Evanescent waves and deaf bands in sonic crystals

Autor: V. Romero-García, L. M. Garcia-Raffi, J. V. Sánchez-Pérez
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: AIP Advances, Vol 1, Iss 4, Pp 041601-041601-9 (2011)
Druh dokumentu: article
ISSN: 2158-3226
DOI: 10.1063/1.3675801
Popis: The properties of sonic crystals (SC) are theoretically investigated in this work by solving the inverse problem k(ω) using the extended plane wave expansion (EPWE). The solution of the resulting eigenvalue problem gives the complex band structure which takes into account both the propagating and the evanescent modes. In this work we show the complete mathematical formulation of the EPWE for SC and the supercell approximation for its use in both a complete SC and a SC with defects. As an example we show a novel interpretation of the deaf bands in a complete SC in good agreement with multiple scattering simulations.
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