Subgrid Surface Impedance Absorbing Boundary Condition for FDTD Method

Y. Mao, Jinxiang Wan, Si Li, Qingpeng Zhang
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Abstract

Previously, we designed an effective SIABC, which significantly reduces the thickness of the absorption boundary compared with the traditional PML boundary condition. The use of SIABC requires a long distance between the scatterer and the boundary, which increases the memory and running time of the program to a certain extent. The sub grid technology alleviates this problem by setting the area near the scatterer as a fine grid area and other areas as a coarse grid area, so as to reduce the number of grids to be calculated in the whole area. We build a simple two-dimensional model and apply sub grid technology for simulation. The simulated results are compared with those of different grid sizes. It is found that the simulation accuracy is basically the same as that of full fine grid, and the calculation time is greatly shortened. The results show that the combination of sub grid technology and SIABC is a promising FDTD simulation method.
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FDTD法的亚网格表面阻抗吸收边界条件
在此之前,我们设计了一种有效的SIABC,与传统的PML边界条件相比,它显著降低了吸收边界的厚度。SIABC的使用要求散射体与边界之间有较长的距离,这在一定程度上增加了程序的内存和运行时间。子网格技术通过将靠近散射体的区域设置为细网格区域,将其他区域设置为粗网格区域,从而减少整个区域需要计算的网格数量,从而缓解了这一问题。我们建立了一个简单的二维模型,并应用子网格技术进行仿真。并与不同网格尺寸的模拟结果进行了比较。结果表明,仿真精度与全细网格基本一致,计算时间大大缩短。结果表明,子网格技术与SIABC相结合是一种很有前途的时域有限差分仿真方法。
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