Second-Order Acoustic Fields: Relations between Energy and Intensity

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Abstract
In this paper, the effects of the recent change in the expression for the average acoustic energy are considered. In particular, its relation to the modified expression for the acoustic intensity is explored. Use is made of Airy's second-order solution of the field equations. The accepted average energy-intensity relation has to be reinterpreted in that only part of the energy travels with the velocity of sound. When a wave is propagated down a tube, it is headed by a region of higher density, while behind this region the average density is decreased. The calculation seems to explain the origin of the new term in the average energy density and to relate it to the radiation pressure.

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