Principal Component Analysis of Results Obtained from Finite-Difference Time-Domain Algorithms

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dc.contributor.authorLópez Alonso, José Manuel
dc.contributor.authorRico García, José María
dc.contributor.authorAlda Serrano, Javier
dc.date.accessioned2023-06-20T11:17:53Z
dc.date.available2023-06-20T11:17:53Z
dc.date.issued2006
dc.descriptionAccesible a texto completo en la web del editor.
dc.description.abstractFinite-Differences Time-Domain (FDTD) algorithms are well established tools of computational electromagnetism. Because of their practical implementation as computer codes, they are affected by many numerical artefact and noise. In order to obtain better results we propose using Principal Component Analysis (PCA) based on multivariate statistical techniques. The PCA has been successfully used for the analysis of noise and spatial temporal structure in a sequence of images. It allows a straightforward discrimination between the numerical noise and the actual electromagnetic variables, and the quantitative estimation of their respective contributions. Besides, The GDTD results can be filtered to clean the effect of the noise. In this contribution we will show how the method can be applied to several FDTD simulations: the propagation of a pulse in vacuum, the analysis of two-dimensional photonic crystals. In this last case, PCA has revealed hidden electromagnetic structures related to actual modes of the photonic crystal.en
dc.description.departmentSección Deptal. de Óptica (Óptica)
dc.description.facultyFac. de Óptica y Optometría
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.sponsorshipConsejería de Educación of the Comunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/38616
dc.identifier.issn1012-5566
dc.identifier.officialurlhttp://egmrs.powweb.com/EJS/PDF/vo291/19.pdf
dc.identifier.relatedurlhttp://egmrs.powweb.com/EJS/PDF/vo291/index.htm
dc.identifier.relatedurlhttp://cisne.sim.ucm.es/record=b3528557~S6*spi
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51930
dc.issue.number1
dc.journal.titleEgyptian Journal of Solids
dc.language.isoeng
dc.page.final34
dc.page.initial19
dc.publisherThe Egyptian Society of Solid State Science
dc.relation.projectIDTIC2001-1259
dc.relation.projectIDGR/MAT/0497/2004
dc.rights.accessRightsopen access
dc.subject.cdu537.533.3
dc.subject.cdu537.8
dc.subject.cdu535
dc.subject.keywordFinite-Differences Time-Domain
dc.subject.keyword(FDTD)
dc.subject.keywordcomputational electromagnetism
dc.subject.keywordPrincipal Component Analysis (PCA)
dc.subject.keywordphotonic crystal
dc.subject.ucmElectromagnetismo
dc.subject.ucmÓptica (Física)
dc.subject.ucmÓptica física, óptica cuántica
dc.subject.unesco2202 Electromagnetismo
dc.subject.unesco2209.19 Óptica Física
dc.subject.unesco2209.19 Óptica física
dc.titlePrincipal Component Analysis of Results Obtained from Finite-Difference Time-Domain Algorithmsen
dc.typejournal article
dc.volume.number29
dspace.entity.typePublication
relation.isAuthorOfPublicatione52aef01-c246-4f9f-9cfd-d9dfb2a8ee79
relation.isAuthorOfPublicationf83d6ebf-28e1-4568-ac27-e4db5acfc6dd
relation.isAuthorOfPublicationa5f0b8a9-10aa-4bf8-9527-e94b095468b8
relation.isAuthorOfPublication.latestForDiscoverye52aef01-c246-4f9f-9cfd-d9dfb2a8ee79
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