Abstract

In this letter sound propagation in gas–liquid suspensions from two different perspectives, i.e., scattering versus nonscattering theories, is examined. The purpose is to analyze limitations of the different approaches while considering the case of dilute suspensions where there is no acoustic interaction between the bubbles. By means of single-scattering theory the transmission can be modeled as a plane wave exhibiting attenuation and dispersion provided the propagation length is limited. This requirement is usually not evident in nonscattering models. However, it is shown here that by use of the causality approach, one can obtain an analogous limitation concerning the propagation length that appears in the study of sound propagation in dilute suspensions via scattering theory. Thus the restriction is found also by means of a nonscattering approach.

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