Measure transparent elements using least squares iterative phase shift method

In order to measure the surface phase of the front and back of the transparent plate more accurately, a phase shift algorithm based on least squares iteration is proposed. After a least squares phase shift algorithm, the corresponding transparent flat surface pattern can be obtained, but the accurac...

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Main Authors: Li Jingwei, Xin Qing, Yu Jie, Hou Changlun
Format: Article
Language:zho
Published: National Computer System Engineering Research Institute of China 2021-01-01
Series:Dianzi Jishu Yingyong
Subjects:
Online Access:http://www.chinaaet.com/article/3000128427
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author Li Jingwei
Xin Qing
Yu Jie
Hou Changlun
author_facet Li Jingwei
Xin Qing
Yu Jie
Hou Changlun
author_sort Li Jingwei
collection DOAJ
description In order to measure the surface phase of the front and back of the transparent plate more accurately, a phase shift algorithm based on least squares iteration is proposed. After a least squares phase shift algorithm, the corresponding transparent flat surface pattern can be obtained, but the accuracy of the obtained surface map is not high because there is an error in the initial phase value. Therefore, it is necessary to derive the accurate phase value from the obtained surface map. The algorithm calculates the more accurate initial phase shift value by the method of least squares and multiple iterations. After the simulation experiment of the method, it is known that the measurement accuracy of this algorithm is high and the anti-noise ability is better. The error of the PV value and RMS value of the surface map is less than 0.006λ. In actual measurement results, the PV error of the measurement result is less than 0.09λ, and the RMS error is less than 0.02λ. The measured shape is close to the true shape of the object, and the measurement accuracy is high.
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spelling doaj.art-5e13f478164d4317b6ca34b96bc03f4d2022-12-21T19:50:12ZzhoNational Computer System Engineering Research Institute of ChinaDianzi Jishu Yingyong0258-79982021-01-0147110010710.16157/j.issn.0258-7998.2007533000128427Measure transparent elements using least squares iterative phase shift methodLi Jingwei0Xin Qing1Yu Jie2Hou Changlun3College of Electronic Information,Hangzhou Dianzi University,Hangzhou 310000,ChinaCollege of Electronic Information,Hangzhou Dianzi University,Hangzhou 310000,ChinaCollege of Electronic Information,Hangzhou Dianzi University,Hangzhou 310000,ChinaCollege of Electronic Information,Hangzhou Dianzi University,Hangzhou 310000,ChinaIn order to measure the surface phase of the front and back of the transparent plate more accurately, a phase shift algorithm based on least squares iteration is proposed. After a least squares phase shift algorithm, the corresponding transparent flat surface pattern can be obtained, but the accuracy of the obtained surface map is not high because there is an error in the initial phase value. Therefore, it is necessary to derive the accurate phase value from the obtained surface map. The algorithm calculates the more accurate initial phase shift value by the method of least squares and multiple iterations. After the simulation experiment of the method, it is known that the measurement accuracy of this algorithm is high and the anti-noise ability is better. The error of the PV value and RMS value of the surface map is less than 0.006λ. In actual measurement results, the PV error of the measurement result is less than 0.09λ, and the RMS error is less than 0.02λ. The measured shape is close to the true shape of the object, and the measurement accuracy is high.http://www.chinaaet.com/article/3000128427interferenceleast squares iterative algorithmphase shift algorithmshape detectionmulti-surface interference
spellingShingle Li Jingwei
Xin Qing
Yu Jie
Hou Changlun
Measure transparent elements using least squares iterative phase shift method
Dianzi Jishu Yingyong
interference
least squares iterative algorithm
phase shift algorithm
shape detection
multi-surface interference
title Measure transparent elements using least squares iterative phase shift method
title_full Measure transparent elements using least squares iterative phase shift method
title_fullStr Measure transparent elements using least squares iterative phase shift method
title_full_unstemmed Measure transparent elements using least squares iterative phase shift method
title_short Measure transparent elements using least squares iterative phase shift method
title_sort measure transparent elements using least squares iterative phase shift method
topic interference
least squares iterative algorithm
phase shift algorithm
shape detection
multi-surface interference
url http://www.chinaaet.com/article/3000128427
work_keys_str_mv AT lijingwei measuretransparentelementsusingleastsquaresiterativephaseshiftmethod
AT xinqing measuretransparentelementsusingleastsquaresiterativephaseshiftmethod
AT yujie measuretransparentelementsusingleastsquaresiterativephaseshiftmethod
AT houchanglun measuretransparentelementsusingleastsquaresiterativephaseshiftmethod