Multifrequency interferometric imaging with intensity-only measurements

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Show simple item record Moscoso, Miguel Novikov, Alexei Papanicolaou, George Tsogka, Chrysoula 2021-04-13T08:19:01Z 2021-04-13T08:19:01Z 2017-07-26
dc.identifier.bibliographicCitation Moscoso, M., Novikov, A., Papanicolaou, G. & Tsogka, C. (2017). Multifrequency Interferometric Imaging with Intensity-Only Measurements. SIAM Journal on Imaging Sciences, 10(3), pp. 1005–1032.
dc.identifier.issn 1936-4954
dc.description.abstract We propose an illumination strategy for interferometric imaging that allows for robust depth recovery from intensity-only measurements. For an array with colocated sources and receivers, we show that all the possible interferometric data for multiple sources, receivers, and frequencies can be recovered from intensity-only measurements provided that we have sufficient source location and frequency illumination diversity. There is no need for phase reconstruction in this approach. Using interferometric imaging methods we show that in homogeneous media there is no loss of resolution when imaging with intensities only. If in these imaging methods we reduce incoherence by restricting the multifrequency interferometric data to nearby array elements and nearby frequencies we obtain robust images in weakly inhomogeneous background media with a somewhat reduced resolution.
dc.description.sponsorship The work of the authors was partially supported by AFOSR FA9550-14-1-0275. The work of the first author was supported by the Spanish MICINN grants FIS2013-41802-R and FIS2016-77892-R. The work of the second author was partially supported by NSF DMS-1515187.
dc.format.extent 28
dc.language.iso eng
dc.publisher Society for Industrial and Applied Mathematics (SIAM)
dc.rights © 2017, Society for Industrial and Applied Mathematics
dc.subject.other Array imaging
dc.subject.other Phase retrieval
dc.title Multifrequency interferometric imaging with intensity-only measurements
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2013-41802-R
dc.relation.projectID Gobierno de España. FIS2016-77892-R
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1005
dc.identifier.publicationissue 3
dc.identifier.publicationlastpage 1032
dc.identifier.publicationtitle SIAM Journal on Imaging Sciences
dc.identifier.publicationvolume 10
dc.identifier.uxxi AR/0000020554
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto UC3M. Departamento de Matemáticas
dc.affiliation.instituto UC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbany
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Métodos Numéricos y Aplicaciones
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