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Wave Field Synthesis Operators for Bent Line Arrays in a 3D Space

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Abstract:

Using the concept of Wave Field Synthesis (WFS) it is possible to generate acoustical wave fields which have an arbitrarily close resemblance to real wave fields. The acoustical principle of WFS lies in the Kirchhoff-Helmholtz theorem which states that any wave field can be generated by a distribution of secondary point sources driven by a 3D operator. Since such configurations are not suitable for practical use, WFS operators have been derived to synthesize wave fields correctly in a certain (horizontal) plane in a 3D space using only horizontal (bent) line arrays. Two different simplifications can be made, yielding a 2D operator for 1D line arrays consisting of secondary point sources, and a 3D operator for 1D line arrays consisting of secondary line sources positioned perpendicularly to the array. These practical and efficient operators form the basis of the WFS solution for many sound control problems. Much attention has been paid to the physical interpretation of the operators, which is very difficult or often impossible using other simplification methods.

Document Type: Research Article

Publication date: November 1, 1999

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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