Open AccessEvanescent waves and deaf bands in sonic crystals
Author(s) -
Vicente RomeroGarcía,
Lluís Miquel García Raffi,
J. V. Sánchez-Pérez
Publication year - 2011
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.3675801
Subject(s) - supercell , eigenvalues and eigenvectors , interpretation (philosophy) , inverse , physics , scattering , work (physics) , electronic band structure , condensed matter physics , plane wave expansion , plane wave , optics , computational physics , molecular physics , quantum mechanics , band gap , mathematics , geometry , computer science , thunderstorm , meteorology , programming language
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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