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The absorption of acoustic wave propagation in a broad variety of lossy mediais characterized by an empirical power law function of frequency, w^y. It haslong been noted that exponent y ranges from 0 to 2 for diverse media. Recently,the present author developed a fractional Laplacian wave equation to accuratelymodel the power law dissipation, which can be further reduced to the fractionalLaplacian diffusion equation. The latter is known underlying the Levy stabledistribution theory. Consequently, the parameters y is found to be the Levystability index, which is known bounded within 0<y\le2. This finding firstprovides a theoretical explanation of empirical observations 0<y<=2.Statistically, the frequency-dependent absorption can thus be understood a Levystable process, where the parameter y describes the fractal nature ofattenuative media.Comment: Welcome any comments to chen_wen@iapcm.ac.c

Lévy Stable Distribution and [0,2] Power Law Dependence of Acoustic Absorption on Frequency in Various Lossy Media