Study for Singularity Processing Technology of MicrostripLine Edge Based on the LOD-FDTD
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摘要: 为解决现有方法在处理微带线边缘电磁场的奇异性时，存在计算效率和精度之间的矛盾，该文提出一种在局部1维时域有限差分法(LOD-FDTD)基础上，结合微带线边缘电磁场分布函数，并通过坐标变换可处理导体嵌入网格面积大于1/2时的情况，因而适用性更广的微带线边缘奇异性处理技术。与现有奇异性处理技术对比证明，该算法在采用的时间步长小于等于Courant-Friedrichs-Lewy(CFL)稳定性条件所允许最大时间步长5倍的情况下，具有更高的计算精度。且与一般LOD-FDTD算法对比证明，引入的微带线边缘电磁场分布函数使得该算法在节省计算资源和提高计算效率的同时，保持了更高的计算精度。
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关键词:
- 微带线 /
- 局部1维时域有限差分法 /
- 奇异性处理 /
- 坐标变换
Abstract: In order to solve the contradiction between the efficiency and accuracy as using the existing methods in the processing of the singularity of electromagnetic field near the microstrip line edge, in this paper, a microstrip line edge singularity processing technology based on the Locally One Dimensional Finite Difference Time Domain (LOD-FDTD), and combined with distribution function of electromagnetic field near microstrip line edge is proposed. The algorithm can handle conductors embedded in the grid area of more than 1/2 by the coordinate transformation, thus having wide applicability. Compared with the existing processing technology, the proposed algorithm in this paper has higher calculation accuracy, when the time step size is less than or equal to 5 times of the Courant-Friedrichs-Lewy (CFL) condition allowed. And compared with general LOD-FDTD, the proposed algorithm by introducing distribution function of electromagnetic field near microstrip line edge not only saves the computational resources and improves the efficiency, but also maintains the higher accuracy. -
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