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On Radiation from Elliptic-Cylinder Geometries

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Acoustic radiation from cylinders with elliptical cross-section can be solved analytically by employing Mathieu functions. The analytic expressions obtained for such a simple convex boundary with different surface curvatures show a spatially varying specific acoustic impedances. This paper provides a physical interpretation of this fact, which applies to radiation from general convex boundaries as well. Its implication on the solution of radiation and scattering problems using a multipole expansion in elliptic-cylinder coordinates are discussed. Moreover, simple analytical expressions for the radiated sound power and the local modal acoustic impedance are derived. The necessary formulas for Mathieu functions are presented together with a detailed description of their efficient numerical generation.
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Document Type: Research Article

Publication date: July 1, 1999

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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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