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Effect of loss on the dispersion relation of photonic and phononic crystals

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Effect of loss on the dispersion relation of photonic and phononic crystals

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dc.contributor.author Laude, Vincent es_ES
dc.contributor.author Escalante Fernández, José María es_ES
dc.contributor.author Martínez Abietar, Alejandro José es_ES
dc.date.accessioned 2015-11-24T07:21:17Z
dc.date.available 2015-11-24T07:21:17Z
dc.date.issued 2013-12
dc.identifier.issn 1098-0121
dc.identifier.uri http://hdl.handle.net/10251/57947
dc.description.abstract [EN] A theoretical analysis is made of the transformation of the dispersion relation of waves in artificial crystals under the influence of loss, including the case of photonic and phononic crystals. Considering a general dispersion relation in implicit form, an analytic procedure is derived to obtain the transformed dispersion relation. It is shown that the dispersion relation is generally shifted in the complex (k,ω) plane, with k the wave number and ω the angular frequency. The value of the shift is obtained explicitly as a function of the perturbation of material constants accounting for loss. The method is shown to predict correctly the transformation of the complex band structure k(ω). Several models of the dispersion relation near a symmetry point of the Brillouin zone are analyzed. A lower bound for the group velocity, related to the local shape of the band around symmetry points, is derived for each case es_ES
dc.description.sponsorship Financial support from the European Community's Seventh Framework program (FP7/2007-2013) under Grant Agreement No. 233883 (TAILPHOX) is gratefully acknowledged. V. L. acknowledges the support of the Labex ACTION program (Contract No. ANR-11-LABX-01-01). en_EN
dc.language Inglés es_ES
dc.publisher American Physical Society es_ES
dc.relation.ispartof Physical Review B es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Photonic crystals es_ES
dc.subject Phononic crystals es_ES
dc.subject Propagation losses es_ES
dc.subject.classification TEORIA DE LA SEÑAL Y COMUNICACIONES es_ES
dc.title Effect of loss on the dispersion relation of photonic and phononic crystals es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1103/PhysRevB.88.224302
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/233883/EU/TAILoring photon-phonon interaction in silicon PHOXonic crystals/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Tecnología Nanofotónica - Institut Universitari de Tecnologia Nanofotònica es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions es_ES
dc.description.bibliographicCitation Laude, V.; Escalante Fernández, JM.; Martínez Abietar, AJ. (2013). Effect of loss on the dispersion relation of photonic and phononic crystals. Physical Review B. 88:2243021-2243028. https://doi.org/10.1103/PhysRevB.88.224302 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevB.88.224302 es_ES
dc.description.upvformatpinicio 2243021 es_ES
dc.description.upvformatpfin 2243028 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 88 es_ES
dc.relation.senia 255672 es_ES
dc.identifier.eissn 1550-235X
dc.contributor.funder European Commission
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