Theoretical and experimental study of the third-order nonlinearity parameter C/A for biological media

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• 作者：Xiaozhou Liu ; Junlun Li ; Xiufen Gong ; Zhenmin Zhu ; Dong Zhang
• 关键词：Third-order nonlinearity parameter C/A ; Tissue characterization ; Finite amplitude insert-substitution method
• 刊名：Physica D
• 出版年：2007
• 出版时间：15 April 2007
• 年：2007
• 卷：228
• 期：2
• 页码：172-178
• 全文大小：418 K

文摘

The third-order nonlinearity parameter C/A for biological media is studied theoretically and experimentally. Based on the theory of fluid dynamics, the generalized Burgers equation is extended to the third order for biological media. A perturbation solution of the equation is carried out and the formula for C/A for biological media is derived. The sound pressure of the third harmonics changing with distance in water is measured and compared with the theoretical results. An experimental set-up is established for measurement of C/A for biological media and the values of the acoustic nonlinearity parameter C/A are measured for several porcine samples. The results show that the values of C/A for the measured biological tissues are in the range of 60.0–120.0 while the values B/A for the measured biological tissues are in the range 6.5–11.0. The maximum relative deviation for C/A among the measured biological tissues is 81.2 % while it is only 66.2 % for B/A. Therefore, C/A may be more appropriate for tissue characterization compared with B/A.