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Coherent Imaging without Phases

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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.date.accessioned2021-04-06T14:50:39Z
dc.date.available2021-04-06T14:50:39Z
dc.date.issued2016-01-01
dc.description.abstractIn this paper we consider narrow band, active array imaging of weak localized scatterers when only the intensities are recorded at an array with N transducers. We consider that the medium is homogeneous and, hence, wave propagation is fully coherent. This work is an extension of our previous paper [21] where we showed that using linear combinations of intensity-only measurements, obtained from N2 illuminations, imaging of localized scatterers can be carried out e_ciently using imaging methods based on the singular value decomposition of the time-reversal matrix. Here we show the same strategy can be accomplished with only 3N¬¬-2 illuminations, herefore reducing enormously the data acquisition process. Furthermore, we show that in the paraxial regime one can form the images by using six illuminations only. In particular, this paraxial regime includes Fresnel and Fraunhofer di_raction. The key point of this work is that if one controls the illuminations, imaging with intensity-only can be easily reduced to a imaging with phases and, therefore, one can apply standard imaging techniques. Detailed numerical simulations illustrate the performance of the proposed imaging strategy with and without data noise.en
dc.format.extent19
dc.identifier.bibliographicCitationMoscoso, M., Novikov, A. and Papanicolaou, G. (2016). Coherent Imaging without Phases. SIAM J. Imaging Sci., 9(4), 1689–1707
dc.identifier.doihttps://doi.org/10.1137/16M1064830
dc.identifier.issn1936-4954
dc.identifier.publicationfirstpage1689
dc.identifier.publicationissue4
dc.identifier.publicationlastpage1707
dc.identifier.publicationtitleSIAM Journal on Imaging Sciences
dc.identifier.publicationvolume9
dc.identifier.urihttps://hdl.handle.net/10016/32280
dc.identifier.uxxiAR/0000019144
dc.language.isoeng
dc.publisherSIAM (Society for Industrial and Applied Mathematics)
dc.rights© 2016, Society for Industrial and Applied Mathematics
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherArray imagingen
dc.subject.otherPhase retrievalen
dc.subject.otherTime-reversalen
dc.subject.otherRetrievalen
dc.subject.otherCrystallographyen
dc.subject.otherOptimizationen
dc.subject.otherIntensityen
dc.subject.otherAlgorithmen
dc.subject.otherContrasten
dc.subject.otherTargetsen
dc.titleCoherent Imaging without Phaseses
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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