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dc.contributor.author
Carcione, José M.  
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Grünhut Duenyas, Vivian  
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Osella, Ana Maria  
dc.date.available
2023-08-28T15:58:57Z  
dc.date.issued
2014-01  
dc.identifier.citation
Carcione, José M.; Grünhut Duenyas, Vivian; Osella, Ana Maria; Mathematical analogies in physics: Thin-layer wave theory; Editrice Compositori Bologna; Annals Of Geophysics; 57; 1; 1-2014; 1-10  
dc.identifier.issn
1593-5213  
dc.identifier.uri
http://hdl.handle.net/11336/209597  
dc.description.abstract
Field theory applies to elastodynamics, electromagnetism, quantum mechanics, gravitation and other similar fields of physics, where the basic equations describing the phenomenon are based on constitutive relations and balance equations. For instance, in elastodynamics, these are the stress-strain relations and the equations of momentum conservation (Euler-Newton law). In these cases, the same mathematical theory can be used, by establishing appropriate mathematical equivalences (or analogies) between material properties and field variables. For instance, the wave equation and the related mathematical developments can be used to describe anelastic and electromagnetic wave propagation, and are extensively used in quantum mechanics. In this work, we obtain the mathematical analogy for the reflection/refraction (transmission) problem of a thin layer embedded between dissimilar media, considering the presence of anisotropy and attenuation/viscosity in the viscoelastic case, conductivity in the electromagnetic case and a potential barrier in quantum physics (the tunnel effect). The analogy is mainly illustrated with geophysical examples of propagation of S (shear), P (compressional), TM (transverse-magnetic) and TE (transverse-electric) waves. The tunnel effect is obtained as a special case of viscoelastic waves at normal incidence.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Editrice Compositori Bologna  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
THIN LAYER  
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VISCOELASTICITY  
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ELECTROMAGNETISM  
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GEOPHYSICS  
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Geociencias multidisciplinaria  
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Ciencias de la Tierra y relacionadas con el Medio Ambiente  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Mathematical analogies in physics: Thin-layer wave theory  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-08-28T13:25:29Z  
dc.identifier.eissn
2037-416X  
dc.journal.volume
57  
dc.journal.number
1  
dc.journal.pagination
1-10  
dc.journal.pais
Italia  
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Bologna  
dc.description.fil
Fil: Carcione, José M.. Istituto Nazionale Di Oceanografia E Di Geofisica Sperimentale; Italia  
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Fil: Grünhut Duenyas, Vivian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina  
dc.description.fil
Fil: Osella, Ana Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina  
dc.journal.title
Annals Of Geophysics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4401/ag-6324