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

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

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 th...

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Veröffentlicht in:Signal processing 2006-10, Vol.86 (10), p.2668-2677
Hauptverfasser: Sebaa, N., Fellah, Z.E.A., Lauriks, W., Depollier, C.
Format: Artikel
Sprache:eng
Schlagworte:
Acoustics
Cancellous bone
Engineering Sciences
Fractional calculus
Mechanics
Physics
Porous materials
Reflection and transmission scattering operators
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Zusammenfassung: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.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2006.02.015