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
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
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
_version_	1718389006107934720

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

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