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Published in:
2013 | OriginalPaper | Chapter
Trapped Modes and Edge Resonances in Acoustics and Elasticity
Author : Vincent Pagneux
Published in: Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism
Publisher: Springer Vienna
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This chapter considers localized modes for acoustic and elastic waves. We first discuss trapped modes for acoustic scalar waves that are perfectly localized solutions near defects in waveguides with a real resonance frequency. Emphasis is given on the trapping mechanism coming from the evanescent nature of transverse modes in waveguides. We then study the case of quasi-trapped modes where the wave is strongly localized but can radiate energy. Complex resonance frequencies are shown to appear through approximate models and general principles. Eventually, we focus on elastic wave localization near traction free edges in plates and rods. The complicated polarization of the wave in elasticity is shown to increase the ability for trapping with very simple geometries.