Dynamic homogenization of an acoustic metamaterial: Effective parameters of a rectangular lattice of cylinders

We present a dynamical homogenization model for the propagation of acoustic waves in periodic arrangements of scatterers. The model is based on the plane wave expansion method and leads to the effective parameters associated with the propagation. Effective mass density, effective bulk modulus and ef...

Full description

Saved in:

Bibliographic Details
Published in:	2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS) pp. 286 - 288
Main Authors:	Ponge, M.-F, Poncelet, O., Torrent, D.
Format:	Conference Proceeding
Language:	English
Published:	IEEE 01-09-2016
Subjects:	Acoustic materials Crystals Dispersion Electromagnetic scattering Electromagnetics Lattices Metamaterials
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We present a dynamical homogenization model for the propagation of acoustic waves in periodic arrangements of scatterers. The model is based on the plane wave expansion method and leads to the effective parameters associated with the propagation. Effective mass density, effective bulk modulus and effective Willis term are frequency and wave vector dependant. The case of a rectangular lattice of cylinders is investigated. The homogenization model in the local approximation fits with the plane wave expansion method for small wave numbers. The branches of the dispersion curves are correctly found because of the anisotropy of the mass density.
DOI:	10.1109/MetaMaterials.2016.7746518