Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry

It is well known that having 3 temporal phase shifting (PS) interferograms we do not have many possibilities of using an algorithm with a desired frequency spectrum, detuning, and harmonic robustness. This imposes severe restrictions on the possibilities to demodulate such set of temporal interferog...

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Authors: Quiroga Mellado, Juan Antonio, Servín Guirado, Manuel, Cywiak Garbarcewics, Moisés, Malacara Hernández, Daniel, Estrada, Julio César
Format: article
Publication Date:2008
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/50783
Online Access:https://hdl.handle.net/20.500.14352/50783
Access Level:Open access
Keyword:535
Optics
Óptica (Física)
2209.19 Óptica Física
id ES_2b4abce5d24ddb9a92f3eaa9da983126
oai_identifier_str oai:docta.ucm.es:20.500.14352/50783
network_acronym_str ES
network_name_str España
repository_id_str
spelling Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing InterferometryQuiroga Mellado, Juan AntonioServín Guirado, ManuelCywiak Garbarcewics, MoisésMalacara Hernández, DanielEstrada, Julio César535OpticsÓptica (Física)2209.19 Óptica FísicaIt is well known that having 3 temporal phase shifting (PS) interferograms we do not have many possibilities of using an algorithm with a desired frequency spectrum, detuning, and harmonic robustness. This imposes severe restrictions on the possibilities to demodulate such set of temporal interferograms. It would be nice to apply for example a 7 step PS algorithm to these 3 images in order to have more possibilities to phase demodulate them; even further, it would be even better to apply a quadrature filter having a spatial spread given by a real number to these 3 interferograms. In this paper we propose to do just that; namely we show how to demodulate a set of M-steps phase shifting images with a quadrature filter having a real-number as spatial spread. The interesting thing in this paper is to use a higher than M spread quadrature filter to demodulate our interferograms; in traditional PS interferometry one is stuck to the use of M step phase shifting formula to obtain the searched phase. Using a less than M PS formula is not interesting at all given that we would not use all the available information. The main idea behind the "squeezing" phase shifting method is to re-arrange the information of the M phase shifted fringe patterns in such a way to obtain a single carrier frequency interferogram (a spatio-temporal fringe image) and use any two dimensional quadrature filter to demodulate it. In particular we propose the use of Gabor quadrature filters with a spread given by real-numbers along the spatial coordinates. The Gabor filter may be designed in such way that we may squeeze the frequency response of the filter along any desired spatio-temporal dimension, and obtain better signal to noise demodulation ratio, and better harmonic rejection on the estimated phase.The Optical Society Of AmericaUniversidad Complutense de Madrid20082008-06-2320082008-06-23journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/50783reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/507832026-06-02T12:44:21Z
dc.title.none.fl_str_mv Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
title Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
spellingShingle Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
Quiroga Mellado, Juan Antonio
535
Optics
Óptica (Física)
2209.19 Óptica Física
title_short Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
title_full Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
title_fullStr Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
title_full_unstemmed Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
title_sort Spatial carrier interferometry from M temporal phase shifted interferograms: Squeezing Interferometry
dc.creator.none.fl_str_mv Quiroga Mellado, Juan Antonio
Servín Guirado, Manuel
Cywiak Garbarcewics, Moisés
Malacara Hernández, Daniel
Estrada, Julio César
author Quiroga Mellado, Juan Antonio
author_facet Quiroga Mellado, Juan Antonio
Servín Guirado, Manuel
Cywiak Garbarcewics, Moisés
Malacara Hernández, Daniel
Estrada, Julio César
author_role author
author2 Servín Guirado, Manuel
Cywiak Garbarcewics, Moisés
Malacara Hernández, Daniel
Estrada, Julio César
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Optics
Óptica (Física)
2209.19 Óptica Física
topic 535
Optics
Óptica (Física)
2209.19 Óptica Física
description It is well known that having 3 temporal phase shifting (PS) interferograms we do not have many possibilities of using an algorithm with a desired frequency spectrum, detuning, and harmonic robustness. This imposes severe restrictions on the possibilities to demodulate such set of temporal interferograms. It would be nice to apply for example a 7 step PS algorithm to these 3 images in order to have more possibilities to phase demodulate them; even further, it would be even better to apply a quadrature filter having a spatial spread given by a real number to these 3 interferograms. In this paper we propose to do just that; namely we show how to demodulate a set of M-steps phase shifting images with a quadrature filter having a real-number as spatial spread. The interesting thing in this paper is to use a higher than M spread quadrature filter to demodulate our interferograms; in traditional PS interferometry one is stuck to the use of M step phase shifting formula to obtain the searched phase. Using a less than M PS formula is not interesting at all given that we would not use all the available information. The main idea behind the "squeezing" phase shifting method is to re-arrange the information of the M phase shifted fringe patterns in such a way to obtain a single carrier frequency interferogram (a spatio-temporal fringe image) and use any two dimensional quadrature filter to demodulate it. In particular we propose the use of Gabor quadrature filters with a spread given by real-numbers along the spatial coordinates. The Gabor filter may be designed in such way that we may squeeze the frequency response of the filter along any desired spatio-temporal dimension, and obtain better signal to noise demodulation ratio, and better harmonic rejection on the estimated phase.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-06-23
2008
2008-06-23
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/50783
url https://hdl.handle.net/20.500.14352/50783
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The Optical Society Of America
publisher.none.fl_str_mv The Optical Society Of America
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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