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.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.relation.projectID |
info:eu-repo/grantAgreement/ESA//4000104572%2F11%2FNL%2FKML/ |
es_ES |
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 |
|
dc.contributor.funder |
European Space Agency |
es_ES |