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Periodic strings: A mechanical analogy to photonic and phononic crystals

dc.contributor.authorPitombo, R. S. [UNESP]
dc.contributor.authorVasconcellos, M.
dc.contributor.authorAbrantes, P. P.
dc.contributor.authorde Melo e Souza, Reinaldo
dc.contributor.authorPenello, G. M.
dc.contributor.authorFarina, C.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade Federal Fluminense (UFF)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.contributor.institutionUniversidade Federal do Rio de Janeiro (UFRJ)
dc.date.accessioned2025-04-29T18:42:34Z
dc.date.issued2024-02-01
dc.description.abstractWe present a theoretical study of a periodic vibrating string composed of a finite sequence of string segments connected periodically, with each segment characterized by a constant linear mass density. The main purpose is to provide a model that can mimic the properties of photonic or phononic crystals. This system displays frequency intervals for which wave propagation is not allowed (frequency bandgaps), in close analogy to photonic and phononic crystals. We discuss the behavior of these bandgaps when varying physical parameters, such as the values of the linear mass densities, the oscillation frequency, and the number of string segments constituting the entire system.en
dc.description.affiliationInstituto de Física Teórica UNESP Universidade Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271 SP
dc.description.affiliationInstituto de Física Universidade Federal Fluminense, RJ
dc.description.affiliationDepartamento de Física Universidade Federal de São Carlos, Rodovia Washington Luís, km 235-SP-310 SP
dc.description.affiliationInstituto de Física Universidade Federal do Rio de Janeiro, RJ
dc.description.affiliationUnespInstituto de Física Teórica UNESP Universidade Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271 SP
dc.format.extent108-114
dc.identifierhttp://dx.doi.org/10.1119/5.0094212
dc.identifier.citationAmerican Journal of Physics, v. 92, n. 2, p. 108-114, 2024.
dc.identifier.doi10.1119/5.0094212
dc.identifier.issn1943-2909
dc.identifier.issn0002-9505
dc.identifier.scopus2-s2.0-85183309384
dc.identifier.urihttps://hdl.handle.net/11449/299501
dc.language.isoeng
dc.relation.ispartofAmerican Journal of Physics
dc.sourceScopus
dc.titlePeriodic strings: A mechanical analogy to photonic and phononic crystalsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0001-7573-1551[1]
unesp.author.orcid0000-0002-6854-2223[3]
unesp.author.orcid0000-0002-6806-4567[4]
unesp.author.orcid0000-0001-9067-6407[5]
unesp.author.orcid0000-0002-0402-3723[6]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica, São Paulopt

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