各向异性压电介质中机电波传播的有限元模拟
A finite element method for modelling electromechanical wave propagation in anisotropic piezoelectric media
摘要：
我们描述和评估的数值解策略模拟表面声波通过具有复杂几何形状的半导体器件。这个多物理问题与量子电子器件的设计特别相关。该数学模型包括两个耦合的偏微分方程的弹性波传播和电场，分别在各向异性压电介质。这些方程在空间上用有限元法离散，在时间上用有限差分法离散。后者的方法产生一个方便的数值解耦的控制方程。我们描述了如何利用计算机实现的解耦，并通过面向对象的编程技术重用独立的代码的泊松方程和线性时变弹性方程。首先，我们将模拟器应用到一个简化的模型问题，用于验证实施，此后，我们表明，该方法能够模拟现实世界的情况下，从纳米技术，涉及表面声波的几何非平凡的设备制成的砷化镓。
英文摘要：
We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic devices. The mathematical model consists of two coupled partial differential equations for the elastic wave propagation and the electric field, respectively, in anisotropic piezoelectric media. These equations are discretized by the finite element method in space and by a finite difference method in time. The latter method yields a convenient numerical decoupling of the governing equations. We describe how a computer implementation can utilize the decoupling and via object-oriented programming techniques reuse independent codes for the Poisson equation and the linear time-dependent elasticity equation. First we apply the simulator to a simplified model problem for verifying the implementation, and thereafter we show that the methodology is capable of simulating a real-world case from nanotechnology, involving surface acoustic waves in a geometrically non-trivial device made of Gallium Arsenide.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
