Accuracy considerations for FDTD field solutions

A. Napoles, L. A. Ponce de Leon, J. Bagby
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引用次数: 1

Abstract

The finite difference time domain (FDTD) method of solving electromagnetic problems is gaining popularity. This is due to the simplicity of the technique, and to its ability to solve very complicated problems. Scattering from an infinitely long perfect electrical conductor (PEC) cylinder is studied to show how accuracy varies with field sampling point location. It is shown that accuracy varies with respect to the location of the field sampling point, and convergence at one point does not guarantee that the other points in the problem space have converged. Scattering from a PEC cylinder is also used to show how low frequency field solutions are affected by the number of time steps used in the FDTD algorithm. For low-frequency solutions, the FDTD algorithm has to run long enough to capture the low frequency spectra. Additionally, the absorbing boundaries have to be placed far away enough so that reflections do not contaminate the low frequency spectra of the signal.
FDTD场解的精度考虑
求解电磁问题的时域有限差分法(FDTD)越来越受到人们的欢迎。这是由于该技术的简单性,以及它解决非常复杂问题的能力。研究了无限长完美电导体(PEC)圆柱体的散射,揭示了采样精度随采样点位置的变化规律。结果表明,精度随现场采样点的位置而变化,在一点上的收敛并不能保证问题空间中其他点的收敛。PEC柱体的散射也用于显示低频场解如何受到时域有限差分算法中使用的时间步长的影响。对于低频解,FDTD算法必须运行足够长的时间来捕获低频频谱。此外,吸收边界必须放置在足够远的地方,以使反射不会污染信号的低频频谱。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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