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Modified Mirror and Comer Sources with a Principle of Superposition

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Abstract:

The notation "mirror source" is applied in connection with the reflection of the sound wave of an original source at a plane surface, either rigid or absorbing. The mirror source generates the scattered sound field which, together with the field of the original source, makes up the total field above the reflecting plane. A corresponding notation is that of the "Corner source", which describes the sound field of a source in a corner area between two flanking walls, either rigid or absorbing. An analytical derivation of the mirror source in the case of a line source above a locally absorbing plane was given in [1]; an analytical approximation for the sound field of a line source in a corner area with absorbing flanks was described in [2], in which the sound field is composed with corner modes having confluent hypergeometrical functions as radial mode functions. This paper first describes a somewhat heuristic approximation for a mirror source which produces good results. The method applied therein then is generalised to an approximation for a corner source with absorbing flanks. The method may be summarised as a principle of superposition: the sound field with absorbing flanks is composed by the sound fields with ideally reflecting flanks, for which exact solutions exist. The method seems to be applicable also for other tasks than those described in this paper.

Document Type: Research Article

Publication date: September 1, 2000

More about this publication?
  • 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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