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

Journal article

Ballestero, E., Hamilton, B., Jiménez, N., Romero-García, V., Groby, J., Aygun, H. and Dance, S. (2021). Scattering Evaluation of Equivalent Surface Impedances of Acoustic Metamaterials in Large FDTD Volumes Using RLC Circuit Modelling. Applied Sciences. 11 (17), p. e8084. https://doi.org/10.3390/app11178084
AuthorsBallestero, E., Hamilton, B., Jiménez, N., Romero-García, V., Groby, J., Aygun, H. and Dance, S.
AbstractMost 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.
Keywordsmetamaterials; metadiffusers; scattering; finite-difference time-domain (FDTD)
Year2021
JournalApplied Sciences
Journal citation11 (17), p. e8084
PublisherMDPI
ISSN2076-3417
Digital Object Identifier (DOI)https://doi.org/10.3390/app11178084
Web address (URL)https://www.mdpi.com
Funder/ClientEuropean Cooperation in Science and Technology
Agence Nationale de la Recherche
Ministerio de Ciencia e Innovación
Publication dates
Print31 Aug 2021
Online31 Aug 2021
Publication process dates
Accepted27 Aug 2021
Deposited22 Sep 2021
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Open
Licensehttps://creativecommons.org/licenses/by/4.0/
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