Scattering Evaluation of Equivalent Surface Impedances of Acoustic Metamaterials in Large FDTD Volumes Using RLC Circuit Modelling - Le Mans Université Accéder directement au contenu
Article Dans Une Revue Applied Sciences Année : 2021

Scattering Evaluation of Equivalent Surface Impedances of Acoustic Metamaterials in Large FDTD Volumes Using RLC Circuit Modelling

Eric Ballestero
  • Fonction : Auteur
Hamilton Brian
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Noé Jiménez
Haydar Aygun
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Stephen Dance
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  • PersonId : 939002

Résumé

Most simulations involving metamaterials often require complex physics to be solved through refined meshing grids. However, it can prove challenging to simulate the effect of local physical conditions created by said metamaterials into much wider computing sceneries due to the increased meshing load. We thus present in this work a framework for simulating complex structures with detailed geometries, such as metamaterials, into large Finite-Difference Time-Domain (FDTD) computing environments by reducing them to their equivalent surface impedance represented by a parallel-series RLC circuit. This reduction helps to simplify the physics involved as well as drastically reducing the meshing load of the model and the implicit calculation time. Here, an emphasis is made on scattering comparisons between an acoustic metamaterial and its equivalent surface impedance through analytical and numerical methods. Additionally, the problem of fitting RLC parameters to complex impedance data obtained from transfer matrix models is herein solved using a novel approach based on zero crossings of admittance phase derivatives. Despite the simplification process, the proposed framework achieves good overall results with respect to the original acoustic scatterer while ensuring relatively short simulation times over a vast range of frequencies.
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Dates et versions

hal-03436099 , version 1 (22-11-2021)

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Eric Ballestero, Hamilton Brian, Noé Jiménez, Vicente Romero-García, Jean-Philippe Groby, et al.. Scattering Evaluation of Equivalent Surface Impedances of Acoustic Metamaterials in Large FDTD Volumes Using RLC Circuit Modelling. Applied Sciences, 2021, 11 (17), pp.8084. ⟨10.3390/app11178084⟩. ⟨hal-03436099⟩
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