Attenuated Fractional Wave Equations With Anisotropy.
作者信息
Meerschaert Mark M, McGough Robert J
机构信息
Department of Statistics and Probability, Michigan State University , East Lansing, MI 48824 e-mail:
Department of Electrical and Computer Engineering, Michigan State University , East Lansing, MI 48824 e-mail:
出版信息
J Vib Acoust. 2014 Oct;136(5):0510041-510045. doi: 10.1115/1.4025940. Epub 2014 Jul 25.
Abstract
This paper develops new fractional calculus models for wave propagation. These models permit a different attenuation index in each coordinate to fully capture the anisotropic nature of wave propagation in complex media. Analytical expressions that describe power law attenuation and anomalous dispersion in each direction are derived for these fractional calculus models.
摘要
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