dc.creator | Luque Raigón, J M | es |
dc.creator | Halme, Janne | es |
dc.creator | Míguez García, Hernán Ruy | es |
dc.creator | Lozano Barbero, Gabriel Sebastián | es |
dc.date.accessioned | 2018-02-08T15:38:40Z | |
dc.date.available | 2018-02-08T15:38:40Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Luque Raigón, J.M., Halme, J., Míguez García, H.R. y Lozano Barbero, G.S. (2013). Symmetry analysis of the numerical instabilities in the transfer matrix method. Journal of Optics, 15 (12), 125719-. | |
dc.identifier.issn | 2040-8978 (impreso) | es |
dc.identifier.issn | 2040-8986 (electrónico) | es |
dc.identifier.uri | https://hdl.handle.net/11441/70137 | |
dc.description.abstract | This paper discusses the numerical exponential instability of the transfer matrix method (TMM) in the framework of the symmetry formalism. This numerical weakness is attributed to a series of increasingly extreme exponentials that appear in the TMM when it is applied to geometries involving total internal reflection (TIR) or very high absorption. We design a TMM formalism that identifies the internal symmetries of the multilayer geometry. These symmetries suggest particular transformations of a reference system in the TMM that improve its ill-conditioned exponentials. To illustrate the numerical improvements, we present examples with calculations of electric fields. | es |
dc.description.sponsorship | Nordic Innovation Center 09053 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MAT2011-23593, CSD2007-00007 | es |
dc.description.sponsorship | Junta de Andalucía FQM- 3579, FQM-5247 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Institute of Physics Publishing | es |
dc.relation.ispartof | Journal of Optics, 15 (12), 125719-. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Analytical solution | es |
dc.subject | Numerical instability | es |
dc.subject | Internal symmetries | es |
dc.subject | Absorption | es |
dc.subject | Total internal reflection | es |
dc.subject | Transfer matrix method | es |
dc.title | Symmetry analysis of the numerical instabilities in the transfer matrix method | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.relation.projectID | 09053 | es |
dc.relation.projectID | MAT2011-23593 | es |
dc.relation.projectID | CSD2007-00007 | es |
dc.relation.projectID | FQM- 3579 | es |
dc.relation.projectID | FQM-5247 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1088/2040-8978/15/12/125719 | es |
dc.identifier.doi | 10.1088/2040-8978/15/12/125719 | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | Journal of Optics | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 12 | es |
dc.publication.initialPage | 125719 | es |