The attenuation of sound by a randomly irregular impedance layer

Computer Science – Sound

Scientific paper

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Acoustic Attenuation, Acoustic Impedance, Acoustic Scattering, Diffraction Propagation, Surface Layers, Acoustic Propagation, Helium, Integral Equations, Jet Aircraft Noise, Noise Reduction, Plane Waves, Point Sources, Statistical Analysis, Wave Propagation

Scientific paper

The scattering of sound which occurs at the irregular boundaries of a static two-dimensional impedance layer is investigated. A general expression is obtained for the attenuation of sound from a point source of arbitrary multipole nature. Two coupled integral equations are derived which describe the scattering of high-frequency sound by the surface irregularities, and a model problem is analyzed using a development of Kirchhoff diffraction theory. The particular case of attenuation of sound from an omnidirectional point source by a randomly irregular helium impedance layer is examined. The coupled equations are solved in a first approximation, and numerical results are presented which illustrate the variation of the attenuation produced by changes in the parameters that characterize the irregular properties of the layer. The results are compared with Norum's (1973) experimental results for the shielding properties of a two-dimensional helium jet of negligible Mach number. The favorable agreement is shown to demonstrate that the proposed scattering mechanism is primarily responsible for the observed attenuation patterns.

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