Analytical model to predict the effect of a finite impedance surface on the propagation properties of 2D Sonic Crystals

Vicente Romero-García (1, 2) , J V Sánchez-Pérez (2) , Lluis Miquel Garcia-Raffi (3)

1 ICMM - Instituto de Ciencia de Materiales de Madrid
2 Centro de Tecnologías Físicas: Acústica, Materiales y Astrofísica
3 Instituto Universitario de Matemática Pura y Aplicada

The use of Sonic Crystals as environmental noise barriers has certain advantages from both the acoustical and the constructive points of view with regard to conventional ones. However the interaction between the Sonic Crystals and the ground has not been studied yet. In this work we are reporting a semi-analytical model, based on the multiple scattering theory and on the method of images, to study this interaction considering the ground as a finite impedance surface. The results obtained here show that this model could be used to design more effective noise barriers based on Sonic Crystals because the excess attenuation of the ground could be modelled in order to improve the attenuation properties of the array of scatterers. The results are compared with experimental data and numerical predictions thus finding a good agreement between them.

Mots clés: Sonic Crystals; Finite Impedance; Multiple Scattering; method of images

Vicente Romero-García, J V Sánchez-Pérez, Lluis Miquel Garcia-Raffi. Analytical model to predict the effect of a finite impedance surface on the propagation properties of 2D Sonic Crystals. Journal of Physics D: Applied Physics, 2011, 44 (26), pp.265501. ⟨10.1088/0022-3727/44/26/265501⟩. ⟨hal-00629468⟩