Attenuated Fractional Wave Equations With Anisotropy-Reference-Cited by-同舟云学术

Attenuated Fractional Wave Equations With Anisotropy

Published:2014-07-25 Issue:5 Volume:136 Page:
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Meerschaert Mark M.¹,McGough Robert J.²

Affiliation:

1. Department of Statistics and Probability, Michigan State University, East Lansing, MI 48824 e-mail:

2. Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824 e-mail:

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.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/doi/10.1115/1.4025940/6341661/vib_136_05_050902.pdf

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