Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry

Abstract In this paper, a calibration method is proposed which eliminates the zeroth order effect in lateral shearing interferometry. An analytical expression of the calibration error function is deduced, and the relationship between the phase-restoration error and calibration error is established....

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Main Authors: Chao Fang, Yang Xiang, Keqi Qi, Dawei Chen
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Photonic Sensors
Subjects:
Online Access:http://link.springer.com/article/10.1007/s13320-018-0500-2
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spelling doaj-f8c15845769b4998a9e2328f80f6981b2020-11-25T00:58:14ZengSpringerOpenPhotonic Sensors1674-92512190-74392018-04-018325526210.1007/s13320-018-0500-2Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing InterferometryChao Fang0Yang Xiang1Keqi Qi2Dawei Chen3State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of SciencesState Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of SciencesState Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of SciencesJilin UniversityAbstract In this paper, a calibration method is proposed which eliminates the zeroth order effect in lateral shearing interferometry. An analytical expression of the calibration error function is deduced, and the relationship between the phase-restoration error and calibration error is established. The analytical results show that the phase-restoration error introduced by the calibration error is proportional to the phase shifting error and zeroth order effect. The calibration method is verified using simulations and experiments. The simulation results show that the phase-restoration error is approximately proportional to the phase shift error and zeroth order effect, when the phase shifting error is less than 2° and the zeroth order effect is less than 0.2. The experimental result shows that compared with the conventional method with 9-frame interferograms, the calibration method with 5-frame interferograms achieves nearly the same restoration accuracy.http://link.springer.com/article/10.1007/s13320-018-0500-2Calibrationphase measurementphase shifting interferometry
collection DOAJ
language English
format Article
sources DOAJ
author Chao Fang
Yang Xiang
Keqi Qi
Dawei Chen
spellingShingle Chao Fang
Yang Xiang
Keqi Qi
Dawei Chen
Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
Photonic Sensors
Calibration
phase measurement
phase shifting interferometry
author_facet Chao Fang
Yang Xiang
Keqi Qi
Dawei Chen
author_sort Chao Fang
title Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
title_short Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
title_full Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
title_fullStr Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
title_full_unstemmed Calibration Method to Eliminate Zeroth Order Effect in Lateral Shearing Interferometry
title_sort calibration method to eliminate zeroth order effect in lateral shearing interferometry
publisher SpringerOpen
series Photonic Sensors
issn 1674-9251
2190-7439
publishDate 2018-04-01
description Abstract In this paper, a calibration method is proposed which eliminates the zeroth order effect in lateral shearing interferometry. An analytical expression of the calibration error function is deduced, and the relationship between the phase-restoration error and calibration error is established. The analytical results show that the phase-restoration error introduced by the calibration error is proportional to the phase shifting error and zeroth order effect. The calibration method is verified using simulations and experiments. The simulation results show that the phase-restoration error is approximately proportional to the phase shift error and zeroth order effect, when the phase shifting error is less than 2° and the zeroth order effect is less than 0.2. The experimental result shows that compared with the conventional method with 9-frame interferograms, the calibration method with 5-frame interferograms achieves nearly the same restoration accuracy.
topic Calibration
phase measurement
phase shifting interferometry
url http://link.springer.com/article/10.1007/s13320-018-0500-2
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