Precise phase retrieval under harsh conditions by constructing new connected interferograms

To date, no phase-shifting method can accurately retrieve the phase map from a small set of noisy interferograms with low phase-shifts. In this Letter, we develop a novel approach to resolve this limitation under such harsh conditions. The proposed new method is based on constructing a set of connec...

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Main Authors: Deng, Jian, Wu, Dan, Wang, Kai, Vargas, Javier
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/87486
http://hdl.handle.net/10220/46723
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author Deng, Jian
Wu, Dan
Wang, Kai
Vargas, Javier
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Deng, Jian
Wu, Dan
Wang, Kai
Vargas, Javier
author_sort Deng, Jian
collection NTU
description To date, no phase-shifting method can accurately retrieve the phase map from a small set of noisy interferograms with low phase-shifts. In this Letter, we develop a novel approach to resolve this limitation under such harsh conditions. The proposed new method is based on constructing a set of connected interferograms by means of simple subtraction and addition operations, in which all the subset of interferograms have the same phase-shift interval of π/2. According to this characteristic, this set of connected interferograms can be processed with conventional phase retrieval methods as PCA or AIA obtaining accurate results. The reduction in the RMS errors after using our method reaches as high as 93.7% and 89.3% respectively comparing with conventional PCA and AIA methods under harsh conditions. Both simulation and experiment results demonstrate that the new proposed method provides an effective way, with high precision and robustness against noise, for phase retrieval.
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spelling ntu-10356/874862022-02-16T16:26:13Z Precise phase retrieval under harsh conditions by constructing new connected interferograms Deng, Jian Wu, Dan Wang, Kai Vargas, Javier School of Electrical and Electronic Engineering Interferograms Information Retrieval DRNTU::Engineering::Electrical and electronic engineering To date, no phase-shifting method can accurately retrieve the phase map from a small set of noisy interferograms with low phase-shifts. In this Letter, we develop a novel approach to resolve this limitation under such harsh conditions. The proposed new method is based on constructing a set of connected interferograms by means of simple subtraction and addition operations, in which all the subset of interferograms have the same phase-shift interval of π/2. According to this characteristic, this set of connected interferograms can be processed with conventional phase retrieval methods as PCA or AIA obtaining accurate results. The reduction in the RMS errors after using our method reaches as high as 93.7% and 89.3% respectively comparing with conventional PCA and AIA methods under harsh conditions. Both simulation and experiment results demonstrate that the new proposed method provides an effective way, with high precision and robustness against noise, for phase retrieval. Published version 2018-11-29T01:05:29Z 2019-12-06T16:42:55Z 2018-11-29T01:05:29Z 2019-12-06T16:42:55Z 2016 Journal Article Deng, J., Wu, D., Wang, K., & Vargas, J. (2016). Precise phase retrieval under harsh conditions by constructing new connected interferograms. Scientific Reports, 6, 24416-. doi:10.1038/srep24416 https://hdl.handle.net/10356/87486 http://hdl.handle.net/10220/46723 10.1038/srep24416 27074821 en Scientific Reports © 2016 The Authors (Nature Publishing Group). This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ 10 p. application/pdf
spellingShingle Interferograms
Information Retrieval
DRNTU::Engineering::Electrical and electronic engineering
Deng, Jian
Wu, Dan
Wang, Kai
Vargas, Javier
Precise phase retrieval under harsh conditions by constructing new connected interferograms
title Precise phase retrieval under harsh conditions by constructing new connected interferograms
title_full Precise phase retrieval under harsh conditions by constructing new connected interferograms
title_fullStr Precise phase retrieval under harsh conditions by constructing new connected interferograms
title_full_unstemmed Precise phase retrieval under harsh conditions by constructing new connected interferograms
title_short Precise phase retrieval under harsh conditions by constructing new connected interferograms
title_sort precise phase retrieval under harsh conditions by constructing new connected interferograms
topic Interferograms
Information Retrieval
DRNTU::Engineering::Electrical and electronic engineering
url https://hdl.handle.net/10356/87486
http://hdl.handle.net/10220/46723
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