Villarreal A, Medina L
Posgrado en Ing. Biomédica, Universidad Autónoma Metropolitana-Iztapalapa, México.
Annu Int Conf IEEE Eng Med Biol Soc. 2010;2010:1332-5. doi: 10.1109/IEMBS.2010.5626379.
The trabecular bones are highly dispersive acoustic media composed by randomly shaped trabeculae (considered as scatterers) and surrounded by bone marrow. An acoustic wave generated by an incident ultrasonic pulse with respect to the media under study, shows that its velocity and amplitude are a function of the density size and shaped of the scatterers. Two different methods were used to theoretically study this scattering phenomena: i) a self-consistent model proposed by Sabina and Willis, and ii) the multiple-scattering theory of Waterman-Truell. These methods were able to compute the phase velocity and amplitude as a function of operating frequency, density and size of scatterers. The theoretical results were compared with experimental data already published and the phase veloctiy shows a good agreement for low concentration of scatterers.
小梁骨是由随机形状的小梁（视为散射体）组成且被骨髓包围的高度分散性声学介质。相对于所研究的介质，由入射超声脉冲产生的声波表明，其速度和振幅是散射体密度、大小和形状的函数。使用了两种不同的方法从理论上研究这种散射现象：i）萨比娜和威利斯提出的自洽模型，以及ii）沃特曼 - 特鲁尔的多重散射理论。这些方法能够计算作为散射体工作频率、密度和大小函数的相速度和振幅。将理论结果与已发表的实验数据进行了比较，并且对于低浓度的散射体，相速度显示出良好的一致性。
