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One-Dimensional Acoustic Models of Horns and Comparison with Measurements

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Due to the simple properties of plane waves, non lossy straight pipes and their concatenation have been extensively used to derive digital waveguide synthesis and to compute acoustic immittances (input impedance, transmittance, etc) of wind instruments. This paper focuses on some possible refinements of such 1D wave propagation models, especially in the case of smooth horns. Four key points are examined: a refined curvilinear 1D horn equation, the smooth connection of constant-flared acoustic pipes, a radiation model consistent with spherical wavefronts, the effect of visco-thermal losses at the wall. They allow the definition of a complete model, from which a standard matrix formalism is recovered, as for plane or spherical waves. The comparison with measurements shows that each of these refinements is relevant, making one-dimensional models useful and efficient even for the quite sensitive case of brass instruments. Moreover, compared to the standard descriptions based on straight or conical pipes, the model proposed here gives accurate descriptions with only a few segments.
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Document Type: Research Article

Publication date: November 1, 2013

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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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