Buiochli Flávio, Martínez Oscar, Gómez-Ullate Luis, Montero de Espinosa Francisco
Escola Politécnica da Universidade de São Paulo, Dept. of Mechatronics Engineering, São Paulo, SP, Brazil.
IEEE Trans Ultrason Ferroelectr Freq Control. 2004 Feb;51(2):181-92. doi: 10.1109/tuffc.2004.1295393.
This paper presents a computational method to calculate the reflected and transmitted ultrasonic fields at interfaces of complex geometry. The method is performed in two steps. As first step, the velocity potential impulse response from an arbitrary aperture is determined at the interface using the Rayleigh integral and considering the reflection and transmission coefficients. In a second step, the simulated fields are calculated by applying the Rayleigh-Sommerfeld integral to the whole, extended interface. In order to validate the method, some experimental cases as, for instance, plane and cylindrical concave surfaces between two media (water-acrylic) were tested. The experimental ultrasonic fields are in good agreement with those provided by the model. Furthermore, in the work, the compromise between the accuracy of the method and the computation time is studied.
本文提出了一种计算复杂几何形状界面处反射和透射超声场的计算方法。该方法分两步进行。第一步，利用瑞利积分并考虑反射和透射系数，在界面处确定来自任意孔径的速度势脉冲响应。第二步，通过将瑞利 - 索末菲积分应用于整个扩展界面来计算模拟场。为了验证该方法，测试了一些实验案例，例如两种介质（水 - 丙烯酸）之间的平面和圆柱凹面。实验超声场与模型提供的结果吻合良好。此外，在这项工作中，研究了该方法的精度与计算时间之间的权衡。
