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A fundamental Lagrangian approach to transformation acoustics and spherical spacetime cloaking

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A fundamental Lagrangian approach to transformation acoustics and spherical spacetime cloaking

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dc.contributor.author Tung ., Michael Ming-Sha es_ES
dc.date.accessioned 2013-06-25T12:46:49Z
dc.date.issued 2012
dc.identifier.issn 0295-5075
dc.identifier.uri http://hdl.handle.net/10251/30093
dc.description.abstract [EN] Transformation acoustics centers on the construction of advanced acoustic devices by combining mathematical transformation techniques with the engineering of acoustic metamaterials. We show how di¿erential-geometric methods together with a variational principle form the basis of a powerful framework to control acoustic waves as desired. This formalism is required to leave the acoustic wave equation invariant under coordinate transformations and is shown to consist of a proposed acoustic Lagrangian function on a smooth spacetime manifold. As an immediate consequence, we can derive the general constitutive relations between the acoustic parameters (bulk modulus and mass-density tensor) of the physical and virtual spaces under consideration. We conclude with a practical application of this theory by presenting acoustic spherical cloaking with time dilation. es_ES
dc.description.sponsorship The author thanks SANTE CARLONI for valuable discussions and acknowledges partial support by the European Space Agency (project No. 4000104572/11/NL/KML). en_EN
dc.language Inglés es_ES
dc.publisher European Physical Society es_ES
dc.relation European Space Agency (project no. 4000104572/11/NL/KML) es_ES
dc.relation.ispartof EPL es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cloaking es_ES
dc.subject Lagrangians es_ES
dc.subject Transformation acoustics es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A fundamental Lagrangian approach to transformation acoustics and spherical spacetime cloaking es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1209/0295-5075/98/34002
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Tung ., MM. (2012). A fundamental Lagrangian approach to transformation acoustics and spherical spacetime cloaking. EPL. 98:34002-34006. doi:10.1209/0295-5075/98/34002 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://iopscience.iop.org/0295-5075/98/3/34002/pdf/0295-5075_98_3_34002.pdf es_ES
dc.description.upvformatpinicio 34002 es_ES
dc.description.upvformatpfin 34006 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 98 es_ES
dc.relation.senia 236952
dc.identifier.eissn 1286-4854


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