Acoustic propagation over an impedance plane

A new solution is obtained for the acoustic pressure field generated by a point source and scattered by a locally reacting impedance covered plane. The new solution is obtained in the form of an asymptotic series which has been shown to agree well with other studies. One of the most important features of this solution is that higher‐order terms can be calculated from preceding terms in the series by the use of recursion formulas. Comparing data predicted from this solution with that from a numerical integration of the exact expression shows the asymptotic series to be extremely accurate, even for relatively low values of the parameter kR. Not surprisingly, the plane‐wave solution often shows major deviations from the exact integral solution.