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dc.contributor.authorMourka, A.
dc.contributor.authorMazilu, M.
dc.contributor.authorWright, E. M.
dc.contributor.authorDholakia, K.
dc.date.accessioned2013-07-30T14:01:02Z
dc.date.available2013-07-30T14:01:02Z
dc.date.issued2013-03-12
dc.identifier.citationMourka , A , Mazilu , M , Wright , E M & Dholakia , K 2013 , ' Modal characterization using principal component analysis : application to Bessel, higher-order Gaussian beams and their superposition ' , Scientific Reports , vol. 3 , 1422 . https://doi.org/10.1038/srep01422en
dc.identifier.issn2045-2322
dc.identifier.otherPURE: 61624400
dc.identifier.otherPURE UUID: 0b953e23-7031-46fd-af35-e4285c4e0100
dc.identifier.otherWOS: 000315938000003
dc.identifier.otherScopus: 84875127714
dc.identifier.urihttp://hdl.handle.net/10023/3893
dc.descriptionThis work was funded by the EPSRC.en
dc.description.abstractThe modal characterization of various families of beams is a topic of current interest. We recently reported a new method for the simultaneous determination of both the azimuthal and radial mode indices for light fields possessing orbital angular momentum. The method is based upon probing the far-field diffraction pattern from a random aperture and using the recorded data as a 'training set'. We then transform the observed data into uncorrelated variables using the principal component analysis (PCA) algorithm. Here, we show the generic nature of this approach for the simultaneous determination of the modal parameters of Hermite-Gaussian and Bessel beams. This reinforces the widespread applicability of this method for applications including information processing, spectroscopy and manipulation. Additionally, preliminary results demonstrate reliable decomposition of superpositions of Laguerre-Gaussians, yielding the intensities and relative phases of each constituent mode. Thus, this approach represents a powerful method for characterizing the optical multi-dimensional Hilbert space.
dc.format.extent8
dc.language.isoeng
dc.relation.ispartofScientific Reportsen
dc.rights© 2013 the authors. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.en
dc.subjectOrbital angular-momentumen
dc.subjectLight-beamsen
dc.subjectDiffractionen
dc.subjectModesen
dc.subjectDecompositionen
dc.subjectInformationen
dc.subjectIntensityen
dc.subjectSystemsen
dc.subjectPlanesen
dc.subjectPhaseen
dc.subjectQ Scienceen
dc.subject.lccQen
dc.titleModal characterization using principal component analysis : application to Bessel, higher-order Gaussian beams and their superpositionen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews.Biomedical Sciences Research Complexen
dc.identifier.doihttps://doi.org/10.1038/srep01422
dc.description.statusPeer revieweden


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