Theoretical and experimental evidence of level repulsion states and evanescent modes in sonic crystal stubbed waveguides
Identifieur interne : 000646 ( Main/Exploration ); précédent : 000645; suivant : 000647Theoretical and experimental evidence of level repulsion states and evanescent modes in sonic crystal stubbed waveguides
Auteurs : V. Romero-Garca [Espagne] ; J O Vasseur [France] ; L M Garcia-Raffi [Espagne] ; A C Hladky-Hennion [France]Source :
- New Journal of Physics [ 1367-2630 ] ; 2012-02.
Abstract
The complex band structures calculated using the extended plane wave expansion (EPWE) reveal the presence of evanescent modes in periodic systems, never predicted by the classical methods, providing novel interpretations of several phenomena as well as a complete picture of the system. In this work, we theoretically and experimentally observe that in the ranges of frequencies where a deaf band is traditionally predicted, an evanescent mode with excitable symmetry appears, changing drastically the interpretation of the transmission properties. On the other hand, the simplicity of the sonic crystals in which only the longitudinal polarization can be excited is used to interpret, without loss of generality, the level repulsion between symmetric and antisymmetric bands in sonic crystals as the presence of an evanescent mode connecting both repelled bands. These evanescent modes, obtained using EPWE, explain both the attenuation produced in this range of frequencies and the transfer of symmetry from one band to the other in good agreement with both experimental results and multiple scattering predictions. Thus, the evanescent properties of the periodic system have been revealed to be necessary for the design of new acoustic and electromagnetic applications based on periodicity.
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DOI: 10.1088/1367-2630/14/2/023049
Affiliations:
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In this work, we theoretically and experimentally observe that in the ranges of frequencies where a deaf band is traditionally predicted, an evanescent mode with excitable symmetry appears, changing drastically the interpretation of the transmission properties. On the other hand, the simplicity of the sonic crystals in which only the longitudinal polarization can be excited is used to interpret, without loss of generality, the level repulsion between symmetric and antisymmetric bands in sonic crystals as the presence of an evanescent mode connecting both repelled bands. These evanescent modes, obtained using EPWE, explain both the attenuation produced in this range of frequencies and the transfer of symmetry from one band to the other in good agreement with both experimental results and multiple scattering predictions. Thus, the evanescent properties of the periodic system have been revealed to be necessary for the design of new acoustic and electromagnetic applications based on periodicity.</div></front></TEI><affiliations><list><country><li>Espagne</li><li>France</li></country><region><li>Communauté valencienne</li><li>Hauts-de-France</li><li>Nord-Pas-de-Calais</li></region><settlement><li>Villeneuve d'Ascq Cdex</li></settlement></list><tree><country name="Espagne"><region name="Communauté valencienne"><name sortKey="Romero Garca, V" sort="Romero Garca, V" uniqKey="Romero Garca V" first="V" last="Romero-Garca">V. Romero-Garca</name></region><name sortKey="Garcia Raffi, L M" sort="Garcia Raffi, L M" uniqKey="Garcia Raffi L" first="L M" last="Garcia-Raffi">L M Garcia-Raffi</name></country><country name="France"><region name="Hauts-de-France"><name sortKey="Vasseur, J O" sort="Vasseur, J O" uniqKey="Vasseur J" first="J O" last="Vasseur">J O Vasseur</name></region><name sortKey="Hladky Hennion, A C" sort="Hladky Hennion, A C" uniqKey="Hladky Hennion A" first="A C" last="Hladky-Hennion">A C Hladky-Hennion</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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