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

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	CHEN Wen

关键词 ： 46.40.-f, 05.40.Fb, 42.25.Dd, 43.80.+p, 47.53.+n

Abstract： Absorption of acoustic wave propagation in a large variety of lossy media is characterized by an empirical power law function of frequency, α₀|ω|^y. It has long been noted that the exponent y ranges from 0 to 2 for diverse media. Recently, the present author [J. Acoust. Soc. Am. 115 (2004) 1424]
developed a fractional Laplacian wave equation to accurately model the power law dissipation, which can be further reduced to the fractional Laplacian diffusion equation. The latter is known underlying the Lévy stable distribution theory. Consequently, the parameters y is found to be the Lévy stability index, which is known to be bounded within 0

Key words： 46.40.-f 05.40.Fb 42.25.Dd 43.80.+p 47.53.+n

出版日期: 2005-10-01

:	46.40.-f	(Vibrations and mechanical waves)
	05.40.Fb	(Random walks and Levy flights)
	42.25.Dd	(Wave propagation in random media)
	43.80.+p	(Bioacoustics)
	47.53.+n	(Fractals in fluid dynamics)

引用本文:

CHEN Wen. Lévy Stable Distribution and [0,2] Power Law Dependence of Acoustic Absorption on Frequency in Various Lossy Media[J]. 中国物理快报, 2005, 22(10): 2601-2603.
CHEN Wen. Lévy Stable Distribution and [0,2] Power Law Dependence of Acoustic Absorption on Frequency in Various Lossy Media. Chin. Phys. Lett., 2005, 22(10): 2601-2603.

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https://cpl.iphy.ac.cn/CN/ 或 https://cpl.iphy.ac.cn/CN/Y2005/V22/I10/2601