for the gravity-induced deformations of the flats in the multiposition rotation absolute measurements. The high precision of the proposed absolute surface measurement method is demonstrated via simulations. The results of laboratory experiments indicate that the combination compensation method provides the high-precision surface reconstruction outcomes. The present work provides an important contribution for supporting the interferometry measurement of large aperture, high-precision optical component surfaces.http://dx.doi.org/10.1155/2021/6621939
spellingShingle Xueliang Zhu
Fengming Nie
Bingcai Liu
Ruikun Liu
Ailing Tian
Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
International Journal of Optics
title Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
title_full Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
title_fullStr Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
title_full_unstemmed Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
title_short Multiposition Rotation Interference Absolute Measurement Method for High-Precision Optical Component Surfaces
title_sort multiposition rotation interference absolute measurement method for high precision optical component surfaces
url http://dx.doi.org/10.1155/2021/6621939
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AT fengmingnie multipositionrotationinterferenceabsolutemeasurementmethodforhighprecisionopticalcomponentsurfaces
AT bingcailiu multipositionrotationinterferenceabsolutemeasurementmethodforhighprecisionopticalcomponentsurfaces
AT ruikunliu multipositionrotationinterferenceabsolutemeasurementmethodforhighprecisionopticalcomponentsurfaces
AT ailingtian multipositionrotationinterferenceabsolutemeasurementmethodforhighprecisionopticalcomponentsurfaces