Rough surface reconstruction from phaseless single frequency data at grazing angles

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cam.issuedOnline2018-10-18
dc.contributor.authorChen, Yuxuan
dc.contributor.authorRath-Spivack, Orsola
dc.contributor.authorSpivack, M
dc.contributor.orcidRath-Spivack, Orsola [0000-0003-1457-151X]
dc.contributor.orcidSpivack, Mark [0000-0002-1876-950X]
dc.date.accessioned2018-11-22T00:32:35Z
dc.date.available2018-11-22T00:32:35Z
dc.date.issued2018-10-04
dc.description.abstractWe develop a method for the reconstruction of a perfectly reflecting rough surface from phaseless measurements of a field arising from single frequency scattering at grazing angles. Formulations are given for both Dirichlet and Neumann boundary conditions, and numerical experiments are presented in which close agreement is found with the exact solution. The approach is a marching method based on the parabolic integral equation, which recovers the surface progressively in range, and is iterated a small number of times to produce the final result. It is found that the approach is robust with respect to spatially localized perturbations and to measurement noise.
dc.identifier.doi10.17863/CAM.33018
dc.identifier.eissn1361-6420
dc.identifier.issn0266-5611
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/285666
dc.publisherIoP
dc.publisher.urlhttp://dx.doi.org/10.1088/1361-6420/aae1e9
dc.subjectinverse scattering
dc.subjectiterated marching method
dc.subjectrough surface reconstruction
dc.subjectgrazing incidence
dc.titleRough surface reconstruction from phaseless single frequency data at grazing angles
dc.typeArticle
dcterms.dateAccepted2018-09-17
prism.publicationDate2018
prism.publicationNameInverse Problems
rioxxterms.licenseref.startdate2018-10-04
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.1088/1361-6420/aae1e9
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