Abstract
In a recent paper [J. F. Allard, J. Acoust. Soc. Am. 125, 1864–1867 (2009)], the inaccuracy of the classical formulation for the acoustic field of a point source above a hard‐back porous layer was addressed. The current study develops a set of closed form analytical solutions for predicting the propagation of sound due to a monopole near a hard backed layer. The current formulation avoids the use of the effective impedance approximation to obtain asymptotic solutions. The asymptotic formulas are derived by applying the method of saddle path integration supplemented by the method of pole subtraction. The analytical solutions are compared with accurate numerical integrations using the fast field formulation and other accurate numerical quadratures. Predicted results suggest that the analytical formulas agree well with exact numerical solutions. Indoor experimental measurements were also conducted to validate the analytical formulas.
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