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REVERBERATION MATRIX METHOD FOR PROPAGATION OF SOUND IN A MULTILAYERED LIQUID

✍ Scribed by YIH-HSING PAO; XIAN-YUE SU; JIA-YONG TIAN

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
281 KB
Volume
230
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper presents the reverberation matrix method for wave propagation in a multi-layered liquid. First the local scattering matrix and phase matrix for the re#ected and refracted waves are derived at each interface of two layers in terms of local co-ordinates. The local matrices of all layers are then stacked to form global scattering and global phase matrices. The product of these two matrices together with a global permutation matrix gives rise to the reverberation matrix R which represents the propagation of steady state waves through the multi-layered medium. By expanding the matrix [I!R]\ into a power series and applying the inverse Fourier transform, we then derive the ray integrals for transient waves generated by a column of point sources and propagating through multi-re#ected and refracted paths in the medium. The ray integrals so derived are particularly suitable for numerical calculations by applying the Cagniard method.

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