Nierla Michael, Rupitsch Stefan J
IEEE Trans Ultrason Ferroelectr Freq Control. 2016 Feb;63(2):275-89. doi: 10.1109/TUFFC.2015.2510419. Epub 2015 Dec 18.
We present a seminumerical simulation method called SIRFEM, which enables the efficient prediction of high-frequency transducer outputs. In particular, this is important for acoustic microscopy where the specimen under investigation is immersed in a coupling fluid. Conventional finite-element (FE) simulations for such applications would consume too much computational power due to the required spatial and temporal discretization, especially for the coupling fluid between ultrasonic transducer and specimen. However, FE simulations are in most cases essential to consider the mode conversion at and inside the solid specimen as well as the wave propagation in its interior. SIRFEM reduces the computational effort of pure FE simulations by treating only the solid specimen and a small part of the fluid layer with FE. The propagation in the coupling fluid from transducer to specimen and back is processed by the so-called spatial impulse response (SIR). Through this hybrid approach, the number of elements as well as the number of time steps for the FE simulation can be reduced significantly, as it is presented for an axis-symmetric setup. Three B-mode images of a plane 2-D setup-computed at a transducer center frequency of 20 MHz-show that SIRFEM is, furthermore, able to predict reflections at inner structures as well as multiple reflections between those structures and the specimen's surface. For the purpose of a pure 2-D setup, the SIR of a curved-line transducer is derived and compared to the response function of a cylindrically focused aperture of negligible extend in the third spatial dimension.
我们提出了一种名为SIRFEM的半数值模拟方法,该方法能够高效预测高频换能器的输出。特别是,这对于声学显微镜检查非常重要,因为被研究的样本浸没在耦合流体中。对于此类应用,传统的有限元(FE)模拟由于所需的空间和时间离散化,会消耗过多的计算能力,尤其是对于超声换能器和样本之间的耦合流体。然而,在大多数情况下,有限元模拟对于考虑固体样本内部及其内部的模式转换以及波传播至关重要。SIRFEM通过仅用有限元处理固体样本和一小部分流体层,减少了纯有限元模拟的计算量。从换能器到样本再返回的耦合流体中的传播由所谓的空间脉冲响应(SIR)处理。通过这种混合方法,有限元模拟的单元数量和时间步数都可以显著减少,正如针对轴对称设置所展示的那样。在换能器中心频率为20 MHz时计算的平面二维设置的三张B模式图像表明,SIRFEM还能够预测内部结构的反射以及这些结构与样本表面之间的多次反射。为了实现纯二维设置,推导了曲线换能器的SIR,并将其与在第三空间维度上可忽略不计的圆柱形聚焦孔径的响应函数进行比较。