Asymptotic wave-splitting in anisotropic linear acoustics

In the present paper, we present a simple wave-splitting procedure for instantaneously reacting anisotropic media that includes spatial variation in depth. The method includes both the traditional (approximate) and a ‘true amplitude’ wave-field decomposition. The results are presented in time-Laplac...

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Bibliographic Details
Published in:Wave motion 2010, Vol.47 (5), p.318-326
Main Authors: Jonsson, B.L.G., Norgren, M.
Format: Article
Language:English
Subjects:
Acoustic
Acoustic-admittance map
Acoustics
Akustik
Algebra
Algebraic Riccati operator equation
Anisotropy
Directional wave-field decomposition
Engineering physics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Fysik
Linear acoustics
Linear and multilinear algebra, matrix theory
Mathematics
NATURAL SCIENCES
NATURVETENSKAP
Physics
Pseudodifferential operators with parameter
Sciences and techniques of general use
Splitting matrix
System's matrix
TECHNOLOGY
TEKNIKVETENSKAP
Teknisk fysik
Wave-splitting
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Summary:In the present paper, we present a simple wave-splitting procedure for instantaneously reacting anisotropic media that includes spatial variation in depth. The method includes both the traditional (approximate) and a ‘true amplitude’ wave-field decomposition. The results are presented in time-Laplace domain. One of the main advantages of the method presented here is that it gives an explicit asymptotic representation of the linear acoustic-admittance operator to all orders of smoothness for the smooth, positive definite anisotropic material parameters considered here. Once the admittance operator is known we obtain an explicit asymptotic wave-splitting solution.
ISSN:0165-2125
1878-433X
1878-433X
DOI:10.1016/j.wavemoti.2009.11.005