Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry

Abstract In optics, when interferograms or digital holograms are recorded and their phase is recovered, it is common to obtain a wrapped phase with some errors, noise and artifacts such as singularities due to the non linearities of the demodulation process. This paper shows how to reconstruct the f...

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Autores principales: Julio C. Estrada, Jose L. Marroquin, Orlando M. Medina
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/2e7c1bfeeb37405cafa2eea518eb8858
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spelling oai:doaj.org-article:2e7c1bfeeb37405cafa2eea518eb88582021-12-02T15:04:54ZReconstruction of local frequencies for recovering the unwrapped phase in optical interferometry10.1038/s41598-017-06801-z2045-2322https://doaj.org/article/2e7c1bfeeb37405cafa2eea518eb88582017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06801-zhttps://doaj.org/toc/2045-2322Abstract In optics, when interferograms or digital holograms are recorded and their phase is recovered, it is common to obtain a wrapped phase with some errors, noise and artifacts such as singularities due to the non linearities of the demodulation process. This paper shows how to reconstruct the frequency field of the wrapped phase by using adaptive Gabor filters. Gabor filters are Gaussian quadrature filters tuned in at a certain frequency. We adapt these Gabor filters by tuning them locally and estimating the frequency using wrapped finite differences of the estimated phase. Doing this process iteratively, the frequency estimation is refined and smoothed. The unwrapped phase is easily recovered by integrating the recovered frequency field using, for example, a simple line raster integration. We don’t have problems with phase inconsistencies or residues while integrating the phase, because these are removed. The obtained unwrapped phase is clean, consistent and practically error-free. We show estimation errors with simulated data and the performance of the proposed method using real-world recorded wavefronts.Julio C. EstradaJose L. MarroquinOrlando M. MedinaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Julio C. Estrada
Jose L. Marroquin
Orlando M. Medina
Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
description Abstract In optics, when interferograms or digital holograms are recorded and their phase is recovered, it is common to obtain a wrapped phase with some errors, noise and artifacts such as singularities due to the non linearities of the demodulation process. This paper shows how to reconstruct the frequency field of the wrapped phase by using adaptive Gabor filters. Gabor filters are Gaussian quadrature filters tuned in at a certain frequency. We adapt these Gabor filters by tuning them locally and estimating the frequency using wrapped finite differences of the estimated phase. Doing this process iteratively, the frequency estimation is refined and smoothed. The unwrapped phase is easily recovered by integrating the recovered frequency field using, for example, a simple line raster integration. We don’t have problems with phase inconsistencies or residues while integrating the phase, because these are removed. The obtained unwrapped phase is clean, consistent and practically error-free. We show estimation errors with simulated data and the performance of the proposed method using real-world recorded wavefronts.
format article
author Julio C. Estrada
Jose L. Marroquin
Orlando M. Medina
author_facet Julio C. Estrada
Jose L. Marroquin
Orlando M. Medina
author_sort Julio C. Estrada
title Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
title_short Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
title_full Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
title_fullStr Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
title_full_unstemmed Reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
title_sort reconstruction of local frequencies for recovering the unwrapped phase in optical interferometry
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/2e7c1bfeeb37405cafa2eea518eb8858
work_keys_str_mv AT juliocestrada reconstructionoflocalfrequenciesforrecoveringtheunwrappedphaseinopticalinterferometry
AT joselmarroquin reconstructionoflocalfrequenciesforrecoveringtheunwrappedphaseinopticalinterferometry
AT orlandommedina reconstructionoflocalfrequenciesforrecoveringtheunwrappedphaseinopticalinterferometry
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