Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array

In this paper, we propose an instantaneous phase-stepping method for determining phase distribution of interference fringes utilizing a camera that is equipped with a micro-polarizer array on the sensor plane. An optical setup of polarization interferometry using a Mach–Zehnder interferometer with t...

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Main Authors: Satoru Yoneyama, Shuichi Arikawa
Format: Article
Language:English
Published: Elsevier 2016-07-01
Series:Theoretical and Applied Mechanics Letters
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2095034916300228
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author Satoru Yoneyama
Shuichi Arikawa
author_facet Satoru Yoneyama
Shuichi Arikawa
author_sort Satoru Yoneyama
collection DOAJ
description In this paper, we propose an instantaneous phase-stepping method for determining phase distribution of interference fringes utilizing a camera that is equipped with a micro-polarizer array on the sensor plane. An optical setup of polarization interferometry using a Mach–Zehnder interferometer with two polarizers is constructed. Light emerging from the interferometer is recorded using a camera that has a micro-polarizer array. This micro-polarizer array has four different optical axes. That is, an image obtained by the camera contains four types of information corresponding to four different optical axes of the polarizer. The four images separated from the image recorded by the camera are reconstructed using gray level interpolation. Subsequently, the distributions of the Stokes parameters that represent the state of polarization are calculated from the four images. The phase distribution of the interference fringe pattern produced by the Mach–Zehnder interferometer is then obtained from these Stokes parameters. The effectiveness of the proposed method is demonstrated by measuring a static carrier pattern and time-variant fringe patterns. It is emphasized that this method is applicable to time-variant phenomena because multiple exposures are unnecessary for sufficient data acquisition in the completion of the phase analysis.
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spelling doaj.art-9199730c795f48338c8aa11fe1aba6512022-12-21T17:56:56ZengElsevierTheoretical and Applied Mechanics Letters2095-03492016-07-016416216610.1016/j.taml.2016.05.004Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer arraySatoru YoneyamaShuichi ArikawaIn this paper, we propose an instantaneous phase-stepping method for determining phase distribution of interference fringes utilizing a camera that is equipped with a micro-polarizer array on the sensor plane. An optical setup of polarization interferometry using a Mach–Zehnder interferometer with two polarizers is constructed. Light emerging from the interferometer is recorded using a camera that has a micro-polarizer array. This micro-polarizer array has four different optical axes. That is, an image obtained by the camera contains four types of information corresponding to four different optical axes of the polarizer. The four images separated from the image recorded by the camera are reconstructed using gray level interpolation. Subsequently, the distributions of the Stokes parameters that represent the state of polarization are calculated from the four images. The phase distribution of the interference fringe pattern produced by the Mach–Zehnder interferometer is then obtained from these Stokes parameters. The effectiveness of the proposed method is demonstrated by measuring a static carrier pattern and time-variant fringe patterns. It is emphasized that this method is applicable to time-variant phenomena because multiple exposures are unnecessary for sufficient data acquisition in the completion of the phase analysis.http://www.sciencedirect.com/science/article/pii/S2095034916300228Instantaneous phase-stepping methodMach–Zehnder interferometryMicro-polarizer arrayPolarizationFringeCrack
spellingShingle Satoru Yoneyama
Shuichi Arikawa
Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
Theoretical and Applied Mechanics Letters
Instantaneous phase-stepping method
Mach–Zehnder interferometry
Micro-polarizer array
Polarization
Fringe
Crack
title Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
title_full Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
title_fullStr Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
title_full_unstemmed Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
title_short Instantaneous phase-stepping interferometry based on a pixelated micro-polarizer array
title_sort instantaneous phase stepping interferometry based on a pixelated micro polarizer array
topic Instantaneous phase-stepping method
Mach–Zehnder interferometry
Micro-polarizer array
Polarization
Fringe
Crack
url http://www.sciencedirect.com/science/article/pii/S2095034916300228
work_keys_str_mv AT satoruyoneyama instantaneousphasesteppinginterferometrybasedonapixelatedmicropolarizerarray
AT shuichiarikawa instantaneousphasesteppinginterferometrybasedonapixelatedmicropolarizerarray