Application of fractional calculus to ultrasonic wave propagation in human cancellous bone

被引:78
|
作者
Sebaa, N.
Fellah, Z. E. A.
Lauriks, W.
Depollier, C.
机构
[1] CNRS, Lab Mecan & Acoust, UPR 7051, F-13402 Marseille, France
[2] Katholieke Univ Leuven, Lab Akoestiek & Therm Fys, B-3001 Heverlee, Belgium
[3] Univ Maine, CNRS, Acoust Lab, UMR 6613, F-72085 Le Mans, France
关键词
porous materials; fractional calculus; cancellous bone; reflection and transmission scattering operators;
D O I
10.1016/j.sigpro.2006.02.015
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Ultrasonic wave propagation in human cancellous bone is considered. Fractional calculus is used to describe the viscous interactions between fluid and solid structure. Reflection and transmission scattering operators are derived for a slab of cancellous bone in the elastic frame using Biot's theory. Experimental results are compared with theoretical predictions for slow and fast waves transmitted through human cancellous bone samples. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:2668 / 2677
页数:10
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