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dc.contributor.author | Tung, Michael Ming-Sha | es_ES |
dc.date.accessioned | 2018-07-16T06:50:56Z | |
dc.date.available | 2018-07-16T06:50:56Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0377-0427 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/105832 | |
dc.description.abstract | [EN] Novel advances in the field of metamaterial research have permitted the engineering of devices with extraordinary characteristics. Here, we explore the possibilities in transformation acoustics to implement a model for the simulation of acoustic wave propagation on the Poincaré half-plane¿the simplest model possessing hyperbolic geometry and also of considerable historical interest. We start off from a variational principle on the given spacetime manifold to find the design description of the model in the laboratory. After examining some significant geometrical and physical properties of the Poincaré half-plane model, we derive a general formal solution for its acoustic wave propagation. A numerical example for the evolution of the acoustic potential on a rectangular region of the Poincaré half-plane concludes this discussion. | es_ES |
dc.description.sponsorship | M.M.T. wishes to thank the Spanish Ministerio de Economia y Competitividad and the European Regional Development Fund (ERDF) for financial support under grant TIN2014-59294-P. | |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Acoustic analogue model of gravity | es_ES |
dc.subject | Differential geometry | es_ES |
dc.subject | Variational principles of physics | es_ES |
dc.subject | Manifolds | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Modelling acoustics on the Poincaré half-plane | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.cam.2017.10.037 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2014-59294-P/ES/FUNCIONES DE MATRICES: CALCULO Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Tung, MM. (2018). Modelling acoustics on the Poincaré half-plane. Journal of Computational and Applied Mathematics. 337:366-372. https://doi.org/10.1016/j.cam.2017.10.037 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.cam.2017.10.037 | es_ES |
dc.description.upvformatpinicio | 366 | es_ES |
dc.description.upvformatpfin | 372 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 337 | es_ES |
dc.relation.pasarela | S\353589 | es_ES |
dc.contributor.funder | Ministerio de Economía, Industria y Competitividad | es_ES |