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A Study of a Problem of Inversion of the Diffraction of a Scalar Wave

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When planning a theatre, the acoustic engineer poses himself the following problem: among the materials at his disposal, which are those which he ought to use, and how ought he to put them on the walls of the room so that the acoustics are good?

This problem of acoustic nature constitutes the inverse problem of the diffraction of a scalar wave. In the present article we have approached it employing monochromatic waves. After having reviewed some generalities on diffraction we show how this problem leads to a Fredholm equation of the first kind. We give a rigorous method of the solution of this equation and above all a method of approach which has the great advantage of lending itself to all exigencies of the physical problem: for example, the materials are put on a part of the walls (scenery, seats) and one tries to distribute the chosen materials on the wall surface left free. An example is given.
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Document Type: Research Article

Publication date: January 1, 1967

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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