Gravitational frequency shifts in transformation acoustics

In metamaterial acoustics, it is conceivable that any type of fine-tuned acoustic properties far beyond those found in nature may be transferred to an appropriate medium. Effective design and engineering of these modern acoustic metadevices poses one of the forefront challenges in this field. As a p...

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Autores: Tung, Michael Ming-Sha|||0000-0002-8760-0927, Weinmüller, Ewa Barbara
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/51228
Acceso en línea:https://riunet.upv.es/handle/10251/51228
Access Level:acceso abierto
Palabra clave:Transformation acoustics
Field
Cloaking
Analog
MATEMATICA APLICADA
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spelling Gravitational frequency shifts in transformation acousticsTung, Michael Ming-Sha|||0000-0002-8760-0927Weinmüller, Ewa BarbaraTransformation acousticsFieldCloakingAnalogMATEMATICA APLICADAIn metamaterial acoustics, it is conceivable that any type of fine-tuned acoustic properties far beyond those found in nature may be transferred to an appropriate medium. Effective design and engineering of these modern acoustic metadevices poses one of the forefront challenges in this field. As a practical example of a new covariant approach for modelling acoustics on spacetime manifolds, we choose to implement the acoustic analogue of the frequency shift due to gravitational time dilation. In accordance with Einstein's equivalence principle, two different spacetimes, corresponding to uniform acceleration or uniform gravity, are considered. For wave propagation in a uniformly accelerating rigid frame, an acoustic event horizon arises. The discussion includes a detailed numerical analysis for both spacetime geometries. Copyright (c) EPLA, 2013MMT wishes to thank MARKUS SCHOBINGER for an introduction to the SBVP MATLAB solver and acknowledges partial support by the Universidad Politecnica de Valencia (PAID-00-12) and the International Office of the Vienna University of Technology.European Physical SocietyDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Matemática MultidisciplinarUniversitat Politècnica de ValènciaTechnische Universitat WienRepositorio Institucional de la Universitat Politècnica de València Riunet20132013-03-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/51228reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-00-12open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/512282026-06-13T07:49:27Z
dc.title.none.fl_str_mv Gravitational frequency shifts in transformation acoustics
title Gravitational frequency shifts in transformation acoustics
spellingShingle Gravitational frequency shifts in transformation acoustics
Tung, Michael Ming-Sha|||0000-0002-8760-0927
Transformation acoustics
Field
Cloaking
Analog
MATEMATICA APLICADA
title_short Gravitational frequency shifts in transformation acoustics
title_full Gravitational frequency shifts in transformation acoustics
title_fullStr Gravitational frequency shifts in transformation acoustics
title_full_unstemmed Gravitational frequency shifts in transformation acoustics
title_sort Gravitational frequency shifts in transformation acoustics
dc.creator.none.fl_str_mv Tung, Michael Ming-Sha|||0000-0002-8760-0927
Weinmüller, Ewa Barbara
author Tung, Michael Ming-Sha|||0000-0002-8760-0927
author_facet Tung, Michael Ming-Sha|||0000-0002-8760-0927
Weinmüller, Ewa Barbara
author_role author
author2 Weinmüller, Ewa Barbara
author2_role author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Matemática Multidisciplinar
Universitat Politècnica de València
Technische Universitat Wien
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Transformation acoustics
Field
Cloaking
Analog
MATEMATICA APLICADA
topic Transformation acoustics
Field
Cloaking
Analog
MATEMATICA APLICADA
description In metamaterial acoustics, it is conceivable that any type of fine-tuned acoustic properties far beyond those found in nature may be transferred to an appropriate medium. Effective design and engineering of these modern acoustic metadevices poses one of the forefront challenges in this field. As a practical example of a new covariant approach for modelling acoustics on spacetime manifolds, we choose to implement the acoustic analogue of the frequency shift due to gravitational time dilation. In accordance with Einstein's equivalence principle, two different spacetimes, corresponding to uniform acceleration or uniform gravity, are considered. For wave propagation in a uniformly accelerating rigid frame, an acoustic event horizon arises. The discussion includes a detailed numerical analysis for both spacetime geometries. Copyright (c) EPLA, 2013
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/51228
url https://riunet.upv.es/handle/10251/51228
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-00-12
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv European Physical Society
publisher.none.fl_str_mv European Physical Society
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
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