Katsibas Theodoros K, Antonopoulos Christos S
Department of Electrical and Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece.
IEEE Trans Ultrason Ferroelectr Freq Control. 2004 Aug;51(8):964-72. doi: 10.1109/tuffc.2004.1324400.
The concept of perfectly matched layer (PML) has been proven very effective in absorbing electromagnetic waves in lossless media. An extension of this method and a complete three-dimensional (3-D) scheme properly suited for finite-difference, time-domain (FDTD) modeling of acoustic propagation and scattering in unbounded problems are presented in this paper. This generalized PML is constructed in such a way that it performs significant absorption of traveling waves in acoustics for both lossless and lossy media. Theoretically, no reflections occur when propagating waves encounter the lossy medium-PML interface, no matter what the angle of incidence is, introducing at the same time the possibility for further wave attenuation via the stretched coordinates idea. Numerical results support the suggested PML theory as well as reveal the proper modifications, which lead to the achievement of the optimum absorbing-boundary condition.
完全匹配层（PML）的概念已被证明在无损介质中吸收电磁波方面非常有效。本文提出了该方法的一种扩展以及一种完全适用于无界问题中声波传播和散射的有限差分时域（FDTD）建模的完整三维（3 - D）方案。这种广义PML的构建方式使其能对无损和有损介质中的声波行波进行显著吸收。从理论上讲，当传播波遇到有损介质 - PML界面时，无论入射角是多少，都不会发生反射，同时通过拉伸坐标的思想为进一步的波衰减提供了可能性。数值结果支持了所提出的PML理论，并揭示了适当的修正方法，这些修正方法有助于实现最佳吸收边界条件。
