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Numerical Investigation of Reflections of Fast and Slow Longitudinal Waves at a Boundary between Cancellous Bone and Cortical Bone

机译:快速和慢速纵向波在松质骨和皮质骨边界处的反射数值研究

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As in vivo cancellous bone is generally surrounded by cortical bone, ultrasound waves propagating in the bone can reflect at the boundary of cortical bone. In this study, the ultrasound reflection properties were numerically investigated using finite-difference time-domain (FDTD) simulations with microcomputed tomographic (μCT) models of bovine cancellous bone. The reflected waveforms at normal incidence to the boundary surface between the cancellous bone and cortical bone layers were simulated. By comparing with the waveform in the case of an absorbing boundary, the reflection properties were derived. When the boundary surface was perpendicular to the main orientation of the trabecular network in cancellous bone, both reflections of the fast and slow longitudinal waves could be clearly observed. In the porosity range of 0.53-0.86, the reflection coefficients of the fast and slow waves increased linearly from 0.27 to 0.48 and from 0.49 to 0.65, respectively. When the boundary surface was parallel, only a single wave reflection was observed. The reflection coefficient increased linearly from 0.23 to 0.62, which was between the coefficients of the fast and slow waves.
机译:如体内残油骨通常被皮质骨包围,在骨中传播的超声波可以反射皮质骨的边界。在该研究中,使用具有微型断层骨(μCT)模型的有限差分时间域(FDTD)模拟进行数值研究超声反射特性。模拟了正常入射对松质骨和皮质骨层之间的边界表面的反射波形。通过与吸收边界的情况下的波形进行比较,导出了反射特性。当边界表面垂直于松质骨中的小梁网络的主定向时,可以清楚地观察到快速和慢纵波的两者的反射。在0.53-0.86的孔隙范围内,快速和慢波的反射系数分别从0.27到0.48和0.49到0.65的线性增加。当边界表面平行时,仅观察到单波反射。反射系数从0.23线性增加0.23到0.62,这在快速和慢波的系数之间。

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