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Integral Equation for Frequency Averaged Quadratic Pressure

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Integral equation for Frequency Averaged Quadratic Pressure is derived based on one single assumption: statistical independence of Green's function and boundary pressure and velocity of the radiating object. Three sources are responsible for radiation, they include cross contribution associated to surface effect, the cross velocity source, the cross intensity source and the cross pressure source. The validity of the theoretical formulation is checked on the pulsating sphere problem. The frequency averaging does not suppress the irregular frequency problem appearing in classical Kirchhoff integral equation and regularization methods have to be used in a similar way to avoid the instability of the calculation. Diffraction of a screen placed in the acoustic field is studied to demonstrate how the method can be applied to a general cases.
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Document Type: Research Article

Publication date: March 1, 2004

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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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