Homogenization of sound hard metamaterials in the time domain

A Maurel (1) , J.-J Marigo (2) , B Lombard (3, 4)

1 IL - Institut Langevin - Ondes et Images (UMR7587)
2 LMS - Laboratoire de mécanique des solides
3 O&I - Ondes et Imagerie
4 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

We present a homogenization method based on a matched asymptotic expansion technique for sound hard materials structured at subwavelength scale. Considering the wave equation in the time domain, jump conditions are derived for the acoustic pressure and the normal velocity across an equivalent interface with non zero thickness. These jump conditions are implemented in a numerical scheme and compared to the results of the direct problem.

Domaines: Acoustique [physics.class-ph]

A Maurel, J.-J Marigo, B Lombard. Homogenization of sound hard metamaterials in the time domain. 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics – Metamaterials 2016, Sep 2016, Hellas, Crête, Greece. ⟨hal-01322320⟩