Information Content of Acoustic Attenuation Spectra

In recent years ultrasonic attenuation spectroscopy has gained much attention as a method for the characterisation of concentrated dispersions. Several publications have shown, that this method allows the accurate determination of particle size. In particular for submicron dispersions there is, however, some uncertainty to which degree the details of a size distribution can be resolved by acoustic attenuation measurements. Ideally the inversion of an attenuation spectrum into a size distribution would yield as much distribution parameters as sound frequencies. In practice, however, the measurement errors affect the inversion very strongly and may result in multiple solutions for the size distribution. The maximum number of distribution parameters, for which a unique solution exists, can be therefore regarded as the information content. For a given ultrasonic spectrometer and material system it is possible to quantify the information content. Such an information analysis has been conducted with selected material systems in the submicron range. The investigation shows that the information content of acoustic attenuation spectra with regard to particle size analysis in the submicron range is relatively low. On the other hand, the results imply that the number of frequencies can be reduced significantly without loss of information content or stability of inversion algorithms.