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A Single-Field FDTD Formulation for Electromagnetic Simulations

机译:用于电磁仿真的单场FDTD公式

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摘要

A set of general purpose single-field finite-difference time-domain (FDTD) updating equations for solving electromagnetic problems is derived. The formulation uses a single-field expression for full-wave solution. This formulation can provide numerical results similar to those obtained using the traditional Yee algorithm with less computer resources. The traditional FDTD updating equations are based on Maxwell's curl equations whereas the single-field FDTD updating equations, used here, are based on the vector wave equation. Performance analyses of the single-field formulation in terms of CPU time, memory requirement, stability, dispersion, and accuracy are presented. It was observed that the single-field method is significantly efficient relative to the traditional one in terms of speed and memory requirements.
机译:推导了一组用于解决电磁问题的通用单场有限差分时域(FDTD)更新方程。该公式将单场表达式用于全波求解。该公式可以用较少的计算机资源提供类似于使用传统Yee算法获得的数值结果。传统的FDTD更新方程式是基于Maxwell的curl方程,而此处使用的单场FDTD更新方程式是基于矢量波方程。提出了单字段公式的性能分析,包括CPU时间,内存需求,稳定性,分散性和准确性。观察到,就速度和存储要求而言,单场方法相对于传统方法非常有效。

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