Periodic strings: A mechanical analogy to photonic and phononic crystals.
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| Title: | Periodic strings: A mechanical analogy to photonic and phononic crystals. |
|---|---|
| Authors: | Pitombo, R. S.1 (AUTHOR) rs.pitombo@unesp.br, Vasconcellos, M.2 (AUTHOR) mateusvsiqueira@gmail.com, Abrantes, P. P.3 (AUTHOR) ppabrantes91@gmail.com, de Melo e Souza, Reinaldo2 (AUTHOR) reinaldos@id.uff.br, Penello, G. M.4 (AUTHOR) gpenello@if.ufrj.br, Farina, C.4 (AUTHOR) farina@if.ufrj.br |
| Source: | American Journal of Physics. Feb2024, Vol. 92 Issue 2, p108-114. 7p. |
| Subjects: | Photonic crystals, Theory of wave motion, Analogy, Frequencies of oscillating systems, Phononic crystals |
| Abstract: | We 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. [ABSTRACT FROM AUTHOR] |
| Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 174969627 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Periodic strings: A mechanical analogy to photonic and phononic crystals. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pitombo%2C+R%2E+S%2E%22">Pitombo, R. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rs.pitombo@unesp.br</i><br /><searchLink fieldCode="AR" term="%22Vasconcellos%2C+M%2E%22">Vasconcellos, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mateusvsiqueira@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Abrantes%2C+P%2E+P%2E%22">Abrantes, P. P.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> ppabrantes91@gmail.com</i><br /><searchLink fieldCode="AR" term="%22de+Melo+e+Souza%2C+Reinaldo%22">de Melo e Souza, Reinaldo</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> reinaldos@id.uff.br</i><br /><searchLink fieldCode="AR" term="%22Penello%2C+G%2E+M%2E%22">Penello, G. M.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> gpenello@if.ufrj.br</i><br /><searchLink fieldCode="AR" term="%22Farina%2C+C%2E%22">Farina, C.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> farina@if.ufrj.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22American+Journal+of+Physics%22">American Journal of Physics</searchLink>. Feb2024, Vol. 92 Issue 2, p108-114. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Photonic+crystals%22">Photonic crystals</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Analogy%22">Analogy</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Phononic+crystals%22">Phononic crystals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1119/5.0094212 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 108 Subjects: – SubjectFull: Photonic crystals Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Analogy Type: general – SubjectFull: Frequencies of oscillating systems Type: general – SubjectFull: Phononic crystals Type: general Titles: – TitleFull: Periodic strings: A mechanical analogy to photonic and phononic crystals. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pitombo, R. S. – PersonEntity: Name: NameFull: Vasconcellos, M. – PersonEntity: Name: NameFull: Abrantes, P. P. – PersonEntity: Name: NameFull: de Melo e Souza, Reinaldo – PersonEntity: Name: NameFull: Penello, G. M. – PersonEntity: Name: NameFull: Farina, C. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00029505 Numbering: – Type: volume Value: 92 – Type: issue Value: 2 Titles: – TitleFull: American Journal of Physics Type: main |
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