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Three-dimensional imaging from single-element holographic data

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Métodos Numéricos y Aplicacioneses
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorMoscoso, Miguel
dc.contributor.authorNovikov, Alexei
dc.contributor.authorPapanicolaou, George
dc.contributor.authorTsogka, Chrysoula
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-29T11:01:47Z
dc.date.available2022-02-01T00:00:05Z
dc.date.issued2021-02-01
dc.description.abstractWe present a holographic imaging approach for the case in which a single source-detector pair is used to scan a sample. The source-detector pair collects intensity-only data at different frequencies and positions. By using an appropriate illumination strategy, we recover field cross correlations over different frequencies for each scan location. The problem is that these field cross correlations are asynchronized, so they have to be aligned first in order to image coherently. This is the main result of the paper: a simple algorithm to synchronize field cross correlations at different locations. Thus, one can recover full field data up to a global phase that is common to all scan locations. The recovered data are, then, coherent over space and frequency so they can be used to form high-resolution three-dimensional images. Imaging with intensity-only data is therefore as good as coherent imaging with full data. In addition, we use an ℓ1-norm minimization algorithm that promotes the low dimensional structure of the images, allowing for deep high-resolution imaging.en
dc.description.sponsorshipThe work of MM was partially supported by spanish grant MICINN FIS2016-77892-R. The work of AN was partially supported by NSF DMS-1813943 and AFOSR FA9550-20-1-0026. The work of G. Papanicolaou was partially supported by AFOSR FA9550-18-1-0519. The work of C. Tsogka was partially supported by AFOSR FA9550-17-1-0238 and FA9550-18-1-0519.en
dc.format.extent6
dc.identifier.bibliographicCitationMoscoso, M., Novikov, A., Papanicolaou, G. & Tsogka, C. (2021). Three-dimensional imaging from single-element holographic data. Journal of the Optical Society of America A, 38(2), A1-A6.en
dc.identifier.doihttps://doi.org/10.1364/JOSAA.402396
dc.identifier.issn1084-7529
dc.identifier.publicationfirstpageA1
dc.identifier.publicationissue2
dc.identifier.publicationlastpageA6
dc.identifier.publicationtitleJournal of the Optical Society of America Aen
dc.identifier.publicationvolume38
dc.identifier.urihttps://hdl.handle.net/10016/32511
dc.identifier.uxxiAR/0000026685
dc.language.isoeng
dc.publisherOptical Society of America (OSA)en
dc.relation.projectIDGobierno de España. FIS2016-77892-Res
dc.rights© 2020 Optical Society of America.en
dc.rights.accessRightsopen access
dc.subject.ecienciaÓpticaes
dc.subject.otherComputational imagingen
dc.subject.otherFourier transformsen
dc.subject.otherImaging techniquesen
dc.subject.otherPhase retrievalen
dc.subject.otherThree dimensional imagingen
dc.subject.otherWave propagationen
dc.titleThree-dimensional imaging from single-element holographic dataen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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