Asymptotic wave-splitting in anisotropic linear acoustics
2010 (English)In: Wave motion, ISSN 0165-2125, Vol. 47, no 5, 318-326 p.Article in journal (Refereed) Published
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. (C) 2009 Elsevier B.V. All rights reserved.
Place, publisher, year, edition, pages
2010. Vol. 47, no 5, 318-326 p.
Directional wave-field decomposition, Wave-splitting, Anisotropy, Acoustic, System's matrix, Algebraic Riccati operator equation, Acoustic-admittance map, Splitting matrix, Pseudodifferential operators with parameter
Fluid Mechanics and Acoustics Physical Sciences
IdentifiersURN: urn:nbn:se:kth:diva-27843DOI: 10.1016/j.wavemoti.2009.11.005ISI: 000277879800005ScopusID: 2-s2.0-77952238025OAI: oai:DiVA.org:kth-27843DiVA: diva2:386636
QC 201101132011-01-132011-01-032011-01-13Bibliographically approved