Acoustic Microscopy for Bone Characterization

T. Kundu, C. Jørgensen
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Abstract

Characterization of animal bones by acoustic microscopy is a relatively new field of research. Non-uniformity of bones requires a complete analysis of the interaction between the focused acoustic beam and the bone specimens for its characterization. The complete analysis produces the V(z) curve taking into account the lens angle and the elastic properties of the bone. V(z) oscillations may be generated by surface skimming Rayleigh waves and/or P-waves in different parts of the bone depending on the bone properties. In this paper after a short review of different applications of the acoustic microscopy technique a complete theory of the V(z) curve synthesis is briefly presented. A number of V(z) curves are analytically generated following this theory. These curves sometimes show a regular oscillatory shape as predicted by the simple ray theory. However, often the synthesized V(z) curves show irregularities. The synthesized V(z) curve for silicon has been compared with the experimental results to have a confidence on the analytical computation. Then additional numerical exercises are carried out to understand why sometimes the V(z) curve shapes are irregular, and whether the P-wave speed and/or the Rayleigh wave speed of the material can be extracted from such irregular shaped V(z) curves. After understanding the V(z) phenomenon the wave speeds at different points of a bone are experimentally measured from its V(z) curves.
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骨表征的声学显微镜
动物骨骼的声学显微镜表征是一个相对较新的研究领域。骨的非均匀性需要对聚焦声束与骨标本之间的相互作用进行完整的分析才能进行表征。完整的分析产生了考虑晶状体角度和骨骼弹性特性的V(z)曲线。V(z)振荡可由骨不同部位的表面掠过瑞利波和/或p波产生,这取决于骨的性质。本文简要回顾了声显微技术的不同应用,并简要介绍了V(z)曲线合成的完整理论。根据这一理论,可以解析地生成许多V(z)曲线。这些曲线有时显示出简单射线理论所预测的规则的振荡形状。然而,合成的V(z)曲线往往表现出不规则性。将合成的硅的V(z)曲线与实验结果进行了比较,对解析计算有了一定的可信度。然后进行了额外的数值练习,以理解为什么有时V(z)曲线形状不规则,以及是否可以从这种不规则形状的V(z)曲线中提取材料的纵波速度和/或瑞利波速度。在理解了V(z)现象之后,通过实验测量了骨头的V(z)曲线在不同点处的波速。
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