Coherent Imaging without Phases

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Show simple item record Moscoso Castro, Miguel Ángel Novikov, Alexei Papanicolaou, George 2021-04-06T14:50:39Z 2021-04-06T14:50:39Z 2016-01-01
dc.identifier.bibliographicCitation Moscoso, M., Novikov, A. and Papanicolaou, G. (2016). Coherent Imaging without Phases. SIAM J. Imaging Sci., 9(4), 1689–1707
dc.identifier.issn 1936-4954
dc.description.abstract In 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.
dc.format.extent 19
dc.language.iso eng
dc.publisher SIAM (Society for Industrial and Applied Mathematics)
dc.rights © 2016, Society for Industrial and Applied Mathematics
dc.subject.other Array imaging
dc.subject.other Phase retrieval
dc.subject.other Time-reversal
dc.subject.other Retrieval
dc.subject.other Crystallography
dc.subject.other Optimization
dc.subject.other Intensity
dc.subject.other Algorithm
dc.subject.other Contrast
dc.subject.other Targets
dc.title Coherent Imaging without Phases
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 1689
dc.identifier.publicationissue 4
dc.identifier.publicationlastpage 1707
dc.identifier.publicationtitle SIAM Journal on Imaging Sciences
dc.identifier.publicationvolume 9
dc.identifier.uxxi AR/0000019144
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