High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform

We propose a novel approach to address the high-resolution problem for analyzing the peak position of an interference envelope in vertical-scanning wideband interferometry. Nonlinear envelope demodulation cannot be performed for arbitrary interference fringes because the envelope peak positions fluc...

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Main Authors: Dong Wei, Taiga Fujiyama, Masato Aketagawa
Format: Article
Language:English
Published: Elsevier 2022-01-01
Series:Results in Optics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666950122000086
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author Dong Wei
Taiga Fujiyama
Masato Aketagawa
author_facet Dong Wei
Taiga Fujiyama
Masato Aketagawa
author_sort Dong Wei
collection DOAJ
description We propose a novel approach to address the high-resolution problem for analyzing the peak position of an interference envelope in vertical-scanning wideband interferometry. Nonlinear envelope demodulation cannot be performed for arbitrary interference fringes because the envelope peak positions fluctuate depending on the acquisition statuses of the interference fringes. In the proposed method, first, the interference fringes are shifted until the desired results are obtained; this helps solve the discrepancy problem. Then, nonlinear envelope demodulation processing is applied to the selected shifted interference fringes. This paper describes the proposed procedure used in this study and its development using a shift selection scheme based on the envelope match characteristics of the shifted interference fringes. The proposed approach is introduced within the framework of super wideband light-based Michelson interferometry, and the experimental results demonstrate the superiority of the proposed algorithm over the conventional Fourier transform method for envelope peak resolution. The present technique is expected to be useful for the high-precision measurement of distances for not only scientific purposes but also industry requirements.
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spelling doaj.art-5ed27ea2198d4e7895e2c3c607035b672022-12-21T23:44:51ZengElsevierResults in Optics2666-95012022-01-016100218High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transformDong Wei0Taiga Fujiyama1Masato Aketagawa2Corresponding author.; Department of Mechanical Engineering, Nagaoka University of Technology, Nagaoka City, Niigata 940-2188, JapanDepartment of Mechanical Engineering, Nagaoka University of Technology, Nagaoka City, Niigata 940-2188, JapanDepartment of Mechanical Engineering, Nagaoka University of Technology, Nagaoka City, Niigata 940-2188, JapanWe propose a novel approach to address the high-resolution problem for analyzing the peak position of an interference envelope in vertical-scanning wideband interferometry. Nonlinear envelope demodulation cannot be performed for arbitrary interference fringes because the envelope peak positions fluctuate depending on the acquisition statuses of the interference fringes. In the proposed method, first, the interference fringes are shifted until the desired results are obtained; this helps solve the discrepancy problem. Then, nonlinear envelope demodulation processing is applied to the selected shifted interference fringes. This paper describes the proposed procedure used in this study and its development using a shift selection scheme based on the envelope match characteristics of the shifted interference fringes. The proposed approach is introduced within the framework of super wideband light-based Michelson interferometry, and the experimental results demonstrate the superiority of the proposed algorithm over the conventional Fourier transform method for envelope peak resolution. The present technique is expected to be useful for the high-precision measurement of distances for not only scientific purposes but also industry requirements.http://www.sciencedirect.com/science/article/pii/S2666950122000086Instrumentation, measurement, and metrologyFourier optics and signal processingIntreferometryMetrologyFringe analysis
spellingShingle Dong Wei
Taiga Fujiyama
Masato Aketagawa
High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
Results in Optics
Instrumentation, measurement, and metrology
Fourier optics and signal processing
Intreferometry
Metrology
Fringe analysis
title High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
title_full High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
title_fullStr High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
title_full_unstemmed High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
title_short High-resolution demodulation of interference envelope peak at arbitrary positions by warped discrete Fourier transform
title_sort high resolution demodulation of interference envelope peak at arbitrary positions by warped discrete fourier transform
topic Instrumentation, measurement, and metrology
Fourier optics and signal processing
Intreferometry
Metrology
Fringe analysis
url http://www.sciencedirect.com/science/article/pii/S2666950122000086
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AT masatoaketagawa highresolutiondemodulationofinterferenceenvelopepeakatarbitrarypositionsbywarpeddiscretefouriertransform