Multiple scattering in a trabecular bone: influence of the marrow viscosity on the effective properties.
The Foldy and the Waterman and Truell approximations are used to determine the effective properties of the coherent wave that emerges after multiple scattering of a plane longitudinal fast wave by the largest pores in a trabecular bone. The unit scattering cell considered is either a single pore or two close cylindrical pores (cluster), at a fixed overall bone porosity. In the cluster case, the effective attenuation is about twice that obtained with one single pore per scatterer. It is shown that taking into account the marrow viscosity leads only to minor differences on the effective dispersion and attenuation.
Luppé
Francine
F
Laboratoire d'Acoustique Ultrasonore et d'Electronique, UMR 6068, Université du Havre, Place R. Schuman, 76610 Le Havre, France. luppe@iut.univ-lehavre.fr
Conoir
Jean-marc
JM
Franklin
Hervé
H
D001853:Bone Marrow / Q000502:physiology*; D001842:Bone and Bones / Q000000981:diagnostic imaging*; D006801:Humans; D008954:Models, Biological; D016062:Porosity; D014463:Ultrasonography; D014783:Viscosity