Evanescent waves and deaf bands in sonic crystals
Source abstract
Abstract
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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Research context
OpenAlex topics: Acoustic Wave Phenomena Research · Underwater Acoustics Research · Hearing Loss and Rehabilitation
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Affiliations
Universidad Politécnica de Valencia 1 Instituto de Investigación para la Gestión Integrada de zonas Costeras, , Paranimf 1, 46730, Gandia, Spain
Universidad Politécnica de Valencia 2 Instituto Universitario de Matemática Pura y Aplicada, , Camino de Vera s/n, 46022, Valencia, Spain
Universidad Politécnica de Valencia 3 Centro de Tecnologías Físicas: Acústica, Materiales y Astrofísica, , Camino de Vera s/n, 46022, Valencia, Spain
Funding
Spanish Ministry of Science and Innovation
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