A discrete wave number transform approach for predicting pressure levels due to a line source radiating over two dimensional multi-layered materials

Stéphane Rigobert (1) , Franck Sgard (1) , Claude Boutin (2)

1 DGCB-LASH - LAboratoire des Sciences de l'Habitat
2 DGCB-LGM - Laboratoire Géomatériaux

The problem of an acoustical line source radiating over a planar multi layered material infinite in two of its dimensions, made up of acoustic, elastic and porous media is investigated. The fields in the different media are expanded into a superposition of plane waves using a one dimensional spatial Fourier transform along the material's interface. The problem amounts to solving for the reflection and transmission coefficients of the plane waves at each interface. The contributions of each wave are then recombined using the discrete wave number method, referred to as Bouchon's method, to get the fields in the media. The results given by the developed algorithm are successfully compared to an analytical solution considered for propagation above a locally reacting plane

Domaines: Mécanique [physics.med-ph]

Stéphane Rigobert, Franck Sgard, Claude Boutin. A discrete wave number transform approach for predicting pressure levels due to a line source radiating over two dimensional multi-layered materials. Applied Acoustics, 1999, 58 (2), pp.173-194. ⟨hal-00940501⟩