Impedance function calculation for the study of waves in locally periodic arrangements

Autores
Gomez, Bernardo Jose Armando; Repetto, Carlos Enrique; Stia, Carlos Raul; Welti, Reinaldo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we study theoretically the propagation of waves in locally periodic systems. To this end, we employ a simple method based on the impedance function which is similar to the one used in the transmission line theory. Results are presented for the particular cases of mass-loaded strings arrangements. These systems are easily reproducible in laboratory of introductory and/or advanced courses of physics, and contain all the main characteristics of locally periodic media. Transmission coefficient and normal frequencies are calculated for both mono and diatomic chains, and compared with previously computed and experimental data. Moreover, we show that the corresponding eigenfunctions can be obtained easily from the knowledge of the impedance function.
Fil: Gomez, Bernardo Jose Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Stia, Carlos Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Welti, Reinaldo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
Impedance Function
Locally Periodic Medium
Transmission
Normal Modes
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/6148
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Impedance function calculation for the study of waves in locally periodic arrangementsGomez, Bernardo Jose ArmandoRepetto, Carlos EnriqueStia, Carlos RaulWelti, ReinaldoImpedance FunctionLocally Periodic MediumTransmissionNormal Modeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this paper, we study theoretically the propagation of waves in locally periodic systems. To this end, we employ a simple method based on the impedance function which is similar to the one used in the transmission line theory. Results are presented for the particular cases of mass-loaded strings arrangements. These systems are easily reproducible in laboratory of introductory and/or advanced courses of physics, and contain all the main characteristics of locally periodic media. Transmission coefficient and normal frequencies are calculated for both mono and diatomic chains, and compared with previously computed and experimental data. Moreover, we show that the corresponding eigenfunctions can be obtained easily from the knowledge of the impedance function.Fil: Gomez, Bernardo Jose Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Stia, Carlos Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Welti, Reinaldo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaIOP Publishing2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/6148Gomez, Bernardo Jose Armando; Repetto, Carlos Enrique; Stia, Carlos Raul; Welti, Reinaldo; Impedance function calculation for the study of waves in locally periodic arrangements; IOP Publishing; European Journal of Physics; 26; 5; 8-2015; 055034-0550340143-0807enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0143-0807/36/5/055034info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/36/5/055034info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:57Zoai:ri.conicet.gov.ar:11336/6148instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:58:57.979CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Impedance function calculation for the study of waves in locally periodic arrangements
title Impedance function calculation for the study of waves in locally periodic arrangements
spellingShingle Impedance function calculation for the study of waves in locally periodic arrangements
Gomez, Bernardo Jose Armando
Impedance Function
Locally Periodic Medium
Transmission
Normal Modes
title_short Impedance function calculation for the study of waves in locally periodic arrangements
title_full Impedance function calculation for the study of waves in locally periodic arrangements
title_fullStr Impedance function calculation for the study of waves in locally periodic arrangements
title_full_unstemmed Impedance function calculation for the study of waves in locally periodic arrangements
title_sort Impedance function calculation for the study of waves in locally periodic arrangements
dc.creator.none.fl_str_mv Gomez, Bernardo Jose Armando
Repetto, Carlos Enrique
Stia, Carlos Raul
Welti, Reinaldo
author Gomez, Bernardo Jose Armando
author_facet Gomez, Bernardo Jose Armando
Repetto, Carlos Enrique
Stia, Carlos Raul
Welti, Reinaldo
author_role author
author2 Repetto, Carlos Enrique
Stia, Carlos Raul
Welti, Reinaldo
author2_role author
author
author
dc.subject.none.fl_str_mv Impedance Function
Locally Periodic Medium
Transmission
Normal Modes
topic Impedance Function
Locally Periodic Medium
Transmission
Normal Modes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we study theoretically the propagation of waves in locally periodic systems. To this end, we employ a simple method based on the impedance function which is similar to the one used in the transmission line theory. Results are presented for the particular cases of mass-loaded strings arrangements. These systems are easily reproducible in laboratory of introductory and/or advanced courses of physics, and contain all the main characteristics of locally periodic media. Transmission coefficient and normal frequencies are calculated for both mono and diatomic chains, and compared with previously computed and experimental data. Moreover, we show that the corresponding eigenfunctions can be obtained easily from the knowledge of the impedance function.
Fil: Gomez, Bernardo Jose Armando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Repetto, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Stia, Carlos Raul. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Instituto de Física de Rosario (i); Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Welti, Reinaldo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description In this paper, we study theoretically the propagation of waves in locally periodic systems. To this end, we employ a simple method based on the impedance function which is similar to the one used in the transmission line theory. Results are presented for the particular cases of mass-loaded strings arrangements. These systems are easily reproducible in laboratory of introductory and/or advanced courses of physics, and contain all the main characteristics of locally periodic media. Transmission coefficient and normal frequencies are calculated for both mono and diatomic chains, and compared with previously computed and experimental data. Moreover, we show that the corresponding eigenfunctions can be obtained easily from the knowledge of the impedance function.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/6148
Gomez, Bernardo Jose Armando; Repetto, Carlos Enrique; Stia, Carlos Raul; Welti, Reinaldo; Impedance function calculation for the study of waves in locally periodic arrangements; IOP Publishing; European Journal of Physics; 26; 5; 8-2015; 055034-055034
0143-0807
url http://hdl.handle.net/11336/6148
identifier_str_mv Gomez, Bernardo Jose Armando; Repetto, Carlos Enrique; Stia, Carlos Raul; Welti, Reinaldo; Impedance function calculation for the study of waves in locally periodic arrangements; IOP Publishing; European Journal of Physics; 26; 5; 8-2015; 055034-055034
0143-0807
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0143-0807/36/5/055034
info:eu-repo/semantics/altIdentifier/doi/10.1088/0143-0807/36/5/055034
info:eu-repo/semantics/altIdentifier/doi/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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