Abstract
In this paper the propagation of acoustic waves from a point source above a finite impedance ground under a temperature lapse condition is analyzed. The temperature profile chosen is a model of a fully developed lapse condition that fits the available data. This profile has a large temperature gradient near the ground and asymptotically approaches a finite value high above the ground. An analytical solution of the wave equation with variable sound speed is obtained using Hankel transform techniques. The present study implements a fast Fourier transform technique to invert the analytical solution to real space. Sound pressure level results to horizontal distances of 1000 m have been computed. The results show the expected interference pattern within the insonified region. At distances of a few 100 m from the source a rapid sound pressure decline, indicative of the shadow boundary, is observed. The sound pressure level behavior predicted is in agreement with the limited data available. [Work supported by NASA.]
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