Simulating the Nonlinear Propagation Effects in Biological Materials Using Westervelt Equation

Esraa rabie, galal hassan, Mohamed Sayed Ali
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Abstract

Numerical simulations of the nonlinear acoustic waves for medical applications are performed by using Westervelt equation. In this paper, FDTD has been introduced to solve Westervelt equation. Nonlinear propagation scheme is applied on different biological media where a 1 kpa transducer pressure wave of 1 MHz and interactions with tissues are analyzed. Our results show the importance of considering nonlinear interactions in understanding the behavior of sound waves
利用韦斯特韦尔特方程模拟生物材料中的非线性传播效应
医疗应用中的非线性声波数值模拟是利用 Westervelt 方程进行的。本文引入了 FDTD 来求解 Westervelt 方程。在不同的生物介质上应用了非线性传播方案,分析了 1 kpa、1 MHz 的传感器压力波以及与组织的相互作用。我们的研究结果表明,考虑非线性相互作用对于理解声波行为非常重要。
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