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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Simulations and measurements of 3-D ultrasonic fields radiated by phased-array transducers using the westervelt equation
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Simulations and measurements of 3-D ultrasonic fields radiated by phased-array transducers using the westervelt equation

机译：使用westervelt方程模拟和测量相控阵换能器辐射的3-D超声场

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摘要

The purpose of this work is to validate, by comparing numerical and experimental results, the ability of the Westervelt equation to predict the behavior of ultrasound beams generated by phased-array transducers. To this end, the full Westervelt equation is solved numerically and the results obtained are compared with experimental measurements. The numerical implementation of the Westervelt equation is performed using the explicit finite-difference time-domain method on a three-dimensional Cartesian grid. The validation of the developed numerical code is first carried out by using experimental data obtained for two different focused circular transducers in the regimes of small-amplitude and finite-amplitude excitations. Then, the comparison of simulated and measured ultrasonic fields is extended to the case of a modified 32-element array transducer. It is shown that the developed code is capable of correctly predicting the behavior of the main lobe and the grating lobes in the cases of zero and nonzero steering angles for both the fundamental and the second-harmonic components.
机译：这项工作的目的是通过比较数值结果和实验结果来验证Westervelt方程预测相控阵换能器产生的超声波束行为的能力。为此，对整个Westervelt方程进行数值求解，并将所得结果与实验测量结果进行比较。在三维笛卡尔网格上使用显式有限差分时域方法执行Westervelt方程的数值实现。首先使用小振幅和有限振幅激励下两个不同聚焦圆形换能器获得的实验数据对开发的数字代码进行验证。然后，将模拟和测量超声场的比较扩展到修改的32元素阵列换能器的情况。结果表明，所开发的代码能够在零和非零转向角的基础上和次谐波分量都正确预测主瓣和光栅瓣的行为。

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