超声治疗阵列三维非线性场的模拟
SIMULATION OF THREE-DIMENSIONAL NONLINEAR FIELDS OF ULTRASOUND THERAPEUTIC ARRAYS.
作者信息
Yuldashev P V, Khokhlova V A
机构信息
Moscow State University, Moscow, 119991, Russia.
出版信息
Acoust Phys. 2011 May 1;57(3):334-343. doi: 10.1134/S1063771011030213.
Abstract
A novel numerical model was developed to simulate three-dimensional nonlinear fields generated by high intensity focused ultrasound (HIFU) arrays. The model is based on the solution to the Westervelt equation; the developed algorithm makes it possible to model nonlinear pressure fields of periodic waves in the presence of shock fronts localized near the focus. The role of nonlinear effects in a focused beam of a two-dimensional array was investigated in a numerical experiment in water. The array consisting of 256 elements and intensity range on the array elements of up to 10 W/cm(2) was considered. The results of simulations have shown that for characteristic intensity outputs of modern HIFU arrays, nonlinear effects play an important role and shock fronts develop in the pressure waveforms at the focus.
摘要
开发了一种新型数值模型，用于模拟高强度聚焦超声（HIFU）阵列产生的三维非线性场。该模型基于韦斯特维尔特方程的解；所开发的算法使得在存在聚焦附近局部化的冲击波阵面的情况下，能够对周期波的非线性压力场进行建模。在水中的数值实验中研究了二维阵列聚焦束中非线性效应的作用。考虑了由256个元件组成的阵列以及阵列元件上高达10 W/cm²的强度范围。模拟结果表明，对于现代HIFU阵列的特征强度输出，非线性效应起着重要作用，并且在焦点处的压力波形中会形成冲击波阵面。
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