A modal model for diffraction by a contiguous array of rectangular grooves in an acoustically-hard plane is extended to predict the free space acoustic field from a point source above such a structure. Subsequently, an approximate effective impedance model for grooved surfaces is presented. Measurements have shown that these ground surfaces can be used for outdoor noise reduction but accurate modelling has required the use of computationally expensive numerical methods. The extended modal model and approximate impedance model inspired by it yield equivalent results in a fraction of the time taken by the boundary element method, for example, and could be used when designing grooved surfaces to reduce noise from road traffic.
Approximate impedance models for point-to-point sound propagation over acoustically-hard ground containing rectangular grooves
Steve Mellish, Shahram Taherzadeh, Keith Attenborough; Approximate impedance models for point-to-point sound propagation over acoustically-hard ground containing rectangular grooves. J. Acoust. Soc. Am. 1 January 2020; 147 (1): 74–84. https://doi.org/10.1121/10.0000490
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