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Surface Impedance Matrix for the Study of Acoustical Propagation in Multilayered Structures

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A systematic methodology is presented for studying acoustical propagation in heterostructures of general anisotropy with piezoelectricity. It is based on the surface impedance (SI) concept and employs the transfer matrix formalism in order to establish analytical expressions allowing dispersion relations to be calculated for various acoustic modes in structures such as a semi-infinite substrate, a finite thickness plate, as well as a combination of both. The same approach is applied to guided modes in a plate sandwiched in two semi-infinite substrates, and those propagating at the interface of two different media. Numerical results are given to show that SI matrices contain complete information relative to the proper modes, and are ready for numerical computations, automatically taking into account electro-mechanical coupling between physical variables. Particular interests of the SI matrix approach are: 1) It leads to characteristic equations that do not depend on the norm and/or partial modes ordering, thus enabling the use of a simple sign-detection algorithm. 2) It offers a greater liberty in choosing electrical boundary conditions, thus facilitating study of metallization effects of surface and/or interface on wave characteristics. 3) It improves, compared with the classical matrix transfer method, numerical stability of computed results. Limitations of the model will be analyzed, and possible solutions proposed.
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Document Type: Research Article

Publication date: 2002-03-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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