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The Bloch Theorem Generalized for Semi-Infinitely Periodic Systems with Free Surface

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In this paper, we present the Bloch theorem generalized for semi-infinitely periodic systems with free surface. For these structures the conventional Bloch theorem is effective only for some special modes, there exist more modes determined by the generalized Bloch theorem. As an example, the propagation characteristics of shear horizontal acoustic waves in these structures are investigated by this generalized theorem. In the semi-infinitely periodic systems, we also find that in a same dispersion curve there are gaps, and surface and bulk waves can be transformed into each other.
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Document Type: Research Article

Publication date: July 1, 2008

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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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